Pending Review Question 7
Alex borrowed $3500 from two banks. One bank charged a simple interest of 8% and another bank
charged a simple interest of 12%. If he paid a total interest of $332 for one year, find the amount that he
borrowed from each bank.

Answers

Answer 1

Answer:

$ 2,200 for 8%, $ 1,300 for 12%

Step-by-step explanation:

I=PRT

Let Bank 1 be x

332= x (8%) + (3,500-x) 12%

332= x (0.08) + (3,500-x) 0.12   change the percent to decimal

332= 0.08x + 420 - 0.12x

0.04x= 420-332

x= [tex]\frac{88}{0.04}[/tex]

x= 2,200 (Bank 1)

Bank 2= 3,500-Bank 1

Bank 2= 3,500- 2,200

Bank 2= 1,300


Related Questions

Am I right? They want us to round to the nearest degree. I got 72 degrees. Answer ASAP

Answers

This looks good to me!

A square pyramid is shown. What is the surface area?

Answers

Answer:

The total surface area of a regular pyramidis the sum of the areas of its lateralfaces and its base. The general formula for thelateral surface area of a regular pyramidis where p represents the perimeter of thebase and SI the height of inclination.

Official unemployment rates for the U.S. population are reported on a monthly basis by the Bureau of Labor Statistics. For the period October, 2011, through January, 2012, the official unemployment rates were 8.9% (Oct.), 8.7% (Nov.), 8.5% (Dec.), and 8.3% (Jan.). (Source: U.S. Bureau of Labor Statistics, www.bls.gov.) If the unemployment rates were to continue to decrease following a linear model, (a) predict the unemployment rate on January, 2013. (b) predict when the United States would reach a zero unemployment rate.

Answers

Step-by-step explanation:

Clearly, there is a common difference between the monthly employment rates:

8.7% - 8.9% = -0.2%

8.5% - 8.7% = -0.2%

8.3% - 8.5% = -0.2%

a) So, for every month x, the percentage will go down 0.2%, starting at 8.9%. So, we can make this equation:

y = -0.2x + 9.1, where x = 1 would be October 2011.

January 2013 is 16 months after October 2011, so:

y = -0.2(16) + 9.1

y = 5.9%

b) To find when the unemployment rate will be zero, we set the equation equal to zero:

0 = -0.2x + 9.1

-0.2x = -9.1

x = 45.5 months

So, rounding up, the U.S. would reach a zero unemployment rate in 46 months or around September 2014? Not completely sure.

ou intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Draw a conclusion about the unknown population using what is known about the sample. Determine the probability at which you will conclude that the sample outcome is very unlikely. Draw a random sample, and calculate the sample statistic.

Answers

Answer:

Determine the null and alternative hypotheses :  STEP 1

Draw a conclusion about the unknown  population using what is known about the sample :  STEP 4

Determine the probability at which you will conclude that the sample outcome is very unlikely :  STEP 2

Draw a random sample and calculate the sample statistic : STEP 3

Step-by-step explanation:

The correct order of the steps are :

Determine the null and alternative hypotheses :  STEP 1

Draw a conclusion about the unknown  population using what is known about the sample :  STEP 4

Determine the probability at which you will conclude that the sample outcome is very unlikely :  STEP 2

Draw a random sample and calculate the sample statistic : STEP 3

Find x and Find m<MNO please help fast​

Answers

MNO is a right triangle so you would so 6x-3+3x+13=90
9x+10=90
X=8.8

5x+7=8.8
X=2.7 or MNO=2.7

Write an equation for a line parallel to y =
3x + 2 and passing through the point (2,-10)
y =

Answers

Answer:

i think its 4x

Step-by-step explanation:

hope it helps

Select all the correct answers.
In which pairs of matrices does AB = BA?

Answers

Answer:

its the second and third option

Step-by-step explanation:

I took the test

In order to multiply a matrix by another matrix, we multiply the rows in the first matrix by the columns in the other matrix (How this is done is shown below)

To determine the pairs of matrices that AB=BA, we will determine AB and BA for each of the options below.

For the first option

[tex]A= \left[\begin{array}{cc}1&0&-2&1&\end{array}\right]; B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]

[tex]AB= \left[\begin{array}{cc}(1\times5)+(0\times3)&(1\times0)+(0\times 2)&(-2\times5)+(1\times3)&(-2\times0)+(1\times2)&\end{array}\right]\\AB= \left[\begin{array}{cc}5+0&0+0&-10+3&0+2&\end{array}\right]\\AB = \left[\begin{array}{cc}5&0&-7&2&\end{array}\right] \\[/tex]

and

[tex]BA= \left[\begin{array}{cc}(5\times1)+(0\times-2)&(5\times0)+(0\times 1)&(3\times1)+(2\times-2)&(3\times0)+(1\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}5+0&0+0&3+-4&0+2&\end{array}\right]\\BA = \left[\begin{array}{cc}5&0&-1&2&\end{array}\right] \\[/tex]

∴ AB≠BA

For the second option

[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]; B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex]

[tex]AB= \left[\begin{array}{cc}(1\times3)+(0\times6)&(1\times0)+(0\times -3)&(-1\times3)+(2\times6)&(-1\times0)+(2\times-3)&\end{array}\right]\\AB= \left[\begin{array}{cc}3+0&0+0&-3+12&0+-6&\end{array}\right]\\AB = \left[\begin{array}{cc}3&0&9&-6&\end{array}\right] \\[/tex]

and

[tex]BA= \left[\begin{array}{cc}(3\times1)+(0\times-1)&(3\times0)+(0\times 2)&(6\times1)+(-3\times-1)&(6\times0)+(-3\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}3+0&0+0&6+3&0+-6&\end{array}\right]\\BA = \left[\begin{array}{cc}3&0&9&-6&\end{array}\right] \\[/tex]

Here AB = BA

For the third option

[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]; B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]

[tex]AB= \left[\begin{array}{cc}(1\times5)+(0\times3)&(1\times0)+(0\times 2)&(-1\times5)+(2\times3)&(-1\times0)+(2\times2)&\end{array}\right]\\AB= \left[\begin{array}{cc}5+0&0+0&-5+6&0+4&\end{array}\right]\\AB = \left[\begin{array}{cc}5&0&1&4&\end{array}\right] \\[/tex]

and

[tex]BA= \left[\begin{array}{cc}(5\times1)+(0\times-1)&(5\times0)+(0\times 2)&(3\times1)+(2\times-1)&(3\times0)+(2\times2)&\end{array}\right]\\BA= \left[\begin{array}{cc}5+0&0+0&3+-2&0+4&\end{array}\right]\\BA = \left[\begin{array}{cc}5&0&1&4&\end{array}\right] \\[/tex]

Here also, AB=BA

For the fourth option

[tex]A= \left[\begin{array}{cc}1&0&-2&1&\end{array}\right]; B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex]

[tex]AB= \left[\begin{array}{cc}(1\times3)+(0\times6)&(1\times0)+(0\times -3)&(-2\times3)+(1\times6)&(-2\times0)+(1\times-3)&\end{array}\right]\\AB= \left[\begin{array}{cc}3+0&0+0&-6+6&0+-3&\end{array}\right]\\AB = \left[\begin{array}{cc}3&0&0&-3&\end{array}\right] \\[/tex]

and

[tex]BA= \left[\begin{array}{cc}(3\times1)+(0\times-2)&(3\times0)+(0\times 1)&(6\times1)+(-3\times-2)&(6\times0)+(-3\times1)&\end{array}\right]\\BA= \left[\begin{array}{cc}3+0&0+0&6+6&0+-3&\end{array}\right]\\BA = \left[\begin{array}{cc}3&0&12&-3&\end{array}\right] \\[/tex]

Here, AB≠BA

Hence, it is only in the second and third options that AB = BA

[tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right] B= \left[\begin{array}{cc}3&0&6&-3&\end{array}\right] \\[/tex] and [tex]A= \left[\begin{array}{cc}1&0&-1&2&\end{array}\right]B= \left[\begin{array}{cc}5&0&3&2&\end{array}\right] \\[/tex]

Learn more on matrices multiplication here: https://brainly.com/question/12755004

how many inches is 2 1/6 ft​

Answers

Answer:

26 inches

Step-by-step explanation:

The answer is 26 inches

WHAT IS THE AREA OF THE SHADED REGION?

