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mestny [16]
2 years ago
12

Kayla buys a video game for $19 plus a 6% tax. Michael buys a volleyball for $18 plus a 6% tax. Enter the difference in the amou

nt Kayla and Michael paid, including tax. Round your answer to the nearest cent. HELP ME OUT PLEASE
Mathematics
1 answer:
adelina 88 [10]2 years ago
6 0

Answer:

Kayla = $20.14

Michael = $19.08

The Difference = 1.06

Step-by-step explanation:

<em><u>How to solve.</u></em>

First, you need to add up how much Kayla is paying for the video game, plus the 6% tax.

19.00 + 6% = 20.14

Then, you need to do the same with Michael's.

18.00 + 6% = 19.00

To find the difference between how much Kayla and Michael paid for their items, you need to subtract their total.

20.14 - 19.00 = 1.06

and the nearest cent would be 1.10.

<u><em>I hope this helped</em></u>.<em><u>!</u></em>

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The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

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Answer:

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Step-by-step explanation:

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What is a third-degree binomial?
ankoles [38]

Answer:

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Step-by-step explanation:

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BEST ANSWER GET TO BE BRAINLYEST+82pts
Paha777 [63]

d im pretty sure

hope this helps

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