Compound interest
Plz help!!!

Compound Interest Plz Help!!!

Answers

Answer 1

Answer:

a) [tex]A(t) = 17500(1.0053)^{12t}[/tex]

b) The balance after 8 years will be of $29,069.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

a)

Loan of $17,500 means that [tex]P = 17500[/tex]

6.4% interest rate means that [tex]r = 0.064[/tex]

Compounded monthly means that [tex]n = 12[/tex]. So

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

[tex]A(t) = 17500(1 + \frac{0.064}{12})^{12t}[/tex]

[tex]A(t) = 17500(1.0053)^{12t}[/tex]

b)

This is A(8). Then

[tex]A(8) = 17500(1.0053)^{12*8} = 29069[/tex]

The balance after 8 years will be of $29,069.


Related Questions

Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week. Part A Drag numbers to complete the table to show the number of miles each girl has walked after each week. Numbers may be used once, more than once, or not at all. 5638907848426658 Name Start Week 1 Week 2 Week 3 Week 4 Week 5 Trish 68 88 Aria 30 54 Part B After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks

Answers

Answer:

4 weeks

Step-by-step explanation:C. 5 weeks 90+48 138

88+40 138

Step-by-step explanation:

s

y= 2x + 7 y= -4x - 5 What is the solution for the system of equations?

Answers

Answer:

x = -2, y = 3.

as an ordered pair it is (-2, 3).

Step-by-step explanation:

y= 2x + 7

y= -4x - 5

As both right hand expression are = y we have:

2x + 7 = -4x - 5

6x = -12

x = -2

Substitute for x in equation 1:

y = 2(-2) + 7 = 3.

X=-2 and Y=3
Hope this helps:)

at what rate will £420 yield
£70 in 4 years​

Answers

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

Please answer :D pretty simple for math experts I’m just bad

Answers

Answer: 74 inches

Step-by-step explanation:

Since we are given the equation of the regression line for the son's height y to be:

y = 0.5x + 38

where,

x = father's height = 72 inches

Then, we put the value of x into the equation and this will be:

y = 0.5x + 38

y = 0.5(72) + 38

y = 36 + 38

y = 74 inches

Therefore, the son is 74 inches.

what is your when x = 60? ​

Answers

Answer:

300

Step-by-step explanation:

Find the y value when x = 60

Looking at the graph when x=60, y= 300

A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important?

A. 1,096,680
B. 91,390
C. 45,695
D. 2,193,360

Answers

Answer:

B. 91,390

Step-by-step explanation:

I've had this question before, I don't like'em, but that's the answer.

Answer:

option B

Step-by-step explanation:

[tex]40C_4 = \frac{40\times 39 \times 38 \times 37}{1 \times 2 \times 3 \times 4} = 91,390[/tex]

Solve the system of linear equations by elimination. Show your work

2x-y=-3
4x + 3y = -21

Answers

Answer:

x = -3, y = -3

Step-by-step explanation:

Solve the following system:

{-y + 2 x = -3 | (equation 1)

3 y + 4 x = -21 | (equation 2)

Swap equation 1 with equation 2:

{4 x + 3 y = -21 | (equation 1)

2 x - y = -3 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{4 x + 3 y = -21 | (equation 1)

0 x - (5 y)/2 = 15/2 | (equation 2)

Multiply equation 2 by 2/5:

{4 x + 3 y = -21 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{4 x + 3 y = -21 | (equation 1)

0 x+y = -3 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{4 x+0 y = -12 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -3 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer: x = -3, y = -3

pleaser help me i really need help please

Answers

Answer:

V ≈ 706.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here r = 5 and h = 9 , then

V = π × 5² × 9

   = π × 25 × 9

   = 225π

   ≈ 706.9 cm³ ( to the nearest tenth )

plz help me it is do at 10:45

Answers

Answer:2+6+2+1+3+2+1+1+3+0+4+2=27

27 divided by 12=2.25

What is the greatest common factor of the two terms


24x^6 and 18x^4


30x^3y^5 and 25x^2y

Answers

24x⁶ and 18x⁴ —> 6x⁴

30x³y⁵ and 25 x²y —> 5x²y

Every morning Ramona misses her bus with probability 1/10, independently of other mornings. What is the probability that next week she catches her bus on Monday, Tuesday, and Thursday, but misses her bus on Wednesday and Friday

Answers

Answer:

The probability is [tex]\frac{729}{100000}[/tex].

Step-by-step explanation:

probability of missing the bus = 1/10

Probability of catching the bus = 1 - 1/10 = 9 /10

So, the required probability is

[tex]\frac{9}{10}\times \frac {9}{10}\times \frac {1}{10}\times \frac {9}{10}\times \frac {1}{10}[/tex]

[tex]\frac{729}{100000}[/tex]

Mary is preparing for her college entrance exams. In a practice test, she answered 15 problems in 45 minutes. At this rate, how many problems is she expected to answer in 180 minutes?

(Proportional Reasoning)....

I really need an answer, and it would be great if you answer

Answers

Answer:

I'm guessing 60

Step-by-step explanation:

84% sure tho

Given f(x) = 2x – 6, find f( – 4).

