What is the answer to 9 - (-8) =
2 answers:
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Answer:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Choice 1 = X = Final Amount after 12 years = $5600
Choice 2 = Y = Final Amount after 12 years = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
Step-by-step explanation:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Initial Deposit Amount = $3500
Time period = 12 years
Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.
X = simple interest of 5% over the initial amount for 12 years.
Y = Compound interest 5% over the initial amount for 12 years.
Solution:
Let's calculate the profit for choice 1 = X
Simple interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P (1 + rt)
where, A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
Plug in the values to get the total amount.
A = 3500(1+0.05x12)
A = $5600 = final amount Lorena will get after 12 years.
Let's calculate the profit for choice 2 = Y
Compound interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P
where,
A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
n = number of times interest rate is applied or compounded. = 12
Plug in the values to get the total amount.
A = P
A = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
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Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
