Question

A diamond ring was bought a number of years ago for R3 180,00. The value of the ring increases by 4% per year. Answer the following questions: a. Determine the exponential function that describes the value of the ring after t years. b. Determine the value of the ring nine years after it was bought Choose the correct answers. Select one: a. C. a. V(t) = 3 180,00(1,4)* b. a. V(t) = 3 180,00 × (1+0,04)* b. R4 352,04 d. a. V(t) = (3180,00 × 1,04)* b. R4 526,13 a. V(t) = 3 180,00 x 1,04 b. R4184,66 b. R4526,13​

Answer 1

a. The exponential function that describes the value of the ring after t years is:

V(t) = 3 180,00 × (1+0,04)^t

b. To determine the value of the ring nine years after it was bought, we can substitute t = 9 into the exponential function:

V(9) = 3 180,00 × (1+0,04)^9
V(9) = 3 180,00 × 1,04^9
V(9) = R4 526,13

Therefore, the correct answer is b. R4 526,13.