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Mrrafil [7]
3 years ago
9

(05.01)Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers th

roughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business: Year Lawn Care Fee 2000 $750 2010 $1350 A. What is the rate of change and initial value for Elliot’s business? How do you know? B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Mathematics
2 answers:
sergiy2304 [10]3 years ago
8 0
Rate of change = (1350 - 750)/(2010 - 2000) = 600/10 = $60
Initial value = $750
Equation is y = 60x + 750; where y is the amount charged to customer and x is the number of years from 2000.
kodGreya [7K]3 years ago
6 0

Answer:

Rate of change: 60

Initial value: $750

You divided the rate of change and lawn care fees by number of years.  

y=60x+750.

I know this is SUPER late but i want to post this here to help anyone else out who may need help! :) XD



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Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
alexdok [17]

Answer:

The first digit of a two digit number can be any of digits 1 - 9. It cannot be 0 though. Therefore there are 9 possible digits for the first place.

There are 5 possible digits for the second position. The two digit number has to be odd and therefore the final digit must be 1,3,5,7 or 9

Therefore for each and every one of the nine first digits there are 5 digits that the second can be.

Therefore ANSWER = 9 * 5 = 45 possible permutations.

2. The largest two digit number = 99

Subtract 57 and you get 42

ANSWER = 42

The forty two numbers are 58 ,59, 60, 61......98, 99

7 0
3 years ago
Read 2 more answers
Which exponential function grows at a faster rate than the quadratic function for zero is less than X is less than three
Ann [662]

Answer:

43.35 years

why?

From the above question, we are to find Time t for compound interest

The formula is given as :

t = ln(A/P) / n[ln(1 + r/n)]

A = $2500

P = Principal = $200

R = 6%

n = Compounding frequency = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06/1)] )

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06)] )

t = 43.346 years

(credit to VmariaS)

5 0
2 years ago
F(x) = 9x + 3<br>g(x) = 3x + 1<br>Find:<br>(f/g)(x)​
igomit [66]

Answer:

<h2>(f/g)(x) = 3</h2>

Step-by-step explanation:

f(x) = 9x + 3

g(x) = 3x + 1

To find (f/g)(x) divide f(x) by g(x)

That's

(f/g)(x) =  \frac{9x + 3}{3x + 1}

Factorize f(x)

f(x) = 9x + 3 = 3(3x + 1)

So we have

(f/g)(x) =  \frac{3(3x + 1)}{3x + 1}

Simplify

We have the final answer as

<h3>(f/g)(x) = 3</h3>

Hope this helps you

4 0
3 years ago
A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is
Vikki [24]

Answer:

The diameter is twice that, or approx. 7.90 units.

Step-by-step explanation:

the equation for the volume of a cylinder of radius r and height h is

V = πr²h.  Here we need to calculate the diameter after having found the radius.  Solving V = πr²h for r², we get:

           V

r² = -----------

         πh

Substituting the given values, we obtain for r² the following:

         145 units³

r² = ------------------------  = 15.6 units²

       3.14159(5 units)

Taking the square root of both sides, we get:

r = √15.60, or approx. 3.95 units.

The diameter is twice that, or approx. 7.90 units.

3 0
3 years ago
Read 2 more answers
Would someone mind explaining this?
Nesterboy [21]

Answer:

3?

Step-by-step explanation:

i think that because it's multiplying by 3.

3*3= 9

5*3= 15

7*3= 21

9*3= 27

This is the only way i could think of helping in some sort of way! I'm sorry if it's wrong! (´。_。`)

Have a great day! (´。_。`)  /  (ノ◕ヮ◕)ノ*:・゚✧

( ゚д゚)つ Bye

8 0
3 years ago
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