7(1 - 2x) = -x + 33
Distribute 7 inside the parentheses.
7 - 14x = -x + 33
Subtract 7 from both sides.
-14x = -x + 26
Add x to both sides.
-13x = 26
Divide both sides by -13.
x = -2
A parallel line would have the same slope as the given line so first you'd rewrite the equation y-x=5 to y=x+5 the slope is the x value so the slope is 1.
First account: $6500
Second account: $8500
Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500
First find the amount at the end of the deferment period using the formula of the future value of a compound interest
A=8,960×(1+0.2735÷12)^(6)
A=10,257.25
Use the amount we found as the present value to find the monthly payment by using the formula of the present value of an annuity ordinary to get
PMT=10,257.25÷((1−(1+0.2735
÷12)^(−12×6))÷(0.2735÷12))
=291.27 ....Answer
First calculate the circumference. Usually this is the diameter times pi, but since we are told to estimate pi, the circumference equals 56 * 22/7 or 176 feet.
In 4 minutes, 4 * 60 = 240 seconds pass. In this time, a 20 second period will occur 240/20 = 12 times.
So we know that the rider rotates 12 times and each rotation takes them 176 feet, meaning that they will travel 12 * 176 = 2112 feet
