Answer:
25
Step-by-step explanation:
b=4x+1 h=x+1 A=175
A=bh
Substitute: 175=(4x+1)(x+1)
Expand: 175=4x^2+5x+1
Subtract 175
4x^2+5x-174=0
Solve w/quadratic formula
(-5 <u>+</u> sqrt(25+2784))/8
Simplify: x=6 or -29/4
Distance is positive, so x=6
4x+1=4*6+1=25
Answer:
21 months
Step-by-step explanation:
1 month: $25.00 2 month: $50.00 3 month: $75.00 4 month: $100.00 5 month: $125.00 6 month: $150.00 7 month: $175.00 8 month: $200.00 9 month: $225.00 10 month: $250.00 11 month: $275.00 12 month: $300.00 13 month: $325.00 14 month: $350.00 15 month: $375.00 16 month: $400.00 17 month: $425.00 18 month: $450.00 19 month: $475.00 20 month: $500.00 21 month: $525.00
By the 21st month, Sam would have paid $525 making the flat fee a better choice.
(x^2+5x-36)/(x^2-16)
=(x^2+9x-4x-36)/(x^2-4^2)
=x(x+9)-4(x+9)/(x+4)(x-4)
=(x-4)(x+9)/(x+4)(x-4)
=x+9/x+4
Hope this helps.