What is the meaning of the unknown factor or quotient

Answers

Answer 1

Answer:
The quotient is the answer to a division problem.

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Milli plans to rent a room for her birthday party for $40. The catering charge is $12 per person but there is no charge for Milli's meal since she is the guest of honor. If Milli has $100 to spend on her birthday party, how many guests can she invite?
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The expression (x8 - 48) can be factored as (x2 - 42)2 (x2 + 42)2. a. True b. False
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Do the data in the table represent a direct variation or an inverse variation? write an equation to model the data in the table. x 1 2 5 10

y 40 20 8 4

a. Direct variation; y=40x
b. Direct variation; y=(1/40)x
c. Inverse variation; xy=40
d. Inverse variation; xy=1/40

I feel so stupid for not knowing the answer, please explain it to me.

Answers

x =   1, 2, 5, 10
y = 40,20, 8,   4

a) y = 40x
y = 40(1) = 40   ; y = 40(2) = 80 ;
y = 40(5) = 200 ; y = 40(10) = 400

b) y = (1/40)x ;
y = (1/40)1 = 1/40 ; y = (1/40)2 = 1/20 ;
y = (1/40)5 = 1/8 ; y =(1/40)10 = 1/4

c) xy = 40 ⇒ y = 40/x
y = 40/1 = 40 ; y = 40/2 = 20
y = 40/5 = 8 ; y = 40/10 = 4

Inverse variation. Choice C. xy = 40  is the correct answer.

Connor is a prospective student who has been accepted for a $50,000 student loan from two different loan providers. He wants to select the student loan with the lowest total cost. The first loan is a 10-year loan at 4% and the second loan is a 20-year loan at 3%. Both loans compound the interest monthly. Which student loan should Connor select?

Answers

Answer:

To figure out which loan has the lower total cost, we need to calculate the total repayment amount for both loans.

The formula to calculate the monthly payment for a loan is:

P = [r*PV] / [1 - (1 + r)^-n]

where:

P is the monthly payment

r is the monthly interest rate (annual rate / 12)

PV is the present value, i.e., the loan amount

n is the number of payments (months)

For the first loan:

r = 4% / 12 = 0.00333 (approximately)

n = 10 years * 12 = 120 months

PV = $50,000

Plugging these numbers into the formula, we get the monthly payment for the first loan.

For the second loan, we do the same calculation, but with r = 3% / 12 and n = 20 * 12.

After we have the monthly payments, we multiply each by the total number of payments (n) to get the total repayment amount for each loan. The loan with the lower total repayment amount is the one Connor should select.

I hope that helps

Answer:

Connor should select the 10-year loan because it has a lower total cost than the 20-year loan.

Step-by-step explanation: To calculate the total cost of each loan, first find the monthly payment of the loans. Use the formula below to find the monthly payments, where P is the monthly payment, L is the principal amount of the loan, i is the interest rate, and n is the duration of the loan.

P=L×i1−(1+i)−n

The loan amount needed, L, is $50,000 for both loans. Since the interest rate is compounded monthly, the interest rate offered is 4% per year or 0.0412 per month. The time period is 10 years or 120 months. Substituting the values into the formula and converting the interest rate to the monthly rate yields the following.

PP=50,000×0.04121−(1+0.0412)−120≈$506.23

Multiply the monthly payment by the number of months in the loan, 120, to determine the total cost of the loan.

$506.23×120=$60,747.60

Now calculate the monthly cost of the 20-year loan.

PP=50,000×0.03121−(1+0.0312)−240≈$277.30

$277.30×240=$66,552

Since the total cost of the 10-year loan, $60,747.60, is less than the total cost of the 20-year loan, $66,552, Connor should select the 10-year loan.

Your answer:

Connor should select the 20-year loan because it costs less than the 10-year loan.

The 20-year loan has a total cost of $66,552 while the 10-year loan has a total cost of $60,747.60.

Solve the following inequality: 5x + 3 < 6x + 2

Answers

Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth.

Answers

$3 x^(2) + x + 10 = 0$
$x = \frac{-b(+or-) \sqrt{ b^(2) - 4ac } }{2a}$
$x = \frac{-1(+or-) \sqrt{ 1^(2) - 4(3)(10) } }{2(3)}$
: . x = \frac{-1 + \sqrt{-119} }{6} OR $x = (-1 - √(-119) )/(6)$

Thus the roots or the solutions to this equation are imaginary because the discriminant $√(-119)$ is negative and a negative number is undefined when rooted.

a cyclist covers a distance of 12 km at a speed of 8 km per hour calculate the time taken to cover this distance

Answers

1.5 hours

To find how long it took for them to travel 12km, subtract 8 from 12. (4)

If it took them 1 hour to travel 8km and 4 is half of 8, then it would have took them 1 and a half hours to travel the 12km.

If you need a larger explanation, please let me know :)

Hope this helps!

Need anything else?

Solve the inequality. |3x + 6| < 12A. –6 > x > 2

B. –2 < x < 2

C. –6 < x < 2

D. –21 < x < 3

Answers

The solution to the inequality |3x + 6| < 12 is -6 < x < 2, which corresponds to option C.

To solve the inequality |3x + 6| < 12, we can break it down into two separate inequalities:

3x + 6 < 12

-(3x + 6) < 12

Solving the first inequality:

3x + 6 < 12

Subtracting 6 from both sides:

3x < 6

Dividing both sides by 3 (since 3 is positive, we don't need to change the direction of the inequality):

x < 2

Solving the second inequality:

-(3x + 6) < 12

Distributing the negative sign:

-3x - 6 < 12

Adding 6 to both sides:

-3x < 18

Dividing both sides by -3 (since -3 is negative, we need to change the direction of the inequality):

x > -6

Combining the solutions from both inequalities, we have:

-6 < x < 2

Therefore, the correct option is C. -6 < x < 2.

To know more about inequality :

brainly.com/question/21857626

#SPJ2

Hello,

Answer C

if 3x+6>0 then |3x+6|=3x+6
==> 3x+6<12==>3x<9==>x<2
else
|3x+6|=-3x-6
-3x-6<12==>-3x<18==>x>-6

-6<x<2

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