The function f(t) that describes this scenario will be A = -42.57t + 1399.28
- Let the amount of oil remaining after time t be A
- Let the time taken be "t"
This required linear expression will be given as A= mt + b
Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)
m is the rate of change = 633-931/18-11
m = -298/7
m = -42.57
Get the intercept;
633 = -42.57(18) + b
633 = -766.29 + b
b = 1,399.28
Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28
Learn more on functions here; brainly.com/question/17431959
Answer:
$311.20
Step-by-step explanation:
Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year
The formula is given as

Where ,
A is the final amount
P is the initial amount = $200
r is the rate of interest = 5% annual = 0.05
n is the frequency of compounding in a year ( Here it is compounding monthly) = 12
t is the time period = 9
Now we substitute all these values in the formula and solve for A





Hence the amount after 9 years will be $311.20
Answer with explanation:
Amount charged by Home Improvement Store for first day=$ 45
Amount charged per day after first day = $ 22
y= Total cost
x=Number of days Rented
Writing the above statement in terms of function
→y=1×$45 +(x-1)×$22
→→Total amount charged(y)=45+22x-22
→→→y=22x+23
is, the required function.
Answer:
15 pages
Step-by-step explanation:
This is a fairly simple problem meaning it has very few steps. If it makes 75 pages in 5 minutes you need to find out what the PPM or Page Per Minute is.
To find that you simply divide 75 by 5 and get 15 and in one minute the printer prints 15 pages.
Answer:

And for this case the value for the height is
the diameter is provided
so then the radius is given by:

Then we can find the volume with the first formula and replacing we got:

The final answer for this case would be 551.4 cubic inches
Step-by-step explanation:
The volume for a right circular cone is given by this formula:

And for this case the value for the height is
the diameter is provided
so then the radius is given by:

Then we can find the volume with the first formula and replacing we got:

The final answer for this case would be 551.4 cubic inches