Answer:
first, u need to know the formula for compound interest, which is:
![A = P(1 + \frac{r}{100})^{n}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7B100%7D%29%5E%7Bn%7D)
where A is the final amount
P- initial amount
r- percent compounded(interest)
and
n- number of years
so
we have
![A = 475(1 + \frac{3.8}{100})^{4}](https://tex.z-dn.net/?f=A%20%3D%20475%281%20%2B%20%5Cfrac%7B3.8%7D%7B100%7D%29%5E%7B4%7D)
3.8/100 = 0.038
1+0.038 =1.038
1.038^4 = 1.160885573136
475 * 1.160885573136 = 551.4206472396
approximately $551.42
Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
===========================================================
Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
Answer:
top one is 0.6 bottom one is 0.1