Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:

Where m is the slope and b the y-intercept.
Solve for y from each equation:

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.
<u>Answer:</u>
The present value of 10,000 if interest is paid at a rate of 6.2% compounded weekly for 8 years is 6097.56
<u>Explanation:</u>
We know that compound interest is given by

Where ,
Where A = final amount (which is given to be = 10000)
P = Principal amount (which is the present amount which we have to find)
r = interest rate = 6.2 = 0.062
n = no. of times interest applied per time period = it is given that the interest is applied weekly, so in one year there are 52 weeks so n = 52
t = time period = 8 years
Substituting the given values, we get

P = 6097.5
We get, P = 6097.56 which is the present value of a sum of money

In this case, A is
and B is
, so:

Hope that helps!
Answer:
He would have 5/12 pound left.
Step-by-step explanation:
In order to find this, we simply subtract the amount from the original total.
2/3 - 1/4
8/12 - 3/12
5/12
Answer: he made $423
Step-by-step explanation: You multiply $94 by 4.5 and that's how I got the answer.