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3 years ago

9

Jada purchases a sweater for $36. The store charges her 8% sales tax on the purchase. How much sales tax will the store charge o

n the purchase?

1 answer:

dusya [7]3 years ago

6 0

Answer:

Step-by-step explanation:

36/100=0.36 - 1%

8*0.36=2.88$

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Find S9, the sum of the geometric series to the 9th term, in which a3=3.645 and a8=15

ArbitrLikvidat [17]

Answer:

The sum of the first nine terms of the sequence is 74.44.

Step-by-step explanation:

Geometric sequence concepts:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

Or even:

$a_{n} = a_{m}r^{n-m}$

The sum of the first n terms of a geometric sequence is given by:

$S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}$

Finding the common ratio:

$a_{3} = 3.645, a_{8} = 15$

$a_{n} = a_{m}r^{n-m}$

$a_{8} = a_{3}r^{8-3}$

$a_{3}r^{5} = a_{8}$

$3.645r^{5} = 15$

$r^{5} = \frac{15}{3.645}$

$r = \sqrt[5]{\frac{15}{3.645}}$

$r = 1.327$

Finding the first term:

$a_{3} = a_{1}r^{2}$

$a_{1} = \frac{a_{3}}{r^{2}}$

$a_{1} = \frac{3.645}{(1.327)^{2}}$

$a_{1} = 2.07$

Sum of the first nine terms:

$S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44$

The sum of the first nine terms of the sequence is 74.44.

8 0

3 years ago

Read 2 more answers

What is the value of f(1)?

Nuetrik [128]

Answer:

A function normally tells you what y is if you know what x is.

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3 years ago

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Can you help me please I give you 25 points

Anton [14]

Does it give any options

5 0

3 years ago

A few years ago, a country consumed 19,400,000 barrels of oil per day. That same year, there were about 119,000,000 households i

Law Incorporation [45]

Answer:

19400000/119000000 = 6.84 gallons

19000000/115000000 = 6.94 gallons

4 0

3 years ago

Daniel's grandmother sent him $74.70 for his birthday. If Daniel spends $72.17 on a new video game, how much birthday money will

tamaranim1 [39]

<u>Answer:</u>

<u><em>$2.53 left</em></u>

<u><em /></u>

<u>Explanation:</u>

Since the question is asking us how much money Daniel has left, we must subtract the amount he spent on the video game by the original amount (the amount of money his grandmother sent him).

$74.70-72.17= ?\\74.70-72.17= 2.53$

So, based on our calculations, Daniel should have <em><u>$2.53 left.</u></em>

7 0

4 years ago