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3 years ago

I need help with this math problem please

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

65 -3x = 55 -2.5x
20 periods
$5

Step-by-step explanation:

The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...

65 -3x

The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...

55 -2.5x

The equation that can be used to find x that makes the values equal is ...

65 -3x = 55 -2.5x

The solution can be found by adding 3x-55 to both sides of this equation.

10 = 0.5x

Multiplying by 2 gives ...

20 = x

After 20 30-day periods. the cards will have the same value.

The value after 20 periods is ...

65 -3×20 = 65 -60 = 5

Both cards will have a value of $5 when they have the same value.

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Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

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