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ahrayia [7]
3 years ago
13

How much would 500$ invested at 9% interest compounded annually be worth after 4 years?

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

$705.79

Step-by-step explanation:

(see attached for reference)

the formula for compound interest is

A = P [1 + (r/n) ]^(nt)

Where:

P = Principal Amount = $500

r = annual interest rate = 9% = 0.09

t = 4 years

n = 1 (compounded annually)

A = 500 [1 + (0.09/1) ]^(1 x 4)

A = 500 [1 + 0.09 ]^(4)

A = 500 [1.09 ]^(4)

A = $705.79

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If f(x)=3^2+10x and g(x)=5x-1 find (f-g) (x)
slamgirl [31]

Answer:

5x+8

Step-by-step explanation:

In the picture.

I hope that it's a clear solution.

7 0
3 years ago
Factor 18x^(2)+39x-15
k0ka [10]

Answer:

3(2x + 5)(3x - 1)

Step-by-step explanation:

Hello!

We can first factor out the greatest common factor between the coefficients: 3.

  • f(x) = 18x^2 + 39x - 15
  • f(x) = 3(6x^2 + 13x - 5)

Now, let's work with what we have inside the brackets.

Standard form of a quadratic: ax^2 + bx+ c = 0

Given our equation: 6x^2 + 13x - 5

  • a = 6
  • b = 13
  • c = -5

We need to find two numbers that add up to b (13) and multiply to ac (-30).

The two numbers are 15 and -2. Expand 13x to 15x and -2x and factor by grouping.

<h3>Factor by Grouping</h3>
  • 6x^2 + 13x - 5
  • 6x^2  -2x + 15x - 5
  • 2x(3x- 1) +5(3x - 1)
  • (2x +5)(3x - 1)

Now, we simply add the other factor, 3, to the final factored form.

Factored Solution: 3(2x + 5)(3x - 1)

8 0
2 years ago
Enter the correct answer in the box.
77julia77 [94]

The equation of function g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The function is given as:

f(x) = 2x² - 1

When the function is translated with 7 units left, the transformation rule is:

(x,y) -> (x + 7, y)

So,

g(x) = 2(x -7)² - 1

A quadratic function is expressed as:

g(x) = a(x -h)² + k

By comparison, the values of h and k are 7 and -1, respectively.

Learn more about quadratic equations;

brainly.com/question/13197897

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6 0
2 years ago
Write the equation of the line that passes through (-3,5) and (2, 10) in slope-intercept form.
cupoosta [38]

Answer:

y=x+8

Step-by-step explanation:

Slope of straight line can be calculated as

m=\frac{y_2-y_1}{x_2-x_1}

Here (x_1, y_1)=(-3, 5) \ and \ (x_2, y_2) = (2, 10)

m =\frac{10-5}{2-(-3)}\\m=1

Equation of straight line in slope intercept form is

y-y_1=m(x-x_1)\\y-5=(x+3)

y=x+8

7 0
3 years ago
A vending machine sells chips at $0.65 and candy at $0.75. Last month, the vending machine yielded $243.80 with the sale of 350
Umnica [9.8K]
X+Y=350
.65X+.75Y=243.80
8 0
3 years ago
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