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Natalija [7]
3 years ago
15

The sales manager of a company awarded a total of \$3000$3000 in bonuses to the most productive salespeople. The bonuses were aw

arded in amounts of \$250$250 or \$750$750. If at least one \$250$250 bonus and at least one \$750$750 bonus were awarded, what is one possible number of \$250$250 bonuses awarded?
Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Answer:

one possible number of bonus is 9.

Step-by-step explanation:

Let, the number of $250 bonus = x and number of $750 bonus = y.

We have that bonuses are given in amounts $250 and $750.

Since, the total bonus is $3000.

So, we get,

250x + 750y = 3000.

As, there is atleast one $250 bonus and atleast one $750 bonus.

Let, the minimum number of bonus of $750 be 1 i.e. y = 1.

Substitute in the equation gives,

250x + 750 × 1 = 3000

i.e. 250x = 3000 - 750

i.e. 250x = 2250

i.e. x = 9

Thus, the maximum number of $250 bonus are 9.

Hence, one possible number of bonus is 9.

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I’m really struggling! Please help me!!
Andrew [12]

Answer:

8.0

Step-by-step explanation:

The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:

tan(37) = \frac{opposite}{adjacent}

tan(37) = \frac{6}{x}

tan(37) evaluates to about , so we can plug it in and solve for x:

0.7536 = \frac{6}{x} \\0.7536x = 6\\x = 7.962

To the nearest tenth, x rounds to 8.0.

4 0
2 years ago
Given f(x)=x^2 and G(x)=x-1
matrenka [14]

9514 1404 393

Answer:

  g(f(7/3)) = 4 4/9

Step-by-step explanation:

  g(f(7/3)) = g((7/3)²) = g(49/9) = 49/9 -1 = 40/9

  g(f(7/3)) = 4 4/9

4 0
3 years ago
What is the average rate of change for this exponential function for the interval from x=2 to x=4?
mario62 [17]

The equation to calculate the average rate of change is: y/x

y = f(x2) - f(x1)x = x2 - x1

x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.

If we know this, the variables for this problem are assuming the function is 10(5.5)^x:

x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55

This means:y = 302.5  - 55 = 247.5x = 2 - 1 = 1

Remember: the equation for avg rate of change is y/x

So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)

5 0
3 years ago
Read 2 more answers
The complement of an angle measures 20 more than the angle. Find the number of degrees in the angle
padilas [110]
Let the measure of its complement be x°.
then, measure of angle = (x + 20)°. and measure of angle = (35 + 20)° = 55°
6 0
3 years ago
Read 2 more answers
A company that packages salted and unsalted mixed nuts received a complaint that claimed that the company’s salted packages cont
Eduardwww [97]

Answer:

H_0 : \mu_1 - \mu_2 = 0

H_a : \mu_1 - \mu_2 \ne 0

Step-by-step explanation:

Let the salted package be represented with 1 and the unsalted, 2.

So:

\mu_1: Mean of salted package

\mu_2: Mean of unsalted package

Considering the given options, the null hypothesis is that which contains =.

So, the null hypothesis is:

H_0 : \mu_1 - \mu_2 = 0

The opposite of = is \ne. So, the alternate hypothesis, is that which contains \ne

So, the alternate hypothesis is:

H_a : \mu_1 - \mu_2 \ne 0

4 0
3 years ago
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