Find the present value of the following future amount.

​$2000 at ​12% compounded annually for 25 years


The present value is ​$ _____

(Round to the nearest cent as​ needed.)

Answer:

The mean is 33 and the MAD is 6.

Step-by-step explanation:

I took it on edge and got it right. Sorry I don't have a better explanation.

The person above me is correct.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The probability of getting both fashion and health magazine without replacement is 2/7.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a shelf contains 3 fashion magazines and 4 health magazines.

Total number of books = 7

Number of fashion magazines = 3

Number of health magazines= 4

Probability of getting fashion magazines = 3/7

Probability of getting health magazines = 4/6

Probability of getting both the events = 3/7 ×4/6

= 1/7 ×4/2

= 2/7

Therefore, probability of getting both fashion and health magazine without replacement is 2/7.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

Logical first step: divide everything by

3

Explanation:

→

x

2

−

8

x

+

8

=

0

Completing the square would mean: taking half of the

x

-coefficient and squaring that:

x

2

−

8

x

+

(

−

4

)

2

=

x

2

−

8

x

+

16

=

(

x

−

4

)

2

But we still have to balance the

16

with the

8

we had:

→

x

2

−

8

x

+

16

→(x−4)2−8=0→(x−4)2=8

So

x-4=√8=2√2→x=4+2√2

Or

x−4=−√8=−2√2→x=4−2√2

Often written as x1,2=4±2√2

The solution of the given quadratic equation by completing the square method are [tex]2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex].

Completing the square method is factorizing a quadratic equation, and henceforth finding the roots or zeros of a quadratic polynomial or a quadratic equation.

According to the given question.

We have a quadratic equation

[tex]3x^{2} + 24x - 24 = 0[/tex]

The above quadratic equation can be written as

[tex]3(x^{2} + 8x - 8) = 0[/tex]

[tex]\implies x^{2} + 8x -8= 0[/tex]

Now, we will solve the above equation by completing the square method.

[tex]x^{2} +8x - 8= 0[/tex]

[tex]\implies x^{2} + 2(4x) +(4)^{2} -(4)^{2} -8 = 0[/tex]

[tex]\implies x^{2} + 2(4x) + 16 - 16 -8 = 0[/tex]

[tex]\implies (x+4)^{2} - 24=0[/tex]

[tex]\implies (x+4)^{2} = 24[/tex]

[tex]\implies (x+4)^{2} = 24[/tex]

[tex]\implies (x+4) = \sqrt{24}[/tex]

[tex]\implies x+ 4 = \pm 2\sqrt{6}[/tex]

[tex]\implies x = 2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex]

Hence, the solution of the given quadratic equation by completing the square method are [tex]2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex].

Find out more information about completing the square method here:

https://brainly.com/question/26107616

#SPJ2

The slope of the perpendicular line would be the negative reciprocal of the other line.

negative reciprocal of 1/2 = -2

answer: -2

Answer:

C 2/3

Step-by-step explanation:

There are only three names and two of them are boys sooo 2/3

Answer:

960 in squared

Step-by-step explanation:

[tex]\sqrt{16^{2} +12^{2} }[/tex]=20

4*[tex]\frac{1}{2}[/tex]*24*20=960

Answer:

-18 is the ans you can calculate it

Answer:

hotdog is $1.25

hamburger is 1.75

Step-by-step explanation:

Answer:

false true false false

Using the Central Limit Theorem, it is found that the standard error for this sample is of 1.67.

It states that for a population of standard deviation [tex]\sigma[/tex], the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, we have that [tex]\sigma = 10, n = 36[/tex], hence the standard error is given by:

[tex]s = \frac{10}{\sqrt{36}} = 1.67[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

B. 967 units is the answer

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Medical treatments that involve laser beams.

We can measure how far we put perpendicular the laser beam to a patient skin and we can calculate using right triangles how wide the beams go to only target certain cells (like cancer cells.)

Answer:

Step-by-step explanation:Given

-3+(-5)

-3+(-5)=-3-5=-8

Observing option A.) -3+-(-5)=-3+5=2

Observing option B.)-3+5=2

Observing option C.)-5-(-3)=-5+3-2

Observing option D.)-5-(-3)=-5+3=-2

It doesn’t seem that any option is correct maybe ask your teacher show them this or something

Answer:

34 28 37 56 34 37 28 20 43 15

Answer: 9

Step-by-step explanation:

=> 1/4 of 36

=> 'of' always refers to multiplication:

=> 1/4 × 36

=> By cross cancellation of 4 and 36 we get:

=> 1 × 9

=> 9 Answer...

hope that helps...

Answer:

If you mean 6 / 7215 it is 0.00083

but if you meant 7215 / 6 it is 1202.5

Step-by-step explanation:

Answer:

The answer is 486,732

Answer:

2(11x+6)

Simplify to 22x + 12

Greatest common factor is 2

2x11x = 22

2x6 = 12

Step-by-step explanation:

h=b-4

A=30ft^2

A=1/2bh

30=1/2b(b-h)

Cross Multiply

60=b(b-4)

60=b^2-4b

b^2-4b-60=0

Factorise the equation

(b^2+6) (-10b-60)

b(b+6)-10(b+6)

(b-10) (b+6)

b-10=0 or b+6=0

b=10 or b=-6

base =10 (since measurement can not be negative)

h=b-4

Sub the value of b

h = 10-4

h=6

So the height is 6ft and base is 10ft

Step-by-step explanation:

Answer is option A

f(1)=3

f(2)=f(2-1)+4=f(1)+4=3+4=7

... So on

Hence the series would be 3,7,11,15,..

The required first four terms are 3,7,11,15

I hope it helped you

Answer: the answer is a

3,7,11,15 (+4 each time )

Step-by-step explanation: we are adding 4 each time .Hope it helps .

Answer:

1007.5

Step-by-step explanation:

1007.5 because if you do the math, 15.5% of 65:

65 * 15.5% = x

x=1007.5

double check:

1007.5 / 15.5%= 65

triple check:

1007.5 / 65 = 15.5%

INn FOUR hours Jennifer will travel 12 m/h x4 = 48 miles

it will take Thomas 48 miles / 4 m/hr = 12 hours to reach the bike in the meantime Jennifer has EIGHT hours of walking 3 m/hr x 8 = 24 miles form the bike Thomas now sets out at 10 m/h this is 10 - 3 = 7 m/h faster than Jennifer is walking he will close the 24 miles and catch Jennifer in 7 m/hr *x = 24 m

24/7hours

So Thomas walks for 12 hours then bikes for 24/7 hr = 15 3/7 hrs = ~ 15 hr 26 min

Answer:

  256

Step-by-step explanation:

The revenue from the sale of n tickets at $38 each is given as ...

  38n = 9728 . . . . total sales from special event tickets

Dividing by the coefficient of n gives the number of tickets:

  n = 9728/38 = 256

256 tickets were sold for the special event.

Answer:

can you send a better picture of the question so it can be clearer

Step-by-step explanation:

Answer:

Purple to 1/4

red to 13/10

blue to 2/5

green to 1/5

Step-by-step explanation:

I think that is correct, butttt I am not postive

Answer:

5

Step-by-step explanation:

|x+3| =

|2+3| =

|5| =

5 =

Answer: 5

Step-by-step explanation:

If x = 2, the numbers in the brackets should now be 2 and 3.
2+3 = 5.
Because having numbers in brackets like these | | means absolute value, the number you get is always a positive number.