Zack has two savings accounts with the total of $9,000. he withdew 10 percent from one and 60 percent from the other to buy his girlfriend an engagement ring. if the ring cost$2,175, find the remaining balance in each account.

The remaining balances in the first and second account are $5805 and $1020 respectively.

Explanation

Suppose, the initial balance in the first account was   dollar.

As the total amount in two accounts was $9000, so the initial balance in the second account was  

He withdrew 10% from the first and 60% from the second account to buy the ring which cost $2175. So, the equation will be......

So, the initial balance in the first account was $6450 and in the second account was ($9000 - $6450)= $2550

Thus, the remaining balance in the first account = 90% of $6450 =

and the remaining balance in the second account = 40% of $2550 =

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

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)