Answer:
60.57
Step-by-step explanation:
The angle L can be found using the inverse sine function.
L=arcsin(opp/hyp
)
L=arcsin(2.7/3.1)
L
=60.57129282
Compounded quarterly means that one quarter of the interest is added to the account each quarter
one quarter of 6% is 1.5%
x = 7201 (1 + .06/4)^2 ___ .06/4 is the interest per compounding , and 2 is the number of compoundings
Answer:
Both candles will have the same height after 4 hours.
Step-by-step explanation:
The equation for the amount of candle remaining can be given by the following equations:

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.
Red candle:
8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that
. So

Blue candle:
6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that
. So

After how many hours will both candles be the same height ?
This is t when


![0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2](https://tex.z-dn.net/?f=0.2t%20-%200.7t%20%3D%206%20-%208%5B%2Fyrc%5D%3C%2Fp%3E%3Cp%3E%5Btex%5D-0.5t%20%3D%20-2)
Multiplying by (-1)



Both candles will have the same height after 4 hours.
Answer:
4.5 inches to the nearest tenth
Step-by-step explanation:
V=4/3πr^3
Divide both sides by 4/3π:
r^3 = V / 4/3π
r = ∛ (V / 4/3 π)
When V = 371 inches:
r = ∛ (371/ 4/3 π)
= 4.46 in
Answer:
The slope is 8.
Step-by-step explanation:
If you were to graph the price of meat per pound, you would need to choose the x-axis and y-axis labels.
The x-axis is the <u>independent</u> variable, meat in pounds.
The y-axis is the <u>dependent</u> variable, price in dollars.
The price depends on the number of pounds you buy.
Slope is calculated using rise over run, or:

"Rise" is the number of squares going up.
"Run" is the number of squares going to the right.
In the graph below, <u>to go from one red dot to the next, you count 1 to the right and 8 going up</u>.



Therefore, the slope is 8.