Provide an appropriate response.Using A = P(1 + rt), the future value formula for a simple interest investment, derive the formula for t, the time (in years).

Fill in the blank(s) with the appropriate word(s).


t = (A - P/Pr)

Mathematics

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Solve the problem.An office desk costs $6000. After 5 years, it depreciates to a value of $3500. Assuming linear depreciation, answer the following.(i) Write a linear equation that gives the value of the desk, y, in terms of the number of years after it was purchased, x.(ii) Using the equation found in part a, find the value of the desk after 7 years.(iii) After how many years would the desk have no value?

A. (i) y = 6000 - 500x (ii) $3500 (iii) 12 years B. (i) y = 6000 - 400x (ii) $2500 (iii) 12 years C. (i)y = 6000 - 500x (ii) $2500 (iii) 12 years D. (i) y = 6000 + 500x (ii) $9500 (iii) 20 years

Mathematics

Sketch the graph of the function. Give the coordinates of the vertex.f(x) = x2 - 5

A. vertex (-5, 0)
 
B. vertex (5, 0)
 
C. vertex (0, 5)

D. vertex (0, -5)
 

Mathematics

Find the sum.

A. 340 B. 24 C. 248 D. Does not exist

Mathematics

Divide and simplify.-700 ÷ 

A. - 
B. - 200
C. - 
D. - 2450

Mathematics