Eric borrowed a total of $3000 from two student loans. One loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation. If the interest he owed after 2 years was $215, determine the amount of principal for each
loan.

$ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.

Step-by-step explanation:

Given that Eric borrowed a total of $ 3000 from two student loans, and one loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation, if the interest he owed after 2 years was $ 215, to determine the amount of principal for each loan, the following calculation must be performed:

4 x 2 = 8

3.5 x 2 = 7

1500 x 0.08 + 1500 x 0.07 = 225

1400 x 0.08 + 1600 x 0.07 = 224

100 x 0.08 + 2900 x 0.07 = 211

500 x 0.08 + 2500 x 0.07 = 215

Therefore, $ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional