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Lesechka [4]
2 years ago
8

Elina and Gustavo leave Cayley H.S. at 3:00 p.m. Elina runs north at a constant speed

Mathematics
1 answer:
Andrej [43]2 years ago
8 0

Answer:

the answer to your question is 'b'

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A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex
Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general  equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

I=P*r*t

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

x+y=50000

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

x+y=50000\\12500+y=50000\\y=50000-12500=37500

Therefore, the loan at 8% is $37500

5 0
3 years ago
Help please I'm to stupid for this​
tangare [24]

Answer:

X>0, so the second one

Step-by-step explanation:

Since the point on 0 is OPEN that means the number (0) is NOT part of the solution. Therefore, X is greater than 0.

4 0
2 years ago
Find the slope of the line throgh each pair of points
svlad2 [7]

Answer:

19/24

Step-by-step explanation:

slope = rise/run = (y1 - y2) / (x1 - x2)

s = (19 - 0) / (8 - -16)

s = 19/24

4 0
2 years ago
Pls pls plz plz pls help
Citrus2011 [14]

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

5 0
2 years ago
Which is the value of g(-5) if g(x)=3.4x-8?
irinina [24]
Plug the value -5 in. (3.4)(-5) - 8 is equivalent to -17 - 8. Final answer: g(-5) = -25.
6 0
3 years ago
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