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____ [38]
4 years ago
10

A principal of $3500 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 13 years? Us

e the calculator provided and round your answer to the nearest dollar.
Mathematics
1 answer:
Anna71 [15]4 years ago
7 0
The equation is for when you compound annually is
A=P(1+r)^t

A=future amount
P=initial amount or principal
r=interest rate in decimal form
t=time in years



so
A=A
P=3500
r=7.5%=0.075
t=13

A=3500(1+0.075)^{13}
A=3500(1.075)^{13}
use your calculator
A=8961.4457
round to nearest dollar
A=$8961

that's how much the investment will be worth after 13 years
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when Kaitlin divided a fraction by one half the result was a mixed number was the original fraction less than or greater than 1/
kramer
Greater!! ,because is a mix number...
5 0
3 years ago
Solve for x in the equation shown below
baherus [9]

Answer:

x = 14

Step-by-step explanation:

Step 1: First, Simplify the fraction.

\frac{4x}{7} =8

Step 2: Next, Multiply both sides by 7.

4x = 8 × 7

Step 3: Simplify 8 × 7 to 56.

4x = 56

Step 4: Then, Divide both sides by 4.

x=\frac{56}{7}

Step 5: Lastly, Simplify the fraction and you're done!

x = 14

3 0
4 years ago
For which function is f(x) equal to f^1(x) ( answer choices in picture )
Sonja [21]

Answer:

C. f(x)=\frac{x+1}{x-1}

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+6}{y-6}

Rewrite in terms of 'y'. This gives,

x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}

The given function y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}

So, option A is incorrect.

Option B:

f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+2}{y-2}

Rewrite in terms of 'y'. This gives,

x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}

The given function y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}

So, option B is incorrect.

Option C:

f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+1}{y-1}

Rewrite in terms of 'y'. This gives,

x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}

The given function y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}

So, option C is correct.

Option D:

f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}

To find f^{-1}(x), replace 'x' with 'y' and 'y' with 'x'. This gives,

x=\frac{y+5}{y-5}

Rewrite in terms of 'y'. This gives,

x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}

The given function y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}

So, option D is incorrect.

Therefore, only option C is correct.

7 0
3 years ago
32% of 1600 = 512
yaroslaw [1]

Answer:

  • 64%: 1024
  • 96%: 1536
  • 132%: 2112
  • 232%: 3712

Step-by-step explanation:

<u>64% of 1600</u>

  64% of 1600 = 2 × (32% of 1600) = 2×512

  64% of 1600 = 1024

<u>96% of 1600</u>

  96% of 1600 = 3 × (32% of 1600) = 3×512

  96% of 1600 = 1536

<u>132% of 1600</u>

  132% of 1600 = (100% of 1600) + (32% of 1600) = 1600 + 512

  132% of 1600 = 2112

<u>232% of 1600</u>

  232% of 1600 = (100% of 1600) + (132% of 1600) = 1600 +2112

  232% of 1600 = 3712

3 0
3 years ago
Read 2 more answers
Find the slope please
zavuch27 [327]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of this graph; we are provided with two points:

\star~\mathrm{(6,0)}

\star~\mathrm{(0,-5)}

\triangle~\fbox{\bf{KEY:}}

  • What we need in order to find the slope are two points and the slope formula.

Here's the formula:

\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}

Where

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the values:

\star~\mathrm{\cfrac{-5-0}{0-6}}}

Simplify!

\star~\mathrm{\cfrac{-5}{-6}}}

Simplify more!

\star~\mathrm{\cfrac{5}{6}}

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

4 0
2 years ago
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