Answer: i think the answer 12
Step-by-step explanation:
Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:

And we want to find the remainder after it is divided by the binomial:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:

The remainder will be 6.
Answer:
Sarah will have $200 after 3 weeks
Step-by-step explanation:
amount saved at the start = $20
amount saved per week = $10
number of weeks = 3
∴ Total savings from allowance after 3 weeks = 10 × 3 = $30
Amount received in birthday money = $150
∴ Total amount saved after 3 weeks = amount saved at the start + Total savings from allowance after 3 weeks + Amount received in birthday money
Total amount saved after 3 weeks = 20 + 30 + 150 = $200
Therefore Sarah will have $200 after 3 weeks
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
Answer:
12,741.66666
Step-by-step explanation:
12750 - 25/3%
= 12,741.66666