What interest could be earned by a deposit of $1,500 for 6 months at a bank that pay a 4 1/8% annual interest rate, compounded semiannually?

Answers

Answer 1

Answer:

Interest = $720

Balance = $9,720

Step-by-step explanation:

P = $9,000, the principal

r = 8% = 0.08, the interest rate

n = 2, semiannual compounding

After 6 months, the interest is

9000 * 0.08 = $720

The balance after 6 months is

9000 + 720 = $9720

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Related Questions

A volleyball is bumped straight up, from 3 m above the ground, with a velocity of 14 meters per second. When does the ball hit the ground?
The equation for the balls height (in meters) is h=-5t^2+14t+3 where t is time in seconds.
(Please let me know if I did it wrong, and explain please)

Answers

The function table representing the numerical values is given below.

What is a function?

An function in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). Example -

y = f{x} = ax + b

Given is a function as -

h = -5t² + 14t + 3

We can write the complete table as -

time {sec}                                                          height {m}

-2                                                                 - 5 x 4 + 14 x - 2 + 3 = - 45

-1                                                                  - 5 x 1 + 14 x - 1 + 3 = - 16

-0                                                                 - 5 x 0 + 14 x 0 + 3 = 3

1                                                                   - 5 x 1 + 14 x 1 + 3 = 12

2                                                                  - 5 x 4 + 14 x 2 + 3 = 11

3                                                                  - 5 x 9 + 14 x 3 + 3 = 0

4                                                                  - 5 x 16 + 14 x 4 + 3 = - 21

-5                                                                 - 5 x 25 + 14 x 5 + 3 = - 52

Therefore, the function table representing the numerical values is given above.

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Pleas help me on this I need to pass this class

Answers

Answer:

Step-by-step explanation:

I think its the last one

Which inequality does the graph represent?

A. y > 3x + 1
B. y < 3x + 1
C. y < or equal to 3x+1

Answers

Can't really solve it without a graph but I can show you how to get the graph

so if you have a graphing calculator you can hit the y= button and type in your problem and just switch the inequality for a =

List the sample space for rolling a fair seven-sided die.

S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}

Answers

The sample space for rolling a fair seven-sided die is the one on the first option.

S= {1, 2, 3, 4, 5, 6, 7}

What is the sample space?

For any experiments with some given outputs, the sample space is the set of the possible outputs.

For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}

Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:

S= {1, 2, 3, 4, 5, 6, 7}

So the correct optionis the first one.

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Answer:

The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}

Step-by-step explanation:

that's it simple

Multiply and simplify. 12) √6 (4√3+2√6)​

Answers

The expression √6 (4√3 + 2√6)​ is multiplied and simplified to get 12√2 + 12

How to multiply and simplify the expression

From the problem we have the expression

√6 (4√3 + 2√6)​

The problem is solved multiplying first

=√6 (4√3 + 2√6)​

= √6 * 4√3 + √6 * 2√6

Using the distributive property, we can simplify each term:

√6 * 4√3 = 4 * √(6 * 3) = 4 * √18 = 4 * 3√2

√6 * 2√6 = 2 * √(6 * 6) = 2 * √36 = 2 * 6

Adding the two simplified terms, we get:

4 * 3√2 + 2 * 6 = 12√2 + 12

So, the expression √6 (4√3 + 2√6) simplified to 12√2 + 12.

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Equation line L is y=5x+1
The equation of line, L^2 is 2y-10x+3=0
Shows that these two lines are parallel

Answers

Answer:

Step-by-step explanation:

Yes, the two lines are parallel.

Lines are parallel if they have the same slope. The slope of a line can be found by rearranging the equation into the slope-intercept form: y = mx + b, where m is the slope.

For line L: y = 5x + 1, so the slope is 5.

For line L^2: 2y - 10x + 3 = 0, rearrange to get y = -5x + (3/2). The slope of the line is -5.

Since the two lines have the same slope (both 5), they are parallel.

Total Revenue, Total Cost, and Profit

Answers

Profit equals total revenue minus total costs, which is the relationship between a company's total revenue, profit, and total costs. Give an illustration of a cost that an accountant wouldn't consider a cost, such as an opportunity cost.

How can I calculate my profit?

Profit is the result of revenues minus costs. Some expenses are subtracted from the gross profit. To calculate net profit, you subtract all expenses.

What exactly is the overall cost?

The whole cost a business incurs to produce a specific level of production is known as the overall cost in economics.

Total revenue is the total amount of money a seller can earn from selling goods or services to clients. PxQ, or the purchase price multiplied by the quantity of the goods sold, is the formula for calculating this. The term "total cost" in economics refers to the complete amount of expenses a manufacturer incurred while producing a good.

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The complete question is: What Is the Relationship Between Total Revenue Profit & Total Costs?

GIVING BRAINLIST

3. Which of the following graphs represents the solution set for y < –2x – 4?
also I have a bunch more so after you answer this check out my page for the rest giving brainlist on all

Answers

Answer

c

explanation

A. y < -2x + 4

B. y < -4x -2

D. y < 2x + 4

C. y. < -2x - 4 This would be the correct answer

The scores for 21 students on an exam are summarized in the stemplot below.

A stemplot title exam scores has values 49, 69, 71, 72, 75, 75, 76, 77, 80, 81, 82, 84, 85, 85, 86, 89, 89, 90, 91, 94, 97.

The teacher realizes that a mistake was made and the student whose score was recorded as 49% should have been 69%. If the mistake is corrected, what effect will this have on the mean and median scores?

The mean and median will both increase.
Neither the mean nor the median will change.
The mean will increase but the median will decrease.
The mean will increase but the median will be unchanged.

Answers

Answer: the mean will increase but the median will be unchanged

Step-by-step explanation: (I used desmos. Plugging all values in and using functions --> statistics ----> mean/median)

before values:

median- 82

mean- 80.81

After values:

median- 82

mean- 81.76

What is the solution for the system of linear equations shown in the graph? a coordinate grid with one line that passes through the points 0 comma 1 and 1 comma 2 and another line that passes through the points 0 comma 0 and 1 comma negative 3 three fourths comma negative one fourth three halves comma negative one half three halves comma negative three halves negative one fourth comma three fourths

Answers

A graph which shows a solution to the given system of linear equations is: a coordinate grid with one line that passes through the points 0 comma 0 and 1 comma 4 and another line that passes through the points 0 comma negative 1 and 2 comma 1.

What is a graph?

A graph can be defined as a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

here, we have,

In Mathematics, the graph of any proportional relationship such as a linear equation is represented by a straight line with the data points passing through the origin (0, 0) because as the values on the x-coordinate decreases or increases, the values on the y-coordinate decreases or increases simultaneously.

In conclusion, we can logically deduce that the graph (see attachment) representing the given system of linear equations shows a proportional relationship in one of the lines.

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Please help me with this I don't understand it Find the value of x (5w+20) 3w 4x (3a+2b)

Answers

The value of x is 30°

How to find the value of x?

Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.

(5w+20)° + 3w° = 180° (sum of angles on a straight line is 180° )

5w +20 + 3w = 180

8w + 20 = 180

8w = 180 - 20

8w = 160

w = 160/8

w = 20°

3w° + 4x°  = 180° (sum of angles on a straight line is 180° )

3w + 4x  = 180

Put w = 20 and solve for x:

3(20) + 4x  = 180

60 + 4x  = 180

4x = 180 - 60

4x = 120

x = 120/4

x = 30°

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The vertex form of a quadratic function is f(x)=(x−h)2+k, where (h, k) represents the vertex of the parabola. Which is the equation of the function shown in the graph, f(x)? On a coordinate plane, a parabola has a vertex at (negative 3, negative 2) and goes through points (negative 6, 7) and (0, 7).

Answers

The equation of the function shown in the graph is f(x) = x² + 6x + 7.

What is Parabola?

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

We know that, equation of a parabola in vertex form is,

f(x) = a (x - h)² + k, where (h, k) represents the vertex of the parabola.

Here, it is already given that, vertex form of a quadratic function is

f(x) = (x − h)² + k

That is, a = 1

Vertex = (-3, -2)

Equation of the function is,

f(x) = (x - -3)² + (-2)

f(x) = (x + 3)² - 2

f(x) = x² + 6x + 9 - 2

f(x) = x² + 6x + 7

Hence the equation of the function is f(x) = x² + 6x + 7.

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Answer:

 f(x) = x² + 6x + 7.

Step-by-step explanation:

1. The total cost y of an amusement park membership and the number an

merpret can be represented with Park meratior y= 15x + 20. Find and interpret the rate of change and initial value. (Example 1)
please provide an explanation on how to do it

Answers

The equation y = 15x + 20 means that the registration fee is $20 and $15 is charged per month

What is an equation?

