The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to de
2 answers:
Answer:
The equivalent expressions are:
Step-by-step explanation:
Given equation for finding area of a trapezoid:
where represents area,
represents height and
represents the base lengths of the trapezoid.
Evaluating by rearranging the equation to find an equivalent equation.
Multiplying both sides by 2.
Dividing both sides by
Evaluating by rearranging the equation to find an equivalent equation.
Multiplying both sides by 2.
Dividing both sides by
Subtracting both sides by
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Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be .
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.
Amount of interest earned from lower-yielding account: .
Amount of interest earned from higher-yielding account: .
Let us solve for x.
Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be .
Therefore, the man invested $60,000 at 6%.
Rounded, the answer would be 2.86.
