Answer:
-2x³ - 14x² + 7x - 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(3x³ - 2x² + 4x - 8) - (5x³ + 12x² - 3x - 4)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: 3x³ - 2x² + 4x - 8 - 5x³ - 12x² + 3x + 4
- Combine like terms (x³): -2x³ - 2x² + 4x - 8 - 12x² + 3x + 4
- Combine like terms (x²): -2x³ - 14x² + 4x - 8 + 3x + 4
- Combine like terms (x): -2x³ - 14x² + 7x - 8 + 4
- Combine like terms: -2x³ - 14x² + 7x - 4
Answer:
22 meters
Step-by-step explanation:
If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.
Then they traveled another 7 meters when going 7 meters below sea level.
15 + 7 = 22
Hope this helps :)
Answer:
I don't know but do you know how to answer this:
Two similar right triangles have areas of 6 square inches and
150 square inches. The length of the hypotenuse of the smaller
triangle is 5 inches. What is the sum of the lengths of the legs
of the larger triangle?
Given the simple interest formula:
I = P•R•T
where:
I = interest
P = principal
R = interest rate
T = time (in years)
We can isolate R algebraically to find out the interest rate:
I = P•R•T
Divide both sides by P•T:
I / (P•T) = (P•R•T)/(P•T)
The formula for the interest rate is:
R = I / (P•T)
Substitute the given values into this formula to solve for the interest rate (R):
R = I / (P•T)
R = $490/ ($1,400 • 5 years)
R = $490 / $7,000
R = 0.07 or 7%
Therefore, the interest rate is 7%.
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Answer:
a) 
b) The balance after 8 years will be of $29,069.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
a)
Loan of $17,500 means that 
6.4% interest rate means that 
Compounded monthly means that 
. So
b)
This is A(8). Then
The balance after 8 years will be of $29,069.
