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castortr0y [4]
3 years ago
14

A salesperson’s commission rate is 4%. What is the commission from the sale of $39,000 worth of furnaces? Suppose sales would do

uble. What would be true about the commission?

Mathematics
1 answer:
kenny6666 [7]3 years ago
3 0

Answer:

The earnings will double

Step-by-step explanation:

Step one:

given data

we are told that the sales person's earnings is 4% of the sales made.

given that the sales made is $37,000 worth of furnaces.

Step two:

we want to find 4% of $37,000

=4/100*37000

=0.04*37000

=1480

hence for $37,000 the earning will be $1480.

Now suppose sales is doubled that is 37000*2= 74000

we want to find 4% of $74,000

=4/100*74000

=0.04*74000

=2960.

the earnings is $2960.

So if sales doubles the earnings will double

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The difference between the product of 4 and a number 6
Mice21 [21]

Answer:

If we call our unknown value x, then we can say that

The "product of 4 and a number" is 4x

The "difference between" 4x and 6 is 4x - 6

Step-by-step explanation:

8 0
3 years ago
27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8
Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

4 0
3 years ago
Jacob leaves his summer cottage and drives home. After
krok68 [10]

Answer:

A linear relationship can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (a, b) and (c, d) then the slope can be written as:

a = (a - c)/(b - d)

Here y will represent the distance between Jacob and his house, and the variable x represents the time that he has ben driving.

In this case, we know that after driving for 5 hours, he is 112km from home.

Then we can write this point as (5h, 112km)

We also know that after 7 hours he is 15km from home.

Then we can write this point as (7h, 15km)

Then the slope of this function will be:

a = (15km - 112km)/(7h - 5h) = -48.5 km/h

Then the equation is:

y = -(48.5 km/h)*x + b

To find the value of b, we can replace the values of one of the points, for example in the point (7h, 15km)

This means that we need to replace x by 12h, and y by 15km, then we get:

15km = -( 48.5 km/h)*7h + b

15km + ( 48.5 km/h)*7h = b = 354.5 km

then the equation will be:

y = (-48.5 km/h)*x + 354.5 km

Now we want to answer: How long had Jacob been driving when he was 209 km from  home?

Then we need to only replace y by 209km, and solve for x:

209km = (-48.5 km/h)*x + 354.5 km

209km - 354.5 km = (-48.5 km/h)*x

-145.5km =  (-48.5 km/h)*x

-145.5km/( -48.5 km/h) = x = 3h

So he is 209km away from his home after driving for 3 hours.

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m_a_m_a [10]
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7 0
3 years ago
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2/3y + v = s solve for y
DanielleElmas [232]

Answer:

y = \frac{3s-3v}{2}

Step-by-step explanation:

Given

\frac{2}{3} y + v = s ( subtract v from both sides )

\frac{2}{3} y = s - v

Multiply through by 3 to clear the fraction

2y = 3s - 3v ( divide both sides by 2 )

y = \frac{3s-3v}{2}

3 0
3 years ago
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