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Your grandmother deposited some money on your saving account several years ago. If after 4 years, you had $489 and after 6 years, you had $567 on your account. How much did your grandmother deposit originally? Use the first point to find the original value.

Round your answer to two decimal places.

Respuesta :

copjoe

Answer:

12.45

Step-by-step explanation:

12.45-3

Answer:

$372

Step-by-step explanation:

If after 4 years, you had $489 and after 6 years, you had $567 on your account.

We first determine the slope of the points (4,489) and (6,567).

[tex]Slope, m=\frac{y_2-y_1}{x_2-x_1} \\=\frac{567-489}{6-2} \\=39[/tex]

Using the slope-Intercept form, y=mx+c and the first value $489

y=mx+c

489=39(4)+c

c=489-156=333

The equation of the line is:

y=39x+333

The Initial Deposit,y at x=1

y=39(1)+333

Initial Deposit =$372

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