Hello from MrBillDoesMath!
Answer:
36
Discussion:
From the problem statement
(3/4) x = 27
where "x" is the number to be found.
Multiply both side of the above equation by (4/3):
(4/3)(3/4)x = 27 (4/3) => as (4/3)(3/4) = 1
1x = 27 * 4/3 = 108/3 = 36
Thank you,
MrB
13/250 as a decimal is 0.052
<u>Answer:</u>
The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$
<u>Explanation:</u>
We know final amount is given by
Where,
A = final amount
P = initial principal balance = $3200
r = interest rate = 3.74%
t = number of time periods elapsed = 2 years
Substituting the values in the formula
A=
We know, e = 2.72
So we get A = 3449.23$ which is the available amount for the down payment of car .
<span>At t = 1:
The radius is 3(1) = 3
The volume is 4/3 π(3)^3 = 113
At t = 4:
The radius is 3(4) = 12
The volume is 4/3 π(12)^3 = 7238
We can find the change in the volume:
The change in volume is 7238 - 113 = 7125
The change in volume occurred during a time of 3 seconds. To find the average rate of change in the volume, we need to divide the change in the volume by the time.
average rate of change = 7125 / 3 = 2375
The average rate of the change in the volume is 2375
(The units should be (m^3/s) or (ft^3/s) or (cm^3/s) etc...)</span>
