Answer:
$220.18
Step-by-step explanation:
The amount A(n) accrued for P dollars saved at r% annual interest for a period of n years compounded k times is derived using the formula:
![A(n)=P \left(1+\dfrac{r}{k}\right)^{nk}](https://tex.z-dn.net/?f=A%28n%29%3DP%20%5Cleft%281%2B%5Cdfrac%7Br%7D%7Bk%7D%5Cright%29%5E%7Bnk%7D)
In Jayden's case:
- A(n)=$400
- r=12%=0.12
- n=5 years
- k=12 Months
We want to determine the amount Jayden put in the savings account.
![400=P \left(1+\dfrac{0.12}{12}\right)^{12*5}\\400=P \left(1+0.01}\right)^{60}\\400=P \left(1.01}\right)^{60}\\P=\dfrac{400}{\left(1.01}\right)^{60}}\\](https://tex.z-dn.net/?f=400%3DP%20%5Cleft%281%2B%5Cdfrac%7B0.12%7D%7B12%7D%5Cright%29%5E%7B12%2A5%7D%5C%5C400%3DP%20%5Cleft%281%2B0.01%7D%5Cright%29%5E%7B60%7D%5C%5C400%3DP%20%5Cleft%281.01%7D%5Cright%29%5E%7B60%7D%5C%5CP%3D%5Cdfrac%7B400%7D%7B%5Cleft%281.01%7D%5Cright%29%5E%7B60%7D%7D%5C%5C)
![P=\$220.18](https://tex.z-dn.net/?f=P%3D%5C%24220.18)
Jayden earned $220.18 from doing odd jobs.
Answer:
84
Step-by-step explanation:
28*3
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Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
Answer:
It will take 30 minutes!
Hope this helps! :D
Step-by-step explanation:
9.35
= 9.00 + 0.35
= 9 + 7/20
= 180/20 + 7/20
= 187/20