Given:
Price of a pair of binoculars = $155.75
Sales tax = 6.5%
To find:
The amount of sales tax Nick will pay on the purchase to the nearest cent.
Solution:
According to the question,
Sales Tax value = 6.5% of Price of a pair of binoculars
Therefore, the amount of sales tax is $10.12.
First answer is Yes , second one is No
Answer:
A. 75.36 in^3
Step-by-step explanation:
r =3 in
h=8 in
v=1/3 π r^2h
= 1/3×3.14×3×8
=75.36 in^2
hope it helps...
have a great day!!
Answer:
None of the above
Step-by-step explanation:
According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges. (Notice that if the limit does equal 0, the series doesn't necessarily converge).
According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.
The first series is a geometric series with r = -5/3. So it diverges.
The second series is also a geometric series:
3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ
r = 3/2, so it diverges.
For the third series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
For the fourth series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
Remember to follow PEMDAS, and to only combine terms with like variables.
First, distribute the 2 to all terms within the parenthesis:
2(2p + 4t) = 2(2p) + 2(4t) = 4p + 8t
3 + 4p + 8t, or (D), is your answer choice, for it cannot be simplified anymore.
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