MATHEMATICS HIGH SCHOOL

Lisa purchased a hat for $10, a purse for $20, and a book for $23.The sales-tax rate was 7.2 percent. What was the total amount she paid?

Answers

Answer 1

Answer:

From information given Lisa bought three items.

10 + 20 + 23 = 53 dollars ( which is total pre- tax cost)

The sales tax rate is at 7.2% . Value of this tax in dollars will be:

7.2 % of 53 → (7.2 / 100) × 53 → 0.072 × 53 = 3.816

So the tax rate value is 3.816

Total cost of items will be 53 + 3.816 = 56. 816

Rounded off to the nearest cent 56.816 = 56.80

Therefore Lisa paid a total of $ 56.80

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3t + 15 = 45. solve pls

Answers

Answer:

t=10

Step-by-step explanation:

3t + 15 = 45

3t = 30

t = 10

Answer:

t = 10

Step-by-step explanation:

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What is x the second term in thr geometric series 1/4+×+1/36+1/108+...?

Answers

The second term of this given geometric series is $(1)/(12)$

What is geometric series?

A geometric sequence's finite or infinite terms are added together to form a geometric series. The geometric series that corresponds to the geometric sequence a, ar, ar2,..., arn-1,... is a + ar + ar2 +..., arn-1 Clearly, "series" means "sum." The phrase "geometric series" refers specifically to the total of words with a common ratio between every adjacent pair of them. Finite and infinite geometric series are both possible.

Given a geometric series 1/4 + × + 1/36 + 1/108 +.....

In this series first term(a) = 1/4

second term(a₂) = x

Third term (a₃) = 1/36

ratio(r) = a₄ /a₃

ratio (r) = 1/3

The formula for the nth term of a geometric series is aₙ = arⁿ⁻¹ .....(1)

put these values in equation (1)

a₂ = $(1)/(4) *(1)/(3)$

a₂ = 1/12

Hence, the second term for the geometric series 1/4+×+1/36+1/108+... is 1/12.

learn more about geometric series Here:

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formula for geometric series
an=a1(r)^n-1

a2=1/4(1/3)^1
a2=1/12

Kim, Kyle and Katie contribute the same amount to their fathers gift. Their older sister contributes $12. how much does Kate contribute is the total is $30.