Faye borrowed $9600 at 8% per anum compound interest.
(a) Calculate the interest on the loan for the first year.
At the end of the last year,she repaid $4368.
(b) How much did she still owe at the beginning of the year?
(c)Calculate the interest on the remaining balance for the second year.​

Answers

Answer 1

Answer:

(a) $768

Step-by-step explanation:

Faye borrowed $9600 at 8% interest compounded per annum.

Solution for question (a):

Amount accumulated is given by;

A = P(1 + [tex]\frac{r}{n}[/tex][tex])^{nt}[/tex]

Where A is the amount, P is the pricipal, r is the rate, n is the number of times in a year, and t is the number of years.

So the amount after one year was;

A = 9600(1 + [tex]\frac{8}{1 * 100}[/tex][tex])^{1 * 1}[/tex] = 9600 × 1.08 = 10368

Interest = Amount - Principal = $10368 - $9600 = $768

Answer 2

a.  The interest on the loan for the first year is $768.

b. The amount she still owe at the beginning of the year is $6,000.

c. The interest on the remaining balance for the second year is $480.

a. Interest on loan:

Interest on loan=$9600 × 8%

Interest on loan=$768

b. Amount owed

Amount owed=$9,600+$768-$4368

Amount owed=$6,000

c. Interest on remaining balance :

Interest on remaining balance=$6,000×8%

Interest on remaining balance=$480

Inconclusion the interest is $768, amount owe is $6,000 and Interest on remaining balance is $480.

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Related Questions

Express the following relationship as a rate.
Reading 30 pages in 10 minutes
O 30 pages per hour
O 30 pages per minute
O3 pages per minute
O 10 pages per minute

Answers

Answer: 3 pages per minute

Explanation: Thirty pages divided by 10 minutes gives you 3 pages per minute.
3 pages per min because of there being 30 pages and only 10 mins

1st min you should read pages 1,23

2nd min 4,5,6

so on and so on.

help meh pls 【=◈︿◈=】 What division problem does this area model represent?


Enter your answer in the boxes.

÷ 75 = R

Answers

From the information, the correct value that expresses the division will be 300 ÷ 75 = R

How to calculate the division?

From the information given, the thing to do is simply to use the number in the box to divide the number beside it and get the information.

This will be:

= 3000 ÷ 75 = 40

= 300 ÷ 75 = 4

Therefore, the expression is 300 ÷ 75 = R.

Learn more about division on:

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If b=79° and c=83°
Work out angle a and d.

(15points)

Answers

Answer:

????????????????????

Answer:

A = 101 degrees         d = 97 degrees

Step-by-step explanation:

180 - 79 = 101    as angles in a straight line = 180

101 + 79 + 83 = 263

360 - 263 = 97 degrees

which number line model of the sum of 8 + -12 correctly ​

Answers

Answer:

U did not add a picture but if u do I will help.

Step-by-step explanation:

It should be 8 to the right and 12 to the left which should end at -4

Answer:

The answer is 4?? tell me if it's wrong or not.

Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up?

Answers

Answer:

the price per gallon for each drink is $4.5 and $4.75 respectively

Step-by-step explanation:

The computation of the price per gallon for each drink is as follows;

Let us assume the ice tea be x

And, lemonade be y

So the equations are

2x +  3y = $23.25 .......(i)

5x + 4y = $41.50     ................(ii)

Now multiplied by 5 and 2 in equation 1 and 2

10x + 15y = $116.25

10x + 8y = $83

7y = 33.25

y = $4.75

Now put the y value in any of the equation

2x + 3($4.75) = $23.25

x = $4.5

So, the price per gallon for each drink is $4.5 and $4.75 respectively

Write an equation and solve. Round to the nearest hundredth where necessary.

What is 25% of 96?


A.) n • 0.25 = 96; 384

B.) n = 0.25 • 96; 24

C.) n = 25 • 0.96; 24

D.) n = 25 • 96; 2400

Answers

Answer:

see explanation

Step-by-step explanation:

I think its c n=25. 0.96; 24

I really need help for this geometry question, I would appreciate any help thank you.

