ANSWER
The greatest common divisor of 15,015 and 495 is 165.
<u>EXPLANATION</u>
We use the Euclidean Algorithm to compute the Greatest Common Divisor as follows;
The last remainder before zero is the greatest common divisor.
Therefore
Answer:
1. 6
2. 9
3. 12
Step-by-step explanation:
I don’t know if it’s correct tho ;-;
I’m not a pro at math
Don’t expect anything if you get it incorrect ;-;
Answer:
r= 0.08 ft
Step-by-step explanation:
C= $500 per cubic foot
S=$20 per square foot of surface area
We know that
Profit = Selling price - Manufacturing price
P = S - C
Lets take r is the radius of sphere
Surface area ,A= 4πrr²
Volume ,V= 4πr³/3
P = S - C
P = 20 x 4πr² - 500 x 4πr³/3
For maximize the profit
dP/dr = 0
P = 20 x 4πr² - 500 x 4πr³/3
dP/dr = 160 πr - 2000 πr²
160 πr - 2000 πr² = 0
160 - 2000 r = 0
r= 0.08 ft
d²P/dr² = - 4000 πr
d²P/dr² is negative at all value of r that is why at r=0.08 ft ,it is maximum.
Answer:
Step-by-step explanation:
Most tracks are 400 meters around, as measured in Lane 1; that's just a bit less than one-quarter of a mile. Here are some other measurements that it's helpful to know: 100 meters: the length of one straightaway. 800 meters: roughly ½ mile or 2 laps around the track
good luck, hope this helped
Using the future value annuity to solve the question we proceed as follows:
FV of annuity=P{[(1+r)^n-1]/r}
P=periodic Payment
r=rate per period
n=number of periods
from the question:'
P=$3,800
r=8.5%
n=5 years
hence:
A=3800{[(1+0.085)^5-1]/0.085}
A=$22,516.42