Answer:
$3,000 invested at 6%
$7,000 invested at 10%
Step-by-step explanation:
Maria had total $10,000 to invest.
Let x be the amount that Maria invested initially at 6% interest rate.
0.06x
Then she invested the remaining amount at 10% interest rate.
0.10(10,000 - x)
She received a total of $880 in interest.
0.06x + 0.10(10,000 - x) = 880
0.06x + 1000 - 0.10x = 880
-0.04x = 880 - 1000
-0.04x = -120
0.04x = 120
x = 120/0.04
x = $3,000
This is the amount that Maria invested initially at 6% interest rate.
The remaining amount is
10,000 - 3,000
$7,000
This is the remaining amount that she invested at 10% interest rate.
Since the only two corresponding side you have are 10 units and 4 units, you can divide these two numbers to get the scale factor.
10÷4=2.5
next you find the sides corresponding to X Y and Z and if it is on the bigger figure you divide, if it is on the smaller side you multiply
X corresponds with 5 (so ×2.5)
Y corresponds with 8 (÷2.5)
Z corresponds with 10 (÷2.5)
final answer is X=12.5 Y=3.2 Z=4
I try to explain the question and give the answer, I hope this helps!
<span>Yes it is true that a continuous function that is never zero on an interval never changes sign on that interval. This is because of ever important Intermediate Value Theorem.</span>
Answer:
$8.5 per hour
Step-by-step explanation:
Number of overtime hours = 4 hours
Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours
Total amount earned = $391
Let Hourly pay = x
Overtime pay = 1 1/2x = 3/2x
Therefore ;
40x + (4*3/2x) = 391
40x + 6x = 391
46x = 391
x = 391 / 46
x = 8.5
Hourly pay = $8.5 per hour
Answer:
183
Step-by-step explanation:
i cant draw an actual model but 549/3 = 183
