Right triangle DEF is shown.
1 answer:
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Answer:
Given that:
The equation for the future value of a deposit earning compound interest is equation:
.....[1]
where,
P = the initial deposit
t = years invested
r = rate at which interest is compounded annually
.
n = number of times the interest is compounded per year
As per the statement:
After 10 years, a $2,000-dollar investment compounded annually has grown to $3600.
⇒P = $2000 and V(t) = $3600
Substitute in [1] we have;
Divide both sides by 2000 we have;
Taking log base 10 both sides we have;
⇒
Divide both sides by 10 we have;
⇒
Simplify":
Subtract 1 from both sides we have;
or
r = 0.06 = 6%
Therefore, 6% is the interest rate to the nearest whole-number percent
Answer:
A. Yes.
B. Yes.
C. No.
Step-by-step explanation:
A. Yes. The sum of the series, is the sum of a geometric series.
The first term of the series = 5.
The common ration or the ratio between successive terms (r) = (Answer)
B. Yes. The sum of the series, is also the sum of a geometric series.
The first term of the series .
The common ration or the ratio between successive terms (r) = (Answer)
C. No. The sum of the series, is not the sum of a geometric series.
The first term of the series .
(Answer)
Hi there! The answer is B.
Subtract 6r from both sides.
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}
~ Hope this helps you!
Subtract 6r from both sides.
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}
~ Hope this helps you!