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3 years ago

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HELP PLEASE Alonzo bought 3 CDs that were each the same price. Including sales tax, he paid a total of $36.90. Of that total, $3

6.60 was tax. What was the price of each CD before tax?

1 answer:

Sauron [17]3 years ago

7 0

Answer:

each cd was 1 cent

Step-by-step explanation:

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Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form

yKpoI14uk [10]

Answer:

$\displaystyle a_{1} = 108$

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

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

we are given that

$S_n=189$
$r=\dfrac{1}{2}$
$n=3$

thus substitute:

$\displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} }$

to figure out $a_1$ we need to figure out the equation

simplify denominator:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189$

simplify square:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189$

simplify substraction:

$\displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189$

simplify complex fraction:

$\displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189$

calculate reciprocal:

$\displaystyle a_{1} \frac{7}{8} \times 2 = 189$

reduce fraction:

$\displaystyle a_{1} \frac{7}{4} \ = 189$

multiply both sides by 4/7:

$\displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7}$

reduce fraction:

$\displaystyle a_{1} = 27\times 4$

simplify multiplication:

$\displaystyle a_{1} = 108$

hence,

$\displaystyle a_{1} = 108$

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3 years ago

Daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average

defon

Answer:

C gives you 90.2

Step-by-step explanation:

84+88+90+100=362

362/4=90.2

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3 years ago

Comet cable charges $32.50 a month for basic cable television. Each premium channel selected costs an additional $4.50 per month

Alex_Xolod [135]

32.50+4.50x

You are going to pay $32.50 no matter what, that is what you pay for basic cable. $4.50 is what you pay for the extras, so depending on how many premium channels you want, you will pay $4.50 for every extra channel, which is why it is 4.50x because the x is how many premium channels you purchase that month.

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borishaifa [10]

Answer:

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Step-by-step explanation:

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The sum of twice a number and 4 is 12.

navik [9.2K]

The answer is three because 4×3 = 12

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