The vertex of the housing market function is its maximum value
The vertex of the function is (7.1, 128723.25) and it means that the overall value of a home is at the highest in 2027 at a price of #128723.25
<h3>How to determine the vertex?</h3>
The function is given as:
v(x) = 325x^2 - 4600x + 145000
Differentiate
v'(x) = 2*325x - 4600
Set to 0
2*325x - 4600 = 0
Collect like terms
2*325x = 4600
Solve for x
x = 7.1
Substitute 7.1 in V(x)
v(7.1) = 325*7.1^2 - 4600*7.1 + 145000
v(7.1) = 128723.25
Hence, the vertex of the function is (7.1, 128723.25) and it means that the overall value of a home is at the highest in 2027 at a price of #128723.25
Read more about vertex at:
brainly.com/question/15914313
Answer:20 Step-by-step explanation:
16 divided by 4 then multiply 5.
Answer:
27x-3
Step-by-step explanation:
15x +21 - 24 + 12x
= 27x -3
For this case we have the following expression:
Factoring the expression we have:
We now cancel similar terms:
Finally, simplifying the expression we have:
Answer:
Answer:
5 6/7
Step-by-step explanation:
107×4110=?
10
7
×
41
10
=
?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
10×417×10=41070
10
×
41
7
×
10
=
410
70
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 410 and 70 using
GCF(410,70) = 10
410÷1070÷10=417
410
÷
10
70
÷
10
=
41
7
The fraction
417
41
7
is the same as
41÷7
41
÷
7
Convert to a mixed number using
long division for 41 ÷ 7 = 5R6, so
417=567
41
7
=
5
6
7
Therefore:
107×4110=567
