A $9,000 principal is invested in two accounts, one earning 7% interest and another earning 9% interest. If the total interest for the year is $782, then how much is invested in each account?

The amount invested at 7% is $1,400 and the  amount invested at 9% is $7,600

Step-by-step explanation:

Let

x ----> amount invested at 7%

(9,000-x) -----> amount invested at 9%

we know that

The interest earned by the amount invested at 7% plus the interest earned by the amount invested at 9% must be equal to $782

so

The linear equation that represent this problem is

solve for x

therefore

The amount invested at 7% is $1,400 and the  amount invested at 9% is $7,600

took the test it's 94

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!