Niki makes the same payment every two months to pay off his $61,600 loan. the loan has an interest rate of 9.84%, compounded every two months. if niki pays off his loan after exactly eleven years, how much interest will he have paid in total? round all dollar values to the nearest cent. a. $39,695.48 b. $10,294.26 c. $3,126.29 d. $39,467.12 please select the best answer from the choices provided a b c d

Answers

Answer 1

The interest that Niki paid in total will b A $39,695.48

what will be the interest paid by Nikki?

We will use the formula of amount for two monthly compounded

[tex]A=\dfrac{P(1-(1+\dfrac{r}{t}^{-nt} )}{\dfrac{r}{t} }[/tex]

P is the periodic payment.

Here, A = $61,60

r = 0.0984

t = 6

n = 11 years  

By putting values in the formula we get,

[tex]61600=\dfrac{P(1-(1+\dfrac{0.0984}{6} ^{-11\times6} )}{\dfrac{0.0984}{6} }[/tex]

[tex]61600=\dfrac{P(1-(1+0.0164)^{-66}}{0.0164}[/tex]

[tex]1010.24=P(1-0.341769)[/tex]

[tex]1010.24=0.658231\times P[/tex]

[tex]P=$1534.78[/tex]

So, Niki pays $1534.78 every two months for eleven years.

Now the total payment made by Niki = [tex]11\times 6\times 1534.78=101295.48[/tex]

Hence, interest paid is = [tex]101295.48-61600=39695.48[/tex]

Thus interest that Niki paid in total will b A $39,695.48

To know more about Compound interest follow

https://brainly.com/question/24924853

Answer 2

Answer:

A $39,695.48

Step-by-step explanation:

got it right on edge ;)


Related Questions

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Common ratio is 4

means each time the sequence becomes 4times more

Check B

1(4)=44(4)=16

Check D

2(4)=88(4)=32

Yes, Option B and D are correct

2b + y = 15 is this an expression?

Answers

Answer:

No, it's not.

Step-by-step explanation:

2b + y = 15 is not an expression because it's an equation containing an equal sign. An expression cannot include inequality signs or equal signs.

Answer:

Step-by-step explanation you do the inverse which is subtraction and you get y

2-2=0 15-2=13 y=13

11) through: (-1, 2), slope = -1
.
A) x-2y=1
B) x + 2y = 1
C) 2x - y = 2 D) r + y = 1

Answers

Answer:

x+y=1

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-1(x-(-1))

y-2=-(x+1)

y=-x-1+2

y=-x+1

y-(-x)=1

y+x=1

x+y=1

Is this a function or not?

Answers

no! if two points are on top of each other its not a function! it doesnt pass the "vertical line test"

Find the value of x for which ABCD must be a parallelogram.

Answer options:


5


3


17


34

Answers

Answer:

Opposite sides of the parallelogram are equal :

→ BC = AD

→ 5x - 8 = 2x + 7

→ 5x - 2x = 7 + 8

→ 3x = 15

→ x = 15/3

x = 5

Therefore, the value of x is 5.

What is the solution to the equation?
x^2=40

Will give brainliest if correct and explained!!

Answers

Answer: 2√10

Step-by-step explanation:

A way we can find what x equals, is to find the opposite of what ever sign is on a side, in the equation x^2=40, the opposite of squaring is to find the square root of it.

It is important that what you do to one side, you do to the other.

So we have to square root both sides so we can get rid of the ^2 on x to get x =. This would look like √x^2 = √40

The square root of x^2 would revert back to just x

To find the square root of 40, its important to first see if its a perfect square. In this scenario, it isnt. Because it isnt, we have to find the closest perfect square that we can multiply to get 40, in this equation, the closest would be 4 so we do 4*10.

Then we reduce the 4 by square root and we get 2

Then we cant do anything else with the 10, so we would right the answer as a radical, with the square root you got from the perfect square on the outside and the remainder on the inside of the square root, like x√r where x is the number obtained from square root and r is the remainder that we cant do anything else with.

