I'm assuming the funds earn 5% yearly?
Call x the amount he saves every year. The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).
Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000. Dividing by 4.31, we see that x is approximately equal to 4872.
Answer:
the real solutions are the ones that actually cross the x-axis.
so the real solutions are (-5, 0) (-1,0) (4,0) and (8,0)
Answer:
B
Step-by-step explanation:
Given a function of a parabola (quadratic) in the form f(x) = x^2, we have a translated function as:
g(x) = a(x-b)^2
Where
- a is the vertical compression or stretch. If a > 1, it is a vertical stretch and if 0 < a < 1, it is a vertical compression.
- b is the horizontal translation b units to the right
The function given is p(x) = 3(x-8)^2
So it means that it is a vertical stretch with a factor 3 and the graph is shifted horizontally 8 units right
the correct answer is B
Answer:
f(x) = (x +4)(x -1)(x -2)²
Step-by-step explanation:
The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.
Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:
f(x) = (x -(-4))(x -2)(x -1)(x -2)
f(x) = (x +4)(x -1)(x -2)²
_____
<em>Additional comment</em>
When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.
Answer:
The slope is 5
Step-by-step explanation:
