Answer:
B. ![(5+2)^{2} > 5^2 + 2^2](https://tex.z-dn.net/?f=%285%2B2%29%5E%7B2%7D%20%3E%205%5E2%20%2B%202%5E2)
Step-by-step explanation:
The inequality "B" is correct because when you simplify it, you can see that it holds true:
![7^{2} > 25 + 4](https://tex.z-dn.net/?f=7%5E%7B2%7D%20%3E%2025%20%2B%204)
49 > 29
49 is indeed greater than 29, making this inequality true.
Answer:
25
Step-by-step explanation:
because 175/7= 25
Answer:
$4125.00
14.94 years
$379.50
Step-by-step explanation:
1. A = P(1 + r/n)^(nt)
4837.65 = P(1 + 0.032/4)^(4×5)
4837.65 = P(1.008)^(20)
P = 4125.00
2. A = P(1 + r/n)^(nt)
10250 = 5125(1 + 0.0475/1)^(1×t)
10250 = 5125(1.0475)^t
2 = 1.0475^t
ln 2 = t ln 1.0475
t = 14.94
3. Beth pays the first $100, bringing the cost to $1118. She then pays 25% of this, which is $279.50. So she pays a total of $379.50.
Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077