Maria's mistake was that she wanted to move the decimal point 2 places to the left, when she should have moved it 1 place, since that is the number of zeros that the number 10 has.

To find the length of the rectangle, we simply divide the area by the width

a = area = 76.5 m

w = width = 10m

l = length

l = a/w

l = 76.5m² / 10m

l = 7.65m

The length of the other side is 7.65m

3 0

3 years ago

Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it

Ainat [17]

Answer-

$23377 must be deposited to get $68000 at the end of 30 years.

Solution-

We know that for compound interest,

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

Where,

A = Future amount = $68,000

P = ??

r = 3.575% annual = 0.03575

n = 4 as interest is compounded quarterly

t = time in year = 30 years

Putting the values,

$\Rightarrow 68000=P(1+\dfrac{0.03575}{4})^{4\times 30}$

$\Rightarrow 68000=P(1.0089375)^{120}$

$\Rightarrow P=\dfrac{68000}{(1.0089375)^{120}}$

$\Rightarrow P=23377.45$

Therefore, $23377 must be deposited to get $68000 at the end of 30 years.

7 0

2 years ago

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