Answer:
Step-by-step explanation:
You should factorize so
P2 + 24p + 23
P2 + 23 p + p + 23
P(p + 23) + 1(p + 23)
(p + 23) and ( p + 1) are the factors
Answer:
After 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.
Step-by-step explanation:
Given that Cam and Madison were investing money into two different accounts, both investing $ 550 each, and Cam invested into an account at an annual interest rate of 2.7% compounded monthly while
Madison invested into an account that had an annual interest rate of 3% compounded quarterly, to determine the balances of both accounts after 5 years, the following calculations must be performed:
Cam
X = 550 (1 + 0.027 / 12) ^ 5x12
X = 550 (1 + 0.027 / 12) ^ 60
X = 616.04
Madison
X = 550 (1 + 0.03 / 3) ^ 5x3
X = 550 (1 + 0.03 / 3) ^ 15
X = 638.53
Thus, after 5 years, Cam's account will have $ 616.04 while Madison's account will have $ 638.53.
Answer:
After 4 miles driven by cab the amount would be same in both cities.
Step-by-step explanation:
Let the number of miles be 'x'.
Given:
In NYC
Flat fee of cab = $4
Per mile charge = $1.25
Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.
Framing in equation form we get;
Total cab charges in NYC =
In Chicago
Flat fee of cab = $6
Per mile charge = $0.75
Total cab charges is equal to sum of Flat fee of cab and per mile charge multiplied by number of miles.
Framing in equation form we get;
Total cab charges in Chicago =
Now we need to find number of miles driven so that the amount could same in both cities.
Total cab charges in NYC = Total cab charges in Chicago
Combining like terms we get;
using Division Property we will divide both side by 0.5 we get;
Hence After 4 miles driven by cab the amount would be same in both cities.
Answer:
The probability that the sample proportion will be at least 3 percent more than the population proportion is 0.6157
Step-by-step explanation:
We need sample proportion between 0.75 - 0.03 = 0.72 and 0.75 +0.03 = 0.78. Here we have p = 0.75 and n= 158.
So z-score for sample proportion q = 0.72
z = = = - = - 0.872
So z-score for sample proportion q = 0.78
z= = = = 0.872
Therefore the probability that the sample proportion will be within 3 percent of the population proportion is
P( 0.72 < q < 0.78) = P ( -0.872 < z < 0.872)
= P( z < 0.872) - P( z < -0.872)
= 0.80785 - 0.19215
= 0.6157