Step-by-step explanation:
The formula for compound interest is
P = I (1 + r/n)^nt
where
P: the total amount of money in the account after a certain amount of time
I: the principal amount
r: the interest rate as a decimal
n: the number of times a year interest is compounded
t: the number of years passed
For Patrick:
P = 200 (1 + 0.02/12)^12*8
P = 200 (1 + 0.00166667)^96
P = 200 (1.00166667)^96
P = 200 * 1.00166667^96
P = $234.67
For Brooklyn:
P = 200 (1 + 0.04/4)^4*8
P = 200 (1 + 0.01)^32
P = 200 (1.01)^32
P = 200 * 1.01^32
P = $274.99
After 8 years, Patrick has $234.67 and Brooklyn has $274.99
Answer:
If you are finding the Area in which you would need for the carpet would be A= 232 ft
Step-by-step explanation:
A = lw
l = 16
w = 14.5
16 x 14.5 = 232 feet
In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say

So required equation is

Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5



So required equation of cubic polynomial is

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.
Answer:
0.13 ft/min
Step-by-step explanation:
We are given that

We have to find the increasing rate of change of height of pile when the pile is 12 ft high.
Let d be the diameter of pile
Height of pile=h
d=h
Radius of pile,r=
Volume of pile=

h=12 ft
Substitute the values



Answer: Table C
Explanation: The X values match up with those on the graph!