Brian has money in two savings accounts. one rate is 5% and the other is 10%. if he has $900 more in the 10% account and the total interest is $273, how much is invested in each savings account?

Answers:

1220 dollars invested at 5% interest rate.

2120 dollars invested at 10% interest rate.

Explanation:

Label the two accounts A and B.

Account A earns 5% interest

Account B earns 10% interest

Brian invests x dollars in account A and x+900 dollars in account B.

Using the formula, i = P*r*t, we can compute the simple interest for both accounts

Start with account A over the course of t = 1 year.

i = P*r*t

i = x*0.05*1

i = 0.05x

then compute the interest for account B (use t = 1 also).

i = P*r*t

i = (x+900)*0.10*1

i = 0.10x + 90

Over the course of 1 year, Brian earns 0.05x dollars in interest with account A and also 0.10x+90 dollars in interest with account B.

In total he earns 0.05x+0.10x+90 = 0.15x+90 dollars in interest.

We're told this amount of interest he earns is $273, so,

0.15x+90 = 273

0.15x+90-90 = 273-90

0.15x = 183

0.15x/0.15 = 183/0.15

x = 1220

This means $1220 was invested at 5% interest.

x+900 = 1220+900 = 2120

and $2120 was invested at 10% interest.

Check:

If you invested $1220 in account A, then you earn

i = P*r*t

i = 1220*0.05*1

i = 61 dollars in interest

If you invest $2120 in account B, then you earn

i = P*r*t

i = 2120*0.10*1

i = 212 dollars in interest

So you get a total of 61+212 = 273 dollars in interest from both accounts. This confirms the two answers.

i think 1: 2

step-by-step explanation:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.