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Modeling the Cost of Copying
A company can rent a copy machine for five years from American Business Machines for $105 per month plus $0.08 per copy. The same copy machine can he purchased for $6500 with a per copy cost of $0.04 plus $25 per month for a maintenance contract. After five years the copier is worn out and worthless. To help the company make its choice. ABM sent the accompanying graph.
a) Write a formula for the total cost of renting and using the copier for five years in terms of the number of copies made during five years.
b) Write a formula for the total cost of buying and using the copier for five years in terms of the number of copies made during five years.
c) For what number of copies does the total cost of renting exceed S 10.000?
d) For what number of copies docs the total cost of buying exceed $10,000?
e) Use an absolute value inequality and solve it to find the number of copies for which the two plans differ by less than $1000.
f) For what number of copies is the cost of renting equal to the cost of buying?
g) If the company estimates that it will make between 40.000 and 50.000 copies in five years, then which plan is better?
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Chapter 1 Solutions
College Algebra (6th Edition)
- (±³d-12) (−7+ d) = |||- \d+84arrow_forward(z- = (-2) (→ Use the FOIL Method to find (z — · -arrow_forwardMODELING REAL LIFE Your checking account has a constant balance of $500. Let the function $m$ represent the balance of your savings account after $t$ years. The table shows the total balance of the accounts over time. Year, $t$ Total balance 0 1 2 3 4 5 $2500 $2540 $2580.80 $2622.42 $2664.86 $2708.16 a. Write a function $B$ that represents the total balance after $t$ years. Round values to the nearest hundredth, if necessary. $B\left(t\right)=$ Question 2 b. Find $B\left(8\right)$ . About $ a Question 3 Interpret $B\left(8\right)$ . b represents the total balance checking and saving accounts after 8 years the balance would be 16 / 10000 Word Limit16 words written of 10000 allowed Question 4 c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. A = 11998.70 SINCE 9000 is the principal ( 1+0.036/12)12 times 8 gives me aproxtimately 1997 14 / 10000 Word Limit14 words written of 10000 allowed Skip to…arrow_forward
- Listen MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function m represent the balance of your savings account after t years. The table shows the total balance of the accounts over time. Year, t Total balance 0 $2500 1 $2540 2 $2580.80 3 $2622.42 4 $2664.86 5 $2708.16 a. Write a function B that represents the total balance after t years. Round values to the nearest hundredth, if necessary. B(t) = 500 + 2000(1.02)* b. Find B(8). About $2843.32 Interpret B(8). B I U E T² T₂ c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. B I U E E T² T₂ A = 11998.70 SINCE 9000 is the principal (1+0.036/12)12 times 8 gives me aproxtimately 1997arrow_forwardWhat are the answers for star powerarrow_forwardThe recciprocal rulearrow_forward
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