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DochEvi [55]
2 years ago
15

1. A café menu has the following choices of cheese and toppings for scrambled

Mathematics
1 answer:
Vinil7 [7]2 years ago
8 0

Answer:

the top answer in your picture is the right answer

Step-by-step explanation:

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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
Pls help! I am already getting behind in this semester. And the semester just started. I am really worried the imma fail the sem
Ierofanga [76]

Answer:

Whats the question? i might be able to help

7 0
2 years ago
Read 2 more answers
Find the difference. write the difference in lower term 8 ⅓-5
sergejj [24]

Given data:

The given expression is 8 ⅓-5.

The given expression can be written as,

\begin{gathered} 8\frac{1}{3}-5=\frac{25}{3}-5 \\ =\frac{25-15}{3} \\ =\frac{10}{3} \end{gathered}

Thus, the difference of the given expression is 10/3.

5 0
1 year ago
Please Answer And Show work please!!!!!
Murljashka [212]

Answer:

si lan varlgo 2x4x4x2.5

Step-by-step explanation:

la nidra si margo

8 0
3 years ago
Read 2 more answers
5c + 3 ≥ 6x -8<br><br> Solve the following inequality for cc. Write your answer in simplest form.
irina [24]

Answer:

c≥2(x-2) ÷ 5

Step-by-step explanation:

5c+3≥6x-8

5c ≥6x-8-3

5c≥6x-12

c≥(6x-12) ÷ 5

c≥ 2(x-2) ÷5

3 0
2 years ago
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