Answer:
4335.61
Step-by-step explanation:
Using the equation A = P (1 + r/n)^nt
lets fill in the variables,
P (principal) is 3500.00
r (rate) is .04375 - we do this in decimal form
n (number of times interest is doubled) here it is annually, could be monthly or daily too, but we are told annually, so we use 1
t (time) is 5 years
So: 3500(1+.04375/1) ^ 1(5)
pemdas
parenthesis first 1 +.04375/1 = 1.04375
exponents next 1 x 5 = 5
so now we have 3500 (1.04375) ^5
take 1.04375 to the power of 5 (pemdas) then multiplication
= 3500(1.2387465058) or
A = 4335.61
This is the same result as calculating simple interest for 5 years but each year calculating off the new Principal amount that includes interest.
3500 x .04375 = 153.125 or 3653.125 *(year one)
159.82 = 3812.95
166.82 = 3979.77
174.11 = 4153.88
181.73 = 4335.61
Yes and the correct one is A
9514 1404 393
Answer:
- 0 ≤ m ≤ 7
- 0.4541 cm/month; average rate of growth over last 4 months of study
Step-by-step explanation:
<u>Part A</u>:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
<u>Part B</u>:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
<u>Part C</u>:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
Answer:
Always
Step-by-step explanation:
A mononomial's variable can only have exponents 0,1,2,3 etc so the product will also be a mononomial.