After doing this, we get the answer 2√10, which can be said "two radical ten"

Cristoff practices playing his guitar for 1 1/2 hours each weekday. He practices this amount of time plus an additional 1 1/2 hours on sundays. Let X = The equation and solve to find the number hours he practices on Sundays

Answers

Answer:

X=3 hours

Step-by-step explanation:

1)     1 1/2 + 1 1/2 = x

2)     3=x

3)      x=3

Which of the following is the graph of f(x) = x 3?



Click on the graph until the correct graph appears.

Answers

Step-by-step explanation:

I assume you meant to type f(x) = x³

Graph the function into desmos (or calculator if you have a graphing calculator)

Be sure to express answers with positive exponents
(B^3)^2

Answers

Answer:

b[tex] {}^{6} [/tex]

Step by Step Solution

STEP 1:

1.1 b[tex] {}^{3} [/tex]raised to the 2 nd power = b([tex] {}^{( 3 * 2 )} [/tex]= b[tex] {}^{6} [/tex]

Final result :

b[tex] {}^{6} [/tex]

Two numbers multiply together to give -20 and add together to give – 1.
What are the two numbers?

Answers

Answer:

-5x4=-20

Step-by-step explanation:

and also

-5 + 4 = -1

so -5 and 4

which of the following is NOT an example of supplementary angles?

A. < 7 & < 8
B. < 2 & < 3
C. < 1 & < 7
D. < 6 & < 4

please answer ASAP!
-10 points will be given
-brainliest

Answers

Answer:

B. < 2 & < 3

Explanation:

Supplementary Angles are angles that sum up to 180°.

Example of supplementary angles in the image:-

Angle 1 and 2Angle 3 and 4Angle 5 and 6Angle 7 and 8Angle 2 and 4Angle 1 and 3Angle 6 and 8Angle 5 and 7

Bruce is inches taller than Tim. If Bruce is inches​ tall, what is the best estimate of​ Tim's height? Question content area bottom Part 1 Tim is about    enter your response here inches tall. ​(Type a whole​ number, fraction, or mixed​ number. )

Answers

i believe Tim and Bruce are taller than each other therefore the answe is 1/2

1130. 973 to 3 significant number​

Answers

Answer:1130

Step-by-step explanation:

Alex and James both have a bag of marbles.
* Alex's bag has 10 red marbles and 10 blue marbles.
James's bag has 15 red marbles, 10 blue marbles and 5 green marbles.
They each take a marble out of their bag without looking.
Select the statements that are correct:
-
A - They both have the same probability of picking a blue marble.
B - The probability of Alex picking a red marble is 50%.
C - They both have the same probability of picking a red marble.
D - The probability of James picking a green marble is 5%.
E - James has a higher chance of picking a red marble than Alex.

Answers

Answer:

[B] The probability of Alex picking a red marble is 50%.

[C] They both have the same probability of picking a red marble.

Step-by-step explanation:

Given;

Alex and James both have a bag of marbles.

Alex's bag has 10 red marbles and 10 blue marbles.

James's bag has 15 red marbles, 10 blue marbles and 5 green marbles.

They each take a marble out of their bag without looking.

Solve;

Alex have 10 Blue marbles so 10 out of 20 are Blue.

James has 10 Blue Marbles so 10 out of 30 are Blue.

Hence, [A] They both have the same probability of picking a blue marble.

is False.

Alex have 10 red and 10 blue which 10 = 10

thus, [B] The probability of Alex picking a red marble is 50%.

Alex's have 10 red marbles and James's have 15 red marbles.

10 out of 20 of them are red. Thus, that 50%

15 out of 30 of them are red. Thus, that 50%

50%  = 50%

Hence, [C] They both have the same probability of picking a red marble.

is true.

James have 15 red, 10 Blue, 5 Green marbles.

15 + 10 + 5 =30 [ Total ]

5 out of 30 is Green

5/30 = 0.16666666666

Round = 16.67%

Hence, [D]  The probability of James picking a green marble is 5%.

is False.

