Answer:
$12,415.48
Step-by-step explanation:
A = P (1 + r/n)^(nt)
where A is the final amount,
P is the initial amount,
r is the annual interest rate as a decimal,
n is the number of compoundings per year,
and t is the number of years.
A = 8000 (1 + 0.152/2)^(2×3)
A = 8000 (1.076)^6
A = 12415.48
Answer:
A
Step-by-step explanation:
We want to solve the equation:

To do so, we can rewrite the equation.
Recall the double-angle for sine:

By substitution:

Distribute:

We can subtract 3cos(x) from both sides:

And factor:

Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
what's the question? I don't see anything
9514 1404 393
Answer:
5187
Step-by-step explanation:
At the end of 1 hour, the count is 2.5% greater than at the beginning.
5060 + 2.5% × 5060 = 5060 +126.5 = 5186.5
The count at the end of the hour was about 5187.