Select the two values of x that are roots of this equation

Answer:

a. It will take approximately 40 months

b. The total amount Paul has to pay is approximately $8,000

c. The amount Paul pays each month is approximately $316.59

d. The amount Paul has to pay is approximately $7,598.16

e. Lower monthly payment

f. Lower total payment amount (amount to be paid)

Step-by-step explanation:

a. The loan amount, PV = $7,000

The annual interest rate, r = 8%

Option 1; The amount of equal monthly payment to repay the loan = $200

Option 2; The number of equal monthly payment to repay the loan = 24

The formula for the present value of an annuity is given as follows;

[tex]PMT = \dfrac{\dfrac{r}{12} \times PV}{1 - \left (1 + \dfrac{r}{12} \right)^{-n}}[/tex]

Where;

PMT = The monthly payment

n = The number of months

Where PMT = $200, we have;

[tex]200 = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-n}}[/tex]

[tex]1 - \dfrac{\dfrac{0.08}{12} \times 7,000}{200} = \left (1 + \dfrac{0.08}{12} \right)^{-n}[/tex]

[tex]1 - \dfrac{7}{30} = \dfrac{23}{30} = \left ( \dfrac{151}{150} \right)^{-n}[/tex]

[tex]-n = \dfrac{ ln \left(\dfrac{23}{30} \right)}{ln\left(\dfrac{151}{150} \right) } \approx -39.988[/tex]

∴ The number of months it will take for Paul to repay the loan, n ≈ 39.988 ≈ 40 months

b. The total amount Paul has to pay, A = PMT × n

Therefore, b plugging in the values of PMT, and 'n', we get;

A ≈ $200 × 40 = $8,000

c. Using option 2, we have;

n = 24

Therefore;

[tex]PMT = \dfrac{\dfrac{0.08}{12} \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-24}} \approx 316.59[/tex]

The monthly payment, PMT ≈ $316.59

d. The total amount Paul has to pay using option 2, A ≈ 316.59 × 24 = 7,598.16

The total amount Paul has to pay using option 2, A ≈ $7,598.16

e. A reason why Paul might choose option 1 is that option 1 offers lower monthly payment

f. A reason why Paul may choose option 2 is that option 2 offers a lower total amount that he has to pay.

A) It will take 48 months for Paul to repay the loan.

B) Paul will have to pay $ 9,523.42.  

C) Paul should pay $ 340.20 per month.

D) Paul will have to pay $ 8164.80.

E) Paul might choose option 1 because his monthly payments would be lower and, therefore, more accessible.

F) Paul might choose option 2 because his total payout would be much less than option 1.

Since Paul wants to buy a car, and he needs to take out a loan for $ 7000, and the car salesman offers him a loan with an interest rate of 8%, compounded annually, and Paul considers two options to repay the loan (Option 1: Pay $ 200 each month, until the loan is fully repaid, and Option 2: Make 24 equal monthly payments), for:

The following calculations must be performed:

A) 7000 x 1.08 ^ 4 = 9,523.42

200 x 12 x 4 = 9600

Therefore, it will take 48 months for Paul to repay the loan.

B) Paul will have to pay $ 9,523.42.

C) 7000 x 1.08 ^ 2 = 8,164.80

8,164.80 / 24 = 340.20

Therefore, Paul should pay $ 340.20 per month.

D) Paul will have to pay $ 8164.80.

E) Paul might choose option 1 because his monthly payments would be lower and, therefore, more accessible.

F) Paul might choose option 2 because his total payout would be much less than option 1.

Learn more about maths in https://brainly.com/question/26050723

Answer:

M N o 3 9:Ol length-P∆kon-60+39-99

f + 6 = ?

Well, the answer can be pretty much any number. It all depends on what number f is. f is a variable, so you can plug in any number to replace f.

For example, if f was 5, this is what the equation would look like:

5 + 6 = 11

If f was -3, this is what the equation would look like:

-3 + 6 = 3

So, again, the answer can be anything. It depends on what f is.

Answer:

Step-by-step explanation:

27 + D + 2A + C = 25 + D + B + C + A

subtract D, A, C on both sides

=> 27 + A = 25 + B

=> B = A + 2

3D + A + 29 = 2B + D + A + 27

=> 2D + 29 = 2B + 27

=> 2D = 2B + 27 - 29

=> D = B - 1

substitute:

27 + (B - 1) + 2(A + 2) + A = 2A + B + 30

substitute again:

2A + (A + 2) + 30 = 3A + 32

Answer:

1/5

Step-by-step explanation:

Answer:

1/5 is the correct answer on edge. 2021

Step-by-step explanation:

Answer:

43.982297cm

Step-by-step explanation:

hope that helps

have a great day/night

19NBoli

Step-by-step explanation:

if ur radius is 7cm

then

circum of a circle =2pi r

2×3.14×7=43.96

Answer:

Tom

Step-by-step explanation:

After you convert them to decimals 131/593 is 0.22091062394 while 2/9 is 0.22222222222

Answer:

Step-by-step explanation:

Answer:

I think the correct answer is B

Answer:

1

answer is D

Step-by-step explanation:

we must calculate it from this equation :

x³ -9x²+27x-25 then

[tex] {2}^{3} -( 9 \times 4 )+ (27 \times 2) - 25 = 1[/tex]

Answer:

[tex]1.8[/tex]

Step-by-step explanation:

Since the time for the pot of water to boil is inversely proportional to the cooker setting, H, as one goes up, the other must go down:

[tex]T\propto \frac{1}{H}[/tex]

Convert 5 minutes to seconds:

[tex]5\cdot 60=300\:\mathrm{s}[/tex]

Therefore, from the initial data given (When H=6, T=90), the new time is [tex]\frac{300}{90}=3\frac{1}{3}[/tex] larger. Therefore, H must be [tex]3\frac{1}{3}[/tex] times smaller for them to be inversely proportional.

[tex]H=\frac{6}{3\frac{1}{3}}=\boxed{1.8}[/tex]

Answer:

Caitlyn Marie Jenner is an American media personality, socialite, political candidate and retired Olympic gold medal-winning decathlete. Jenner played college football for the Graceland Yellowjackets before incurring a knee injury that required surgery. Convinced by Olympic decathlete Jack Parker's coach, L. D.

Step-by-step explanation:

Hope this helps! Have a good day!

Answer:

Pretty sure 4.1 is an even number, 88° to be exact.

since your homework is quite much and kinda boring, the only thing you could offer me as motivation are brainliests. like in reposting the same sheet.

but this here for free: the of all three angles inside a triangle is 180 degrees.

half a turn of a full circle is 180 degrees, wich is important to calculate excercises 2 and 3 using subtraction.

for the first brainliest you can have 1-4

for the second 5-7 and for the third and fourth 8-9 and 10-11.

the whole sheet for a maybe-brainliest just isn't enough. it's like half an hour of grind work man

f(x)=3x−4 Input is x=3 , Output is

3X3-4= 5

f(x)=−4x+3 Input is x=−3 , Output is

4x-3 +3 = -9

f(x)=−x−1 Input is x=−4 , Output is

-(-4-1) =-(-5) =5

f(x)=x2 Input is x=5 , Output is

5x2=10

hope it will help you

Answer:

A = 20.25 sq units

Step-by-step explanation:

to find the area of a square you only need to know the measure of one side -- all other sides will be equal to it

it appears the segment is 4.5 units so you would square that to get the area

A = 4.5²

A = 20.25

Answer:

30 squares would be next in sequence

Step-by-step explanation:

each block of squares are adding as many as it takes to make an L around the previous square

A triangular pyramid has 4 vertices and triangular prisms 6 vertices

Answer:

119

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

im sure now

Answer:

B = 42

Step-by-step explanation:

B × 2/7 = A

A ÷ 2/7 = B

12 ÷ 2/7 = B

B = 42

Step-by-step explanation:

simple

multiples of 6= 1, 2, 3, 6

multiples of 12= 1, 2, 3, 4, 6, 12

.L.C.M of 12 and 6= 12

Answer:

??

Step-by-step explanation:

Can't see that clear

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Answer:

(x - 5)(x + 2)(x + 5)

Step-by-step explanation:

x³ + 2x² - 25x - 50

x³ + 7x² - 5x² - 35x + 10x - 50

x(x² + 7x + 10) - 5(x² + 7x + 10)

(x - 5)(x² + 7x + 10)

(x - 5)(x² + 2x + 5x + 10)

(x - 5)(x(x + 2) + 5(x + 2))

(x - 5)(x + 2)(x + 5)

Answer:

3

Step-by-step explanation:

How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi

Number of times = volume of tank /volume of cylinder

volume of cylinder = πr²h

3.14 x 5² x 20 = 1570

4710 /  1570 = 3 times

Answer:the answer to this is 16x -16y=5.

step by step explanation:.

4x+8y=24y=-12x+5

= 4x+13x+8y-24y=5.

16x - 16y =5.

Answer:

It's an exponential function

Step-by-step explanation:

That's one statement

Hope it helped

Step-by-step explanation:

I think 4 (x-3)=32 is right

Answer:

The numbers are 18, 13, and 72.

Step-by-step explanation:

Let the three numbers be represented by a, b, and c.

The sum of the three is 103. Thus, we can write that:

[tex]a+b+c=103[/tex]

The second number is five less than the first. So:

[tex]b=a-5[/tex]

And the third number is four times the first. So:

[tex]c=4a[/tex]

Substitute:

[tex]a+(a-5)+(4a)=103[/tex]

Solve for a. Combine like terms:

[tex]6a-5=103[/tex]

Add five to both sides:

[tex]6a=108[/tex]

And divide both sides by six. Therefore:

[tex]a=18[/tex]

So, the first number is 18.

Since the second number is five less than the first, the second number is 13.

And since the third number is four times the first, the third number is 72.

Answer:

constant: 4

coefficent: 7, 18 (However, -1 can also be counted as a coefficient, it is just invisible!)

Step-by-step explanation:

coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

therefore, 7 and 18 are coefficients. HOWEVER, -1 can also be a coefficient to -z.

constant: a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

therefore, 4 is a constant.

hope this helps! if it does, please mark brainliest! thanks!

Answer:

4

-1, -7, 18

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-8 - (-2)]² + (3 - 3)²

√(-6)² + (0)²

√36

= 6