Answer:
the answer depends on which type of interest we use:
- simple interest rate = 24%
- compound interest rate = 26.82%
Step-by-step explanation:
the interest rate paid for holding the cards one month 1/50 or 2%.
to convert 2% monthly interest rate to a simple annual rate:
monthly rate x 12 months = 2% x 12 = 24%
now to convert 2% monthly interest rate to an annual rate (using compound interest):
- = (1 + r)ⁿ - 1
- = (1 + 0.02)¹² - 1 = 1.2682 - 1 = 0.2682 or 26.82%
in compound interest, earned interest earns even more interest by itself besides the interest earned by the principal.
8b + 8 - 4b - 3
Combine like terms:-
(8-4)b + 8 - 3
4b + 8 - 3
4b + 5
This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.
So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.
There will be 40 mosquitoes after ten months.
Answer:
Step-by-step explanation:
"The graph of f(x) is a horizontal compression of the graph of the parent function" is true; the graph will appear to be narrower than that of y = |x|. I would prefer to state "the graph of f(x) exhibits vertical stretching of the original (parent) function graph."