Answers

Answer:

f(-4) = -14

Step-by-step explanation:

f(x) = 2x – 6

Let x = -4

f(-4) = 2*-4 -6

f(-4) = -8-6

f(-4) = -14

Answer:

The answer is -14

Step-by-step explanation:

f(-4) = 2(-4) - 6

= -8 - 6

= -14

II. Write whether each number is an EXPRESSION or an EQUATION.
11.
2 + 5
12.
2 + 5 = 7
Ć XLN13.
4x = 12
14.
X + 25
15.
16-6 = 10​

Answers

Answer:

11. Expression

12. Equation

13. Equation

14. Expression

15. Equation

Step-by-step explanation:

Expression:

Has no equal sign.

Equation:

Has equal sign.

11. 2 + 5

14. X + 25

Those which do not have the equal sign are expressions.

12. 2 + 5 = 7

13. 4x = 12

15. 16 - 6 = 10

Those with the equal sign are equations.

What combination of translation is shown below?

Answers

reflection, then translation

Can someone please help me on this work I really need help I will but you brainly

Answers

Answer:

-3 1/4 is the answer for this question

A rectangle has a perimeter of 14 cm and length x cm. show that the width of the rectangle is (7-x)cm and hence that the area A of the rectangle is given by the formula A= x(7-x). Draw the graph, plotting x on the horizontal axis with a scale of 2cm to 1 unit, and A on the vertical axis with a scale of 1cm to 1 unit
take x from 0 to 7. From the graph find:
a) the area of the rectangle when x = 2.25cm
b) the dimensions of the rectangle when its area is 9cm^2
c) the maximum area of the rectangle
d) the length and width of the rectangle corresponding to the maximum area
e) what shape of the rectangle has the largest area

Answers

Answer:

B

Step-by-step explanation:

the dimensions of the rectangle when its area is 9cm^2

Suppose that y varies inversely with x, and y= 3 when x = 10.
(a) Write an inverse variation equation that relates x and y.
Equation:
(b) Find y when x = 5
y =

Answers

Answer:

y=6

Step-by-step explanation:

the equation that relates x and y is y=30(1÷x)

What is the area of this composite figure
48.56cm2
49.12cm2
74.24cm2
36.56cm2

Answers

Answer:

D. 36.56 cm²

Step-by-step explanation:

The composite figure is composed of a rectangle and two semicircles.

The two semicircles makes 1 full circle.

Thus:

Area of the composite figure = area of rectangle + area of circle

= L*W + πr²

L = 6 cm

W = 4 cm

r = ½(4) = 2 cm

Area = 6*4 + π*2²

Area = 24 + 12.56

Area = 36.56 cm²

PLEASEEEEEE HELLPPPPP MEEEEE

Answers

Answer:

It's A

Step-by-step explanation:

The r coordinate of x is positive 4 which would be the frist number.

The r coordinate of y is positive 1 which would be the second number.

PLEASEEEE HELP MEEEEEEE

Answers

answer is b , (3,7)

Answer:

The answer is A.

Step-by-step explanation:

If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).

The question is in the picture (:

Answers

Answer:

[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]

That’s answer is correct

3X+2Y=5Y+2X-11 How do i show my work for this?

Answers

Answer:

3x + 2y = 5y + 2x -11

-3x                 -3x

2y = 5y -x -11

-5y   -5y

-3y = - x - 11 (divide by -3)

y = - x - 11/3

I need help asap. Math Writing Expressions.

Answers

Answer:

1:

6y-3+y

D =7y-3

2.

50C

3.

6÷K

4.

7-x

5.

8p-4p

6.

2g-3

7.

1-7/p

D.(p-7)/p

Find the circumference of a circle with a radius of 6 cm.



Hi besties i need. help ASAP please and. ty ​

Answers

Answer:

37.7

Step-by-step explanation:

Circumference = [tex]2\pi r[/tex]

Circumference = [tex](2)(\pi )(6)[/tex]

Circumference = 37.69911184 / 37.7

Therefore, circumference of the circle with the radius 6 cm is 37.7.

Answer:

37.7

Step-by-step explanation:

formula for circumference of a circle=2πr

2×π×6=37.7cm

A spinner with 12 equally sized slices is shown below. (The 12 slices are red.) The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a red slice?
Write your answer as a fraction or a whole number.

Answers

Answer:

100/100

Step-by-step explanation:

XD

Patel made a rectangular garden in his family's backyard. 24 ft What is the perimeter of the garden? A 336 feet B 76 feet C 48 feet D 38 f​

Answers

Answer:

336+76+48+38= 498

Step-by-step explanation:

add all those sides up because it is just the perimeter

Answer:

336+76+48+38= 498

Step-by-step explanation:

What is the y-intercept of this line?
y = 4x + 5
b = [?].
Enter
I am stumped on these!

Answers

The y-intercept of the line is +5

Y= mx + b

The b is a variable that indicates where the line will pass through on the y-axis

Which ordered pair belongs to the function shown by this mapping diagram?

Answers

Answer:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Step-by-step explanation:

Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:

We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.

The ordered pairs (x, y) are as follows:

{(7, 3), (8, 1), (9, 1), (10, 2)}

I need to know where to put the lines

Answers

Answer:

put them on the points

Step-by-step explanation:

The easiest way to say this is to draw the point with its correct quadrant
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