Answers

Answer:

240cm

Step-by-step explanation:

Compare: 2/3×(9+12)◯15×2/3

Answers

Answer:

[tex]\frac{2}{3}[/tex] (9 + 12) > 15 * [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] (9 + 12) = [tex]\frac{2}{3}[/tex] * 21 = 2 * 7 = 14

15 * [tex]\frac{2}{3}[/tex] = 5 * 2 = 10

14 > 10 ⇒ [tex]\frac{2}{3}[/tex] (9 + 12) > 15 * [tex]\frac{2}{3}[/tex]

Find the value of h(x) = -3x – 12 when x = -2? Show work

Answers

Answer:

-6

Step-by-step explanation:

h(x) = -3x – 12 becomes h(-2) =  -3(-2) – 12 = -6

3.Not Answered 4.Not Answered 5.Not Answered 6.Not Answered 7.Not Answered 8.Not Answered 9.Not Answered 10.Not Answered 11.Not Answered 12.Not Answered 13.Not Answered 14.Not Answered 15.Not Answered 16.Not Answered 17.Not Answered 18.Not Answered 19.Not Answered 20.Not Answered Question Workspace Check My Work In a linear regression model, the variable that is being predicted or explained is known as _____________. It is denoted by y and is often referred to as the response variable

Answers

Answer:

The answer to your question is Dependent Variable.

In a linear regression model, the variable that is being predicted or explained is known as Dependent Variable . It is denoted by y and is often referred to as the response variable

Step-by-step explanation:

I don't really know how to explain sorry.

Brainliest pls! :)

Answer:Dependent Variable

Math Problem 30 points please help

Answers

Answer: One solution

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

they intersect at 1 point

Sean had 3 building sets and 18 toy cars in his toy box. At his birthday party, he received 20 gifts. He got 3 train sets, 4 building sets and 9 toy cars. The rest of the gifts are comic books. 3/4 of the gifts are wrapped. 1/3 of the wrapped gifts are wrapped in blue wrapping paper and 1/ 5 of them are wrapped with ribbons. What fraction of the gifts are train sets? What fraction of the gifts are comic books? What fraction of his toy cars are new?

Answers

Answer:

1.3/20   2.4/20 or 1/5   3.9/27 or 1/3

Step-by-step explanation:

I hope this helped!

Casey has a litter of five puppies and four of them are gray at this rate how many puppies would be gray in a litter of 25 puppies?

Answers

Answer:

20

Step-by-step explanation:

PLEASE HELP ASAP!!!!!

which triangle makes this sentence true?


answers:

Answers

What sentence? Please make sureEee you know what your submitting before submitting

The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.

Answers

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

[tex]A_{circle} = \pi r^2[/tex]

[tex] \pi r^2 = 46 [/tex]

[tex] r^2 = \dfrac{46}{\pi} [/tex]

[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]

[tex] r = 3.83 ~in.[/tex]

surface area of sphere

[tex] SA = 4 \pi r^2 [/tex]

[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]

[tex] SA = 184~in.^2 [/tex]

What does a geometric sequence contain

Answers

The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.

Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'

Common ratio = 4/2 = 8/4 = 2

Hence a geometric sequence is characterized by its common ratio

helppppppppp!!! need work

Answers

Answer:

d. y = 3x + 5

Step-by-step explanation:

plug x = 2 in the equation y = 3x +5

y = 3*2 + 5

y = 11

so x = 2, y = 11

we know d is the correct statement

Answer:

your question and is d option

Pls solve and show the steps, I'll give brainliest to whoever replies first and accurately

Answers

3(x-1) = 2x - y

3x-3 = 2x-y

3x-2x+y = 3

x + y = 3 ----> (1)

2(x+y) = 3+3y

2x + 2y = 3 + 3y

2x + 2y - 3y = 3

2x - y = 3 -----> (2)

make equation (1) and (2) together

x + y + 2x - y = 3+3

3x = 6

x = 2

now make x = 2 in equation (1)

x + y = 3

2 + y = 3

y = 3-2

y = 1



(x,y) = (2,1)

find the slope of the line passing through the points (-3,2) and (-3,-7)​

Answers

Slope = change in Y / change in x

Slope = (-7 - 2) / (-3 - -3)

Slope = -9/0

Because the change in x = 0, the slope is undefined.

