Hattie had $3,000 to invest and wants to earn 10.6% interest per year. she will put some of the money into an account that earns 12% per year and the rest into an account that earns 10% per year. how much money should she put into each account?

The amount of money that should be invested at the rate of 12% is $900 and the amount money that should be invested at the rate of 10% is $2,100

Step-by-step explanation:

Let

x ------> the amount of money that should be invested at the rate of 12%

3,000-x -----> the amount money that should be invested at the rate of 10%

we know that

The sum of the interest on each of the accounts must be equal to the total interest.

Solve for x

therefore

The amount of money that should be invested at the rate of 12% is $900 and the amount money that should be invested at the rate of 10% is $2,100

1. she sold more on day 2 because if you turn .85 into a fraction{85/100} and you give 7/9 and 85/100 the same denominator{180} you can see which one has the bigger numerator and that one will be the most sold.

2. yes it is in simplest form, because if you look at 38 and 53 's greatest common factor, you cant find one so you cant reduce it

3. no, this is not a prime factorization because the numbers are not all prime numbers, the correct prime factorization is:   2 x 5 x 2

4.   in 12 days he will run and play trumpet again

work 4 4: 123123123123

                123412341234     in 12 days he will play the trumpet and run on the same day

step-by-step explanation:

i am normally pretty good at math, im new to this site, but im 1 grade ahead in my math, i luv math try my answers out, see how they work