Answer: he invested $46062.5 at 6% and $23031.25 at 10%
Step-by-step explanation:
Let x represent the amount which he invested in the account paying 6% interest.
Let y represent the amount which he invested in the account paying 10% interest.
He puts twice as much in the lower-yielding account because it is less risky.. This means that
x = 2y
The formula for determining simple interest is expressed as
I = PRT/100
Considering the account paying 6% interest,
P = $x
T = 1 year
R = 6℅
I = (x × 6 × 1)/100 = 0.06x
Considering the account paying 10% interest,
P = $y
T = 1 year
R = 10℅
I = (y × 10 × 1)/100 = 0.1y
His annual interest is $7370dollars. it means that
0.06x + 0.2y = 7370 - - - - - - - - - -1
Substituting x = 2y into equation 1, it becomes
0.06 × 2y + 0.2y = 7370
0.12y + 0.2y = 7370
0.32y = 7370
y = 7370/0.32
y = $23031.25
x = 2 × 23031.25
x = 46062.5
Answer:x=11
Step-by-step explanation:
2x-13=9
2x=9+13
2x=22
x=22/2
x=11
hope this helps :)
Answer:
1. Combine the constant terms by adding 7 and –2.
4. Combine the like variable terms by adding the coefficients
5. 5 k and negative 3 k are like variable terms
6.The constants 7 and –2 are like terms.
7. The equivalent expression is 5 + 2 k + n.
Answer: 29/28
Step-by-step explanation:
-2/7 x (-3 5/8)
= -2/7 x -29/8
= 2/7 x 29/8 = 1/7 x 29/4
= 29/28
Distance = speed * time
d = 40(2)
d = 80 miles
