Answer:
Jose answered incorrectly. In his second step, where he expanded the term 5(c - 2), he multiplied the c by five, but failed to multiply the two, giving him, "5c - 2 - 2c" instead of the correct expression "5c - 10 - 2c".
Answer:
y=2 x=1
Step-by-step explanation:
1.5(x+4)-3=4.5(x-2)
1.5x+6-3= 4.5x - 9
1.5 x+3=4.5x-9
3+9=4.5x-1.5x
12=3x
x=4
Answer: There are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .
Step-by-step explanation:
Let x be the number of streets named as First Street .
y be the number of streets named as Main Street.
AS per the given information, we have the following system of equations :
![x+y=14866-------------(1)\\\\x=488+y-------------(2)](https://tex.z-dn.net/?f=x%2By%3D14866-------------%281%29%5C%5C%5C%5Cx%3D488%2By-------------%282%29)
Substitute the value of x from (2) in (1) , we get
![488+y+y=14866\\\\ 2y =14866- 488\\\\ 2y=14378\\\\ y=7189](https://tex.z-dn.net/?f=488%2By%2By%3D14866%5C%5C%5C%5C%202y%20%3D14866-%20488%5C%5C%5C%5C%202y%3D14378%5C%5C%5C%5C%20y%3D7189)
Put value of y in (2), we get
![x=488+7189=7677](https://tex.z-dn.net/?f=x%3D488%2B7189%3D7677)
Hence , there are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .
Answer:
It will take 55 years for the account value to reach 38200 dollars
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
![E = P*I*t](https://tex.z-dn.net/?f=E%20%3D%20P%2AI%2At)
In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
.
In this problem, we ahve that:
![T = 38200, P = 7500, I = 0.075](https://tex.z-dn.net/?f=T%20%3D%2038200%2C%20P%20%3D%207500%2C%20I%20%3D%200.075)
So
First we find how much we have to earn in interest.
.
![E = 38200 - 7500](https://tex.z-dn.net/?f=E%20%3D%2038200%20-%207500)
![E = 30700](https://tex.z-dn.net/?f=E%20%3D%2030700)
How much time to earn this interest?
![E = P*I*t](https://tex.z-dn.net/?f=E%20%3D%20P%2AI%2At)
![30700 = 7500*0.075*t](https://tex.z-dn.net/?f=30700%20%3D%207500%2A0.075%2At)
![t = \frac{30700}{7500*0.075}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B30700%7D%7B7500%2A0.075%7D)
![t = 54.6](https://tex.z-dn.net/?f=t%20%3D%2054.6)
Rounding up
It will take 55 years for the account value to reach 38200 dollars