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

Answers

Answer 1

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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Related Questions

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.

Please solve for in this equation

Answers

Answer:

x = 4 rounded to the nearest whole number (actually 4.0801)

Step-by-step explanation:

The triangle formed by the sides of length 0.9x, 2.8x and 12 form a right triangle with the side of length 12 as they hypotenuse

By the Pythagorean theorem

c² = a² + b² where c = hypotenuse, a and b being the other two sides

Plugging in values we get

12² = (0.9x)² + (2.8x)²

144 = 0.81x² + 7.84x² = 8.65x²

Switching sides:

8.65x²= 144

x² = 144/8.65 = 16.6473

x = √16.6473= 4.0801

Rounded to the nearest integer, x = 4

HELPP WITH ALL 4 OF THESE ? PLEASE!! each is worth 10 points!!

Answers

Answer: 1.+900

2. -24

3. -5

4. +10

Step-by-step explanation:

Info on the graph with needing the slopes:
PLEASE HELP I REALLY AM STRUGGLING WITH THIS
I added photos of both graphs to be looked at
Using this formula, the tax on 9701 will be 970 + 0.12(9701 − 9700) = 970 + 0.12(1) = $. . This means that your tax only goes up 12 cents instead of almost $200. The graphs show these two scenarios. The correct scenario is shown on Graph 1. The incorrect scenario is shown on Graph 2.

What is the slope of the first piece of the tax function? (Graph 1)

I got y=1x+0 but I don't know if I am correct.

What is the slope of the second piece of the tax function? (Graph 2)

What do these slopes tell us??

Answers

The slope for the first piece of the tax function is given as follows:

0.1.

The slope for the second piece of the tax function is given as follows:

0.2.

It tells that for smaller salaries, the tax rate is of 10%, while for salaries on a second range, the tax rate is of 20%.

How to obtain the slope of a linear function?

The slope of a linear function represents the rate of change of the output variable relative to the input variable.

For the first piece, when x increases by 5000, the output increases by 500, hence the slope m is given as follows:

m = 500/5000

m = 0.1.

For the second piece, when x increases by 5000, the output increases by 1000, hence the slope m is given as follows:

m = 1000/5000

m = 0.2.

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After two weeks on a diet Raymond weighed 180 pounds, which was 90% of his original weight. What was Raymond’s original weight?

Answers

Answer:

Step-by-step explanation:

200 lb was his original weight

3 over 5 meters =. centimeters

Answers

Answer:

Step-by-step explanation:

3/5 = 0.6 meters = 60 cm

Apply
14. The table shows the record high temperature, in degrees
Fahrenheit (°F) or degrees Celsius (°C), of certain states. The
formula F = 1.8C + 32 can be used to convert between degrees
Celsius and degrees Fahrenheit. What is the difference, in
degrees Celsius, between Nevada's record high temperature
and Alaska's record high temperature? Round to the nearest
tenth.
State
Alaska
Florida
Nevada
Texas
Record High
Temperature
38°C
109°F
125°F
49°C

Answers

49°C - 38°C = 11°C
the difference between Nevada's record high temperature and Alaska's record high temperature is 11°C, rounded to the nearest tenth.

Mario has 5 gallons of paint. He uses 1/4 gallon to paint a door. He uses 3/8 gallon to paint a wall. How much paint does Mario have left?

Answers

After Mario paints, he has 4 3/8 gallons of paint left.

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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Find the perimeter of the figure.

Answers

Answer:

Step-by-step explanation:

Add all the sides and you get 30.

Hope this helps! Pls give brainliest!

Answer:

Step-by-step explanation:

6+9.5+6.5+4+4 = 30

3) Decide if each of the following statements are true or false. If true, give a mathematical explanation. If false, give a counterexample.

a) If a quadrilateral is a square, then it is a rectangle.

b) If a quadrilateral has a pair of parallel sides, then it must have a pair of opposite
sides that are congruent.

c) If the diagonals of a quadrilateral are perpendicular to each other, then the
quadrilateral is a rhombus.

d) If a quadrilateral has one right angle, then all of its angles must be right angles.

e) Write the converse of each of the statements in a)–d) above. Which is true?

f) Write the contrapositive of each of the statements in a)-d) above. Which is true?

Answers

The required statements are true or false, are below in the solution part.

What is a square?

A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.

a) True. If a quadrilateral is a square, then it has four equal sides and four right angles. By definition, a rectangle also has four right angles, so a square is also a rectangle.

b) False. A counterexample is a parallelogram, which has a pair of parallel sides but does not have a pair of opposite sides that are congruent.

c) False. A counterexample is a rectangle, which has perpendicular diagonals but is not a rhombus, which is defined as a quadrilateral with four equal sides.

d) False. A counterexample is an isosceles trapezoid, which has one right angle but not all angles are right angles.

e) Converse of a) - If a quadrilateral is a rectangle, then it is a square. This is false, as there are rectangles that are not squares.

The converse of b) - If a quadrilateral has a pair of opposite sides that are congruent, then it must have a pair of parallel sides. This is true.

The converse of c) - If a quadrilateral is a rhombus, then its diagonals are perpendicular to each other. This is true.

The converse of d) - If all angles of a quadrilateral are right angles, then it has one right angle. This is false, as a square has four right angles but only one of them can be considered "one right angle".

f) Contrapositive of a) - If a quadrilateral is not a square, then it is not a rectangle. This is true.

The contrapositive of b) - If a quadrilateral does not have a pair of parallel sides, then it does not have a pair of opposite sides that are congruent. This is true.

The contrapositive of c) - If a quadrilateral's diagonals are not perpendicular to each other, then it is not a rhombus. This is true.

The contrapositive of d) - If a quadrilateral does not have one right angle, then all of its angles must not be right angles. This is true.

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A medical study is conducted to determine which migraine treatment, A or B, provides faster relief. The study uses 10 volunteers who claim to suffer from migraines. Half of the volunteers are randomly assigned to use treatment A when they experience their first migraine. The other half are assigned to use treatment B. Then, after no treatment for one month, the treatments are reversed. The volunteers each record the amount of time it takes, in minutes, to experience relief from their migraine under each treatment. The data are displayed in the table. A 3-column table with 10 rows. Column 1 is labeled volunteer with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Column 2 is labeled Treatment A with entries 10, 13, 13, 9, 13, 12, 14, 10, 8, 7. Column 3 is labeled Treatment B with entries 19, 18, 19, 15, 20, 16, 16, 16, 13, 17. What is the mean difference (A – B) and the standard deviation of the differences?

Answers

I think that it could be b but I'm not 100 percent sure

A manufacturer can produce printer paper at a cost of $2 per ream. The paper has been
selling for $5 per ream, and at that price, consumers have been buying 4,000 reams a month.
The manufacturer is planning to raise the price of the paper and estimates that for each $1
increase in the price, 400 fewer reams will be sold each month. Express the manufacturer’s
monthly profit as a function of the price at which the reams are sold.

Answers

Answer:

Let x be the price per ream in dollars. Then, the manufacturer's profit per ream sold is (x - $2).

The manufacturer estimates that for each $1 increase in the price, 400 fewer reams will be sold each month. Thus, the number of reams sold can be expressed as 4000 - 400(x - $5) reams per month.

The manufacturer's total monthly profit is given by the product of the number of reams sold and the profit per ream, so it can be expressed as:

P(x) = (4000 - 400(x - $5)) * (x - $2)

So the monthly profit as a function of the price per ream is:

P(x) = 4000x - 8000 - 400x^2 + 2000x + 8000

This is a quadratic equation and its maximum value can be found using techniques from algebra or calculus.

Step-by-step explanation:

ABOVE

Let x be the price per ream in dollars. Then the manufacturer's monthly revenue is given by x times the number of reams sold, which is given by 4000 - 400(x - 5).
The monthly cost is $2 per ream times the number of reams produced, which is given by 4000.
Therefore, the manufacturer's monthly profit as a function of the price x is given by:

Profit = x * (4000 - 400(x - 5)) - 2 * 4000 = 4000x - 400x^2 + 8000 - 8000 = -400x^2 + 4800x - 8000

So the profit is a quadratic function of the price x, with a maximum value at the price that maximizes the profit

Explain how you can use a table or graph to find the y-intercept.

Answers

The y-intercept is calculated using a table or a graph by substituting x = 0.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The y-intercept value is calculated when the x-coordinate is zero.

Now,

Example:

(0, 3), (0. 5), (0, 7) are all y-intercepts of the graph.

Thus,

The y-intercept is calculated when x = 0.

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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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If f(x) = x² + 3x - 5, find the value of f(3).

Answers

Hey there!

[tex]\huge\textbf{Assuming:}[/tex]

[tex]\mathsf{f(x) = x^2 + 3x - 5}[/tex]

[tex]\mathsf{f(x) = 3^2 + 3(3) - 5}[/tex]

[tex]\mathsf{f(x) = 3 \times 3 + 9 - 5}[/tex]

[tex]\mathsf{f(x) = 9 + 9 - 5}[/tex]

[tex]\mathsf{f(x) = 18 - 5}[/tex]

[tex]\mathsf{f(x) = 13}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\mathsf{f(x) = 13}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What is the range of the function shown on the graph above?

Answers

From the graph the range of the function is obtained as option 1: -5 ≤ y ≤ 8.

What is the range of data?

The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.

From the graph, the following observations are made -

The endpoints of the graph have closed circles this means that, the endpoints are inclusive of the range.

For closed circles the inequality symbols used is (≤,≥).

The y-axis values suggests the range of the function.

The minimum y-axis value in the fourth quadrant is -5.

The maximum y-axis value in the first quadrant is 8.

The range of the function is [-5 , 8]

Therefore, the range is found to be -5 ≤ y ≤ 8.

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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

Q9 PLEASE HELP ASAP I ONLY HAVE 5 MIN

Answers

Answer: y=5x+2

Step-by-step explanation: I answered this question already, I believe.

The solution is in the attachment!!

Laura is the fund raising manager for a local charity she is ordering caps for an upcoming charity walk. The company that makes the caps chargers $6 per cap plus a $25 shipping fee . Laura had buaght of $1000 WhT is the greatest number of caps she can buy?

Answers

the maximum number of caps she can order is 162.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, Laura is the fundraising manager for a local charity she is ordering caps for an upcoming charity walk.

Let "x" be the number of caps she ordered.

Since, manufacturing cost for a cap = $6

shipping charges for the lot = $25

Thus,

Total price she paid for x caps = 6*x + 25

Since she had only 1000$

So,

6x + 25 ≤ 1000

6x ≤ 975

x ≤ 975/6

x ≤ 162.5

therefore, the maximum number of caps she can order is 162.

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When you arrive at the family reunion, Uncle Ignacio has already eaten 9 mini hot dogs. He continues to eat them at a rate of 4 hot dogs per minute. y = 4x + 9 models this situation. Make a graph of this situation.

Answers

Answer:

Step-by-step explanation:

y=mx + b where b= y intercept(when x=0) and m= slope(rise/run)

so there is a slope of 4 and a y intercept of 9

so starting from 9, you go up 4, and to the right 1. and that just repeats till you're satisfied.

Given a2 = 6 and a5 = –384 of a geometric sequence, what is the recursive equation for the nth term?

an = –4(an – 1), a1 = –1.5
an = –4(an – 1), a1 = 1.5
an = 4(an – 1), a1 = –1.5
an = 4(an – 1), a1 = 1.5

Answers

Answer:

[tex]a_n = (-4)^{n - 1}; a_1 = -1.5[/tex]

Step-by-step explanation:

[tex] a_1 = a_1 [/tex]

[tex] a_2 = a_1 \times r [/tex]

[tex] a_3 = a_1 \times r^2 [/tex]

[tex] a_4 = a_1 \times r^3 [/tex]

[tex] a_5 = a_1 \times r^4 [/tex]

[tex] a_1 \times r = 6 [/tex]

[tex] a_1 \times r^4 = -384 [/tex]