3. The new iPhone 12 Pro max costs $1099. On average, it depreciates in value by about 30% each year. Which function below best represents the value of the iphone, V(t), where t is the number of years?
(1) V(t) = 1099(1.3)
(3) V(t) = 1099(1.03)
(2) V(t) = 1099(0.70) (4) V(t) = 1099(0.97)

I believe the answer is 3, V(t) = 1099(1.03)

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step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)