3.2654376... Rational or Irrational *
O Rational
O Irrational

Given:

Amount after three years = $10000

Rate of interest = 8.2 percent compounded monthly = 0.082

Time = 3 years

To find:

The principal value.

Solution:

Formula for amount is

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

where, P is principal, r is rate of interest, n is the number of times interest compounded in an year, t is number of years.

Substitute A=10000, r=0.082, n=12 and t=3 in the above formula.

[tex]10000=P\left(1+\dfrac{0.082}{12}\right)^{12(3)}[/tex]

[tex]10000=P\left(1+\dfrac{41}{6000}\right)^{36}[/tex]

[tex]10000=P\left(\dfrac{6041}{6000}\right)^{36}[/tex]

[tex]10000=P(1.27783)[/tex]

Divide both sides by 1.27783.

[tex]\dfrac{10000}{1.27783}=P[/tex]

[tex]7825.76712=P[/tex]

[tex]P\approx 7825.767[/tex]

Therefore, today she have to deposit $7825.767.

Answer:

After population (A) = 62,902 (Approx)

Step-by-step explanation:

Given:

Current population (P) = 19613

Number of years (n) = 2020 - 2000 = 20 year

Rate of growth (r) = 6% = 0.06

Find:

After population (A)

Computation:

[tex]After\ population (A) = Current\ population (P)[1+r]^n \\\\After\ population (A) = 19613[1+0.06]^{20} \\\\After\ population (A) = 19613[1.06]^{20} \\\\After\ population (A) = 62,901.548[/tex]

Answer:

25/56

Step-by-step explanation:

First, find a common denominator. (in this case 56, multiply denominators)

4 x 8          32

7 x 8          56

1 x 7             7

8 x 7           56

now

32               7                     25

-----     -      -----        =        ------

56              56                    56

Since this cannot be simplified, this is my answer.

The amount of solution Janitor has is [tex]\frac{1}{2}[/tex].

It is given that Janitor had 4/7 of a spray bottle of a cleaning solution out of which he used 1/8 of the solution in a day.

We have to find out that how much spray bottle he still have.

What will be the value , 2 times of 1/2 subtracted from 3 ?

The value will be 2.

Janitor had [tex]\frac{4}{7}[/tex] of spray bottle of a cleaning solution.

Amount of solution used by him in a day = [tex]\frac{1}{8}[/tex] of   [tex]\frac{4}{7}[/tex]

= [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex]

The amount of spray bottle which he have now ;

= [tex]\frac{4}{7}[/tex] - [tex]\frac{1}{14}[/tex]

= [tex]\frac{8-1}{14}[/tex]

= [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex].

Thus , the amount of solution he has is [tex]\frac{1}{2}[/tex].

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Answer: Unit rate = 4/35 of a gallon per hour

=============================================

Work Shown:

3 & 1/2 = 3 + 1/2

3 & 1/2 = 6/2 + 1/2

3 & 1/2 = (6+1)/2

3 & 1/2 = 7/2

The faucet drips 2/5 of a gallon in 7/2 hours

2/5 gallon : 7/2 hours

2*(2/5 gallon) : 2*(7/2 hours) ..... multiply both sides by 2

4/5 gallon : 7 hours

(1/7)*(4/5 gallon) : (1/7)*(7 hours) ... multiply both sides by 1/7

4/35 gallon : 1 hour

The unit rate is 4/35 of a gallon per hour.

"Per hour" means "every 1 hour".

Answer:

just guess

Step-by-step explanation:

dude believe in yourself

Answer:

7   5/6

Step-by-step explanation:

Trust Me Bro

Answer:

175

Step-by-step explanation:

7 times 25=175

Answer:

The point-slope form of the equation of the parallel line is y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope-intercept form of the linear equation is y = m x + b, where

The point-slope form is of the linear equation is y - y1 = m(x - x1), where

∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3

→ Compare it with the first form of the equation above

∴ m =  [tex]\frac{3}{4}[/tex]

∴ The slope of it is  [tex]\frac{3}{4}[/tex]

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is  [tex]\frac{3}{4}[/tex]

∵ The point-slope form is y - y1 = m(x - x1)

→ Substitute the value of the slope in the form of the equation above

∴ y - y1 =  [tex]\frac{3}{4}[/tex] (x - x1)

∵ The line passes through the point (4, 3)

∴ x1 = 4 and y1 = 3

→ Substitute them in the equation above

∴ y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

∴ The point-slope form of the equation of the parallel line is

    y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

x= 2

Step-by-step explanation:

The answer for what does x= is,

x = 2

Answer:

It's 141,000

Step-by-step explanation:

because 4 or lower doesn't raise the rounding up it stay's the same if it is 4 or lower. But 5 or more raises it up so anything five or more you can round up. They taught me that in 4th grade but now i'm in 6th grade wich is so hard.

