The cubic function is f(x) = x^3
You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.
Those transfformations are:
1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3
2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3
3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5
Looking at the given question, we can find several important information's and based on thm we can easily calculate the amount after 10 years.
Principal amount = $550
Rate of interest per year = 3%
Number of years the amount is to be kept = 10 years
Now we get put these information's in the formula of finding amount of money kepy in simple interest.
Amount = P(1 + rt)
Where
p = principal amount
r = rate of interest
t = Time
Then
Amount = 550[1 + (3/100) * 10)]
= 550 [1 + 3/10]
= 550 * (13/10)
= 55 * 13
= 715 dollars
So the total amount in my account will be $715
Answer:
Question 1:
(b) 4,445
Question 2:
(c) 2.1%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is of:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Question 1:
We have no previous estimate for the population proportion, so we use 
.
The sample size is n for which M = 0.015. So
Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.
Question 2:
Now we find M for which 
.
So 2.1%, and the correct answer is given by option c.
