Answer:
Step-by-step explanation:
Alright, lets get started.
For Sandy beach, function is given as
![g(t)=4sin(\frac{\pi t}{6})+5](https://tex.z-dn.net/?f=g%28t%29%3D4sin%28%5Cfrac%7B%5Cpi%20t%7D%7B6%7D%29%2B5)
The formula for period is = ![\frac{2\pi }{B}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7BB%7D)
Putting the value of B is formula, period is = ![\frac{2\pi }{\frac{\pi }{6} }](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7B%5Cfrac%7B%5Cpi%20%7D%7B6%7D%20%7D)
So, the period is = 12
hence the period of Sandy beach is 12
For Windy beach, the graph is given to find its period.
The distance between two concecutive nodes is = 8
Hence the period of Windy beach is = 8
So, the period of Sandy beach is higher than Windy beach.
So, waves at Sandy beach will take longer period tocomplete one cycle. : Option A : Answer
Hope it will help :)
Answer:
30960 Rs
Step-by-step explanation:
Total working hours = 4*5*8 +6*2= 160 + 12 = 172 =172*180 =30960 Rs.
Answer:
<em>The deposit required is $6633.62 and the interest earned is $366.38</em>
Step-by-step explanation:
Compound interest occurs when the interest earned is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
![{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20A%3DP%5Cleft%281%2B%7B%5Cfrac%20%7Br%7D%7Bn%7D%7D%5Cright%29%5E%7Bnt%7D%7D)
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
It's given the final amount A=$7700 after t=3 years of investment in an account that pays an APR of r=5%=0.05. Since the interests compound quarterly and there are 4 quarters in a year, then n=4.
To find the principal P, we solve the previous equation for P as follows:
![{\displaystyle P=A\left(1+{\frac {r}{n}}\right)^{-nt}}](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20P%3DA%5Cleft%281%2B%7B%5Cfrac%20%7Br%7D%7Bn%7D%7D%5Cright%29%5E%7B-nt%7D%7D)
Substituting:
![{\displaystyle P=7700\left(1+{\frac {0.05}{4}}\right)^{-4\cdot 3}}](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20P%3D7700%5Cleft%281%2B%7B%5Cfrac%20%7B0.05%7D%7B4%7D%7D%5Cright%29%5E%7B-4%5Ccdot%203%7D%7D)
![{\displaystyle P=7700\left(1+0.0125}\right)^{-12}}](https://tex.z-dn.net/?f=%7B%5Cdisplaystyle%20P%3D7700%5Cleft%281%2B0.0125%7D%5Cright%29%5E%7B-12%7D%7D)
P=$6633.62
The interest earned is:
I = A - P = $7700 - $6633.62 = $366.38
The deposit required is $6633.62 and the interest earned is $366.38
Answer: (0, 0) (1, 3) (2, 6)
<u>Step-by-step explanation:</u>
Choose a number for Xena, then multiply that number by 3 to calculate what Yolie would say:
![\begin {array}{c|l||c}\underline{Xena}&\underline{\quad Yolie\quad}&\underline{Xena, Yolie}\\ 0&3\times 0=0&(0,0)\\1&3\times 1=3&(1,3)\\2&3\times 2=6&(2,6)\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%20%7Barray%7D%7Bc%7Cl%7C%7Cc%7D%5Cunderline%7BXena%7D%26%5Cunderline%7B%5Cquad%20Yolie%5Cquad%7D%26%5Cunderline%7BXena%2C%20Yolie%7D%5C%5C%200%263%5Ctimes%200%3D0%26%280%2C0%29%5C%5C1%263%5Ctimes%201%3D3%26%281%2C3%29%5C%5C2%263%5Ctimes%202%3D6%26%282%2C6%29%5C%5C%5Cend%7Barray%7D)