Answer:
x | y
0 | 0
6 | 2
12 | 4
Step-by-step explanation:
Multiply each x value in the table by 1/3 to get 0, 2, and 4 for your y values.
Answer: The correct option is C
Step-by-step explanation:
You begin a job with an annual salary of $32,900
Each year you are assured of a 5.5%. If you get the same amount each year, that is a 100% payment. It is neither reducing nor increasing. But with an increase of 5.5% each year, it means you are getting (100+5.5)% each year. This equals 105.5%. So for each year, you get 105.5% of the previous year.
This is a geometric progression. To determine the total amount that you can earn in 15 years, we will find the sum of 15 terms, S15 of the series. The formula for sum of the nth term of a geometric progression is expressed as
Sn = [a(r^n - 1)] / r - 1
Where
Sn = sum of the nth terms of the series
a = the first term(salary of the first year
r = common ratio
n = number of years.
From the question,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649224 - 1)] / 0.055
S15 = [32900 × 1.23247649224] / 0.055
S15 = $737245
Answer:
158.428571429
158 remainder 6
Step-by-step explanation:
F(x)=4x+1
g(x)=x^2-5
(f . g)(x)=?
(f . g)(x) = f(x) . g(x) = (4x+1).(x^2-5)=(4x).(x^2)+(4x).(-5)+(1).(x^2)+(1).(-5)
(f . g)(x) = 4x^(1+2)-20x+x^2-5
(f . g)(x)=4x^3+x^2-20x-5
Answer: Option A. 4x^3+x^2-20x-5
In 14 hours, the bakery's total expenses and receipts will both equal $448.
<h3>Definition of profit </h3>
Profit is total revenue less total cost. Total revenue is average receipts multiplied by total hours. Total cost is the average hourly operating costs multiplied by total hours.
Profit = total revenue - total cost
<h3>Determining total hours </h3>
The equation that would be used to determine the total hours when the amount used to buy the new equipment would be recovered is: $45h - $13h = $448
$32h = $448
h = $448 / $32
h = 14 hours
<h3>Total expenses and total receipts</h3>
Total expenses = $13 x 14 = $182
Total receipts = $45 x 14 = $630.
To learn more about profit, please check: brainly.com/question/3018696