Answer:
x = 4
Step-by-step explanation:
Set the exponents equal to each other

2x + 1 = x + 5
Subtract x from both sides
x + 1 = 5
Subtract one from both sides
x = 4
So, the value of x is equal to 4.
Answer:
(1) The annual interest rate is 10%, that is greater than 8%
(2) The annual interest is bigger than 22.47% and that is greater than 8%
Step-by-step explanation:
We have the equation:

Where I is the earns in interest, n is the number of years and r is the annual interest rate.
For the first case, we can replace I by $210 and n by 2 as:

Solving for r, we get:







So, for the first case, the interest rate paid by the bank is 10% and it is greater than 8%
For the second case, we need to take the equation and solve for r as:





So, for the second case the rate need to be bigger than 22.47% and that is bigger than 8%
Answer:
13
Step-by-step explanation:
Throughout this pattern, each previous number is adding 3.
Hope this helps! :)
The answer is : 0.0000945
Hope this helped have a good day!
Answer:
C
Step-by-step explanation:
Two pyramids are similar. It means that their side lengths are proportional.
So, let's see the proportionality constant from SMALL PYRAMID to LARGE PYRAMID.
The corresponding length of 8 in small pyramid is 24 in large pyramid. We ask ourself: "8 times WHAT gives us 24?"
This is the proportionality constant (aka "k").
So, 8 times "3" is 24. So the proportionality constant is "3".
k = 3
Now, the height of small pyramid is 6 and height of large pyramid is "x". These sides will be same way proportional. So, we can say:
6 times the proportionality constant (3) would give us x
So,
6 * 3 = x
x = 18
Correct answer is C