Answer:
Step-by-step explanation:
2 hrs 12 mins
Which expression is equivalent to
−
2
�
+
�
+
7
�
−2w+w+7w?
Answer:
The expression equivalent to
−
2
√
√
+
7
√
−2w+w+7w is 7√ - 2w.
0
9
You deposit $200 each month into an account earning 7% interest compounded monthly.
a) How much will you have in the account in 35 years?
https://ohm.lumenlearning.com/assess2/?cid=69660&aid=51 5/#/skip/
b) How much total money will you put into the account?
$
c) How much total interest will you earn?
$
Question Help: Video 1 Video 2
a) On compounding the amount of money in account after 35 years will be $356796.54.
b) $84000 is the total money that will be put into the account.
c) The total interest earned is obtained as $272796.54.
What is Compound Interest?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
a) Figure out the period interest rate, i.
Use the formula: i=r/m, where r is the nominal interest rate and m is the number of compounding periods.
If the bank pays 7% compounded monthly, that means that the nominal annual interest rate is 7.0% and the monthly period interest rate is 7/12 = 0.58%.
The principal amount A = $200
The number of times interest applied per time period n = 35 × 12 = 420
Now, use the uniform series compound-amount factor to find the future value.
The equation is -
F = A [((1 + i)^n) - 1] / i
where F is the future value, A is the annuity amount, i is the period interest rate.
Substitute the values into the equation -
F = 200 [((1 + 0.0058)^420) - 1] / 0.0058
F = 200 [((1.0058)^420) - 1] / 0.0058
F = 200 (11.3471 - 1) / 0.0058
F = 200 (10.3471) / 0.0058
F = 200 × 1783.9827
F = 356796.54
Therefore, the amount will be $356796.54 after 35 years.
b) The total money put in the account will be -
Total amount = The principal amount × The number of times interest applied per time period
Total amount = A × n
Substitute the values into the equation -
Total amount = 200 × 420
Total amount = 84000
Therefore, the total amount is $84000.
c) The total interest earned will be -
Total Interest = The future amount - The total money put in the account
Total Interest = F - The total money put in the account
Substitute the values into the equation -
Total Interest = 356796.54 - 84000
Total Interest = 272796.54
Therefore, the total interest is $272796.54.
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Algebra 1, please help,
Answer:
I don’t even know
Step-by-step explanation:
What values complete the table if y = �3?
Question 3 options:
A)
9, 0, 9
B)
–3, 0, 3
C)
–9, 0, 3
D)
–3, 0, 9
[tex]y= \sqrt[3]{x} [/tex]
The values that will complete the function table are;
B) –3, 0, 3
How to solve function tables?The function we are trying to solve is expressed as;
y = ∛x
When x = -27, we have the result as;
y = ∛-27
y = -3
When x = 0, we have;
y = ∛0
y = 0
When x = 27, we have;
y = ∛27
y = 3
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Find the coordinates of the point on the unit circle at an angle of 225∘.
Give your answer in the form (x,y) and leave any fractions in fraction form.
The unit circle has the co-ordinates (-√2/2, -√2/2)
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: The unit circle and the point makes an angle of 225
we know the co-ordinates of any point on the unit circle is given by
x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis
Thus x=cos225
=-√2/2
and y=sin225
=-√2/2
Hence, The required point is given by co-ordinates (-√2/2, -√2/2)
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Find the simple interest for the following. Use ordinary time (360 days). Round to the nearest cent.
$34,000 at 7.5% for 100 days
When the principal is $ 34000, the rate is 7.5%, and the time period is 100 days, the simple interest is $ 698.63.
what is simple interest ?Increase the investment by the lending rates, the length of time, and other factors to arrive at simple interest. Simple return = money + interest + hours is the selling formula. This method makes it easiest to calculate interest. The most conventional technique to figure out interest is as a portion of the principal sum. He will indeed pay his share of the 100percent interest, for example, if he buys $100 from just a friend and offers to pay it back with 5% interest. $100 (0.05) = $5. When you borrow more money, you should pay interest, then when you give it out, you must charge interest. Interest is often determined as an extra component of the loan total. The interest on the loan is this percentage.
given
r = R/100 = 7.5%/100 = 0.075 per year,
putting time into years for simplicity,
100 days ÷ 365 days/year = 0.273973 years,
then, solving our equation
I = 34000 × 0.075 × 0.273973 = 698.63115
I = $ 698.63
When the principal is $ 34000, the rate is 7.5%, and the time period is 100 days, the simple interest is $ 698.63.
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How do I realign the handlebars for my big Flyer?
