<h3>Answer: 787.25 dollars</h3>
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Work Shown:
A = final amount after t years = 1000
P = initial deposit = unknown
r = interest rate in decimal form = 0.08
n = compounding frequency = 12
t = number of years = 3
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A = P*(1+r/n)^(n*t) is the compound interest formula
1000 = P*(1+0.08/12)^(12*3)
1000 = P*1.27023705162066
1.27023705162066P = 1000
P = 1000/1.27023705162066
P = 787.254629932364
P = 787.25 rounding to the nearest penny
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note: this assumes that the interest rate stays at 8% the entire three year period; also, you cannot withdraw any money from the account during this time period.
Answer:
f(2) = $180.22
f'(2) = $130.00/week
f'(2)/f(2) = 72.13%
Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.
Step-by-step explanation:
The revenue from sales, in dollars, as a function of time, in weeks, is given by:
After two weeks (t=2), the revenue from sales is:
The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:
The relative rate of change is:
Therefore, Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.
The length of the inside of the garden is<u> 50 feet.</u>
What is perimeter ?
A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or length. The circumference of a circle or an ellipse is its perimeter.
There are various practical applications for calculating the perimeter. A calculated perimeter is the length of fencing needed to completely encircle a yard or garden. The perimeter (circumference) of a wheel/circle describes how far it will roll in one revolution. Similarly, the amount of string wrapped around a spool is proportional to the spool's perimeter; if the string length were correct, it would equal the perimeter.
Given :
The rectangular garden has a perimeter of 280 feet
breadth = 90 feet
Let the length be x.
Therefore according to the question,
2( 90 + x ) = 280
=> 90+ x = 140
=> x = 50
To learn more about perimeter click on the link below:
brainly.com/question/397857
#SPJ10
Joint variation means that w=kxy where k is constant.
Finding k:
12=k*2*18
12=36k
k=1/3
Now plug in second set of values
16= 1/3*6*y
16=2*y
y=8
Final answer: 8
Answer:
Step-by-step explanation:
3p + 2p - p
= 3p + p
= 4p
(add the co-efficients)
