follow these steps:
1) y-4=7x^2
2) (y-4)/7 = x^2
so you must inverse x and y names:
Answer:
The maximum is at (1,3)
Step-by-step explanation:
The maximum value of the function is at the vertex
The maximum is at (1,3)
Annually The amount after 10 years = $ 7247.295
quarterly compound after 10 years = $7393.5
Continuously interest =$7,419
Given:
P = the principal amount
r = rate of interest
t = time in years
n = number of times the amount is compounding.
Principal = $4500
time= 10 year
Rate = 5%
To find: The amount after 10 years.
The principal amount is, P = $4500
The rate of interest is, r = 5% =5/100 = 0.05.
The time in years is, t = 10.
Using the quarterly compound interest formula:
A = P (1 + r / 4)4 t
A= 4500(1+.05/4)40
A= 4500(4.05/4)40
A= 4500(1.643)
Answer: The amount after 10 years = $7393.5
Using the Annually compound interest formula:
A = P (1 + r / 100) t
A= 4500(1+5/100)10
A= 4500(105/100)10
Answer: The amount after 10 years = $ 7247.295
Using the Continuously compound interest formula:
e stands for Napier’s number, which is approximately 2.7183
A= $2,919
Answer: The amount after 10 years = $4500+$2,919=$7,419
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Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The proportion that live with their parents is
The sample size is n = 125
Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution
i.e
Now the mean is evaluated as
Generally the proportion that are not staying with parents is
= >
The standard deviation is mathematically evaluated as
Given the n is large then we can use normal approximation to evaluate the probability as follows
Now applying continuity correction
Generally
So for the z - table
Jack can give three apples to 18 friends and have 2 left over