Answer:
R = 5 ft
Step-by-step explanation:
Pythagorean theorem
x² + 12² = (x + 8)²
x² + 144 = x² + 16x + 64
16x = 80
x = 5
Ok I know how to do this but what do I need to do?
Answer:
Katelyn's monthly payment for the loan is $ 2,032.52
Step-by-step explanation:
The formula given is explicit,we can solve for monthly payment using the below formula
P=L(1-r/r-r^n+1)
r=1/(1+i)
i=5.6%/12=0.47%
5.6% is an annual interest rate,it would be appropriate to restate in monthly terms
r=1/(1+0.47%)=0.995
n=5 years*12 months=60
L is the loan amount of $100,000
P=100000*(1-0.995)/(0.995-0.995^60+1)
=100000*(1-0.995)/(0.995-0.74)
=100000*0.005/0.246
=$ 2,032.52
Answer:
Step-by-step explanation:
V=4/3πr^3
288πcm^3=4/3×π×r^3
288π×3cm^3=4πr^3
864π=4πr^3
r^3=216
r=6cm
Answer:

Step-by-step explanation:
Let y be the amount of water in the bottle x seconds after the faucet was turned on.
We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.
We have two points on the line
and
.
Let us find slope of the line passing through these points.




We will write our required equation in slope-intercept form
, where, m represents slope and b represents the y-intercept.
Let us find y-intercept by substituting
and coordinates of point
in slope intercept form.




Therefore, our required equation would be
.