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Let y represent the total cost of an amusement park membership for x number of months

Given that:

y = 15x + 20

Therefore the rate of change is $15 per month and the initial fee is $20. This means that the registration fee is $20 and $15 is charged per month

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Construct a dilated version of quadrilateral HIJK, shown below, with a scale factor of 2 and the center of dilation at (-1,-1).
K(-1,3)
H(-1, 2)
J(2,3)
I (1, 1)

Answers

Step-by-step explanation:

the new cocrfinations are

K' (-1, 7)

H' (-1, 5)

J' (5, 7

I' (2, 2)

Consider the graph of the system of equations. What number of solutions, if any, does this system have? Justify your response.

Answers

they don’t have any solutions; the lines are parallel to each other and don’t intersect at any point.

Carol was collecting quarters from
different states. She had 5 quarters
from California, 8 from Texas, and
twice as many from Florida as from
California and Texas combined. If
Carol had 39 quarters, how many
were from Florida?

Answers

Answer:

26 quarters were from Florida

Step-by-step explanation:

The total number of quarters from California and Texas is 5 + 8 = 13.

Twice the number of quarters from California and Texas is 2 * 13 = 26.

The number of quarters from Florida is 39 - 13 = 26.

So, Carol had 26 quarters from Florida.

Please use the law of sines to show me how to solve the triangle please. Thank you .

Answers

Angles in a triangle add to [tex]180^{\circ}[/tex].

[tex]\angle B=180^{\circ}-115.5^{\circ}-27.2^{\circ} \longrightarrow \boxed{\angle B=37.3^{\circ}}[/tex]

Using the Law of Sines:

[tex]\frac{AC}{\sin 37.3^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{AC=\frac{76\sin 37.3^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]

[tex]\frac{BC}{\sin 27.2^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{BC=\frac{76\sin 27.2^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]

sin(A) / a = sin(B) / b = sin(C) / c

where A, B, and C are the angles of the triangle, and a, b, and c are the lengths of the sides opposite those angles.

60 POINTSSSS!!!!!!
BUT ONLY ANSWER CORRECTLY!
what is the amplified the sinusoidal function? enter your answer in the box.

Answers

The amplification of the sinusoidal function will be 4 times.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the sinusoidal function is shown below.

The amplification of the function is given as,

A = Range / 2

A = (1 - (-7)) / 2

A = 8 / 2

A = 4

The amplification of the sinusoidal function will be 4 times.

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based on the data what is the difference between the median of the data including the outlier and excluding the outlier

Answers

The difference between the median is 0.5. option D

What is the difference?

Getting the sets of values that we have in order, we can see that we have;

12, 15, 33, 45, 46, 51, 52, 93

We can find the median between  4th and 5th numbers this is now going to give us that;  (45+46)/2 =  45.5

Median value  = 45.5

We can see that 93 is the outlier in the data set so if we remove it we would have;

12, 15, 33, 45, 46, 51, 52

The median of the data set in this case is 45.

The difference is;

45.5 - 45 = 0.5

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Missing parts;

The number of lattes sold daily for two coffee shops is shown in the table:

Lattes

12

52

93

33

51

15

46

45

Based on the data, what is the difference between the median of the data, including the outlier and excluding the outlier?

A.46

B.45.5

C.45

D.0.5

5-3y=6 so (5-3y)squared is ...?

Answers

5-3y=6 so (5-3y)squared is 36

What is the square of a number?

The square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3.

From the question;

The equation 5 - 3y = 6. Next we are to find (5 - 3y)².

If we know 5 - 3y = 6, we can turn this equation, (5 - 3y)²

into this: 6² (because we can substitute the expression with 6)

6² is 36.

Hence,  [tex](5-3y)^{2}[/tex] is 36

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Nixon watches a movie with his friends. they watch 50% of the movie and take a break. they then watch the remaining 65 minutes. how long was the movie?

Answers

Answer:

130 minutes

Step-by-step explanation:

We know

They watch 50% of the movie and take a break; they watch the remaining 65 minutes later.

So, to find it, we take

65 x 2 = 130 minutes

So, the movie was 130 minutes long.

Equation: 25/6=71/5-K

Answers

25/6=71/5-k

k=71/5-25/6

k=301/30

Can someone explain this for me please

Answers

The instantaneous rate of change of the daily receipts on day 42 is approximately -0.542 million dollars day-1.

What is rate of change?

Rate of change is a major of house quickly one quantity change in relation to another.it is parisu of the changing the changing another quantity over specified time period.

The instantaneous rate of change of the daily receipts on day 42 can be estimated by taking the difference in receipts between day 28 and day 42 and dividing it by the difference in time between them. Since day 28 and day 42 are 14 days apart, the instantaneous rate of change of the daily receipts on day 42 can be calculated as:

Rate of change = (5.587 - 14.666) / 14 = -0.542 million dollars day-1.

