Step-by-step explanation:
area of the rectangle = 3×4 cm²
= 12cm²
area of the circle = πr²= π = 3.14
area of the shaded region = 12-3.14 = 8.86 cm²
Answer: f(x) was given a vertical stretch of 4 to result in g(x)
Step-by-step explanation:
hope this helps :3
Answer:
7*(8-6)+3
Step-by-step explanation:
Grouping symbols are parentheses; trial and error can lead you to this answer.
Checking, we must use order of operations (PEMDAS). First, we evaluate what's inside parentheses.
7 * 2 + 3
Then multiply:
14 + 3
Then add
17
Answer: the athlete's salary for year 7 of the contract is $3795957
Step-by-step explanation:
The player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase of 4%. This means that the amount he gets each year is 1.04 times of the previous year's amount. The rate at which his salary increases is in geometric progression. The nth term of a geometric progression is expressed as
Tn = ar^n-1
Where
Tn is the salary for the nth year
a is the salary for the first year
r is the rate at which the salary is increasing. So
a = 3,000,000
n = 7
r = 1.04
We want to determine T7. It becomes
T7 = 3000000 × 1.04^(7-1)
T7 = 3000000 × 1.04^6
Tn = $3795957
Answer: he would have $13134 at the end of 10 years
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = $9000
r = 3.79% = 3.78/100 = 0.0378
t = 10 years
Therefore,
A = 9000 x 2.7183^(0.0378 x 10)
A = 9000 x 2.7183^(0.378)
A = $13134 to the nearest dollar
