Answer: ![x=-\dfrac{3}{2}, 7](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B3%7D%7B2%7D%2C%207)
Step-by-step explanation:
Move all terms to one side
Simplify
Split the second term
Factor out common terms in the first two terms, then in the last two terms.
Factor out the common term
![x=-\dfrac{3}{2}, 7](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B3%7D%7B2%7D%2C%207)
We have been given that Tony wants to save $10000 in 6 years.
That means future value S = $10000
Time t= 6 years
Interest rate = 4% yearly = 0.04 yearly
n=12 months per year
Now we have to find monthly payment to recieve $10000 in 6 years. so we need to apply monthly payment formula which is
![S=R(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})](https://tex.z-dn.net/?f=%20S%3DR%28%5Cfrac%7B%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D-1%7D%7B%5Cfrac%7Br%7D%7Bn%7D%7D%29%20)
![10000=R(\frac{(1+\frac{0.04}{12})^{12*6}-1}{\frac{0.04}{12}})](https://tex.z-dn.net/?f=%2010000%3DR%28%5Cfrac%7B%281%2B%5Cfrac%7B0.04%7D%7B12%7D%29%5E%7B12%2A6%7D-1%7D%7B%5Cfrac%7B0.04%7D%7B12%7D%7D%29%20)
![10000=R(\frac{(1+0.00333333333333)^{72}-1}{0.00333333333333})](https://tex.z-dn.net/?f=%2010000%3DR%28%5Cfrac%7B%281%2B0.00333333333333%29%5E%7B72%7D-1%7D%7B0.00333333333333%7D%29%20)
![10000=R(\frac{(1.00333333333333)^{72}-1}{0.00333333333333})](https://tex.z-dn.net/?f=%2010000%3DR%28%5Cfrac%7B%281.00333333333333%29%5E%7B72%7D-1%7D%7B0.00333333333333%7D%29%20)
![10000=R(\frac{1.27074187908-1}{0.00333333333333})](https://tex.z-dn.net/?f=%2010000%3DR%28%5Cfrac%7B1.27074187908-1%7D%7B0.00333333333333%7D%29%20)
![10000=R(\frac{0.27074187908}{0.00333333333333})](https://tex.z-dn.net/?f=%2010000%3DR%28%5Cfrac%7B0.27074187908%7D%7B0.00333333333333%7D%29%20)
![10000=R(81.2225637241)](https://tex.z-dn.net/?f=%2010000%3DR%2881.2225637241%29%20)
![\frac{10000}{81.2225637241}=R](https://tex.z-dn.net/?f=%20%5Cfrac%7B10000%7D%7B81.2225637241%7D%3DR%20)
![123.11849739=R](https://tex.z-dn.net/?f=%20123.11849739%3DR%20)
which is approx $123.
Hence final answer is C) $123.
Answer:
30y+14
Step-by-step explanation:
add the values of all the sides together: (5y+4) + (5y+4) + (10y+3) + (10y+3) = (5y + 5y + 10y + 10y) + (4 + 4 + 3 + 3)= 30y + 14
Don't be worried friend :)
-(y + 2) + 8 = 3
=> -(y + 2) = -5
=> y + 2 = 5
=> y = 3
Answer:
you have to make x-3 and x-7 equal to zero...
x = 3 or x=7
"A"
Step-by-step explanation: