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4 years ago

3.) You deposited $5,000 in an account that pays 4% annual interest. Find the

Mathematics

1 answer:

Maurinko [17]4 years ago

6 0

The balance after one year is $5200

Step-by-step explanation:

The formula to apply here is

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

where

A=Amount of money at the end of the period=?

P=the amount of money invested= $5000

r=rate of interest=4%=0.04

n=number of compounding per year=1

t=time in years=1

Applying the formula

$A=P(1+\frac{r}{n} )^{nt} \\\\\\A=5000(1+\frac{0.04}{1} )^{1} \\\\\\A=5000(1.04)\\\\A=5200$

A=$5200

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Compound Interest: brainly.com/question/12148233

Keywords : interest, compounded annually

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2 years ago

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3 years ago

A,B and C are the vertices of one triangle.

dsp73

Answer:

Step-by-step explanation:

Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.

To prove: DE is parallel to BC.

Construction: Join DE.

Proof: If we prove the basic proportionality theorem that is $\frac{AD}{DB}=\frac{AE}{EC}$ , then it proves that DE is parallel to BC.

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Now, AD= $\sqrt{(4-3)^{2}+(6-2)^{2}}=\sqrt{17}$

DB= $\sqrt{(3-2)^{2}+(2+2)^{2}}=\sqrt{17}$

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EC= $\sqrt{(1+2)^{2}+(1+4)^{2}}=\sqrt{34}$

Now, $\frac{AD}{DB}=\frac{AE}{EC}$

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3 years ago

Read 2 more answers