Answer:
$12,000
Step-by-step explanation:
Use the simple interest formula: P = A(1 + rt)
P = final balance (?)
A = starting balance (10,000)
r = interest rate (0.05)
t = years (4)
P = 10,000(1 + 0.05 · 4)
P = 10,000(1 + 0.2)
P = 10,000(1.2)
P = 12,000
We must find time by using the simple interest formula:
I = P x i x t
I is the interest
P is the total principal
i is the rate of interest per year
t is the total time in years
In this example, when we plug our known values in, our formula looks like this:
t =

t =

t = 4
So time (in years) would be 4 years.
Answer:
x = -4, y = 3/2
Step-by-step explanation:
simplify the 1st equation by dividing each term by 4 to get:
x + 2y = -1
-5x + 2y = 23
Subtract to get: 6x = -24
x = -4
find 'y': 2y - 5(-4) = 23
2y + 20 = 23
2y = 3
y = 3/2
They would need 34.125 tons of rations.
In order to find this, we first need to see how many pounds of rations a single soldier eats in a week. To do this, we take the total eaten in 3 weeks and divide by 3. Then we divide by the number of soldiers.
16,380/3 weeks= 5460 lbs per week
5460/520 soldiers = 10.5 lbs per soldier per week
Now we look to see how many soldiers we will have in total after adding. There are 520 to start and we add 780 to get 1300 total. Next we multiply that by the total per soldier per week.
10.5lbs per soldier per week * 1300 soldiers = 13,650lbs per week
Then we have to multiply by the 5 weeks that battalion will be there.
13,650lbs * 5 weeks = 68,250lbs of rations or 24.125 tons.
Answer:
See explanation.
Step-by-step explanation:
We need a point and a slope to have a point slope equation.

We need a slope and y-intercept to write in slope intercept form.

A)
or 
B) 
C) 
D) 