Answer:
g
Step-by-step explanation:
Answer:
volume of hemisphere = 452.16 ft³
volume of cylinder = 2260.8 ft³
total volume = 2712.96 ft³
1/3 full = 904.32 ft³
Step-by-step explanation:
volume of hemisphere = 1/2(4/3)(3.14)(6³) = 452.16 ft³
volume of cylinder = (3.14)(6²)(20) = 2260.8 ft³
total volume = 452.16 + 2260.8 = 2712.96 ft³
1/3 full = 2712.96/3 = 904.32 ft³
Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
S = 166/2 [ 2(6) + (166 - 1)6]
S = 83,166
Answer:
a) 13913
b) 4913.82
Step-by-step explanation:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
Investment of 9000, so 
Interest rate of 8%, so 
Compounded quarterly, so 
5 years and 6 months, that is, 5 years and half, so 
(a) How much would the value of her savings at the end of the term?


(b) How much is the interest earned by your savings?
The amount subtracted by the principal. So
13913.82 - 9000 = 4913.82