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andriy [413]
2 years ago
13

Adam is a salesperson in a video store. He is paid $100 every week plus a commission of $5 on every DVD he sells. Which equation

can be used to find out how many DVDs, x, he sold in a week, if he earned $150?
Mathematics
1 answer:
sweet [91]2 years ago
4 0

Answer:

X = (150 - 100) / 5

Step-by-step explanation:

To determine how many DVDs Adam sold in the week, knowing that he charges a fixed amount of $ 100 plus $ 5 for each sale he makes, and in the week he charges a total of $ 150, the following calculation must be made:

X (number of DVDs sold) = (150 (weekly profit) - 100 (fixed amount)) / 5 (value of each DVD)

X = (150 - 100) / 5

X = 50/5

X = 10

So, during the week Adam sold 10 DVDs.

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Read 2 more answers
The sum of the first two terms of an infinite GP is 6 and each term is 5 times the sum of the succeeding termsthen the second te
kozerog [31]

Answer:

\dfrac{6}{7}.

Step-by-step explanation:

It is given that the sum of first two terms of an infinite GP is 6.

nth term of a GP is

a_n=ar^{n-1}

a+ar=6     ...(1)

Each term is 5 times the sum of the succeeding terms.

a_n=5(a_{n+1}+a_{n+2}+...+\infty)

ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)

ar^{n-1}=5ar^n(1+r+r^2+...+\infty)

Divide both sides by a.

r^{n-1}=5r^n(\dfrac{1}{1-r})    [\text{Sum of infinite GP}=\dfrac{a}{1-r}]

\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}

\dfrac{1}{r}=\dfrac{5}{1-r}

1-r=5r

1=6r

\dfrac{1}{6}=r

The common ratio is 1/6.

Put r=1/6 in (1).

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

6a+a=36

7a=36

a=\dfrac{36}{7}

Second term ar=\dfrac{36}{7}\times \dfrac{1}{6}=\dfrac{6}{7}

Therefore, the second term is \dfrac{6}{7}.

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