If the boat initially cost $11850 and INCREASED in value by 10% per year, we'd calculate the final value like this:
V = $11850(1+0.10)^8
But if the boat is losing value (depreciating) over time, we'd calculate its final value like this:
V = $11850(1-0.10)^8 = $11850(0.90)^8 = $11850(0.4305) = $5101.04 (answer)
Answer:
Step-by-step explanation:
Its like doing a long division with base 10 numbers:
1110 <----------- Quotient
101)1001010
101
1000
101
111
101
100
So the answer is 1110 remainder 100.
We can confirm this by converting to decimal numbers
1001010 = 74 and 101 = 5.
74 / 5 = 14 remainder 4.
Answer:
The factorization of
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form
or
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of
by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation
, and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of
which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>

with
y 
2.) Solving the sum of cubes.


.
Answer:
The highlighted one is correct
B F(x) = 2 - x²
Step-by-step explanation: