well, Diego is 4 now, so by his 18th birthday that'll be 14 years later.
![~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 8.25\%\to \frac{8.25}{100}\dotfill &0.0825\\ t=years\dotfill &14 \end{cases} \\\\\\ A=1600[1+(0.0825)(14)]\implies A=1600(2.155)\implies A=3448](https://tex.z-dn.net/?f=~~~~~~%20%5Ctextit%7BSimple%20Interest%20Earned%20Amount%7D%20%5C%5C%5C%5C%20A%3DP%281%2Brt%29%5Cqquad%20%5Cbegin%7Bcases%7D%20A%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%20P%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cdotfill%20%26%20%5C%241600%5C%5C%20r%3Drate%5Cto%208.25%5C%25%5Cto%20%5Cfrac%7B8.25%7D%7B100%7D%5Cdotfill%20%260.0825%5C%5C%20t%3Dyears%5Cdotfill%20%2614%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20A%3D1600%5B1%2B%280.0825%29%2814%29%5D%5Cimplies%20A%3D1600%282.155%29%5Cimplies%20A%3D3448)
4(3/(8+1) = 4(3/9) = 12/9 = 4/3
4((3/8)+1) = 4(11/8) = 44/8 = 11/2
just depends on which way the equation is written
Answer: Total amount earned by Laney in 4hour=$138
Total amount earned by Maka in 4hours=$134
Difference =$4
Step-by-step explanation:
Since
Maka charges can be modeled by the equation F=30h+14,
where h =number of hours that Maka tutors
F = the total amount earned. Following same model
With 14 being the charge in dollar for travel expenses.
Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as
F= 32h +10
Such that total amount earned by
Maka in 4hours gives
F=30h+14
F=30x4 +14
F=120+14=$134
In the same vein the total amount earned by Laney in 4hours gives
F=32h+10
F= 32x4+10
F=128+10=$138
The difference in money earned by Laney and Maka = $138-$134= $4
Answer:
1/3
Step-by-step explanation:
Dividing the amount of boys (6) by the amount of students (10), and then reiterating that, subtracting 1 from both, you get:
(6/10) x (5/9) which equals a third.