To realign the handlebars to your bike, you would need to:
Stand with your bicycle in front of you.Put your front wheel between your legs.Hold the bike's front wheel tight with your legs to keep the bike upright.Grab the handlebar and make it perpendicular to the front wheel.Keep the bike steadyLoosen the stem using the Allen wrench. Do minor adjustments using your hand.Put the handlebar in a straight position. Then use a ruler, tape measure, or adjust by sight to the correct placement.Use the Allen wrench or Hex key to gently turn the two bolts (some bikes have one) on the stem until they hold tight.After tightening the bolt(s), check the alignment again.Now, try rotating your bike using a handlebar.Bicycles' steering is controlled by a handlebar. As it is typically immediately mechanically connected to a pivoting front wheel via a stem that is then attached to the fork, it is the equivalent of a tiller for vehicles and watercraft.
The steps to fix your big Flyer bike has been given above.
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Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. The result is 120 grams of 15% sugar syrup. How much pure sugar is in x grams of 10% syrup?
Answer:
40 grams
Step-by-step explanation:
........................
Answer: 0.10x grams
Step-by-step explanation:
NEED HELP ASAP!!!
Given the graph of the function f(x) which graph shows the function g(x) if g(x) = f(x + 3) ?
Answer:
(d) see below
Step-by-step explanation:
You want the graph of g(x) = f(x+3) given the graph of f(x).
TranslationThe graph of the parent function f(x) is translated right h units and up k units by ...
g(x) = f(x -h) +k
Here, we have (h, k) = (-3, 0), so the translation is to the left by 3 units.
The graph that shows f(x) translated left 3 units is attached.
Part A. Write an expression to find the cost of b books at $12 each
Part B. Using the variable h, write an expression to show the total cost you would have to pay a babysitter that charges $10 per hour plus $5 in gas to drive herself to your house.
Part A. The cost of b books at $12 each can be found with the expression: 12 * b
Part B. The total cost to pay a babysitter who charges $10 per hour and $5 in gas can be found with the expression: 10 * h + 5
rewrite the expression without absolute value bars
The expression without absolute value bars is 3.84.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
|√10 - 7 |
= | 3.16 - 7 |
= | -3.84 |
= 3.84
Thus,
The value of the expression is 3.84.
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PLEASE HELP ME ANSWER
Answer: D)12 units
Step-by-step explanation:
Because, your y axis travels from 34 to 22, in that case you have to take away 22 from 34 which you get 12.
Tonya handed out 240 fliers advertising a school play. It took her 5 hours to hand out all 240 fliers.
If Tonya’s rate was StartFraction 240 fliers Over 5 hours EndFraction , at what unit rate did she hand out fliers each hour?
Tonya handed out
fliers per hour.
Which coordinate pair is the best estimate of the point of intersection in this graph?
Answer:
(1,1)
Step-by-step explanation:
Divide the polynomials.
The form of your answer should either be p(x) or p(x) +
x
is an integer.
5x³ 22x²
x
-
5
17x +11
k
where p(x) is a polynomial and k
5
The division expression is (5x³ - 22x² - 17x + 11)/(x - 5) = 5x² + 3x - 2 + (2/(x - 5))
How to divide the polynomialFrom the question, we have the following parameters that can be used in our computation:
(5x³ - 22x² - 17x + 11)/(x - 5)
Using a synthetic setup, we have
x - 5 = 0
This gives
x = 5
So, the set up becomes
5 | 5 -22 -17 11
The synthetic division is then carried out as follows
5 | 5 -22 -17 11
25 15 -10
5 3 -2 1
So, we have
Quotient = 5 3 -2
Remainder = 1
Introduce the variable
Quotient = 5x² + 3x - 2
Remainder = 2
Hence, the quotient is 5x² + 3x - 2 and the remainder is 2
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54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap?
There is evidence of a positive association between liking rock and liking rap as this can be seen from the fact that a larger proportion of students who like rock also like rap.
How to illustrate the informationWhen the values of two variables tend to rise together, this is referred to as a positive association between the two variables. When the values of one variable tend to fall as the values of the other variable rise, there is a negative relationship between the two variables.
There is proof that liking rap and liking rock are positively correlated. The fact that more pupils who enjoy rock also like rap (27 out of 33, or 81.8%) than those who don't like rock (17 out of 21, or 80.9%) demonstrates this.
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54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap
likes rap doesn't like rap
likes rock 27 6
doesn't like rock 4 17
If your original biconditional statement is true, would the contrapositive be true? Give an example to illustrate your reasoning. ＇
Answer:
Step-by-step explanation:
es, if the original biconditional statement is true, then its contrapositive is also true.
