Answer:
<u>Part 1: C. $3,159.30</u>
<u>Part 2. C. –5; –135; –10,935</u>
Step-by-step explanation:
Part 1:
Price of the boat = $ 16,600
Depreciation rate = 14% = 0.14
Time of utilization of the boat = 11 years
Price of the boat after 11 years = Original price * (1 - Depreciation rate)^Time of utilization of the boat
Price of the boat after 11 years = 16,600 * (1 - 0.14)¹¹
Price of the boat after 11 years = 16,600 * 0.1903
<u>Price of the boat after 11 years = $ 3,159.30</u>
Part 2:
Let's find out the first term of the sequence given:
A(1) = -5 * 3¹⁻¹
A(1) = -5 * 1
A(1) = -5
Let's find out the fourth term of the sequence given:
A(4) = -5 * 3⁴⁻¹
A(4) = -5 * 3³
A(4) = -5 * 27
A(4) = -135
Let's find out the eighth term of the sequence given:
A(8) = -5 * 3⁸⁻¹
A(8) = -5 * 3⁷
A(8) = -5 * 2,187
A(8) = -10,935
Answer: The equation is y = 4x+3
Slope = 4
y intercept = 3
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Explanation:
Let's start off by finding the slope.
The slope is 4.
The y intercept is 3 because of the point (0,3)
We go from y = mx+b to y = 4x+3
m = slope
b = y intercept
---------------
Check:
Plug in x = 0 and we should get to y = 3
y = 4x+3
y = 4(0)+3
y = 0+3
y = 3
That works out. Now try x = 4. It should lead to y = 19
y = 4x+3
y = 4(4)+3
y = 16+3
y = 19
The answer is confirmed.
Answer:
= 68/111
Step-by-step explanation:
Answer:
The answer is 4.
Step-by-step explanation:
8/3 ÷ 2/3 = 8/3 x 3/2 = 4
The answer is down the page under ANSWER. here is a quick explanation first.
okay, i assume your equation is actually like this:
minus x squared plus 4 x minus
note: the proper way to type this electronically is: -x^2 + 4x - 2.
The equation you gave is known as a quadratic equation.
if you think about it, the generic (general) way of writing this quadratic equation is:
ax^2 + bx + c
a, b and c are just numbers
eg.
2x^2 + 7x + 4
looking at the general equation above
a is 2
b is 7
c is 4
you can put negatives in as well, to find out a, b and c
eg
-2x^2 - 6x - 12
so, what is a b and c?
a is -2 (must say its negative)
b is - 6 (must say negative)
c is - 12 ( again, remember its a negative number)
ANSWER
IF YOU JUST WANT THE ANSWER.
THE DISCRIMINANT IS:
4 squared minus (4 times -1 times -2)
this is 16 - 8
solution of discriminant is 8
explanation:
so, now we cleared that up.
in any quadratic equation ( like the equation you gave), the discriminant is (in general)
b2 - 4ac
use this to solve it for any quadratic equation for the discriminant
