help pleaseee due tonight :(

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.

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Answer:

5 1/3 > 5.3

Step-by-step explanation:

1/3 = 0.333... so 5 1/3 > 5.3 as 5 1/3 = 5.333...

The fraction 5 1/3 is greater than 5.3.

A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. A fraction represented with its quotient and remainder is a mixed fraction.

For the given situation,

The decimal number is 5.3.

The mixed fraction is 5 1/3.

First, convert this fraction to a decimal number to check which is greater.

[tex]5\frac{1}{3}=\frac{16}{3}[/tex]

⇒ [tex]5.33[/tex]

On comparing these two decimals 5.33 and 5.3, we can conclude that    5 1/3 is greater than 5.3.

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Answer:

M N o 3 9:Ol length-P∆kon-60+39-99

Answer:

The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h

Step-by-step explanation:

At noon the location of Lan = 300 km north of Makenna

Lan's direction = South

Lan's speed = 60 km/h

Makenna's direction and speed = West at 75 km/h

The distance  Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km

The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km

The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km

Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.

By Pythagoras' theorem, we have;

s² = x² + y²

The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61

ds²/dt = dx²/dt + dy²/dt

2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt

2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900

ds/dt = 900/(2×30·√61) ≈ 1.92

The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h

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:

Answer is Option A

Step-by-step explanation:

3 / 2 x - 1 /2

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

D

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] ( - [tex]\frac{3}{2}[/tex] x + 6x + 1) - 3x ← distribute parenthesis

= [tex]\frac{3}{4}[/tex] x - 3x - [tex]\frac{1}{2}[/tex] - 3x

=  [tex]\frac{3}{4}[/tex] x - 6x - [tex]\frac{1}{2}[/tex]

= [tex]\frac{3}{4}[/tex] x - [tex]\frac{24}{4}[/tex] x - [tex]\frac{1}{2}[/tex]

= - [tex]\frac{21}{4}[/tex] x - [tex]\frac{1}{2}[/tex]

= - 5 [tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] → D

Answer:

Step-by-step explanation:

This is hard

Answer:

1/5

Step-by-step explanation:

Answer:

1/5 is the correct answer on edge. 2021

Step-by-step explanation:

Answer:

12 apple pies

Step-by-step explanation:

If he uses 6 apples for each pie and he has 12 bags of apples with 6 apples in each bag, then we can infer that each bag is one pie.

So, 1x12 = 12 apple pies

Hope this helped :)

Answer:

100, 50, 25, 12.5, 6.25

Step-by-step explanation:

Since the number in the sequence is half of the previous value so

1st term: 100

2nd term: 50

3rd term: 25

4th term: 12.5

5th term: 6.25

I think

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. Two angles can be vertical and supplementary.

ii. Yes, we can determine the angles.

Step-by-step explanation:

When two angles are vertical, it implies that they are equal (with respect to vertical opposite property). While two angles are supplementary if and only if they add up to 180 degrees .

It is not mandatory for the two angles to be beside each other so as to be supplementary. So that in this special case, the only measure of angles that can be both vertical and supplementary is 90 degrees .

This answer is right. Please mark Brainliest!

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:

W%8$9$$+#(99(($$(%49$($(%($($9$9$$9%9

Answer:

39 dollars per day

Step-by-step explanation:

Take the total cost and divide by the number of days

78/2 =39

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:

133

Step-by-step explanation:

Because the figure is an irregular figure we need to break it up into two regular figures

The figure would be broken into..

A square with a side length of 4

And a rectangle with a length 13 and a width of 9

We now find the areas of the regular figures and add them together to get our answer

For the square.

To find the area of a square simply square the side length

Area = 4^2 = 16

For the rectangle

to find the area of the rectangle simply multiply the Length by the width

Area = 13*9= 117

Finally add the two areas together to get the area of the composite figure

117 + 16 = 133

Answer:

119

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

im sure now

Answer:

A) -16y+24

Step-by-step explanation:

Distribute -3 with 4y and -8

-12y+24-4y

Add -12y and -4y

-16y+24

Answer is -16y+24

Hope this helps!

Answer: I think the answer is B

Hope this helps :)

The solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

The given equation is;

[tex]\rm x^2 + 2x = 25\\\\x^2+2x-25=0[/tex]

The solutions to the quadratic equation is determined by the following formula;

[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Where the value of a = 1, b = 2, and c = -25.

Substitute all the values in the formula;

[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\\rm x =\dfrac{-2\pm \sqrt{2^2-4\times 1\times (-25)} }{2\times 1}\\\\ x =\dfrac{-2\pm \sqrt{4+100} }{2}\\\\x =\dfrac{-2\pm \sqrt{104} }{2}\\\\x =\dfrac{-2\pm \sqrt{26 \times 2\times 2} }{2}\\\\x =\dfrac{-2\pm 2\sqrt{26 }}{2}\\\\x = 2 \times \dfrac{-1\pm \sqrt{26 }}{2}\\\\x=-1\pm \sqrt{26 }[/tex]

Hence, the solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].

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