Answers

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

hypotenuse = 4.24



Last year, there were k ples baked for the bake sale. This year, there were 216pies baked. Using k, write an expression for the total number of pies baked in
the two years.

Answers

Answer:

216 + k = total pies

Step-by-step explanation:

216 pies this year + k pies last year = total pies

write an equivalent expression for 8x + 9

Answers

Answer:

8+8+8+8+8+8+8+8+8.

Step-by-step explanation:

Just add 8 nine times.

Answer:

9 + 8x

Step-by-step explanation:

it's the same but backwards

it's called a Palindrome

Hope this helped a little!

What is the equation of the line that passes through the point (-2, 1) and has a
slope of 3/2?

Answers

Answer:

y=3/2+4

Step-by-step explanation:

10x^2 y –5xy^2–2x^2 y +x^2y –3xy^2

Answers

Answer:

[tex]9x^{2}y - 8xy^{2}[/tex]

Step-by-step explanation:

[tex]10x^{2}y - 5xy^{2} - 2x^{2}y + x^{2}y - 3xy^{2} =[/tex] --> Equation

[tex](10x^{2}y - 2x^{2}y + x^{2}y) + (- 5xy^{2} - 3xy^{2}) =[/tex] --> Combine Like Terms

[tex]9x^{2}y - 8xy^{2}[/tex] --> Simplify

Hope this helped! <3

URGENT

question is in the photo :)

Answers

1. b¹²

2. 2x⁴

3. 3x³

4. 6x¹¹

5. 10x⁹

please help meeee im doing an iready lol

Answers

Answer:

the answer is 252

Step-by-step explanation:

7 x 8 x 9

-------------

     2

What are the coordinates of B' after the translation? (1, 6) (–3, 6) (0, 0) (3, 1)
will mark brainlyest

Answers

The answer is (3,1) thanks for the points bud

Answer:

B (-3, 6)

Step-by-step explanation: I did it on edge 2021

8. The direction of current in the Fleming's left hand rule is given by
A: thumb
B: middle finger
C: index finger
D: little finger

Answers

Answer:

B: middle finger

Step-by-step explanation:

Fleming's Left Hand Rule  states "that when you hold out your left hand with the forefinger, second finger and thumb mutuallly at the right angle to one another. If the forefinger represents the direction of the field and the second finger represents that of the current, then thumb gives the direction of the force"

The answer is B. middle finger

Solving Multi-Step Equations Maze
Drag the appropriate arrow to
show your path as you go
from the start to the finisch
DOWN START ve cochojuan for Xbo v pollo heard
START
(2x + 1) - 36
5(x ) - 100
2.75
Jul
10
Jul
3(2x + 4) 19
182x-X-7
18-15-3(6x + 5)
15
Til hay
II
58 7x25 - 4
X-9.6x22.5
15
-6,3
THE
END

Answers

Hmmm ik it’s called the hot dog method

Mary earned 24 points on her science test. The total points on the test was 30 points. What is Mary’s test score as a percent? Show work

Answers

Answer:

80%

Step-by-step explanation:

24 devided by 30 = 0.8

0.8 times 100 = 80%

Answer:

80%

Step-by-step explanation:

take the number you got  and divide it by how many it was out of and then move the decimal two points to the right. 24/30= 0.8     then move the decimal and get 80 and add the percent sign.

I don’t get 9.) so if anyone can’t skip it I need help with 10.) too

Answers

Answer:

ok number 9.) i believe its 7 if im wrong im so sorry

Step-by-step explanation:

Answer:

I will help with 10 i don't get 9 sorry so the answer is (a) F(5,4)

Step-by-step explanation:

So you have the midpoint and you put f(x, y) and D(-3,-8)

So

E=(x-3/2, y-8/2) =(1,-2) so

X-3/2 =1 , x-3=2 so x = 5

And y-8/2 = - 2. , so y-8 = - 4. , so y =4

So F =(5, 4)

Can someone help me please

Answers

Answer:

I think the answer is B

I had that but got two out of order so that’s the best option for me

Answer:

D.

