College Algebra

Question

You are choosing between two health clubs. Club a offers membership for a fee of $27 plus a monthly fee of $17. Club beat offers membership for a fee of $18 plus a monthly fee of $20. after how many months will the total cost of each health club be the same? what will be the total cost for each club?

You invested $27,000 into accounts paying 8% and 9% annual interest respectively. if the total interest earned for the year was 2,360 how much was invested at each rate?

The length of a new rectangular playing field is 6 yards longer than quadruple the width. if the perimeter of the rectangle playing field is 502 yards what are its dimensions?

City cabs charges $1.25 pickup fee in $1.50 per mile traveled. Diego's fair for a crosstown cab ride is $13.25 how far did he travel in the cab?

Z=hq for h

H=____

W=Uar for U

U=____

X=3πa for a

A=____

A=ud^2 for u

U=____

Answer 1

27 +17m = 18 +20m

3m = 9

m =9/3 = 3 months and the costs are each the same = $78

.09x + .08(27000-x) = 2360

.09x - .08x= 2360 - .08(2700) = 2360 - 2160 = 200

.01x = 200

x = $20,000 invested at 9%

27000-x = $7,000 invested at 8%

.09(20000) + .08(7000) = 1800+560 = 2360

L=6+4W

2L+2W =502

L+W = 251

6+4W+W = 251

5W = 251-6 = 245

W = 245/5 = 49 yards wide

L = 6+4(49) = 202 yards long

2(202+49) = 2(251) = 502 yards perimeter

1.25 + 1.50m = 13.25

1.5m = 13.25-1.25 = 12

m = 12/1.5 = 8 miles

1.25+1.5(8)= 1.25+12 = 13.25

Z=HQ

H = Z/Q

W=Uar

U = W/ar

X=3piA

A = X/3pi

A=Ud^2

U = A/d^2