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3 years ago

An investment of $2500 is put into a bank that has an annual rate of 6% compounded

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

3 0

Answer:

$8017.84

Step-by-step explanation:

Because it is compounded annually, you have to use the formula

A= P(1+r)^t

(A is the future balance after t years, r is the % rate as a decimal, P is the starting amount -- the principal.)

So,

A = 2500(1 + 0.06)^20 (First, add inside the parentheses)

A = 2500(1.06)^20 (Then, do the exponent and the multiplication with a calculator)

A = 8017.84

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<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

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$\text {Other angle }=11 \times 15=165 \text { degrees }$

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