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user100 [1]
3 years ago
5

kevin built a deck in his backyard. The length of the deck was 5x+1 units and the width of the deck was 4x-1 units. Write and si

mplify an expression to repersent the perimeter of kevins deck.
Mathematics
1 answer:
amm18123 years ago
7 0

Answer:

Perimeter =

2(length + width)  \\ 2(5x + 1 + 4x - 1) \\ 2(5x + 4x + 1 - 1) \\ 2(9x ) \\ 9 \times 2 \\  = 18

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An individual saves $5000 in a bank account at the beginning of each year for 10 years.
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Answer:

a) Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually is $5849.5

Step-by-step explanation:

Principal Amount P = 5000

Time t = 10 years

Annual interest i = 8% = 0.08

We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

Using Formula: A=P(1+\frac{r}{n})^{nt}

Putting values:

A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

Using Formula: A=P(1+\frac{r}{n})^{nt}

Putting values:

A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5

So, Amount saved if the interest is compounded semi-annually is $5849.5

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