Stacey collects baseball cards and recently acquired the rookie cards of a pitcher and a catcher who are being inducted into the baseball hall of fame. the current value of the pitcher's card is $44, and the current value of the catcher's card is $38. each card is expected to increase in value by 3% per year. which function can stacey use to predict the combined value of the two cards, v(x), in x years?

The combined value of the two cards is .

Step-by-step explanation:

The exponential growth function is defined as

Where, P₀ is initial value, r is growth rate and x is number of years.

The initial value of pitcher's card is $44 and the value of card is expected to increase by 3% per year. The value of pitcher's card after x years is

The initial value of catcher's card is $38 and the value of card is expected to increase by 3% per year. The value of catcher's card after x years is

The combined value of two cards is defined as

Therefore, the combined value of the two cards is .

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36