Look at the figure below: Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 5 units, and
the length of AB is 4 units. D is a point above C. Triangle ADC is a right triangle with angle DAC equal to 90 degrees and DC parallel to AB. What is the length, in units, of segment CD?
1 answer:
Answer:
<h2>CD = 4 units</h2>Step-by-step explanation:
Check the sketch of the description of the diagram in the figure below. The figure forms a rectangular shaped figure which was divided into two triangle using the diagonal line AC.
According to the figure AB is known to be parallel to CD i.e AB//CD. <u><em>Parallel sides are equal sides</em></u>. Since AB = 4 units then CD will also be equal to 4 units.
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We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.
(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.
We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.
Therefore, the amount in the account would be:
Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.
(b) In this part we need to figure out the total amount she deposited.
The total amount she deposited would be .
(c) We can find the interest earned by subtracting her contribution from the answer of part (a).
Interest earned =