How much money will you have if you started with $1250 and put it in an account that earned 6.7% every year for 14 years?
1 answer:
Answer:
$3098.93
Step-by-step explanation:
We can use the formula for compound growth to solve this. The formula is:
Where
F is the future value (the value at end of 14 years, our answer)
P is the initial amount invested ($1250)
r is the interest rate, in decimal (6.7% is 0.067)
t is the time in years (14, in our case)
<em>Plugging in all the information</em> we have:
The account will accrue $3098.93 after 14 years.
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By applying the segment addition postulate, the <u>value of v = 7</u>
- According to the Segment Addition Postulate, it holds that if point C is between points D and E, therefore:
DC + CE = DE
- Given that:
- Therefore, by substitution, we will have the following equation:
- Open the bracket and solve for the value of v.
- Add like terms
- Add 23 to both sides
- Divide both sides by 5
v = 10
Therefore, using the segment addition postulate, the <u>value of v = 10</u>
Learn more about the segment addition postulate here:
Answer:
Domain: (-∞, -2) U [-2, 1] U (1, ∞)
Range: (-∞, 2) U [-3, -∞)
Step-by-step explanation:
This function is composed of three polynomial functions, a positive slope line , whose domain is all real numbers, a horizontal line, and a negative slope line
whose domain is all real numbers.
Observe in the attached graph that the function has a discontinuity in x = -2, it has a jump.
When x approaches -2 by the left hand, y tends to 2. But when x approaches -2 from the right y tends to -3.
In addition, the function comes from -∞, then has a maximum value at y = 2 and finally derece up to -∞
Then we can conclude that for this piecewise function:
Domain: (-∞, -2) U [-2, 1] U (1, ∞) All Real Numbers
Range: (-∞, 2) U [-3, -∞)
