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Katen [24]
3 years ago
12

What is the sum of a common geometric series if the first term is 8 and the common ratio is 1/2?

Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:  A

Step-by-step explanation:

The sum to infinity of a geometric series is

S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )

where a is the first term 8 and r is the common ratio, hence

S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16

You might be interested in
Malliki Williams earned a $48,000 from royalties on her cookbook.She paid a 28% income tax on these royalties. The balance wasin
Nikitich [7]

Answer:

$20000 and $14560

Step-by-step explanation:

First, we need to get the total tax paid by Malliki Williams

To get that, we have to multiply her income tax (28%) by total royalties ($48000)

28% of $48000 = $13440

Balance after tax = $48000 - $13440

Balance = $34560

She invested some of the balance ($34560) at the rate of

3.25% ---- First investment

1.75% --- Second investment

Assume her first investment is x dollars

Definitely, her second investment would be $34560 - x

3.25% of x + 1.75% (34560 - x ) = 904.8

0.0325x + 0.0175(34560-x) = 904.8 ----- Open the bracket

0.0325x + 604.8x - 0.0175x = 904.8 ------ Collect like terms

0.0325x -0.0175x =904.8 - 604.8

0.015x = 300 ------ Divide both sides by 0.015

x = 300/0.015

x = 20000

Remember that x represents her first investment

Her second investment is $34560 - $20000 =$14560

4 0
3 years ago
Factor the expression over the complex numbers.<br><br> x2+25
Rasek [7]

Answer:(x+5i) (x-5i) is the right answer

3 0
3 years ago
Jake is traveling 14 mph in his boat. After 5 hours, how far will he have traveled?
Luden [163]

Answer: 70

Step-by-step explanation: 14 times 5 = 70

6 0
3 years ago
Read 2 more answers
PLEASEEE HELPPP
miv72 [106K]

Answer:

the answer to this question is

175 - n x 2.75

Step-by-step explanation:

I hope this help! :)

7 0
3 years ago
Suppose that the local sales tax rate is 6.25% and you purchased a used car for $16,800. What is the car’s total cost?
Tanzania [10]
Total= Car Cost + (Car Cost * Tax %)

Total= $16,800 + ($16,800 * 6.25%)
convert % to decimal form; divide % by 100

Total= $16,800 + ($16,800 * 0.0625)
multiply inside parentheses

Total= $16,800 + $1,050

Total= $17,850


ANSWER: The total cost for the used car with tax is $17,850.

Hopd this helps! :)
7 0
4 years ago
Read 2 more answers
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