Answer:
222 = score in 2nd game
Step-by-step explanation:
Let x = score in 1st game
3/4(x) + 30 = score in 2nd game
x + 3/4(x) + 30 = 478 Multiply thru by 4 to eliminate the fraction
4x + 3x + 120 = 1912
7x + 120 = 1912
7x = 1792
x = 256
3/4(x) + 30 = 3/4(256) + 30
= 192 + 30
222 = score in 2nd game
Check: 222 + 256 = 478
Answer:
5 1/4 hours each week
Step-by-step explanation:
The total number of jelly beans is 32.
Yellow would be 8/32, simplified to 1/4.
Im assuming by 5-.8, you mean 5/8ths and by 1-.4, you mean 1/4th...
x=5/8+1/4
x=5/8+2/8
x=7/8
They ate 7/8 together
Answer:
The time it will take for the account balance to reach $3,726.18 is 15 months.
Step-by-step explanation:
The information provided is:
- Jaidee invests $2,628 in a retirement account
- With a fixed annual interest rate of 2.33%
- Compounded 12 times per year, i.e. compounded monthly.
- Final account balance: $3,726.18
The formula of compound interest (compounded monthly) is:
![A=P(1+\frac{r}{12})^{12t}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7B12%7D%29%5E%7B12t%7D)
Compute the value of t as follows:
![3726.18=2628\times (1+\frac{0.0233}{12})^{12t}\\\\\frac{3726.18}{2628}= (1.00194167)^{12t}\\\\1.41787671= (1.00194167)^{12t}\\\\\log(1.41787671)= 12t\times \log(1.00194167)\\\\12t=\frac{\log(1.41787671)}{\log(1.00194167)}\\\\t=14.99995\\\\t\approx 15](https://tex.z-dn.net/?f=3726.18%3D2628%5Ctimes%20%281%2B%5Cfrac%7B0.0233%7D%7B12%7D%29%5E%7B12t%7D%5C%5C%5C%5C%5Cfrac%7B3726.18%7D%7B2628%7D%3D%20%281.00194167%29%5E%7B12t%7D%5C%5C%5C%5C1.41787671%3D%20%281.00194167%29%5E%7B12t%7D%5C%5C%5C%5C%5Clog%281.41787671%29%3D%2012t%5Ctimes%20%5Clog%281.00194167%29%5C%5C%5C%5C12t%3D%5Cfrac%7B%5Clog%281.41787671%29%7D%7B%5Clog%281.00194167%29%7D%5C%5C%5C%5Ct%3D14.99995%5C%5C%5C%5Ct%5Capprox%2015)
Thus, the time it will take for the account balance to reach $3,726.18 is 15 months.