Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.
Part A
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.

Answer:

a. the approximate revenue from licenses in 1990 was $10,101.10 million.

b. The function is x = 10,101.10 + 499.79y

c. The revenue from licenses in 1999 is $14,599.21 million.

Step-by-step explanation:

The amount of revenue brought in by states from motor vehicle licenses increased at a relatively constant rate of 499.79 million dollars per year from 1990 to 2000. In 2000, the states brought in 15,099 million dollars in revenue from motor vehicle licenses.

a: what was the approximate revenue from licenses in 1990?

b: write an equation that gives the revenue as a function of the number of years since 1990.

c: find the revenue from licenses in 1999.

a: what was the approximate revenue from licenses in 1990?

This can be calculated using the following function:

x = a + by  ............................... (1)

Where;

x = Amount brought in 2000 = $15,099 million

a = Amount brought in 1990 = ?

b = Amount of relative constant rate of increase = $499.79 million

y = Number of years between 1990 and 2000 = 10

Substituting the values into equation (1) and solve for a, we have:

15,099 = a + (499.79 * 10)

a = 15,099 - 4,997.90

a = $10,101.10 million

Therefore, the approximate revenue from licenses in 1990 was $10,101.10 million.

b: write an equation that gives the revenue as a function of the number of years since 1990.

Using equation (1) in part a above, we substitute the values for a and b to obtain an equation that gives the revenue as a function of the number of years since 1990 as follows:

x = 10,101.10 + 499.79y ....................... (2)

c: find the revenue from licenses in 1999.

Since 1999 is 9th year from 1990, we therefore substitute y = 9 in equation (2) as follows:

x = 499.79 + 10,101.10y

x = 10,101.10 + 499.79(9)

x = 10,101.10 + 4,498.11

x = $14,599.21 million

Therefore, the revenue from licenses in 1999 is $14,599.21 million.

Answer:

.65 hope this helps :))

Answer: (5p^2+3)(p-2)

Step-by-step explanation:

In this problem, we need to write the factor form of expression .

5p^3-10p^2+3p-6

It can be done as follows :

5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)

Taking common form the terms as follows :

=p(5p^2+3)-2(5p^2+3)

It can be also written as :

=(5p^2 +3)(p-2)

Hence, the factored form of  is

Answer:

(p-2)(5p^2+3)

Step-by-step explanation:

see the image

Answer:

A=6143.54( to the nearest dollar A=6144)

Step-by-step explanation:

A=Pe^(r(t))

P=3100 r=0.036 t=19

A=3100e^0.036(19)

A=3100e^(0.684)

There will be $6070 money in the account of Juan after 19 years.

It is the interest on a loan or deposit calculated based on both the initial principal and accumulated interest from previous periods. It is calculated as:

[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]

where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of periods elapsed

We have

principal, P= $3100

Rate, r = 3.6%=[tex]\frac{3.6}{100}[/tex]

time, t = 19years

number of times interest compounded per year, n=1

Formula Used:

[tex]Amount=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the values in the above formula

[tex]Amount=3100(1+\frac{3.6}{100} )^{19}[/tex]

[tex]Amount=[/tex]$6070

Hence, there will be $6070 in account after 19 years.

Learn more about compound interest here:

https://brainly.com/question/19318210

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Answer:

Step-by-step explanation:

1cm every 4 seconds

15 cm per minute

Answer:

15

Step-by-step explanation:

1/15 of a minute per centimeter.

The speed is 15 centimeters per minute.

Answer:

X is 1 and y is 5

Step-by-step explanation:

Answer:

8r + 15 = x

Step-by-step explanation:

So being that they can form 6 rows but have 3 left over we know that there are more than three chairs in each row. So for example:

6r + 3 = x

or (x = chairs, r = chairs in the row)

8r + 15 = x

Answer:

80 jumps per minute

Answer:

D

Step-by-step explanation:

force = mass × acceleration

Answer: D

Step-by-step explanation:

Answer:

5,d

6,e

7,b

8,f

9,c

10,a

Answer:

Y = 2x-4

Step-by-step explanation:

the anwser is, A

Step-by-step explanation:

-4-0

2-0

Answer:

200

Step-by-step explanation:

Answer:

It is not equivalent.

Step-by-step explanation:

You have to expand the brackets :

(x-4)(x+3)

= x(x) + x(3) - 4(x) - 4(3)

= x² + 3x - 4x - 12

= x² - x - 12

Therefore, x² - x - 12 / (x-4)(x+3) is not equivalent to x² - 4x - 12.

