Mathematics, 09.09.2019 17:30 alejachico2

Tavon has a gift card for $70 that loses $3 for each 30-day period it is not used. he has another gift card for $ 60 that loses $ 2.50 for each 30-day period it is not used. a. write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. b. what will the value of each card be when they have equal value? what will be the equation?

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Answer from: chancegodwin5

a. Equation: 70-3x=60-2.50x

The value of gift cards will be equal after 20 30-day-periods.

b. The value of each gift card when they have equal values will be $10.

Equation: y=70-3(20)

Step-by-step explanation:

Let be "x" the number of 30-day periods.

a. We know that Tavon has a gift card for $70 and it loses $3 for each 30-day period it is not used. This can be expressed as:

70-3x

The other gift card for $ 60 loses $ 2.50 for each 30-day period it is not used. Then:

60-2.50x

When the value of the gift cards are equal:

70-3x=60-2.50x

Solve for "x":

$70-3x=60-2.50x\\\\70-60=-2.50x+3x\\\\10=0.5x\\\\x=20$

Therefore, the value of the gift cards will be equal after 20 30-day-periods.

b. Let be "y" the value of each card (in dollars) when they have equal value. Choose one the expressions shown above. Let's pick the first expression 70-3x . Then:

y=70-3x

Substitute x=20 into the equation, then:

y=70-3(20)

Evaluate it in order to find what will be the value of each card when they have equal value:

$y=70-3(20)\\\\y=10\$$

Answer from: cld484

A. 70-3x=60-2.50x

Solution: x=20

B. The value of each card after twenty 30-day periods will be $10

Step-by-step explanation:

Let x be the number of 30-day periods.

First gift card:

Amount = $70

Lose for one 30-day period = $3

Lose for x 30-day periods = $3x

Left = $(70-3x)

Second gift card:

Amount = $60

Lose for one 30-day period = $2.50

Lose for x 30-day periods = $2.50x

Left = $(60-2.50x)

If the value of the gift cards are equal, then

70-3x=60-2.50x

Solve this equation. First, separate variables and numbers into different sides:

$-3x+2.50x=60-70\\ \\-0.50x=-10\\ \\0.5x=10$

Multiply by 10:

$5x=100\\ \\x=\dfrac{100}{5}=20$

If x = 20, then

$70-3x=70-3\cdot 20=70-60=10\\ \\60-2.50\cdot 20=60-50=10$

Answer from: Quest

the answer is (4,3)

since the rule for r0, 90º is (-y,x) and it was already applied to form the image, all you have to do is reverse the answer using this formula.

Arectangle is transformed according to the rule r0,90 the image of the rectangle has vertices locate

Answer from: Quest

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.

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Tavon has a gift card for $70 that loses $3 for each 30-day period it is not used. he has another gi...

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