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Tcecarenko [31]

2 years ago

7

Chet is a salesman whose base pay plus commissions amounted to $48,560 last year. If his base pay was $22,380 and he made $74,80

0 in sales last year, what was his rate of commission? A. 65% B. 35% C. 30% D. 46%

2 answers:

Nataliya [291]2 years ago

6 0

For APEX your answer would be 35%

ICE Princess25 [194]2 years ago

4 0

Answer:

B. 35%

Step-by-step explanation:

We have been given that Chet is a salesman whose base pay plus commissions amounted to $48,560 last year. His base pay was $22,380 and he made $74,800 in sales last year.

First of all, we will find amount of commission by subtracting base pay from total salary.

$\text{Amount of commission}=\$48,560-\$22,380$

$\text{Amount of commission}=\$26,180$

Since Chet sold $74,800 worth items, so we need to find $26,180 is what percent of $74,800.

$\text{Rate of commission}=\frac{\$26,180}{\$74,800}\times 100$

$\text{Rate of commission}=0.35\times 100$

$\text{Rate of commission}=35\%$

Therefore, option B is the correct choice.

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Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a comma-separated list.)

Paladinen [302]

Answer:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

Step-by-step explanation:

Let the numbers be $x, y\ and\ z.$

Such that:

$x + y + z = 140$

Make z the subject

$z = 140 -x - y$

For their product to be maximum, we have:

$f(x,y,z) = xyz$

Substitute $z = 140 -x - y$ in $f(x,y,z) = xyz$

$f(x,y) = xy(140 - x - y)$

Open bracket

$f(x,y) = 140xy - x^2y - xy^2$

Differentiate w.r.t x and y

$f_x=140y - 2xy - y^2$

$f_y=140x - x^2 - 2xy$

Since the products are maximum, then $f_x = f_y = 0$

For $f_x=140y - 2xy - y^2$

$140y - 2xy - y^2 = 0$

Factorize:

$y(140 - 2x - y) = 0$

Split

$y = 0\ or\ 140 - 2x - y = 0$

Make y the subject

$y = 0\ or\ y = 140 - 2x$

For $f_y=140x - x^2 - 2xy$

$140x - x^2 - 2xy = 0$

---------------------------------------------------

Substitute y = 0

$140x - x^2 -2x*0 = 0$

$140x - x^2 = 0$

Factorize

$x(140 - x)= 0$

$x = 0\ or\ 140-x = 0$

$x = 0\ or\ x = 140$

---------------------------------------------------

Substitute $y = 140 - 2x$

$140x - x^2 - 2xy = 0$

$140x - x^2 - 2x(140 - 2x) = 0$

$140x - x^2 - 280x + 4x^2 = 0$

Re-arrange

$4x^2 -x^2 +140x - 280x = 0$

$3x^2 -140x = 0$

Factor x out

$x(3x - 140) = 0$

Divide through by x

$3x - 140 = 0$

$3x = 140$

$x = \frac{140}{3}$

Recall that: $y = 140 - 2x$

$y = 140 - 2 * \frac{140}{3}$

$y = 140 - \frac{280}{3}$

Take LCM

$y = \frac{140*3-280}{3}$

$y = \frac{140}{3}$

Recall that:

$z = 140 -x - y$

$z = 140 - \frac{140}{3} - \frac{140}{3}$

Take LCM

$z = \frac{3 * 140- 140 - 140}{3}$

$z = \frac{140}{3}$

Hence, the numbers are:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

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The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine tha

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Answer:

Step-by-step explanation:

The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.

The inequality can be used to determine the number of nights the Jones family could spend at the hotel is

750 ≥ 75 + 125h

This can also be written as

75 + 125h ≤ 750

We would solve the inequality for the value of h.

125h ≤ 750 - 75

125h ≤ 675

h ≤ 675/125

h ≤ 5.4

For any value of h greater than 5.4 hours, the inequality will not be true.

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Answer:

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Step-by-step explanation:

1) 3991 × 6% = 239.46 intrest rate of a year

2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs

3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs

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Answer:

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2 years ago

2. Given f(x) = 6(8 - x)+5

son4ous [18]

Answer:

a) Find the value of the function when x = -2

b) we get f(-2)=65

Step-by-step explanation:

We are given the function f(x)=6(8-x)+5

a) What does the notation f(-2) mean?

The notation f(-2) means that we have to put x = -2 in the given function of f(x) and find the value of the function when x = -2

b) What is the value of f(-2) ?

We need to find the value of f(-2)

$f(x)=6(8-x)+5$

Put x = -2

$f(-2)=6(8-(-2))+5\\f(-2)=6(8+2)+5\\f(-2)=6(10)+5\\f(-2)=60+5\\f(-2)=65$

So, we get f(-2)=65

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2 years ago