Answer:
Gallons of water remaining = 16,962 gallons
Step-by-step explanation:
Total capacity of the pool = 17,897 gallons
Rate of leakage per day = 5 gallons
Number of days = 187 days
how many gallons of water will remain in the pool after 187 days?
Gallons of water remaining = Total capacity of the pool - (Rate of leakage per day × Number of days
= 17,897 - (5 × 187)
= 17,897 - 935
= 16,962 gallons
Gallons of water remaining = 16,962 gallons
The statement gives you the function that models the Area as a function of angle theta, and is telling the value of this angle.
Then, you only need to replace the value of the angle in the function, to obtain the requested area.
<span>A(Θ) = 16 sin Θ • (cos Θ + 1).
Θ = 60°
A(</span>60°<span>) = 16 sin(</span><span>60°) * [cos(</span><span>60°) + 1 ] = 16 * (√3) / 2 * [1/2 + 1] = 8(√3) * 3/2 = 12√3 ≈ 20.79
Answer: 20.8 in^2 </span>
Answer:
C
Step-by-step explanation:
3x + y + x - 6 + y
3x + x + y + y - 6
4x + 2y - 6
John's effective annual rate is about
(1 +.0576/4)^4 -1 ≈ 5.8856%
According to the "rule of 72", John's money will have doubled in
72/5.8856 = 12.23 years
John's balance will be $4500 in 1989.
_____
Since you're only concerned with the year (not the month), you don't actually need to determine the effective annual rate. The given rate of 5.76% will tell you 72/5.76 = 12.5 years. The actual doubling time is closer to 12.12 years, so using the effective rate gives results that are closer, but "good enough" is good enough in this case.
As the number of pieces in a whole gets larger, the size of the pieces gets smaller. This is represented by the denominator in a fraction. As the denominator increases, the number of pieces the whole is divided into also increases so the size of the pieces is smaller.
1/2 > 1/3 > 1/4 > 1/5 etc...
Fractions get smaller as the denominator gets bigger.
