In this question give all answers to two decimal places. Carlos decides to take out a loan of 20,000 Peruvian Soles (SOL) to buy a car. His bank offers two options to finance the loan. Option A: five year loan with an annual interest rate of 12.8% compounded quarterly. No deposit required.
Option B: five year loan with an annual interest rate of r% compounded monthly. Terms of the loan require a 10% deposit and monthly repayments of SOL 400.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c