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dlinn [17]
3 years ago
12

A total of $12,000 is invested at an annual interest rate of 9%. Find the balance

Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided 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 />

First lets change 9% into a decimal:

9% -> \frac{9}{100} -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=12,000(1+\frac{0.09}{4})^{4(5)}

A=18,726.11

<u>The balance after 5 years is $18,726.11</u>

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What additional information would allow you to prove the quadrilateral is a parallelogram?
slavikrds [6]

The additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

<h3>How to prove a Parallelogram?</h3>

The six basic properties of parallelograms are primarily;

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Now, looking at the parallelogram properties above and comparing with the given image of the quadrilateral attached, we can say that the additional information that would allow us to prove that the image is a parallelogram is that; Line EJ ≅ Line GJ

Read more about Parallelogram Proof at; brainly.com/question/24056495

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What is the vertex of the graph of the function below? <br><br>y = x2 + 8x + 12
Vera_Pavlovna [14]
Hello, 

The\,\,formula\,\,for\,\,the\,\,vertex\,\,of\,\,a\,\,quadratic\,\,equation\,\,is:  \\  V=( -\frac{b}{2a},f(-\frac{b}{2a}) )

That means that we must first obtain x, then we replace x in the function to get y, so:

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3 years ago
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