Answer:

A) a ratio system

B)The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.

Step-by-step explanation:

I hope this helps :)

-ㄚㄩ尺丨

Answer:

384 16 times 24 is equal to 384

Step-by-step explanation:

You just have to multiply them. 16 times 24 is 384.

Answer:

( 4 , -3)

Step-by-step explanation:

Rate me branliest please :)

Answer:

[tex]36 + h = 45[/tex]

[tex]h = 9[/tex]

Step-by-step explanation:

Given

[tex]Total = 45[/tex]

[tex]Fall = 12[/tex]

[tex]Spring = 2 * Fall[/tex]

Required

Determine the equation to find the hours (h) left

The sum of the hours spent during the fall, spring and the hours left must be equal to the total hours.

In other word;

[tex]Fall + Spring + h = Total[/tex]

Substitute 2 * Fall for Spring

[tex]Fall + 2 * Fall + h =Total[/tex]

Substitute values for Fall and Total

[tex]12 + 2 * 12 + h = 45[/tex]

[tex]12 + 24 + h = 45[/tex]

[tex]36 + h = 45[/tex]

The above represents the equation,

Solving further for h

[tex]h = 45 - 36[/tex]

[tex]h = 9[/tex]

Hence, there are 9 hours left

Step-by-step explanation:

hugs did ta don't think she knows what that was you baby girl so ti you but I'm not sure what you mean 4buy64g7gugugguvbb Jo is my first year of my first time doing your opinion how are ilocano or so I will get you a quote please let your opinion how much I love sorry na please ❣️❣️ you ❣️❣️❣️❤️ you

Answer:

id say C if not sorry

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation: Thanks to the person  above me I got the  question right.

Answer:

X= 5

Explanation (Steps):

Step 1: Simplify both sides of the equation.

−3.4(x−2)=9.8−4x

(−3.4)(x)+(−3.4)(−2)=9.8+−4x(Distribute)

−3.4x+6.8=9.8+−4x

−3.4x+6.8=−4x+9.8

Step 2: Add 4x to both sides.

−3.4x+6.8+4x=−4x+9.8+4x

0.6x+6.8=9.8

Step 3: Subtract 6.8 from both sides.

0.6x+6.8−6.8=9.8−6.8

0.6x=3

Step 4: Divide both sides by 0.6.

0.6x0.6=3/0.6

x=5

9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

Starting with 16 gallons and ending with 1 gallon means that Kate has used 15 gallons of gas. Burning 3 gallons per hour means her travel time was ...

  (15 gal)/(3 gal/h) = 5 h

Kate was driving for 5 hours.

Answer:

44 yards

Step-by-step explanation:

Answer:

wouldn't you just do 14 times 8? If so it would be 112 yards (i might be wrong tho..)

Answer:

118 fluid ounces in all.

Step-by-step explanation:

The answer 118 because 14.75 multiplied by 8 is 118.

Answer:

Shoyo here!

Step-by-step explanation:

1.22222222222

hehe, that's a long number- have a nice day! <3

W33D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Assuming the dilatation is centred at the origin.

Then multiply each set of coordinates by the scale factor [tex]\frac{1}{3}[/tex] , thus

(- 12, 3 ) →  [tex]\frac{1}{3}[/tex](- 12), [tex]\frac{1}{3}[/tex] (3) ) → (- 4, 1 )

(0, 6 ) → ( [tex]\frac{1}{3}[/tex] (0), [tex]\frac{1}{3}[/tex] (6) ) → (0, 2 )

(3, - 3 ) → ( [tex]\frac{1}{3}[/tex] (3), [tex]\frac{1}{3}[/tex] ( - 3 ) ) → (1, - 1 )

Answer: See explanation

Step-by-step explanation:

Let the amount of money to be paid per month be represented by x. The information given in the question can then be formed into an equation as:

$40 + 12x = $460

From the equation, the amount that'll be paid monthly will be:

$40 + 12x = $460

12x = $460 - $40

12x = $420

x = $420/12

x = $35

The amount paid monthly is $35

Answer:

100

Step-by-step explanation:

5(23-3)

23-3= 20

5 × 20= 100

45

Step-by-step explanation:

45 +2=47

47-2=45

45×2=90

90÷2=45

Answer:

No

Step-by-step explanation:

Because the constant of proportionality is not equivalent to 20,13.

Can I have brainliest?