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.
bangles scored 22 pts but don't know how much the ravens scored
Answer:
50 degrees
Step-by-step explanation:
If angle L = 65 then the top angle for the triangle LMJ has to be 25 degrees as M is a right angle (or at least has to be for this problem to be possible)
the math to figure it out is 90+65+x=180 <-- due to triangles are 180 degrees inside which simplifies to 25 after that you just have to at 25 to itself 25+25 to get 50 which is the angle of J
Answer:
A. 4.4 units²
Step-by-step explanation:
Area of a Triangle: A = 1/2bh
sin∅ = opposite/hypotenuse
cos∅ = adjacent/hypotenuse
Step 1: Draw the altitude down the center of the triangle
- We should get a perpendicular bisector that creates 90° ∠ and JM = KM
- We should also see that we use sin∅ to find the <em>h</em> height of the triangle and that we use cos∅ to find length of JM to find <em>b</em> base of the triangle
Step 2: Find <em>h</em>
sin70° = h/3.7
3.7sin70° = h
h = 3.47686
Step 3: Find <em>b</em>
cos70° = JM/3.7
3.7cos70° = JM
JM = 1.26547
Step 4: Find entire length base JK
JM + KM = JK
JM = KM (Definition of Perpendicular bisector)
2(JM) = JK
2(1.26547) = 2.53095
b = 2.53095
Step 5: Find area
A = 1/2(3.47686)(2.53095)
A = 4.39988
A ≈ 4.4
Answer:
4x - 6
Step-by-step explanation:
6 less is -6
product of four and a number x is 4x