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Sergeu [11.5K]
3 years ago
7

Max has a monthly salary of $1,100 and also earns 7.5% commission on his sales. If Max had $43,000 in sales last month, what wer

e his total earnings for the month? a. $3,225 b. $4,050 c. $4,325 d. $5,150
Mathematics
2 answers:
erik [133]3 years ago
7 0
The answer would be c. first you would multiply 43,000 by 1.075 and subtract 43,000. next you would add 1,100 and you get 4,325 as your answer. hope this helps! :)
olga2289 [7]3 years ago
3 0

Answer:

The total earning of the month be $4325 .

Option (c) is correct.

Step-by-step explanation:

As given

Max has a monthly salary of $1,100 and also earns 7.5% commission on his sales.

If Max had $43,000 in sales last month .

7.5% is written in the decimal form.

=\frac{7.5}{100}

=0.075

Commission Max earns = 0.075 × Total sales of the last month

                                       = 0.075 × 43000

                                       = $ 3225

Total earning of a month = Monthly salary + Commission earning

                                          = $1100 + $3225

                                          = $ 4325

Therefore the total earning of the month be $4325 .

Option (c) is correct.

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Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please
Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

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3 years ago
Question 4 (1 point)
Nostrana [21]

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

f(x) = -16t^2 + 64t + 960 .....(1)

When it will hit the ground, f(x) = 0

-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

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Put t = 2 in equation (1)

f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

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