What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?
2 answers:
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Answer:
Step-by-step explanation:
Answer:
a. The amount that is saved at the expiration of the 5 year period is $22,769.20¢
b. The amount of interest is $2,769.20¢
Step-by-step explanation:
Since the amount that is deposited every year for a period of five years is $4,000 and the rate of the interest is 6.5%. We can always calculate the amount that is saved at the expiration of the five years.
We will first state the formula for calculating the future value of annuity:-
Future value of annuity =
Where P is the amount deposited per year.
r is the rate of interest
t is the time or period
and in this case, the actual value of P = $4,000
rate of interest, r is 6.5% = 0.065
time, t is 5 years.
Substituting e, we have:
Fv of annuity =
= 4,000 × [((1.065)^5)- 1/0.065]
= 4,000 × [(1.37 - 1)/0.065]
= 4,000 × (0.37/0.065)
= 4,000 × 5.6923
= $22,769.20¢
a. Therefore the amount that is saved at the end of the five (5) years is $22,769.20¢
b. To find the interest, we will calculate the amount of deposit made during the period of five years and subtract the sum from the current amount that is saved ($22,769.29¢).
Since I deposited 4,000 every year for five years, the total amount of deposit I made at the period =
4,000 × 5 = $20,000
The amount of interest is then = $22,769.20¢ - $20,000 = $2,769.20¢
Answers with Explanation.
i. If we raise a number to an exponent of 1, we get the same number.
ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.
iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.
iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.
v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.
vi. Recall that,
We apply this law of exponents to obtain,
vii. We apply
again to obtain,
i. If we raise a number to an exponent of 1, we get the same number.
ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.
iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.
iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.
v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.
vi. Recall that,
We apply this law of exponents to obtain,
vii. We apply
again to obtain,