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aleksklad [387]
3 years ago
11

Mr.Lin is a telemarketer for a carpet-cleaning service. He is paid $100 per week plus $5 for every customer he brings in. If he

wants to make $300 or more this week, How many customers does he needs to bring in?
Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

He must bring in 40 or more customers.

Step-by-step explanation:

Let x represent the number of customers that he brings in.

He is paid $100 per week plus $5 for every customer he brings in. This means that if he brings in x customers in a week, the expression for the total amount that he would make is

100 + 5x

If he wants to make $300 or more this week, the expression would be

100 + 5x ≥ 300

5x ≥ 300 - 100

5x ≥ 200

x ≥ 200/5

x ≥ 40

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masya89 [10]
√64=8 ∛8=2 In the √, you find something that squares into the number In the ∛, you find something that cubes into the number
5 0
3 years ago
Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81+...
PilotLPTM [1.2K]
Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)

The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.

S=\dfrac13+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots
S=\dfrac13\left(1+\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\cdots\right)

We can then find the exact value of the sum:

\dfrac23S=\dfrac13\left(\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\dfrac{2^4}{3^4}+\cdots\right)

\impliesS-\dfrac23S=\dfrac13
\implies\dfrac13S=\dfrac13
\implies S=1

So the answer is B.
8 0
3 years ago
A man invests an amount, A, into a bank
alexandr402 [8]

Answer:

The initial amount, A is approximately $19,991.1.

Step-by-step explanation:

The initial amount the man invests in the bank = A

The amount the man deposits after 15 years = $10,000

The amount in the account after 50 years = $251,894.21

The amount of money after every 15 years = 2 × Initial amount

Therefore, we have;

The amount in the account 15 years after when the man deposits another $10,000 = 2 × A

Therefore the initial amount at the 15th year = 2·A + 10000

The

We have;

2·A = A·(1 + r)¹⁵

(1 + r)¹⁵ = 2

1 + r = 2^(1/15)

r = 1 - 2^(1/15) = 0.04729412282

Therefore, we have;

On the 50th year, 50 - 15 = 35 year

$251,894.21 = (2·A + 10000)·(1 + 0.04729412282)³⁵

A = ($251,894.51/((1 + 0.04729412282)³⁵) - 10000)/2 ≈ $19991.1

The initial amount, A ≈ $19991.1.

3 0
3 years ago
Round the decimals to the nearest whole number.<br> 7.48<br> 7.291<br> 7.604<br> 7.81
maks197457 [2]
7.48-7.00
7.291-7.00
7.604-8.00
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6 0
4 years ago
Jillian bought 3 pounds of apples for $3.09 per pound. she then bought 6 pounds of peanuts for $0.87 per pound. How much did Jil
Ilya [14]

Answer:

Jillian spent $14.49 altogether.

Step-by-step explanation:

Let a = pounds of apples, p = pounds of peanuts, and t = total cost

t = 3.09a + 0.87p

t = 3.09(3) + 0.87(6)

t = 9.27 + 5.22

t = 14.49

3 0
3 years ago
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