15 out of 30 and 10 out of 20

15/30 = 50% and 10/20 = 50%

Thus, [E] James has a higher chance of picking a red marble than Alex.

is False.

~Learn with Lenvy~

Select the statements that are correct:

A - They both have the same probability of picking a blue marble. [ x ]

B - The probability of Alex picking a red marble is 50%. [✓]

C - They both have the same probability of picking a red marble. [✓]

D - The probability of James picking a green marble is 5%. [x]

E - James has a higher chance of picking a red marble than Alex. [x]

We know that ,

[tex]probability \: \% = \frac{favourable \: outcomes}{total \: outcomes} \times 100 \\ [/tex]

Alex has

10 red marbles

[tex] \frac{10}{20} \times 100 = 50\% \\ [/tex]

10 blue marbles

[tex] \frac{10}{20} \times 100 = 50\% \\ [/tex]

James has

15 red marbles

[tex] \frac{15}{30} \times 100 = 50\% \\ [/tex]

10 blue marbles

[tex] \frac{10}{30} \times 100 = 33.33\% \\ [/tex]

5 green marbles

[tex] \frac{5}{30} \times 100 = 16.66\% \\ [/tex]

Find the hypotenuse round to the nearest hundredth

Answers

Answer:

7.62

Use the Pythagorean theorem. (a^2)+(b^2)=(c^2)

(3^2)+(7^2)=58

Then the square root of 58 is 7.61577 rounding that to the hundredths gives you 7.62

7.62

To round find the hypotenuse, use the Pythagorean theorem which states that A squared plus B squared = C squared which is the answer to our problem. Then find the square root of the solution and voila.

it takes a day to build 2/3 of a model airplane gow many model airplanes can be built in 6 days​

Answers

Answer:

4 airplanes

Step-by-step explanation:

1 = 2/3

6 = x

cross multiply

x = 6 × 2/3

therefore x = 4

Answer:

4 airplanes

Step-by-step explanation:

1 =2/3

6 =×

you have to cross multiply

× =6×2/3

Therefore x=4

find the missing side length

Answers

Answer:

n = 5

Step-by-step explanation:

it is stated that the two triangles are similar so we can use the similarity ratio to find the value of n:

RQ/BA = QR/AC

n/2 = 10/4 cross multiply expressions

4n = 20 divide both sides by 4

n = 5

Help me: Solve for x. 7-2x=9

Answers

Answer: x=-1

Step by step explanation:

First you subtract 7 from 9 which will get you -2x=2

Then you will divide -2x by 2

Resulting in your answer x=-1

3 more than the quotient of 18 and x

Answers

Answer:

18/x + 3

Step-by-step explanation:

This can be written algebraically as 18/x +3. This question is a little unclear, but I think it’s asking to write it as an equation

In right triangle ABC, angle C = 90˚. Median AM has a length of 19, and median BN has a length of 18. What is the length of the hypotenuse of the triangle?

Answers

Answer:

2[tex]\sqrt{137}[/tex]

Step-by-step explanation:

Solving for the equations,

x² + 4y² = 361

4x² + y² = 324

Add both equations

5x² + 5y² = 685

Divide both sides by 5

x² + y² = 137

Multiply both sides by 4

4x² + 4y² = 548

Now take the square of both sides.

[tex]\sqrt{4x^{2} +4y^{2} } =\sqrt{548}[/tex]

= 2[tex]\sqrt{137}[/tex]

Answer: [tex]2\sqrt{137}[/tex]

Step-by-step explanation:

Trust me i'm good at geometry. Besides, if you actually paid attention in class, you'd know how to solve this

Jesse spends 12 of his pocket money on Monday.
On Tuesday, he spends 23 of what is left.
On Wednesday, he spends 14 of what remains.

What fraction of the pocket money does he have left? Choose the most reasonable answer.

