Answer:
![\frac{x+4}{x+3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B4%7D%7Bx%2B3%7D)
Step-by-step explanation:
Given
← factor numerator and denominator
=
← cancel common factor (x + 1) on numerator/ denominator
= ![\frac{x+4}{x+3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B4%7D%7Bx%2B3%7D)
1.04 ^ 1/12 = 0.086666666
or
1.04 ^ 1/12 = 13/150
Answer:
$722444.49386776
Step-by-step explanation:
Use Compound Intrest Formula
![a = p(1 + \frac{r}{n} ) {}^{nt}](https://tex.z-dn.net/?f=a%20%3D%20p%281%20%2B%20%20%5Cfrac%7Br%7D%7Bn%7D%20%29%20%7B%7D%5E%7Bnt%7D%20)
- where p is the original amount.
- R is the amount of percentage compounded
- N is amount of times compounded per year.
- T is how long the interest last.
P is 400,00p
T is 12% or 0.12
N is 4 since it is compounded quarterly
T is 5.
Plug the values in
![400000(1 + \frac{0.12}{4} ) {}^{20}](https://tex.z-dn.net/?f=400000%281%20%2B%20%20%5Cfrac%7B0.12%7D%7B4%7D%20%29%20%7B%7D%5E%7B20%7D%20)
Ypu get
$722444.49386776
Answer:
![(2,\frac{11}{2})](https://tex.z-dn.net/?f=%282%2C%5Cfrac%7B11%7D%7B2%7D%29)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Midpoint Formula:
![(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Step-by-step explanation:
<u>Step 1: Define</u>
Endpoint (-1, 4)
Endpoint (5, 7)
<u>Step 2: Find midpoint</u>
- Substitute:
![(\frac{-1+5}{2},\frac{4+7}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-1%2B5%7D%7B2%7D%2C%5Cfrac%7B4%2B7%7D%7B2%7D%29)
- Add:
![(\frac{4}{2},\frac{11}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B2%7D%2C%5Cfrac%7B11%7D%7B2%7D%29)
- Divide:
![(2,\frac{11}{2})](https://tex.z-dn.net/?f=%282%2C%5Cfrac%7B11%7D%7B2%7D%29)
Answer: " b = 3 ⅕ ; or, write as: 3.2 .
_____________________________________
Given: "A = (1/2) * b * h " ;
↔ A = (b * h) / 2
2A = (b*h) ;
2A/ h = b ;
↔ b = (2A) / h ;
Given A = 48 ; and h = 30 ; Plug in these values; and solve for "b" ;
→ b = (2*48) / 30 ;
= 96/30 ;
= (96÷6) / (30÷6) ;
→ b = 16/5 ; = 3 <span>⅕ ; or, write as: 3.2 .
_______________________________</span>