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Inga [223]
2 years ago
12

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) th

ank you very much!!! (22pts)

Mathematics
2 answers:
vitfil [10]2 years ago
6 0

Answer:

The answer is B : No Solution

lianna [129]2 years ago
6 0

Answer:

no solution

Step-by-step explanation:

x²-4 is (x+2)(x-2), which is your least common multiplier

So first, eliminate the denominators by multiplying all terms by (x+2)(x-2)

(x+2)(x-2)/(x-2) + (6x)(x+2)(x-2)/(x+2)(x-2) = 3(x+2)(x-2)/(x+2)

Then simplify

(x+2) + (6x) = 3(x-2)

combine the variables, and expand the right side of the equation

7x + 2 = 3x - 6

Subtract 2 from both sides

7x = 3x - 8

Substract 3x from both sides

4x = -8

Divide both sides by 4

x = -2

Although x = -2, the final answer is undefined.

Because if you plug x = -2 back into the equation, you would get...

for example, 3/(x+2) will become 3/(-2+2), which is 1/0

it is not possible to divide by 0

anything divided by 0 is undefined, therefore this equation has no solution.

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Identify one characteristic of exponential growth
Sonbull [250]

Answer:

Range is always greater than zero.

Step-by-step explanation:

An exponential growth means that the growth rate of a given quantity increases exponentially.

The graph of an exponential function is shown below.

From the above graph, it's quite clear that the range of the function is never negative.

Hence, one characteristic of exponential growth is that the range(y values on the graph) is always greater than zero.

7 0
3 years ago
Which pair shows equivalent expressions?
balu736 [363]

Answer:

2(2/5x+2)= 2*2/5x + 2*2= 4/5x+4

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3 years ago
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Calcula el perímetro (P) y área (A) del la siguiente figura
Dafna11 [192]
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3 years ago
A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years f
alexdok [17]
To show this number using scientific notation, you will look at where the decimal point is and imagine that in the original number.  Then count the number of place values to the right of this.  That will be the exponent that belongs with the 10 because that is how many place values (groups of 10s) the number has past the decimal point.

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6 0
3 years ago
Read 2 more answers
Imagine that you would like to purchase a $275,000 home. Using 20% as
vfiekz [6]

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n -  \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }

The formula for monthly payment on a mortgage, 'M', is given as follows;

M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1}  \approx 1,519.28

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1}  \approx 1,576.15

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1}  \approx 1,181.01

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

8 0
3 years ago
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