Suppose that g(x)=f(x-4) witch statement best compares the graph of g(x) with the graph of f(x)?

Katie works part-time at a Fallbrook riding stable she makes $5 an hour for exercising horses and $10 an hour for cleaning stall

Nookie1986 [14]

In order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.

Step-by-step explanation:

Let hours of exercising horses be x --> $5 per hour = 5x

Let hours of cleaning stalls be y --> $10 per hour = 10y

Total earning = $\geq 90$

Total hours = 12

Equation 1:

5x + 10y = $\geq 90$

Equation 2:

x + y $\leq 12$

1. Multiply equation 2 by -5

x + y $\leq 12$ (*-5)

5x + 10y = $\geq 90$

-5x - 5y $\leq -60$

5x + 10y = $\geq 90$

2. Solve

-5x + 5x -5y + 10y = -60 + 90

5y = 30

y = 6

x + y = 12

x + 6 = 12

x = 6

Therefore, in order to at least earn $90, Katie can work exercising horses for 6 hours and cleaning stalls for 6 hours.

Keywords: Simultaneous, hours, equations

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3 0

4 years ago

On January 1, 2006, you have $100 in a savings account that earns interest at a rate of 1% per month. On the last day of every m

WINSTONCH [101]

Answer:

The recursive rule for account balance at the beginning of the nth month will be given by $b_{1} = 100$ and $b_{n + 1} = b_{n} + 76$ where, n = 1, 2, 3, .....

Step-by-step explanation:

On January 1, 2006, I have $100 in a savings account that earns interest at a rate of 1% per month. On the last day of every month, I deposit $75 in the account, beginning in January.

So, at the end of the month of January, the added amount to the account is $75 and 1% of $100 i.e. 1$.

Then, total $(75 + 1) = $76 is being added at the end of each month.

So, the recursive rule for account balance at the beginning of the nth month will be given by $b_{1} = 100$ and $b_{n + 1} = b_{n} + 76$ where, n = 1, 2, 3, ..... (Answer)

3 0

3 years ago

Math help! Multiple choice!

valkas [14]

Number of thousands
85,290÷1,000
=85.29
monthly payment
85.29×8.05
=686.58

7 0

4 years ago

Answer ASAP!

Alex Ar [27]

I multiplied the dimensions and divided it by 75, got 8.75 but you need to round in this situation, so 9
hope this helps :)

6 0

3 years ago

(18x-44 )(8x-10) (13y-38) geometry

xenn [34]

Simplifying

18x + -44 = 13y + -38

Reorder the terms:

-44 + 18x = 13y + -38

Reorder the terms:

-44 + 18x = -38 + 13y

Solving

-44 + 18x = -38 + 13y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '44' to each side of the equation.

-44 + 44 + 18x = -38 + 44 + 13y

Combine like terms: -44 + 44 = 0

0 + 18x = -38 + 44 + 13y

18x = -38 + 44 + 13y

Combine like terms: -38 + 44 = 6

18x = 6 + 13y

Divide each side by '18'.

x = 0.3333333333 + 0.7222222222y

Simplifying

x = 0.3333333333 + 0.7222222222y

3 0

3 years ago