Example: "If it rains, the grass is wet."
The contrapositive of this statement would be "If the grass is not wet, then it didn't rain."
Both the original statement and its contrapositive have the same truth value, as they are logically equivalent.
Hamza had MVR 835 in his pocket. While eating in a restaurant, he ordered a fish curry for MVR 30 ,a plate of rice for MVR 15 and a bottle of fruit juice for MVR 39. How much money was left with him ?
Answer:
i hope this help
Step-by-step explanation:
Hamza spent 30 + 15 + 39 = 84 MVR.
So, Hamza had 835 - 84 = 751 MVR left.
Which of the following is the first step to rewriting the formula P = 2l + 2w to solve for l
A)
B)
C)
D)
b) Subtract [tex]2w[/tex] from both sides
Consider the graphs of f(x) = 2^x and g(x).
Which transformation can be used to describe g(x)?
Answer:
6 to right
Step-by-step explanation:
The value of y when x equals 0 on f(x) is 1. By looking at the graph of g(x), it looks like it reaches the value of y = 1 when x is 6. It also This means the same point is shifted over 6 to the right (considering it looks like no other modifications are made other than the shift).
A deli is trying out new labels for their cylindrical-shaped wheels of cheese. The label covers the entire wheel except the circular top and bottom.
If the wheel has a radius of 22 centimeters and a height of 16 centimeters, how many square centimeters of the wheel does the label cover? (Approximate using pi equals 22 over 7)
A. 15,488 over 7 square centimeters
B. 36,784 over 7 square centimeters
C. 1,936 over 7 square centimeters
D. 340,736 over 7 square centimeters
Answer: The real answer is 15,488 over 7 square centimeters.
Step-by-step explanation:
For this question, you need to use the formula for surface area of a cylinder: SA = 2πr^2 + 2πrh
Since the label DOES NOT cover the bases, you do not need to do the first part of the formula (2πr^2) because that part is finding the area of the bases. We are only looking for how many square centimeters the label IS covering.
2πrh
So times the radius by 2.
22 * 2 = 44
Now times 44 by the height
44 * 16 = 704
And finally, times 704 by 22/7
22/7 * 704 = 15,488 over 7 square centimeters
So 15,488 over 7 square centimeters is the answer.
You might get it in decimal form (something like this number 2,212.5714285) but if you divide 15,488 by 7 you will get the same decimal.
Also, I did the same test and got 100% so I know the right answer
I have a photo of the question from my test:
Have a good day :)
Which table represents a linear function?
Which table represents a linear function? - 1
A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 1. Thus, the correct option is A.
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.
For the table to represent a linear function, the function must have a constant slope between any two points.
For the first table, the slope between the first two points is,
m = (7-3)/(2-1) = 4
The slope between the last two points is,
m = (15-11)/(4-3)
Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.
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Help me asap and need the answer quick
Answer:20 m/s
Step-by-step explanation:
Answer:
20 m/s
Step-by-step explanation:
700 ÷ 35 = 20 m/s
The reader can tell that this excerpt is part of the poem’s resolution, because the speaker
finally feels a sense of belonging.
finally learns how to play baseball.
no longer wants to get home before dusk.
no longer tries to catch the ball.
Answer:
A
Step-by-step explanation:
draw a design that uses three equilateral triangles and two isosceles triangles. label the vertices. list all the congruent sides and angles
In geometry, an equilateral triangle is one with three equal-length sides. In the traditional Euclidean geometry, an equilateral triangle is also equiangular, which means that each of the three internal angles is 60 degrees and that they are all congruent with one another.
What is internal angle?A shape's interior can contain angles. The closed, side-and-vertex-containing shapes are known as polygons. All of the internal angles of a regular polygon are equal. For instance, the inner angles of a square are all exactly 90 degrees, or the right angle.Interior angle of a polygon is equal to the sum of interior angles divided by the number of sides, according to the following formula. A polygon has a total of 360° in its outside angles. Exterior angle of a polygon is equal to 360 divided by the number of sides, according to the following formula. An interior angle is one that is located inside a polygon. As an illustration, a triangle has three interior angles.To learn more about internal angle, refer to:
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The design using three equilateral triangles and two isosceles triangles is shown using the vertices.
What are equilateral triangles?Any triangle with three equal sides is said to be equilateral. The third side of this particular isosceles triangle is also equal. ABC has the formula AB = BC = CA. An equilateral triangle has the following qualities:
It has three equal sides. The three angles are equal. Every angle of an equilateral triangle is 60 degrees since the sum of the interior angles is 180 degrees.
