Answer:
50 soldiers must be transferred elsewhere.
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
As the number of soldiers decrease, the provisions last for more time. This means that the measures are inversely proportional, and we have an inverse rule of three, using line multiplication, instead of cross.
30 days of provisions - 200 soldiers
40 days of provisions - x soldiers
Simplifying by 40
The provisions will last for 40 days with 150 soldiers, which means that 200 - 150 = 50 soldiers must be transferred elsewhere.
The amount borrowed from the the lender that charges 4.4% interest is $1000.
The amount borrowed from the the lender that charges 5.7% interest is $1500.
<h3>What are the linear equations that can be derived from the question?</h3>
a + b = $2500 equation 1
0.088a + 0.114b = $246 equation 2
Where:
a = amount borrowed from the lender that charges 4.4% interest
b = amount borrowed from the lender that charges 5.7% interest
<h3>How much was
borrowed from the
lender that charges 5.7% interest?</h3>
Multiply equation 1 by 0.114
0.114a + 0.114b = 285 equation 3
Subtract equation 2 from equation 3
39 = 0.026b
b = $1500
<h3>How much was
borrowed from the
lender that charges 4.4% interest?</h3>
Substitute for b in equation 1
a + $1500 = $2500
a = $2500 - $1500
a = $1000
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Answer:
The answer is that both plans are equal.
Step-by-step explanation:
you start by putting the plans into an equation then you set them equal to each other. you need to assign a variable for the number of months. we'll call it M. It would look like this:
plan A - 25 + 8M
plan B - 5 + 12M
25 + 8M = 5 + 12M
Then you solve which looks like this:
25 + 8M = 5 + 12M
-8M -8M
25 = 5 + 4M
-5 -5
20 = 4M
/4 /4
5 = M
Now we aren't done after finding out what M equals. We still need to know what each plan will cost. So, we substitute what M equals into the equation. if they both end up equaling the same thing then its equal. if you get two different numbers they aren't. it would look like this:
25 + 8(5) = 5 + 12(5)
25 + 40 = 5 + 60
65 = 65
They are equal. Both plans will cost 65 dollars.
I’m pretty sure it’s option D
Answer: 35% of 280=98
Step-by-step explanation:
