a. Always
b. Sometimes
c. Never
The inverse of the function y = 4x + 5 is
The given function is:
y = 4x + 5
To find the inverse of the given function y = 4x + 5, follow the following steps:
Make x the subject of the formula:
Replace x by and replace y by x.
The resulting function represents the inverse of the function y = 4x + 5
Which can be further simplified as:
The inverse of the function y = 4x + 5 is
Learn more here: brainly.com/question/12220962
Answer:
y = 1/4 x - 5/4
Step-by-step explanation:
y = 4x + 5
Switch x and y.
x = 4y + 5
Solve for y.
4y = x - 5
y = 1/4 x - 5/4
Answer:
To figure out which loan has the lower total cost, we need to calculate the total repayment amount for both loans.
The formula to calculate the monthly payment for a loan is:
P = [r*PV] / [1 - (1 + r)^-n]
where:
P is the monthly payment
r is the monthly interest rate (annual rate / 12)
PV is the present value, i.e., the loan amount
n is the number of payments (months)
For the first loan:
r = 4% / 12 = 0.00333 (approximately)
n = 10 years * 12 = 120 months
PV = $50,000
Plugging these numbers into the formula, we get the monthly payment for the first loan.
For the second loan, we do the same calculation, but with r = 3% / 12 and n = 20 * 12.
After we have the monthly payments, we multiply each by the total number of payments (n) to get the total repayment amount for each loan. The loan with the lower total repayment amount is the one Connor should select.
I hope that helps
Answer:
Connor should select the 10-year loan because it has a lower total cost than the 20-year loan.
Step-by-step explanation: To calculate the total cost of each loan, first find the monthly payment of the loans. Use the formula below to find the monthly payments, where P is the monthly payment, L is the principal amount of the loan, i is the interest rate, and n is the duration of the loan.
P=L×i1−(1+i)−n
The loan amount needed, L, is $50,000 for both loans. Since the interest rate is compounded monthly, the interest rate offered is 4% per year or 0.0412 per month. The time period is 10 years or 120 months. Substituting the values into the formula and converting the interest rate to the monthly rate yields the following.
PP=50,000×0.04121−(1+0.0412)−120≈$506.23
Multiply the monthly payment by the number of months in the loan, 120, to determine the total cost of the loan.
$506.23×120=$60,747.60
Now calculate the monthly cost of the 20-year loan.
PP=50,000×0.03121−(1+0.0312)−240≈$277.30
$277.30×240=$66,552
Since the total cost of the 10-year loan, $60,747.60, is less than the total cost of the 20-year loan, $66,552, Connor should select the 10-year loan.
Your answer:
Connor should select the 20-year loan because it costs less than the 10-year loan.
The 20-year loan has a total cost of $66,552 while the 10-year loan has a total cost of $60,747.60.