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SashulF [63]
3 years ago
10

Can someone help me with this plz plz !!

Mathematics
2 answers:
Marat540 [252]3 years ago
8 0
There is no question
saul85 [17]3 years ago
6 0
There is no question
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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
T- 4t^2 + 2t^3<br> What is the degree of the polynomial?
Eduardwww [97]

Answer:

3rd degree

Step-by-step explanation:

The highest exponent is a 3, meaning this is a 3rd degree polynomial.

4 0
3 years ago
0.10x how much is the bill for a person who uses 600 kWh in a month
Yuliya22 [10]

The total bill paid for a person who uses 600 kWh in a month is $60.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the utility company charges $0.10 per kWh, hence:

Total charge in a month = 0.10 * 600 = $60

The total bill paid for a person who uses 600 kWh in a month is $60.

Find out more on equation at: brainly.com/question/2972832

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Find the dimensions of a rectangle
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The length of the shorter side is 7 longer side is 12 7+7+12+12 is 38 and 7x12 is 84
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Shirley has a collection of 50 stamps and adds 4 stamps daily to her collection. model this situation as a function of number of
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Stamps - S

S= 50+ 4d

Sorry if I’m wrong
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1 year ago
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