Answer:

(2w+3)2+2w=30

4w+6+2w=30

6w=30-6=24

w=4

l=4(2)+3

l=11

Answer:

(-4)^3 * y^2

Step-by-step explanation:

hope it helps.

Answer:

there is 100 cm in a meter

Step-by-step explanation:

Answer:

0.350 km

Step-by-step explanation:

Hi there !

35000 cm = 35000/100 m = 350 m

350 m = 350/1000 km = 0.350 km

Good luck !

The given statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here,

1) 4=4

Statement is true.

2) 5+1=6+1

6≠7

Statement is not true.

3) 3+2=5+0

5=5

Statement is true.

4) 6+2=4+4

8=8

Statement is true.

5) 3+3=6+2

6≠8

Statement is not true.

6) 9+0=7+2

9=9

Statement is true.

7) 8-8=0

0=0

Statement is true.

8) 6+3=5+4

9=9

Statement is true.

9) 3+3=6+2

6≠8

Statement is not true.

Therefore, the statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.

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Answer:

9

Step-by-step explanation:

If you take a look at the graph, in order to find h(-5) you need to look at what the y intercept is when x=-5. In that case, when x = -5, y = 4 and so h(-5) = 4.

You do the same for h(5). Look at what y is when x equals 5. So h(5) = 5.

h(-5) + h(5) = (4) + (5) = 9

Answer:

9

Step-by-step explanation:

h(-5) is the y value when x = -5

h(-5) = 4

h(5) is the y value when x = 5

h(5) = 5

h(-5) + h(5) = 4+5 = 9

Answer:

$930.76

Step-by-step explanation:

So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.

Answer:

2 hours or 120 minutes

Step-by-step explanation:

So, let's assume that she studies the same amount each day. If she has studied math for a total of 60 minutes, she should have studied for 4 days because 60 (total) divided by 15(time each day) would equal to 4 (period of time). So we have to multiply 30 minutes by 4 (period) to get 120 minutes, which is 2 hours.

Answer:   $879.44 is the answer i believe.

Answer:

Antoine bikes for 16B miles before starting his walk.

Step-by-step explanation:

16 is that speed which is covered in B hours by bike by Antoine

Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Speed = [tex]\frac{distance}{time}[/tex]

Given,

16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk

Antoine travels partially by bike and partially by walk, and total covered 22

That means 16B is the distance covered by bike, and 16 is its speed.

Hence, 16 is that speed which is covered in B hours by bike.

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Answer:

1360322

Step-by-step explanation:

do ot nowwwwwwwww

Answer:

The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B =35.. a. Determine the pdf of X and sketch the corresponding density curve.

Step-by-step explanation:

I think :/

Answer:

150

Step-by-step explanation:

Hope this helped you!!

Answer:

Step-by-step explanation:

try a none of them match because if you add 35 and 7 to each side none of them match up but the first is the closest

Answer:

B = (5,4), C = (-5, -4), D = (5, -4), A = (-5, 4)

Step-by-step explanation:

look at x axis first (horizontal), then y axis (vertical)

The coordinates of the points are:

Remember that for a point (x, y), we need to count x units on the horizontal axis, and y units on the vertical axis.

With that in mind, we can see that:

Now, answering the questions:

Which point has coordinates (5, 4)?

Point B

Which point has coordinates (-5, -4)?

Point C

Which point has coordinates (5, -4)?

Point D

Which point has coordinates (-5, 4)?

Point A.

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Answer:

24 frames per second

Step-by-step explanation:

Answer:

[tex]y=-\,(x+1)^2+3[/tex]

Step-by-step explanation:

Notice that the vertex of the parabola is at (-1, 3), so we can start the expression of the quadratic in vertex form as:

[tex]y=a\,(x--1)^2+3\\y = a\,(x+1)^2+3[/tex]

we can now find the coefficient "a" by using another point the parabola goes through, like for example (0,2):

[tex]y = a\,(x+1)^2+3\\2=a\,(0+1)^2+3\\2=a+3\\a=2-3\\a=-1[/tex]

So the final expression for the parabola in vertex form is:

[tex]y=-\,(x+1)^2+3[/tex]

Answer:

Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.

Step-by-step explanation:

Central theorem:

Statement:

If x would be any distribution of random sample 30 more wide with either a mean = [tex]\mu[/tex]

standard deviation = [tex]\sigma[/tex]

After which [tex]\bar{x}}[/tex] would have had a roughly normal distribution which

mean = [tex]\mu[/tex] and

default variance = [tex]\frac{\sigma}{\sqrt{n}}[/tex]