Sam and Andre have an 8 to 3 ratio
That is multiplied 61 times
Sam had 488
Andre had 183
Jimmy had 5/8s of Sam or 305
Jimmy received 122 more than Andre
Answer:
Given:
Principal= $5,000
After 3 years, Amount= $7,100
After 8 years, Amount= $10,350
Step-by-step explanation:
Interest after 3 years= $7,100- $5,000
=$2,100
Interest in last 5 years= $10,350- $7,100
=$ 3,250
Difference between first 3 years and last 5 years= $3,250- $2,100
=$1,150
Amount= Principal*![(1+r/100)^{t}](https://tex.z-dn.net/?f=%281%2Br%2F100%29%5E%7Bt%7D)
10,350=5000![(1+r/100)^{8}](https://tex.z-dn.net/?f=%281%2Br%2F100%29%5E%7B8%7D)
=![(1+r/100)^{8}](https://tex.z-dn.net/?f=%281%2Br%2F100%29%5E%7B8%7D)
2.07=![(1+r/100)^{8}](https://tex.z-dn.net/?f=%281%2Br%2F100%29%5E%7B8%7D)
=1+![\frac{r}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B100%7D)
1.095-1=![\frac{r}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B100%7D)
0.095*100=r
r=9.5%
Average rate=![\frac{5000*9.5*1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B5000%2A9.5%2A1%7D%7B100%7D)
=$475
<u>Answer</u>
2.7
<u>Explanation</u>
sin20° = LN/8
multiplying both side by 8
8sin20° = LN
LN = 8×0.342020143
= 2.73616
Answer to the nearest tenth = 2.7
The surface area of a cylinder is:
A=2pr^2+2prh and since r=d/2
A=2p(d^2/4+dh/2)
A=(p/2)(d^2+2dh) and we need 200 of these cylinders...
A=(100p)(d^2+2dh), and using d and h, 3.5cm and 70cm we get:
A=(100p)(3.5^2+2*3.5*7)
A=(100p)(12.25+49)
A=6125p cm^2
A≈19242 cm^2 (to nearest cm^2)