GIANNA WAS AWARDED $37,000 FOR WINNING HER SCHOOL COMPETITION. SHE DECIDED TO INVEST HER WINNINGS IN TWO DIFFERENT ACCOUNTS ONE EARNING 4% the other earning 8%interest. If she collect $2480. Of annual interest income, how much did she invest in each account

 Gianna invested $12000 in first account and $25000 in second account .

Step-by-step explanation:

Given: Total principal amount = $37,000

Interest = $2480

For first year , interest = P x r  , where P= principal , r= rate of interest ( in decimal)

For first account ,  interest rate= 4% = 0.04

Let Principal = x

Interest = 0.04x

For second account ,  interest rate=  8% =0.08

Let Principal  = 37000-x

Interest = 0.08(37000-x)=  (0.08)(37000)- 0.08x

= 2960 - 0.08x

Now,

Also,  37000-x = 37000-12000 =25000

Hence, Gianna invested $12000 in first account and $25000 in second account .

0.32

step-by-step explanation:

2.24/7

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus