Answer:
step 3
Step-by-step explanation:
take away 2 add 4 then multiple 9000 then divide 1 then you got your answer 20/56.
Answer:
A = $35,198.32
Step-by-step explanation:
<em>Use the formula to calculate compound interest</em>:
A = P(1 + i)ⁿ
"A" for total amount after the time period
"P" for principal, or starting money
"i" for the interest rate in a compounding period
To calculate "i":
i = r / c
"n" for the number of compounding periods
To calculate "n":
n = tc
So, we can <u>combine the formulas</u> into:
"c" is the compounding periods in a year. (quarterly = 4)
<u>We know</u>:
P = 8000
r = 10% / 100 = 0.1
t = 15
c = 4
<u>Substitute the information in the formula</u>.
Solve "i" and "n"
Solve inside the brackets
Do the exponent before multiplying by 8000
A = 35198.318 Exact answer
A ≈ 35198.32 Round to two decimal places for money
Therefore she will have $35,198.32 after 15 years.
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
Answer:
the question answer is A
Step-by-step explanation:
The answer is C.
When a positive and negative number are multipled or divided, the result is negative.