The decay factor here is 0.85, and it means the car’s value changes by 85% every year, or goes down by 15% every year.
The formula for exponential decay is y = a(1 - b)^x
y is the final amount.
a is the initial amount, which is $30,000 in this case.
(1 - b) is the decay factor, or the number the original value gets multiplied by each year, which is 0.85 here.
b is the percent decrease in decimal form. In this case, we can find it using the formula (1 - b) = 0.85. We soon find that b = 0.15, or 15%.
x is the number of years.
Answer:
x⁴ + 6x² + 9
Explanation:
To answer this question, we will multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.
This can be done as follows:
(x² + 3)(x² + 3)
x²(x²) + x²(3) + 3(x²) + 3(3)
x⁴ + 3x² + 3x² + 9
x⁴ + 6x² + 9
Hope this helps :)
Answer:
Step-by-step explanation:
The given triplets are (16,63,65) . Let us assume 16 as the smallest even number, then it should be equivalent to 2m . From the above result we can say that triples (16,63,65) is a Pythagorean triplet. The given triplets are (24,144,145)
First you need to simplify the left side of the equation to get

Then you add by two on both sides to get

Finally you divide by 2 on both sides to get