Dina invests $600 for 5 years at a rate of 2% per year compound interest.

Mathematics

1 answer:

kenny6666 [7]2 years ago

4 0

Answer:

The investment after 5 years is $ 662.45.

Step-by-step explanation:

Principal, P = $ 600

Time, t = 5 years

Rate of interest, R = 2 %

Time , t = 5 years

The amount after the time 5 years is

$A = P \times \left ( 1+\frac{R}{100} \right )^t\\\\A = 600\left ( 1+0.02 \right )^5\\\\A = 662.45$

So, the investment after 5 years is $ 662.45.

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Anna has a 25-meter-long fence that she plans to use to enclose a rectangular garden of width w. The fencing will be placed arou

Leviafan [203]

<h3>Answer: -2w^2 + 25w = 25 or -2w^2 + 25w - 25 = 0</h3>

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Explanation:

Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w.

The area of the rectangle is

Area = length*width

Area = L*W

Area = (25-2w)*w

Area = 25w - 2w^2

Area = -2w^2 + 25w

Set this equal to the desired area (25 square meters) to get

-2w^2 + 25w = 25

and we can subtract 25 from both sides to get everything on one side

-2w^2 + 25w - 25 = 0

side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)