Answer:
<em>A = $19,908.59</em>
Step-by-step explanation:
<u>Compound Interest</u>
Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
k = number of times interest applied per time period
t = number of time periods elapsed
We are given the following data:
P = $12,000
r = 7.5% = 7.5/100 = 0.075
t = 7
k = 1 since there is only on compounding per year.
Applying the formula:
A = $19,908.59
Answer: The mean is 5
Step-by-step explanation:
If you add all of the numbers and divide by how much numbers there are (8), then you get 5. Then the mean absolute deviation is the number away from the mean.
So I will put the mean absolute deviation in order of the numbers
4 (1 away from mean), 3 (2 away from the mean), 4( 1 away from the mean), 5 (same number as the mean), 6 (1 away from the mean), 6(1 away from mean), 8 (3 away from mean), and, finally another 4 (1 away)
Hope this helps :)
Answer:
FALSE
Step-by-step explanation:
In order to be consistent with the system of unit we should decide if we are going to work with the CGS system <em>(centimeter-gram-second)</em> or the MKS system <em>(meter-kilogram-second).
</em>
If we decide to work with the CGS system, the equation of motion would be
8,000x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0
since 1 Kg = 1,000 g
If we decide to work with the MKS system, the equation of motion would be
8x ′′ + 2x = 0; x(0) = 0.03, x ′ (0) = 0
given that 1 mt = 100 cm
Answer:
188.496 mm^3 (or 188.495559 mm^3 if you want to be specific)
Step-by-step explanation:
The radius would be the distance from the middle of the circle on top, we are given that the diameter of the circle is 4mm, the radius is half of that so you would get 2 as the radius (or R). H is the height of the cylinder which is 15 mm, so plugging it in (pi * (2^2) * 15) would get you 188.496 mm^3 (rounded of course).
addition of signed numbers: -3+2
answer = -1
