One hundred twenty and four tenths

The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th

natali 33 [55]

Answer: see Explanation

Step-by-step explanation:

THE GAINEY'S:

Recursive Formula :

A1 = $10

An = An-1 + $10

A2 = $10 + $10 = $20

Where n = day of the month

Explicit formula :

y = a + b(c - 1)

WHERE:

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

THE ARNOLD'S :

Recursive formula:

First day of the month (A1) = $10

An = 2(An-1)

A2 = 2(A1) = 2(10) = $20

A3 = 2(A2) = 2(20) =$40

Explicit formula:

y = a(b)^c

Where :

y = final amount

initial amount = a

Increment on initial amount = b

Day of the month = c

5 0

2 years ago

There a 12 pumpkins at the grocery store and you are going to select 3 to take home. How

Virty [35]

Hello do 9+46=684 there you go to find sum 69

3 0

2 years ago

1. The mark up price of a pair of shoes which costs $125. 00 is 8. 35%. A)What is the final price? If the tax is 6 1/2% How much

Xelga [282]

Answer:

Step-by-step explanation:

Remark

The wholesale price of the shoes is 125 dollars

The retailer marks it uu to 35% more to the wholesale price.

So the price is now 125 + 35% * 125 dollars

That amount is 125 + 35/100 * 125 = 125 + 43.75 = 168.75

The government wants its cut of 6.5% of the selling price

So the final price is 168.75 + 168.75 * 6.5/100

The final price is 168.75 + 10.97 = 179.72

Answer: A customer pays 179.72 dollars.

3 0

1 year ago

Solving linear equations

AlexFokin [52]

Answer:

(x, y ) = ( $\frac{1}{2}$ , $\frac{5}{2}$ )

Step-by-step explanation:

given the 2 equations

4x + 2y = 7 → (1)

y = 5x → (2)

Substitute y = 5x into equation (1)

4x + 2(5x) = 7

4x + 10x = 7

14x = 7 ( divide both sides by 14 )

x = $\frac{7}{14}$ = $\frac{1}{2}$

substitute this value into equation (2)

y = 5 × $\frac{1}{2}$ = $\frac{5}{2}$

4 0

2 years ago

Miguelle is deciding which type of heating system to put in his house. An oil system costs $2700 to install and

stellarik [79]

Answer: (9, 10800)

Step-by-step explanation:

We will first let x be the number of years and y be the total cost.

In that case, let's plug in the values for each into the equation y=mx+b, where m is the slope and b is the y-intercept.

The y-intercept will be the value we start with before any years pass, so it will be the installation cost. The slope is how fast the total cost will increase. Since the operation costs have to be added on every year, it will be our slope.

With that in mind, let's create both of our equations:

y = 900x + 2700 (Oil system)
y = 200x + 9000 (Solar system)

Since y is solved for in the first equation, we can substitute it into the second equation:

$900x + 2700 = 200x + 9000$

$700x + 2700 = 9000$ [Subtracting 200x from both sides]

$700x = 6300$ [Subtracting 2700 from both sides]

$x = 9$ [Dividing both sides by 700]

We can now substitute 9 for x in any equation and solve for y. Here I substituted it into the first one:

$y = 900(9) + 2700$

$y = 8100 + 2700$ [Multiplying]

$y = 10800$ [Adding]

Hence, the solution to this linear system is (9, 10800).

3 0

1 year ago