Answer:
The amount is $649.46 and the interest is $49.46.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$600 , r=8% , n=4 and t=1 years
After plugging the given information we have
AAAA=600(1+0.084)4⋅1=600⋅1.024=600⋅1.082432=649.46
STEP 2: To find interest we use formula A=P+I, since A=649.46 and P = 600 we have:
A649.46II=P+I=600+I=649.46−600=49.46
Answer:
The average contents of all bottles of juice in the population

Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 473 mL
Sample mean,
= 472 mL
Sample size, n = 30
Sample standard deviation, s = 0.2
First, we design the null and the alternate hypothesis

Representation of 
- It is the population parameter for mean.
- Thus, it represents the average contents of all bottles of juice in the population, which is 473 mL.
Answer:
Jack's linear speed is 126ft/min
Bob's linear speed is 176ft/min
Step-by-step explanation:
First of all, find the circumference of both circles given the radius; Jack, 2<em>pi</em>r (10)=63ft. Bob 2<em>pi</em>r(14)=88ft. Now, realize that the merry go round revolves 2 times per min; 2rpm, so multiply each result by 2 and there you go.
The slope is 2 at all points on f(x) since f’x is just 2