Answer:
1st problem: b) 
2nd problem: c) 
Step-by-step explanation:
1st problem:
The formula/equation you want to use is:

where
t=number of years
A=amount he will owe in t years
P=principal (initial amount)
r=rate
n=number of times the interest is compounded per year t.
We are given:
P=2500
r=12%=.12
n=12 (since there are 12 months in a year and the interest is being compounded per month)

Time to clean up the inside of the ( ).


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2nd Problem:
Compounded continuously problems use base as e.

P is still the principal
r is still the rate
t is still the number of years
A is still the amount.
You are given:
P=2500
r=12%=.12
Let's plug that information in:
.
Answer:
C.)-5
Step-by-step explanation:
y2-y1/x2-x1
(-9,6) (-6,-9)
-9-6=-15
-6-(-9)=3
-15/3=-5
I think the equation is y= 3/5x-1 1/2
Answer:
16/25
Step-by-step explanation:
We just have to find the probability that the 8 non-defects are chosen.
1. Chance first defect is undetected: 8/10 = <em>4/5</em>
2. Chance second defect is undetected: <em>4/5</em>
3. Total probability': 4/5 * 4/5 = 16/25
Answer:
g(f(x)) = -6x+6.
Step-by-step explanation:
It is given that,
f(x) = -3x + 2 and g(x) = 2x – 5
We need to find g(f(x)).
Put it into g(x).
g(f(x)) = 2(-3x + 2)+2
= -6x+4+2
=-6x+6
Hence, the value of g(f(x)) is -6x+6.