Yup it's correct :) good job!
Using a system of equations, it is found that Carol is 10 years old.
The complete problem is:
"Gerrys age is 5 more than three times Carols age. If the sum of their age is 45, how old is carol?"
<h3>System</h3>
The variables are:
Gerry is <u>5 more than three times Carol's age</u>, hence:
![x = 5 + 3y](https://tex.z-dn.net/?f=x%20%3D%205%20%2B%203y)
The sum of their ages is 45, hence:
![x + y = 45 \rightarrow x = 45 - y](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2045%20%5Crightarrow%20x%20%3D%2045%20-%20y)
We then use the first equation to find Carol's age:
![45 - y = 5 + 3y](https://tex.z-dn.net/?f=45%20-%20y%20%3D%205%20%2B%203y)
![4y = 40](https://tex.z-dn.net/?f=4y%20%3D%2040)
![y = \frac{40}{4}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B40%7D%7B4%7D)
![y = 10](https://tex.z-dn.net/?f=y%20%3D%2010)
Carol is 10 years old.
To learn more about system of equations, you can take a look at brainly.com/question/13773803
Answer:
50%
Step-by-step explanation:
30+10=40
40+20=60
120-60=60
60 is 50% of 120
Answer:
The minimum payment should she have is $ 6546.035
Step-by-step explanation:
Given as ;
Amount credit card balance = $12,300
The rate of interest = 13.45 %
The time period is 5 years
Let The principal be P
Now,
Amount = Principal × ![(1 + \frac{Rate}{100})^{Time}](https://tex.z-dn.net/?f=%281%20%2B%20%5Cfrac%7BRate%7D%7B100%7D%29%5E%7BTime%7D)
Or , $12,300 = p × ![(1 + \frac{13.45}{100})^{5}](https://tex.z-dn.net/?f=%281%20%2B%20%5Cfrac%7B13.45%7D%7B100%7D%29%5E%7B5%7D)
Or, $12,300 = p × ![(1.1345)^{5}](https://tex.z-dn.net/?f=%281.1345%29%5E%7B5%7D)
∴ p = ![\frac{12,300}{1.879}](https://tex.z-dn.net/?f=%5Cfrac%7B12%2C300%7D%7B1.879%7D)
Or, P = $ 6546.035
Hence The minimum payment should she have is $ 6546.035 Answer
Answer:
6 weeks
Step-by-step explanation:
First you add 23+19 which is 42
Then you divide 42 by the number of days in a week (7)
42/7=6