It has three regular sides and is a polygon.
What are isosceles triangle?Regardless of which way the triangle's apex points, an isosceles triangle is one that has two equal sides. Angle determination can be done using isosceles triangles. AB Equals AC in the isosceles triangle ABC. Likewise, PQ Equals PR in the triangle PQR. The isosceles triangle's base is represented by the uneven sides BC and QR, while vertices A and P are regarded as the triangle's peaks. Among its attributes are:
There are equal sides on it. The basis angles are two equal angles that make up the object. A triangle is referred to as a right isosceles triangle when the third angle is 90 degrees.
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4. Consider the inequality 2n+7>13.
(a) For each value of n in the table, find the (b) Solve the inequality 2n+7>13
value of 2n +7. Then, state whether that
value of n is a solution.
the two-step techniques from class.
Value of 2n+7
The value of 'n' satisfies the inequality 2n + 7 > 13 is [4, ∞).
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The given inequality is 2n + 7 > 13.
Assuming n ∈ I.
Therefore, The values of 'n' that satisfies the giver inequality is,
At, n = 3, 2n + 7 = 13.
So, The values of 'n that satisfies the inequality is [4, ∞).
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A car rental agency charges $250 per week plus $0.10 per mile to rent a car.
a. Write an equation that expresses the weekly cost to rent the car, y, in terms of the number of miles driven during the week, x.
b. How many miles did you drive during the week if the weekly cost to rent the car was $260?
Answer:
a. 250+0.10x=y
b. 250+0.10x=260
-250. -250
———————————-
0 + 0.10x = 10
——— ——-
0.10 0.10
—————————————-
X = 100
( you drove 100 miles )
Step-by-step explanation:
In question A, basically you already have a base of 250 and you add 0.10, multiplying it with x, which is the number of miles, equals to the total amount. So the answer for that question is : 250+0.10x = y. For question B, you just had to substitute the y for 260, and solve for x ( subtract 250 from both sides, divide by 0.10 on both sides, and you get x = 100. So the answer for that question is you drove 100 miles.
hope this helped =)
The cost of renting a car can be formulated as y = 250 + 0.10x, with y representing the total cost and x the distance travelled. If the total cost was $260, then 100 miles were driven.
Explanation:The car rental agency's charge can be represented as a linear equation with a fixed cost ($250/week) plus a variable cost ($0.10/mile). This can be represented algebraically as: y = 250 + 0.10x, where y is the total weekly cost and x signifies the number of miles driven.
To find out how many miles (x) were driven for a total cost of $260, substitute y with 260 in the equation and solve for x:
260 = 250 + 0.10xSubtract 250 from both sides: 10 = 0.10xDivide by 0.10 to solve for x: x = 100Therefore, if the weekly cost to rent the car was $260, you drove 100 miles.
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In parallelogram LMNP if PQ=21 find QM.
5 stars and like
Answer: The diagonals of a parallelogram bisect each other, then. QM = PQ = 21. Explore all similar answers.
Step-by-step explanation: got do the d
Troy has to order 8 pounds of ham, 15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy’s order?
A. $93.75
B. $110.25
C. $204.23
D. $293.66
The total cost of Troy’s order is $93.75 for ham, cheese, and turkey.
The price chart below shows the ingredients that Troy needs to buy. A pound of onions costs $0.79, a pound of tomatoes costs $0.93, a pound of cheese costs $1.85, a pound of ham costs $3.15, and a pound of turkey costs $3.40.
The question above asks about Troy, who has to order 12 pounds of turkey, 15 pounds of cheese, and 8 pounds of ham for his sandwich bar.
We need to sum up the total price as:
Ham: 8 pounds x $3.15 equals $25.2
Cheese: 15 pounds x $1.85 equals $27.75
Turkey: 12 pounds x $3.40 equals $40.8
The total of the prices is: $25.2 + $27.75 + $40.8 = $93.75
Thus, the right choice is A.
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Which equation represents the graph? a graph of a line that passes through the points 0 comma negative 3 and 4 comma negative 1 y equals negative one half times x plus 6 y equals one half times x minus 3 y = 2x − 3 y = −2x + 6
The equation of the line is y = (1/2)x - 3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line passes through (0, -3) and (4, -1)
Now,
The equation of a line is y = mx + c
m = (-1 + 3) / (4 - 0)
m = 2/4
m = 1/2
Now,
(0, -3) = (x, y)
y = mx + c
-3 = (1/2) x 0 + c
-3 = c
c = -3
Thus,
y = (1/2)x - 3 is the equation of the line.
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