MATHEMATICS HIGH SCHOOL

Compute the amount of interest earned in the following simple interest problem. A deposit of $5,000 at 8.5% for 120 days = _____. $140.25
$1,402.50
$14,025
$51,000

Answers

Answer 1

Answer:

Answer:

Option (a) is correct.

The amount of interest earned in the given simple interest problem is $140.25

Step-by-step explanation:

Given : A deposit of $5,000 at 8.5% for 120 days.

We have to calculate the amount of interest earned in the given simple interest problem.

Using Simple interest formula,

$SI=(P * r* t)/(100)$

Where SI denotes simple interest

P denotes principal

R denotes rate of interest

t denotes time period.

Thus,

Given : P = $5,000

r= 8.5%

t = 120 days

1 year = 365 days.

So , 120 days = $(120)/(365)$ year.

Substitute, we get,

$SI=(P * r* t)/(100)$

$SI=(5000 * 8.5* 120)/(100* 365)$

On simplify, we get,

SI =$ 139.72

Thus, out of given options nearest value is $140.25 (approx)

Thus, the amount of interest earned in the given simple interest problem is $140.25

Answer 2

Answer: I = p * r * t
I = 5000 * .085 * (1/3)
I = 140.25

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Please help brainiest will give you!Find the slope of it!
A. -3
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Answers

The correct answer is B

Sequencing of rigid motions matters . true or false ?

Answers

Answer:

False.......................

Step-by-step explanation:

Please mark as brainlist answers

What is the surface area of the prism? A. 138 yd2 B. 192 yd2 C. 264 yd2 D. 272 yd2

Answers

In order to find the area of the triangular prism, we need to find the area of each of the figures that make it up. It might help if you draw the triangles and rectangles that make up the prism individually.

Let's start with the two triangles at either end of the prism.

A = 1/2bh Area of a triangle
A = 1/2(6)(8) Substitute
A = 24 Multiply / Divide

We now know that the area of the triangle at the end of the prism is 24 yd². However, since there are two of these triangles, we'll need to multiply that by 2. So, in total, the area of the two triangles is 48 yd².

There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism.

A = lw Area of a rectangle
A = (9)(10) Area of the slanted edge
A = 90 yd² Multiply

A = (9)(6) Area of the base
A = 54 yd² Multiply

A = (8)(9) Area of the vertical edge
A = 72 yd²

We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!

72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²

The answer is 264 yd², or answer choice C.

Say that Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually. If the Thai government wants to raise $70 billion in tax revenue, approximately where should it set the income tax rate?

Answers

First we have to multiply the number of working people by their average annual salary: 35,709,487 * $8630 = $308,172,872,810. Then we have to calculate which percent of that sum represents $70,000,000,000. r = ( 70,000,000,000 / 308,172,872,810 ) * 100 = 22.7%. Answer; The income tax rate should be approximately 22.7%.

Answer:

Step-by-step explanation:The answer is c which is 23%

A point is reflected over the y-axis, but the x-coordinate does not change. What is the location of the point?

Answers

the point is on the y- axis it will be a postive number if it is going up if it is going down it will be negative.

Solve the following system using a matrix.

7a - b = -1
-4a - 2b = -2

Answers

Answer:

a = 0, b = 1

Step-by-step explanation:

Given system equation is,

7a - b = -1

-4a - 2b = -2

Since, the matrix form of this system of equation is,

$\begin{bmatrix} 7& -1\n -4 & -2\end{bmatrix}\begin{bmatrix}a\nb\end{bmatrix}=\begin{bmatrix}-1\n -2\end{bmatrix}$

Let,

$A=\begin{bmatrix} 7& -1\n -4 & -2\end{bmatrix}$

$X=\begin{bmatrix}a\n b\end{bmatrix}$

$B=\begin{bmatrix}-1\n -2\end{bmatrix}$

$\because AX = B\implies X = A^(-1)B$

$adj(A) = \begin{bmatrix} -2& 1\n4& 7\end{bmatrix}$

Also,

|A| = -18

$\implies A^(-1)=-(1)/(18)\begin{bmatrix} -2& 1\n4& 7\end{bmatrix}$

$\implies X = -(1)/(18)\begin{bmatrix} -2& 1\n4& 7\end{bmatrix}.\begin{bmatrix}-1\n -2\end{bmatrix}$

$X=-(1)/(18)\begin{bmatrix}2-2\n -4-14\end{bmatrix}$

$X=-(1)/(18)\begin{bmatrix}0\n -18\end{bmatrix}$

$X=\begin{bmatrix}0\n 1\end{bmatrix}$

$\implies \begin{bmatrix}a\n b\end{bmatrix}=\begin{bmatrix}0\n 1\end{bmatrix}$

By comparing,

a = 0, b = 1

1. a=-1+b/7 is the right answer. First you had to add by b from both sides of equation, and it gave us, $7a-b+b=-1+b$ . And then simplify, and it gave us, $7a=-1+b$ . Divide by 7 from both sides of equation, and it gave us, $(7a)/(7)=-(1)/(7)+ (b)/(7)$ . Finally simplify, and it gave us the answer is a=-1+b/7 is the right answer.

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2. a=-b-1/2 is the right answer. First you had to add by 2b from both sides of equation, and it gave us, $-4a-2b+2b=-2+2b$ . And then simplify, and it gave us, $-4a=-2+2b$ . Next you can also divide by -4 from both sides of equation, and it gave us, $(-4a)/(-4)=-(2)/(-4)+(2b)/(-4)$ . Finally simplify, and it gave us the answer is a=-b-1/2 is the right answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie