Answer: Option A: 8.04% compounded daily
<u>Step-by-step explanation:</u>
![A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79](https://tex.z-dn.net/?f=A%20%3D%20P%5Cbigg%281%2B%5Cdfrac%7Br%7D%7Bn%7D%5Cbigg%29%5E%7Bnt%7D%5Cqquad%20where%5C%5C%5C%5C%5Cbullet%20A%20%3D%20%5Ctext%7Baccrued%20amount%20%28principal%20plus%20interest%20earned%29%7D%5C%5C%5Cbullet%20P%20%3D%20%5Ctext%7Bprincipal%20%28amount%20invested%29%7D%5C%5C%5Cbullet%20r%20%3D%20%5Ctext%7Brate%20%28in%20decimal%20form%29%7D%5C%5C%5Cbullet%20n%3D%5Ctext%7Bnumber%20of%20times%20compounded%20in%20one%20year%7D%5C%5C%5Cbullet%20t%3D%5Ctext%7Btime%20%28number%20of%20years%29%7D%5C%5C%5C%5C%5C%5COption%5C%20A%3A%5C%5CA%20%3D%20%5Ctext%7Bunknown%7D%5C%5CP%3D3000%5C%5Cr%3D8.04%5C%25%5Crightarrow%200.0804%5C%5Cn%3D%5Ctext%7Bdaily%7D%5Crightarrow%20365%5C%5Ct%3D10%5C%5C%5C%5CA%3D3000%5Cbigg%281%2B%5Cdfrac%7B0.0804%7D%7B365%7D%5Cbigg%29%5E%7B365%5Ctimes%2010%7D%5C%5C%5C%5C.%5C%20%3D%5C%24%206%2C702.79)
![Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37](https://tex.z-dn.net/?f=Option%5C%20B%3A%5C%5CA%20%3D%20%5Ctext%7Bunknown%7D%5C%5CP%3D3000%5C%5Cr%3D8.1%5C%25%5Crightarrow%200.081%5C%5Cn%3D%5Ctext%7Bquarterly%7D%5Crightarrow%204%5C%5Ct%3D10%5C%5C%5C%5CA%3D3000%5Cbigg%281%2B%5Cdfrac%7B0.081%7D%7B4%7D%5Cbigg%29%5E%7B4%5Ctimes%2010%7D%5C%5C%5C%5C.%5C%20%3D%5C%24%206%2C689.37)
Option A results in the greater amount of money.
Answer:
A.
Step-by-step explanation:
Physical scientists are often known as astronomers. Which is the study of space including planets, moons, comets etc.
Answer:
-8p^4+12p^3+4p^4-8p^2+3p^2
=-8p^4+4p^4+12p^3-8p^2+3p^2
=-4p^4+12p^3-5p^2
=p^2(-4p^2+12p-5)
note: If you have to solve for X
there are steps according to formula
Answer: $5,828.28
<u>Step-by-step explanation:</u>
Use the Compound Interest formula:
where
- A is the accrued amount (balance)
- P is the principal (initial amount invested)
- r is the interest rate (in decimal form)
- n is the number of times compounded each year
- t is the time of the investment (in years)
Given: P = 4,900
r = 3.5% (0.035)
n = 2
t = 5
![A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\](https://tex.z-dn.net/?f=A%3D4%2C900%5Cbigg%281%2B%5Cdfrac%7B0.035%7D%7B2%7D%5Cbigg%29%5E%7B2%285%29%7D%5C%5C%5C%5C%5C%5C.%5Cqquad%20%3D%204900%281.0175%29%5E%7B10%7D%5C%5C%5C%5C%5C%5C.%5Cqquad%20%3D%20%5Clarge%5Cboxed%7B5%2C828.28%7D%5C%5C)
Answer:
4.7
Step-by-step explanation:
Given equation y=4.7x
constants of proportionality = y/x
so, y/x = 4.7
therefore, answer is 4.7