I need help with this
2 answers:
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Answer:
Step-by-step explanation:
The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).
- x₁= 5
- y₁= 4
- x₂= -2
- y₂= 1
Substitute these values into the formula.
Solve the numerators.
- 5+ -2 = 5-2 = 3
- 4+1 = 5
Convert the fractions to decimals.
The midpoint of the line segment is (1.5 , 2.5)
Answer:
$42,890
Step-by-step explanation:
The standard form for an exponential equation is
where a is the initial amount value and b is the growth rate or decay rate and t is the time in years. Since we are dealing with money amounts AND this is a decay problem, we can rewrite accordingly:
where A(t) is the amount after the depreciation occurs, r is the interest rate in decimal form, and t is the time in years. We know the initial amount (70,000) and the interest rate (.04), but we need to figure out what t is. If the car was bought in 2006 and we want its value in 2018, a total o 12 years has gone by. Therefore, our equation becomes:
or, after some simplification:
First rais .96 to the 12th power to get
A(t) = 70,000(.6127097573)
and then multiply.
A(t) = $42,890