2/3 in percentage form is 66.6666667%

0.23=23%

25%

5/8=62.5%

60%

then you would have to put them in order.

Hope this helps!!

help
help
help
help
help
help
help

Answers

Answer:

it's answer c and why so many helps

what is the y-intercept for f(x)=x2-8x+15

Answers

Answer:

(0, 15)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function NotationThe y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

Step 1: Define

f(x) = x² - 8x + 15

Step 2: Find y-intercept

Substitute x = 0:                    f(0) = 0² - 8(0) + 15Exponents:                             f(0) = 0 - 8(0) + 15Multiply:                                 f(0) = 0 + 15Add:                                       f(0) = 15Rewrite:                                 (0, 15)

Can somebody help me with these 3. Will mark brainliest.

Answers

Not 100% but 1) 3 2) true 3) false

NEED HELP ASAP!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!

A.) 20.6 units
B.) 4 units
C.) 19.4 units
D.) 5 units

Answers

4 units is the answer

I need number 7 and 9 please show work if you can​

Answers

Answer:. sum of interior angles:

Heptagon: 900°

14gon 2160°

Step-by-step explanation: Divide 360 by the number of sides to get the measure of the average or regular central angle (same as an exterior angle)

360/7 = 51.43 360/14 = 25.7.

Subtract from 180 to find the interior angle.

180 - 51.43 = 128.57

180 - 25.7 = 154.3

Multiply the measure of the interior angle by the number of sides to find the sum of the interior angles.

128.57× 7 = 900

154.3 × 14 = 2160

If a beetle crawls at a constant rate of 3 feet per minute, how long, in minutes, will it take the beetle to travel 75 feet?
A. 25 min.
B. 72 min.
C.78 min.
D. 225 min.

Answers

A. 25 min,

3/1=75/x
x=25

Answer:

A. 25 minutes

Step-by-step explanation:

3ft/min = 75ft/?min

75ft ÷ 3ft = 25min

it will take the beetle 25 minutes to travel 75 feet.

h(x) = -5(x-1)^2(X+2)

what is the degree, leading coefficient, and y-intercept? ​

Answers

Answer:

-10 leading coe and (0, 20) y intercept i think

If two out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' licenses in a high school with 615 students?

Answers

Answer: 123 students

Step-by-step explanation:

2/10 is 20% so you'd take 615 x 0.20 which is 123.

A. I and II ONLY
B. II and III ONLY
C. I and III ONLY
D. I , II and III

Answers

The statement supported the graph is

The axis of symmetry is x = 3

The coordinates of the y-intercept are (0,7)

What is axis of symmetry?

A line that divides an object into two equal halves and produces a mirror-like reflection of each side of the object is known as an axis of symmetry.

1. The axis of symmetry is x = 3

The axis of symmetry is the central axis of the graph, which signifies the middle point of the graph. It is evident that this graph is centered on x = 3.

2. The coordinates of the y-intercept are (0,7)

The y intercept is the point where the graph meets the y-axis, that is, the value of y on the graph when x=0.

From the graph, the coordinates of the y-intercept is (0, 7)

3. The X-intercept is located at (-3,0)

The x intercept is the point where the graph meets the x-axis, that is, the value of x on the graph when y=0.

From the graph the curve x axis at x= 1.5 and x= 4.5

So, the x-intercept is truly located at (1.5, 0) and (4.5,0)

Learn more about axis of symmetry here:

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A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recovered

Answers

Answer:

I think it would be 5/7

Explanation:

The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7

Hope this helps :)

Answer:

5 Ducks

Step-by-step explanation:

It is given that there were 7 ducks and 7 of those were shot in total. 7/7

It is also given that the dog retrieved 5/7 of them.

So, 7/7-5/7=2/7

2 ducks were not recovered, and 5 were

Hope I helped

Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.

If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?

A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.

Answers

Answer:

Aiden should expect a multiple of 2 to be rolled 150 times.

Step-by-step explanation:

300 can be divided evenly 2 times.

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