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zvonat [6]
3 years ago
11

If the present value of my investment is $8,000 and the rate of interest is 12% compounded annually, what will the value be afte

r 7 years?​
Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

$17,685.45

Step-by-step explanation:

We will use the compound interest formula to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

The first step is to change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Next, lets plug in the values:

A=8,000(1+\frac{0.12}{1})^{1(7)}

A=17,685.45

After 7 years, you will have $17,685.45

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Answer: Question 1

a)5.47

b)4.53

Step-by-step explanation:

5 0
3 years ago
An in ground rectangular pool has a concrete pathway surrounding the pool. if the pool is 16 feet by 32 feet and the entire area
Anastasy [175]
1. Let's call:
 
 x: the width of the walkway.
 b: 2x+16 (there is a widht "x" of the walkway on each side).
 h: 2x+32  (there is a widht "x" of the walkway on each side).
 A: 924 ft^2 ( the area of the pool of including the walkway).
 
 2. The area of a rectangle is:  
 
 A=(b)(h)
 
 b: the base of the rectangle (2x+16)
 a: the height of the rectangle (2x+32)

 3. Then, we have a quadratic equation:
 
 924=(2x+16)(2x+32)
 4x^2+64x+32x+512-924=0
 4x^2+96x-412=0
 
 4. We apply the quadratic formula to find the value of "x":
 
 x=(-b±√(b^2-4ac))/2a
 
 x=3.71
 
 The answer is: The width of the walkway is 3.71 ft

7 0
3 years ago
Convert y - 1 = 2(x - 4)
Dimas [21]
The answer is y=2x-7
6 0
3 years ago
Read 2 more answers
Solve for k <br> 8k + 2m = 3m + k
butalik [34]

Answer:

k= m/7

Step-by-step explanation:

7 0
3 years ago
What is the surface area of the prism?
Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

2(4*15 + 9*15 + 9*4)  - 24

462  - 24

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= 2(wl + hl + hw)  - 24

= 2(4*6 + 6*6 + 6*4)  - 24

= 168 - 24 = 144 ft^2

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

4 0
3 years ago
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