Answers

Answer: He might have 1$ or 51 $ because he spent 49$ and he could have 50$ as his pocket money or he could have 100$ as his pocket money and had 51$ left

Step-by-step explanation: Hope this helps :)

A survey of teachers in a school found that 7% of teachers use mobile applications for study activities.

What decimal number represents the percentage of surveyed teachers who use mobile applications for study activities?

OA. 7. 00

OB. 0. 07

OC. 7. 07

OD 0. 70

Answers

Answer:

Option C(0.07) is the correct answer.

C is the correct answer

Area of a triangle is 36cm the height is 3 cm whats the base

Answers

Answer:

24 cm

Step-by-step explanation:

area of triangle = (b x h)/2

36 / 3 = 12

12 x 2 = 24 (multiplied because we do the inverse)

to check:

24 x 3 = 72

72 / 2 = 36

If you need further help, let me know!

- profparis

5) Sabiendo que cada barril de petróleo contiene 159 Litros. Averigua:
a) La cantidad de litros que se estima fueron derramados (plantea los cálculos).

b) El costo en dinero que perdió el buque petrolero si cada barril en Uruguay vale $ 3513

(plantea los cálculos).

Answers

Answer:

4/8

Step-by-step explanation:

During the year 2013 approximately 7.07 x10 to the power of 9 pennies were minted (made by the U.S. Mint). In the year
2000 approximately 1.43x 10 to the power of 10 were minted. Estimate how many times more pennies were minted in the
year 2000 compared to the year 2013. Give a possible explanation for the decline.

Answers

Using proportions, it is found that 2.04 times more pennies were minted in the year 2000 compared to the year 2013.

What is a proportion?

A proportion is a fraction of a total amount. From it, the amount of times a measure a is greater than a measure b is given by a divided by b.

In this problem:

In 2013, the quantity was of [tex]7.07 \times 10^9[/tex].In 2000, the quantity was of [tex]1.43 \times 10^{10}[/tex]

Hence, 2.04 times more pennies were minted in the year 2000 compared to the year 2013.

Hence, applying the proportion:

[tex]\frac{1.43 \times 10^{10}}{7.07 \times 10^9} = \frac{14.3 \times 10^9}{7.07 \times 10^9} = 2.04[/tex]

More can be learned about proportions at https://brainly.com/question/14398287

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the cover? Use Pi = 3. 14 and round the answer to the nearest square foot. Ft2.

Answers

She needs to purchase a cover to protect the hot tub of an area of 38.5 square feet.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub.

The area of the circle is given by

[tex]\rm Area = \dfrac{\pi}{4}d^2[/tex]

We have d = 7 ft, then the area of the circle will be

[tex]\rm Area = \dfrac{3.14}{4}*7^2\\\\Area = 38.5 \ ft^2[/tex]

More about the circle link is given below.

https://brainly.com/question/11833983

can you put 2x-y=7 into y equals

Answers

Subtract 7 from both sides 2x-y-7=0

Then add y to both sides 2x-7=y

Answer:

y = 2x - 7

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

2x - y - 2x = 7 - 2x-y = -2x + 7

Step 2: Divide both sides by -1.

-y/-1 = (-2x + 7)/-1y = 2x - 7

In the two expressions shown below, r is not equal to zero.
What value of x makes the expressions equivalent?

Answers

x would be equal to 7

How many times greater than 6 x 10^6 is 2.4 x 10^8 ? Show ur work

Answers

Answer:

40 times greater

Step-by-step explanation:

6 x 10^6 = 2.4 x 10^8

6 x 1000000 = 2.4 x 100000000

6000000  =  240000000

240000000 / 6000000

= 40

I hope this helps <3

ILL GIVE BRAINLIEST 1-4 please and explain

Answers

Step-by-step explanation:

1) 320 to 180

2) 320 to 500

3) 500 to 180

4) 320 to 500

Answer:
1. 320 to 180
2. 320 to 500
3. 500 to 180
4. 320 to 500

Step-by-Step Explanation:
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