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Aleks [24]
3 years ago
6

Find f(2) if f(x) = (x + 1)2. 9 6 5 I'll give brainiest if right

Mathematics
1 answer:
solmaris [256]3 years ago
6 0

Answer:

x=2

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
Anyone who answers this correctly I WILL GIVE U A SUPER THANKS
Inga [223]

Answer:

25

Step-by-step explanation:

4x+8+72=180

4x+80=180

180-80=100

100/4=25

x=25

3 0
3 years ago
Carl works at a garment factory and sews buttons on shirts. For each shirt he completes that passes inspection, he earns $2. How
Ratling [72]

do 2*52 which gives you 104 so 104 dollars

6 0
3 years ago
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges
Arte-miy333 [17]
I cant figure it out sorry :/

3 0
3 years ago
Jason sold half of his comic books and then bought 6 more. He now has 13. How many did he begin with?
tigry1 [53]

Answer:

He began with 14 please mark brainliest

Step-by-step explanation:

13-6 equals 7

7 times 2 equals 14

5 0
2 years ago
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