Let f(x)=x3(exponent)+kx2(exponent)+x+5
When f(x) is divided by (x+2) the remainder is =3
This is the remainder theorem
so,f(−2)=−8+4k−2+5=3
4k=3+5=8
k=2
Answer: The actual price of house sold at $109000.
Step-by-step explanation:
Since we have given that
Selling price = $100000
Rate of commission = 7%
So, Amount of commission would be

Total commission = $7540
So, Remaining amount of commission would be

Rate of commission exceeding $100000 = 6%
Let the selling price of house be 'x'.
According to question,

Hence, the actual price of house sold at
$100000+$9000=$109000.
Given :
An airplane cuts through the morning sky for every 1,000 feet that he climbs the outside temperature drops 20° F.
To Find :
The rate of the temperature change in degrees Fahrenheit per foot.
Solution :
Let, rate of the temperature change in degrees Fahrenheit per foot is x.
So,

Therefore, rate of the temperature change in degrees Fahrenheit per foot is 0.02.
Hence, this is the required solution.