Therefore, the instantaneous rate of change of the daily receipts on day 42 is approximately -0.542 million dollars day-1.

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The base of a triangular pyramid is an equilateral triangle. Each side of the base measures 6 in. The area of the base is 15.6 in². The slant height of the pyramid is 8 in.

What is the surface area of the pyramid?

Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

The surface area of the triangular pyramid can be found by adding the area of the base to the area of the lateral faces. The lateral faces are congruent isosceles triangles.

The area of the base can be found using the formula for the area of an equilateral triangle:

A = (s^2 * √3) / 4, where s is the length of one side of the equilateral triangle base.

Since the area of the base is given as 15.6 in², the length of one side of the base can be found:

15.6 = (s^2 * √3) / 4

s^2 = (4 * 15.6) / √3

s^2 = 64 / √3

s = 4 * √(64 / 3)

s = 4 * 4

s = 6

So, each side of the base measures 6 in.

Next, find the surface area of the lateral faces. The lateral faces are congruent isosceles triangles with a slant height of 8 in and base length of 6 in.

The area of each lateral face can be found using the formula for the area of an isosceles triangle:

A = (b * h) / 2, where b is the base length and h is the height.

For this pyramid:

b = 6 in

h = 8 in

A = (6 * 8) / 2 = 24 in²

Since there are three lateral faces, the total area of the lateral faces is 3 * 24 in² = 72 in².

Finally, the surface area of the pyramid is the sum of the area of the base and the area of the lateral faces:

A = base area + lateral face area

A = 15.6 in² + 72 in² = 87.6 in²

What is the place value of the 5 in the number 2.35 x 10^4? Justify your answer.

Answers

The place value of 5 in 2.35 x 10⁴ is 500.

What is scientific notation?

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number  2.35 x 10⁴ in scientific form.

Now, The decimal form of the number is   2.35 x 10000.

= 23500.

Now, In 23500 5 is in the hundredths place,

Therefore, The place value of 5 is 500.

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What is the converse of the statement below?
x⇒y
O A. y⇒ x
OB. ¬y⇒¬x
X
O C. ¬x⇒y
O D. ¬x⇒¬y

Answers

The converse of the statement  x⇒y is y⇒ x, So correct option is A.

What do you mean by converse statement?

A converse statement is a type of logical statement in mathematics that takes a conditional statement and switches its hypothesis and conclusion. The converse of a statement is formed by interchanging the hypothesis and conclusion of the original statement. In other words, the converse of a statement takes the form "If B, then A," whereas the original statement takes the form "If A, then B."

For example, consider the statement "If it rains, then the roads are wet." The converse of this statement would be "If the roads are wet, then it rains." It's important to note that the converse of a statement may not always be true, even if the original statement is true.

In mathematical proofs, a converse statement can sometimes be used to support a proof, but it is not always reliable on its own. This is because the converse of a statement only establishes a logical relationship between two statements if both the original statement and its converse are true. If either the original statement or its converse is false, then the converse cannot be used to make a conclusion about the relationship between the two statements.

In conclusion, a converse statement is a type of logical statement that takes a conditional statement and switches its hypothesis and conclusion. It's important to note that the converse of a statement may not always be true, and its validity depends on the validity of both the original statement and its converse.

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Three girls download a total of 36 songs on their iPods. Jane downloaded twice as many as Inez and since Tracy wanted to have the most, she downloaded one more than Jane did. How many songs did each girl download

Answers

Answer:

they each download 36 songs

George is standing on the top of a 275 ft building. He throws a ball straight up into the air. The ball's initial velocity is given as 48 ft/sec. The height, in feet, of the ball after t seconds is given by &=-16+48 +275. How long will it take for the ball to reach its maximum height above the ground? seconds What is the maximum height that the ball reaches? feet

Answers

The maximum height attained by the ball is 311 feet and it takes approximately 1.5 seconds to get there

What is the Maximum Height attained

To find the time at which the ball reaches its maximum height, we need to find when its velocity is equal to 0. We can find the velocity at any time by taking the derivative of the height function, f(x). So, f'(x) = -32x + 48. Setting f'(x) = 0, we get:

f'(x) = -32x + 48 = 0

32x = 48

x = 1.5

So it takes 1.5 seconds for the ball to reach its maximum height.

b. To find the maximum height, we substitute t = 1.5 back into the height function, f(x):

f(1.5) = -16(1.5)^2 + 48(1.5) + 275

f(1.5) = -16(2.25) + 72 + 275

f(1.5) = -36 + 72 + 275

f(1.5) = 36 + 275

f(1.5) = 311 ft

Therefore, the maximum height the ball reaches is 311 feet.

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A 4-quart container of window cleaner costs $12.48.​What is the price per cup?

Answers

Answer:1.28

Step-by-step explanation:

O Math on the Spot Cara's muffin recipe calls
for 1½ cups of flour for the muffins 1/4 and cup
of flour for the topping. If she makes 1/2 of the
original recipe, how much flour will she use?

Answers

Answer:

For the muffins, she will use 3/4 cup of flour and for the topping, she will use 1/8 cup of flour.

Other Questions
only professionals with management responsibilities have ethical responsibilities to the environment. a)true b)false find the difference quotient of f; that is, find Determine whether the statement below is true or false. Justify the answer. Every elementary row operation is reversible. A. The statement is false. The only reversible row operation is interchanging two rows. B. The statement is true. Interchanging can be reversed by scaling, and scaling can be reversed by replacement. C. The statement is true. Replacement, interchanging, and scaling are all reversible. D. The statement is false. The only reversible row operations are scaling a row and interchanging two rows. TRUE/FALSE. All of a company's depreciation, property taxes and insurance premiums are considered manufacturing overhead. if your car tire requires 30 psi of pressure, approximately how many kg per square cm would that equal? What action are you taking if you use your mobile app to transfer funds? what policies should the county adapt to reduce the possibility of age discrimination suits in the future? Lisa is flying from Boston to Denver with a connection in Chicago. The probability her first flight leaves on time is 0.25 . If the flight is on time, the probability that her luggage will make the connecting flight is 0.8 , but if the flight is delayed, the probability that the luggage will make it is only 0.65. Suppose you pick her up at the Denver airport and her luggage is not there. What is the probability that her first flight was delayed? A seamstress used 4 meters of string to make 20 bows. She used _ of a meter for each bow El reloj est debajo de mi escritorio. what will we say in english? A line has this equation: -4y = -24x - 32 Write an equation for the parallel line that goes through (-10, 6). How doe public opinion on motherhood compare to the reality outlined by the tudy in the text? Commonlit THINK MOTHERING YOUNG KIDS IS HARD? GET READY FOR EVEN TOUGHER TIMES. 2016 Commonlit Type the correct anwer in the box. Ue numeral intead of word. If neceary, ue / for the fraction bar. Clara ha a package of ix cookie he want to hare equally among her friend. A brown circle cookie. A brown circle cookie. A brown circle cookie. A brown circle cookie. A brown circle cookie. A brown circle cookie. If Clara make ure that each piece of cookie will be 3 5 of a cookie, he can hare her cookie among Please answer both parts 1. and 2.(FRENCH!) you are helping to prepare a holiday dinner at your mother's house, when suddenly your sister misses the vegetable she is trying to slice and cuts deeply into her finger instead. blood is spurting from the cut, which indicates to you that your sister: Figure DEFG is a dilation with a center (0,0) of figure DEFG. What is the scale factor? PLS HELP guano from fish-eating birds is a commercial source of this element. AssessmentDeforestation is happening all around the world, but it is also happening in your own backyard. Before trees are cleared for a new home or business, reutilizing space, or revitalizing old homes should be considered. These individual decisions can help reduce the impact of deforestation to local ecosystems. More enforced regulations and larger amounts of forests secluded for protection will make an even bigger difference globally. These decisions are made by state, national, and international lawmakers. You can sway their decision making by communicating your environmental concerns to them.The carbon cycle has its own way of using biology to store carbon, and our forests are part of its many paths. We can increase carbon sequestering by using these technologies or supporting companies that use these technologies in their manufacturing processes.Now, here's your call to action.Find Graphical IconCall To ActionThe increasing demand for palm oil encourages corporations to clear more and more rainforests for palm tree crops. Dont be part of that demand! Use palm oil free products or only use certified sustainable palm oil products.You likely use numerous palm oil products every day. Visit the World Wildlife Federation to learn which products contain palm oil. Use the Palm Oil Scorecard to search for the companies that make products without palm oil or companies that only use palm oil from sustainable farming practices. (Look below the banner for the search engine.)Deforestation Current EventCurrent event assessments allow you to get the latest information on environmental problems all over the world. This assessment is a video current event. Instructions:Select one of the current event video options to watch.Download and complete the 01.06 Deforestation Current Event Worksheet.Assessment: Check your work against the Rubric.Submit your work to the 01.06 Deforestation assessment. explain two reasons social media make it easier for interest groups to mobilize potential members. which words from the text most effectively help indicate the meaning of the word visage as it is used in this passage?