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gladu [14]
3 years ago
11

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid

$1,600. Two months ago, she had $12,000 in sales and was paid $1,400. This month she sold $11,000 worth of goods. How much will she be paid?
Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer:

Total income= $1,350

Step-by-step explanation:

<u>First, we need to calculate the fixed income and variable income. We will use the high-low method:</u>

<u></u>

Variable income sales per dollar= (Highest income - Lowest income)/ (Highest sales - Lowest sales)

Variable income sales per dollar= (1,600 - 1,400) / (16,000 - 12,000)

Variable income sales per dollar= $0.05

Fixed income= Highest income  - (Variable income sales per dollar * Highest sales)

Fixed income= 1,600 - (0.05*16,000)

Fixed income= $800

Fixed income=  Lowest income - (Variable income sales per dollar* Lowest sales)

Fixed income= 1,400 - (0.05*12,000)

Fixed income= $800

<u>Now, for $11,000 sales:</u>

Total income= 800 + 0.05*11,000

Total income= $1,350

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7 0
3 years ago
Read 2 more answers
Roberta has $10,540 to invest. She plans to invest her money in certificates of deposit (CDs) that have 2.1% interest, a stock p
ira [324]

Answer:

The amount invested in CDs is  $1,340

The amount invested in the stock portafolio is $6,900

The amount invested in the saving accounts is $2,300

Step-by-step explanation:

Let

x ---->the amount invested in CDs at 2.1%

y ---> the amount invested in the stock portfolio at 2.5%

z ---> the amount invested in the savings account at 1.5%

x+y+z=10,540 ----> equation A

z=\frac{1}{3}y ----> equation B

substitute equation B in equation A

x+y+\frac{1}{3}y=10,540

x+\frac{4}{3}y=10,540

x=10,540-\frac{4}{3}y ----> equation C

we know that

The total interest earned by the three amount must be equal to $231.69

so

0.021x+0.025y+0.015z=231.69 ----> equation D

substitute equation B and equation C in equation D

0.021(10,540-\frac{4}{3}y)+0.025y+0.015(\frac{1}{3}y)=231.69

solve for y

221.34-0.0315y+0.025y+0.005y=231.69

0.0015y=231.69-221.34

0.0015y=10.35

y=\$6,900

<em>Find the value of x</em>

x=10,540-\frac{4}{3}(6,900)

x=\$1,340

<em>Find the value of z</em>

z=\frac{1}{3}(6,900)

z=\$2,300

7 0
4 years ago
Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores. Sunglass House
mariarad [96]

Answer:

Based on the calculations, the store with the better buy is The Eyewear Shoppe

Step-by-step explanation:

Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.

For The Eyewear Shoppe:

The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.

Based on this promotion, you can get 2 sunglasses for $60

For Sunglass House

Sunglass House sells the sunglasses go 20% off the $40 retail price.

A Sunglass = $40 - ( 20%× $40)

= $40 - $8

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Two sunglasses will cost = $32 × 2

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Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe

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3 years ago
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icang [17]

Answer:

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