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:
12
Step-by-step explanation:
Answer: her sales last week was $4300.
Step-by-step explanation:
Let x represent her her sales in a week.
Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. This means that the commission she gets if she makes sales of $x is 0.0825x
She also earns a base salary of $675 per week. The expression for the total earnings for a week in which she made sales of $x would be
0.0825x + 675
if her total earnings for last week were $1,029.75, it means that
0.0825x + 675 = 1029.75
0.0825x = 1029.75 - 675
0.0825x = 1029.75 - 675
0.0825x = 354.75
x = 354.75/0.0825
x = $4300
Answer:
I tried my best to made the graph
3/-1/2
2/0/1
4/-2/3
2/0/1
1/+1/0
0/+2/1
Greetings!
When reflecting a shape over the x-axis, you simply change the number to its opposite positive/negative equivalent.
This means that the new co-ordinates would be (-5,1) , (-5,4) and (-2,4).
Hope this helps!
