Ten years ago a collector paid $2,000 for a Cal Ripkin autographed
baseball. Today it is worth $24,000. Find the annual rate of appreciation

Given:

Given that ten years ago a collector paid $2000 for a Cal Ripkin autographed baseball. Today it is worth $24,000.

We need to determine the annual rate of appreciation.

Rate of appreciation:

The rate of appreciation can be determined using the formula,

where A is the total amount,

P is the initial amount,

t is the time in years and

r is the rate of appreciation.

Substituting A = 24,000, P = 2000 and t = 10, we get;

Simplifying, we get;

Thus, the rate of appreciation is 28.209%

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

answer: 5100 just subtract

step-by-step explanation: