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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:

4:18 and 8:27

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3 years ago
Answer question 4. Please show work.
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3 years ago
Can you help me with this please?
spayn [35]

The half-life of the given exponential function is of 346.57 years.

<h3>What is the half-life of an exponential function?</h3>

It is the value of t when A(t) = 0.5A(0).

In this problem, the equation is:

A(t) = A(0)e^{-0.002t}.

In which t is measured in years.

Hence the half-life is found as follows:

0.5A(0) = A(0)e^{-0.002t}

e^{-0.002t} = 0.5

\ln{e^{-0.002t}} = \ln{0.5}

0.002t = -\ln{0.5}

t = -\frac{\ln{0.5}}{0.002}

t = 346.57 years.

More can be learned about exponential functions at brainly.com/question/25537936

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7 0
2 years ago
In math the words transformation means to blank, blank, blank, or blank a figure
alukav5142 [94]

Answers:

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This can be stated in any order

============================================

Explanation:

In geometry, a translation is where you slide a point or figure some distance left, right, up or down.

A reflection will mirror a point over a line, or you could mirror a point over another point.

A rotation turns a point around a fixed center point.

A dilation scales the figure to be larger or smaller.

The first three transformations mentioned (translation, reflection, rotation) are known as rigid transformations. They keep the figure the same size and shape. A dilation will keep the same shape, but the size will be different, so the before and after figures are not congruent when you apply a dilation.

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If you look at some of her videos, you can see that she runs about a 50 second 400 meter dash.

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