Answer:
about 11.03 million
Step-by-step explanation:
Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):
Substitute the values given:
I = 70,000,000(1 + 5/100)^3 - 70,000,000
Use a calculator to solve and you will get ~11.03 million.
Answer:
9, 11, 13
Step-by-step explanation:
We can rephrase an odd number into an algebraic equation of (2n+1)
Therefore, 3 consecutive odd numbers would be written as:
(2n+1), (2n+3), (2n+5)
We can then rewrite the question as:
3 x (2n+1) = 2 x (2n+5) + 1
Work out the equation to find n:
6n + 3 = 4n + 10 + 1
(minus 4n from both sides)
2n + 3 = 11
(minus 3 from both sides)
2n = 8
(divide both sides by 2 to get)
n = 4
To find the original 3 consecutive numbers, we just input (4) into (2n+1), (2n+3), (2n+5) to get:
(8+1), (8+3), (8+5)
= 9, 11 and 13
Answer:
x = 2 or x = 1 or x = -1
Step-by-step explanation:
Solve for x over the real numbers:
x^5 - 4 x^4 + 4 x^3 + 2 x^2 - 5 x + 2 = 0
The left hand side factors into a product with three terms:
(x - 2) (x - 1)^3 (x + 1) = 0
Split into three equations:
x - 2 = 0 or (x - 1)^3 = 0 or x + 1 = 0
Add 2 to both sides:
x = 2 or (x - 1)^3 = 0 or x + 1 = 0
Take cube roots of both sides:
x = 2 or x - 1 = 0 or x + 1 = 0
Add 1 to both sides:
x = 2 or x = 1 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 2 or x = 1 or x = -1
Given: w²+9=6w [0, 3, 6, 9]
We need to substitute each number for w and find which works
Sub Zero: 0²+9=6×0
Simplify: 9=0. 9 does not equal 0, so it is not 0
Sub Three: 3²+9=6×3
Simplify: 9+9=18
Addition: 18=18
The statement 18=18 is true, therefore we have our answer.
Answer: The second option is correct. 3 would be the correct number to substitute to make the equation correct.
