Answer:
135 pennies
Step-by-step explanation:
x= pennies in the door at the start
x-1/3x-1/3(x-1/3x)-1/3(x-1/3x-1/3(x-1/3x))=40
x = 135
Proof:
135-45-20 =40
135-45=90
90=30=60
60-20=40
Answer:
4 dollars
Step-by-step explanation:
The complementary angels are the two angles that sum 90°.
- complementary (27° and 63°) or (26 and 64°)
- three angels that sum 180°
(68°+42°+70° = 180°)
hope this helps :)
Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
![AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\](https://tex.z-dn.net/?f=AV%3DP%281%2B%5Cfrac%7Bi%7D%7Bn%7D%29%5E%7Bn%2At%7D%5C%5C2000%281%2B%5Cfrac%7B.04%7D%7B4%7D%29%5E%7B4%2A6%7D%5C%5C2000%281.01%29%5E%7B24%7D%5C%5C2539.469297%5C%5C)
which rounds to
2539.47
b.)
using the same equation we can write
![3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t](https://tex.z-dn.net/?f=3000%3D2000%281%2B%5Cfrac%7B.04%7D%7B4%7D%29%5E%7B4t%7D%5C%5C1.5%3D1.01%5E%7B4t%7D%5C%5Clog_%7B1.01%7D1.5%3D4t%5C%5Clog_%7B1.01%7D1.5%3D%5Cfrac%7Blog%281.5%29%7D%7Blog%281.01%29%7D%3D40.7489%5C%5C40.7489%3D4t%5C%5C10.18722679%3Dt)
not sure how to round this, so I'll leave that part up to you
Answer:1
Step-by-step explanation: 1/4+3/4=4/4, 4/4=1.