The value of a brand new SUV is currently $15,400. After every year, the value of the SUV decreases by 10%.
a)First construct an exponential decay equation:

(A) V = 15400(1 – 10)t

(B) V = 15400(1 – 0.10)t

(C) V = 15400(0.10)t

(D) V = 15400(10 – 0.10)t

b) When will the value of the SUV be $12,465?

t =

(A) 1 year

(B) 2 years

(C) 3 years

(D) 4 years

b. 2 yrs

Step-by-step explanation:

-Given the initial value at time t=0 as $15,400 and the decay rate as 10%.

-The exponential decay is given by the formula;

We can therefore write our decay expression as;

Hence, our exponential decay equation is

b. Having determined the decay function as , we make $12465 our y value and solve for time, t;

Hence, the value of the car will be $12,465 after 2 years

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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