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lys-0071 [83]
3 years ago
14

Peter earns $32,000 per year plus a 2.5% commission on his jewelry sales. Find Peter's total salary for the year when his sales

are valued at $420,000.
Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

If Peter's sales for the year were 420,000, we can find the dollar amount his commission on that is by multiplying that number by .025, the percent commission he earns expressed as a decimal. That product is 10, 500. Add that to his base salary of 32,000 and his total salary for that year was 42,500

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The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the tri
son4ous [18]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
) For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.) x = (No Response) For which values of x
grigory [225]

Answer:

Check below, please

Step-by-step explanation:

Step-by-step explanation:

1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)

When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

 f'(x)=0\: at \:x=2, and\: x=-2

2. For which values of x is f '(x) positive?

Whenever we have  

 f'(x)>0

then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.

 f'(x)>0 \:at [-4,-2) \:and\:(2, \infty)

3. For which values of x is f '(x) negative?  

On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

 f'(x)

4.What do these values mean?

 f(x) \:is \:increasing\:when\:f'(x) >0\\\\f(x)\:is\:decreasing\:when f'(x)

5.(b) For which values of x is f ''(x) zero?

In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly

at x=-4 and x=4

6 0
3 years ago
A used car is priced at $2,695. If you borrow the money for the car, your payments will be $122 a month for 30 months. How much
Studentka2010 [4]

Answer: $965

Step-by-step explanation:

The used car is priced at $2,695.

If you borrow the money for the car, your payments will be $122 a month for 30 months. This means that the total amount of money that you would have paid at the end of 30 months at a rate of $122 per month is the amount paid per month multiplied by the total number of months. It becomes

Total payment = 122×30 = $3660

This means that you ended up paying higher than you would have paid if you paid cash.

Amount that you would have saved = amount paid over 30 months - cost of the car

Amount that you would have saved

= 3660 - 2695 = $965

7 0
3 years ago
I need help on this please
ziro4ka [17]

Answer:

See answers below

Step-by-step explanation:

From the given functions, the equivalent function for when x = 0 is -(x-1)²

h(x) = -(x-1)²

h(0) = -(0-1)²

h(0)= -(-1)²

h(0) = -1

when x = 2, the equivalent function is -1/2x - 1

h(x) =  -1/2x - 1

h(2) =  -1/2(2) - 1

h(2) = -1-1

h(2) = -2

when x = 5, the equivalent function is -1/2x - 1

h(x) =  -1/2x - 1

h(5) =  -1/2(5) - 1

h(5) = -5/2-1

h(5) = -7/2

3 0
3 years ago
If 20% of a school was made up of out-of-district students last year, but the number of out-of-district students increased by 50
Nadya [2.5K]

Answer:

<h2>30% is enrolled out-of-district.</h2>

Step-by-step explanation:

According to the word problem, the number is increased by 50%.

To increase a number by a percent, multiply the number and the percent.

We can do this by changing both percents to decimals.

To change a percent to a decimal, divide it by 100.

20/100 = 0.2

50/100=0.5

The number is INCREASED by 50% so 0.5 would become 1.5.

0.2 * 1.5=0.3

<h2>0.3 = 30%.</h2>
4 0
3 years ago
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