The answer is the slope is  undefined.

WILL GIVE BRAINLIEST

Answers

0,0 1,4 2,8 is the answer

This figure is made up of a rectangle and parallelogram. What is the area of this figure.

Answers

Answer:

area of the parallelogram=6

area of the rectangle=20

total area=26 square units

30 POINTS TO WHOEVER GETS IT. WILL MARK BRANLIEST. A lever is four meters long. A load of 1,200 newtons is placed one meter from the fulcrum. The force on the 3 meter arm
that will make it balance is
In order to lift the load above, a work input of 1500 Nm is applied. What is the efficiency of this lever?

Answers

Answer:  

Your efficiency is 80%. N is 400

Step-by-step explanation:

I hope I helped :)

Would appreciate Brainliest ;)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a lovely day and good luck with your school work!

I believe the answer is 400, 80%

have a blessed day!

The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.

Answers

Answer:

angles X = 45°

angles Y = 45°

angles Z = 90°

Step-by-step explanation:

Given:

angles X = angles Y = x°

angles Z = 2 angles Y = 2x°

Find:

Each angle

Computation:

Using angle sum property

angles X + angles Y + angles Z = 180

x + x + 2x = 180

4x = 180

x = 45°

So,

angles X = 45°

angles Y = 45°

angles Z = 90°

On the maturity date of a $6,600, 9-month, 12% note, the borrower sends a check that includes the principal and all of the interest due on the note. What is the amount of the borrower’s check?

Answers

Answer:

$7194

Step-by-step explanation:

Given the following

Principal = $6600

Time = 9months = 9/12 year

Rate R = 12%

Interest = PRT/100

Interest = 6600*9/12 * 12/100

Interest = 66*9

Interest = $594

Amount on the borrowers check  = principal + interest

Amount on the borrowers check = 6600 + 594

Amount on the borrowers check = $7194

56
47
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is 47 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is
square yards.
Hint: The formula for the area of a Circle is A = 12

Answers

Answer:

the estimated area of the fountain is 147.58 square yards and the estimated area of the path is 28.26 square yards

Step-by-step explanation:

#platolivesmatter

your welcome!!!

The area of the fountain is 147.58 square yards, and the area of the path is 28.25 square yards.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.

Given

a circular fountain,

radius of fountain  = √47 yards

area of  fountain = πr²

area = π(√47)²

area = 147.58 square yards.

and fountain surrounded by a circular path,

which form a concentric circle with fountain,

the radius of the circular path from center of the fountain = √56 yards

area of the path = total area with radius √56 - an area of fountain

area of the path = π(√56)² - 147.58

area of the path = 175.84 - 147.58

area of the path = 28.26 square yards

Hence the area of the fountain is 147.58 square yards,

area of path = 28.25 square yards.

Learn more about circles;

https://brainly.com/question/29142813

#SPJ2

Mr. Wellborn arrives at work at 8:40 AM. he leaves for work 50 minutes before he arrives. At what time does Mr Wellborn Leave for work?

Answers

Answer:

7:50

Step-by-step explanation:

Mr. Wellborn arrives 50 minutes before 8:40 so that means you subtracts 50 minutes from 8:40. 8:40-50=7:50

Therefore, the answer is 7:50

Hope this helps

Answer:

The answer is 7:50 A.M

Step-by-step explanation:

First we know that 50 is less than 40 so we subtract one hour. that get 50 so the answer is 7:50!

By the way, the person who answered this is a 3rd grader!  If the answer is worng am sorry i tried my best.

Jessica earned $14 by baby sitting 4 hours
What's Jessica rate and Jessica's Unit Rate?

Answers

Answer:

$3.50

Step-by-step explanation:

14 ÷ 4 = 3.5

good luck, i hope this helps :)

Misty is making a necklace with
beads that are 0.75 inch long.
The necklace will be 15.75 inches
long. How many beads will
Misty use?

Answers

Answer:

21 beads

Step-by-step explanation:

15.75 divided by 0.75 = 21

sorry im late hope this helps out :) <3

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