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Tpy6a [65]
3 years ago
13

Which expression is equivalent to

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0
x^2+3x+3+\dfrac{2x^2+13x+15}{x+5}=x^2+3x+3+\dfrac{2x^2+10x+3x+15}{x+5}=\\\\\\=
x^2+3x+3+\dfrac{2x(x+5)+3(x+5)}{x+5}=\\\\\\=x^2+3x+3+\dfrac{(2x+3)(x+5)}{x+5}=x^2+3x+3+2x+3=\\\\\\=\boxed{x^2+5x+6}

Answer B.
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Assume that you purchased a new car today and financed $55,000 of the price on a 72-month payment contract with a nominal rate o
katovenus [111]

Answer:

The amount that your loan balance will be when you pay off the car is $20,566.18.

Step-by-step explanation:

Step 1. Calculation of monthly payment

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new car = $55,000

P = Monthly payment = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number of months = 72

Substitute the values into equation (1) and solve for P, we have:

$55,000 = P * ((1 - (1 / (1 + 0.005))^72) / 0.005)

$55,000 = P * 60.3395139355201

P = $55,000 / 60.3395139355201 = $911.51

Step 2. Calculation of the loan amount balance when you pay off the car

This can be calculated using the ballon payment formula as follows:

P = (PV - (Ballon / (1 + r)^n)) * (r / (1 – (1 + r)^-n)) ...................... (1)

Where:

P = Monthly payment = $911.51

PV = Present value or the cost of the new car = $55,000

Ballon = Ballon payment or the loan amount balance when you pay off the car = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number months to pay off the loan amount balance = 48

Substituting the values into equation (1) and solve for Ballon, we have:

911.51 = (55,000 - (Ballon / (1 + 0.005)^48)) * (0.005 / (1 - (1 + 0.005)^-48))

911.51 = (55,000 - (Ballon / 1.27048916109538)) * 0.0234850290479363

911.51 / 0.0234850290479363 = 55,000 - (Ballon / 1.27048916109538)

38,812.39 = 55,000 - (Ballon / 1.27048916109538)

Ballon / 1.27048916109538 = 55,000 - 38,812.39

Ballon / 1.27048916109538 = 16,187.61

Ballon = 16,187.61 * 1.27048916109538

Ballon = $20,566.18

Therefore, the amount that your loan balance will be when you pay off the car is $20,566.18.

5 0
3 years ago
Each of the past 7<br> days, Frank traveled <br> 37.8miles. How many miles did he travel in all?
ValentinkaMS [17]

37.8 x 7 = 264.6

Check:

264.6/7 = 37.8

Frank traveled 264.6 miles altogether in the past 7 days.

Hope this Helps!!

7 0
3 years ago
7
Valentin [98]

9514 1404 393

Answer:

  A.  -1 ≤ x ≤ 3

Step-by-step explanation:

The range is the horizontal extent of the graph--the set of x-values for which the function is defined. Here, the graph extends from x = -1 to x = 3, with both end points included. The range is ...

  -1 ≤ x ≤ 3

5 0
2 years ago
Identify the coefficient:3n+9
aev [14]
3 is the coefficient because n is the variable
8 0
3 years ago
In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.
Alona [7]
Y=600000(1+1.8%)^(x-2000)
So the population in 2012
Y=600,000×(1+0.018)^(2,012−2,000)
Y=743,232
6 0
3 years ago
Read 2 more answers
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