Question

Bob has two savings accounts. He deposited $150 more into account B than account A. After a period of time, account A has earned $30 in interest at 3% and account B has earned $70 in interest at a rate of 4%. 1.Write an equation to represent the situation. Explain each variable used. .
2.How much money did Bob initially deposit into each account? Solve the equation.

Answer 1

let a be the money initially deposited in A
b be the money initially deposited in B
t be the time

Answer 2

the 3 equations you get are:
\[\large b= a+150\]

and from i=p*r*t :
\[\large 70 = b \times 0.04 \times t\]\[\large 30 = a \times 0.03 \times t\]

Answer 3

what is the i=p*r*t there for

Answer 4

the general equation for simple interest that u use to get the other 2 equations

Answer 5

ok thx and now part 2 plzzz

Answer 6

not sure if all of that should be represented by a single equation...

for part 2.
divide the 2nd equation by the 3rd equation
\[\large {70 \over 30} = {b \times0.04\times t \over a \times0.03\times t }\]

Answer 7

\[\large \implies \frac 73= {4b \over 3 a}\]\[\large \implies 7a=4b\]\[\large \implies 7a=4\left( a+150 \right)\]

Answer 8

you can solve that equation ... to find a.

Answer 9

yes thx soooooooooooo much....if i send u another queation in a message will u answer it for me too

Answer 10

a=$200
b=$350

close this question and ask a new one... i'll see if i can answer

Answer 11

ok thx sooo much