A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?

Answer:

In 4 years = $1,893.72

In 16 years = $3,810.53

years to contain $2,000 = 4.9371454128

years to contain $2,500 = 8.766692911

Step-by-step explanation:

In 4 years

A = 1,500 (1 + 0.06)^4

  = $1,893.72

In 16 years

A = 1,500 (1 + 0.06)^16

   = $3, 810.53

to find number of years

t = ln (A/P) / ln (1+r)

when A = 2,000

t = ln(2,000/1,500) / ln(1+0.06)

 = 4.9371454128 years

when A = 2,500

t = ln(2,500/1,500) / ln(1+0.06)

 = 8.766692911 years

PS: You can also use log in place of ln

The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.

Let:

PV = Present value = $1,500

r = Interest rate = 6%, or 0.06

n = number of years

FVn = Future value after a certain number of years

Therefore, we have:

The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:

FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72

Therefore, the amount that will be in the account in four years is $1,893.72.

The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:

FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53

Therefore, the amount that will be in the account after 16 years is $3,810.53.

The number of years will it take for the account to contain $2000 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years

Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.

The number of years it will take for the account to contain $2500 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years

Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.

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Answer:

529 units squared

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

240/5 = 48

Answer:

48 push ups in 1 minute

Step-by-step explanation:

We can use a ratio to solve

240 pushups

-----------------------

5 minutes

Divide each by 5

48 pushups

--------------------

1 minutes

Answer:

3

Step-by-step explanation:

To find the IQR, use this formula:

Quartile 3 – Quartile 1

this will get you the IQR of a box and whisker plot :)

(pls mark brainliest)

Answer:

Option (2).It has a vertical translation by 2 units in the positive direction.

Step-by-step explanation:

Given question is not complete: find the  complete question with attachment

Errol's bike ride can be modeled by the equation,

[tex]d(t)=-\frac{1}{4}t+2[/tex]

Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house

Y-intercept = 2, shows the distance of the school from Errol's house

Let the equation that represents the distance of Daniel's home from the school is,

y = mt + b

Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.

Since y-intercept 'b' represents the distance from his home, b = 4

Now the equation will be,

[tex]d(t)=-\frac{1}{4}t+4[/tex]

Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.

Answer:

-220

Step-by-step explanation:

Answer:

center: (0,0)

radius: 4 units

Step-by-step explanation:

the circle goes through points (0,4), (0,-4), (4,0), and -4,0).

if you notice, all four points are 4 away from the origin, (0,0). this means that there center is (0,0).

if you start at one of the points and go to the origin, it will be 4 units. that will be your radius

Answer:

So, the first one is not proportional and therefore has no multiplier.

You are right on the second on both counts!

Step-by-step explanation:

You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.

Answer:

16 cups of sugar

Step-by-step explanation:

27 x 2 2/3 = 72  So 2 2/3 x 6 = 16  

If 6 cups of sugar is used to make 27 cookies. Then 16 cups of sugar is used to make 72 cookies.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Savannah is baking cookies with a recipe that calls for 6 cups of sugar to make 27 cookies.

We need to find how much sugar she has to add to make 72 cookies.

To find this we have to form an equation.

Let x be number of cups of sugar to make 72 cookies

6/27=x/72

Apply cross multiplication

72×6=27x

432=27x

Divide both sides by 27

x=16

Hence, 16 cups of sugar is required to make 72 cookies.

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Answer:

Slope: 2

Y-intercept: (0,-7)

Step-by-step explanation:

2(x-3)=y+1

distribute the 2 through the parentheses

2x-6=y+1

2x+6=0+1

(change the y to 0)

2x-6=1

add 6 to both sides(+6 cancels out -6)

2x=1+6

divide both sides by 2

x=7/2 or x=3.5

hope this helps!

Answer:

Car 1 and Car 4

Step-by-step explanation:

Car 1-70mph

Car 2-60mph

Car 3-64mph

Car 4-70mph

So, its Car 1 and Car4

Answer:

(A) The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Answer:

An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.”

Step-by-step explanation:

Fraction Decimal Percent

2/3         0.666… 66.666…%

1/4         0.25 25%

3/4         0.75 75%

1/5         0.2         20%

Answer:

x = -1/24 = -0.042

Step-by-step explanation:

Step  1  :   Simplify  3/8

Step  2 :

Rewriting the whole as an Equivalent Fraction

Step  3  :

Calculating the Least Common Multiple

Equation at the end of step  3  :

 24x + 1

 ———————  = 0  

    8  

Last step:

Solving a Single Variable Equation :

5.2      Solve  :    24x+1 = 0  

Subtract  1  from both sides of the equation :  

                     24x = -1

Divide both sides of the equation by 24:

                    x = -1/24 = -0.042

Hope this helps.

Answer:

2

Step-by-step explanation:

Correct on Edge 2020 :)

The product of expression (3 + √7) (3 - √7) is, 2.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ (3 + √7) (3 - √7)

Now, We can multiply the number as,

⇒ (3 + √7) (3 - √7)

⇒ (9 - 3√7 + 3√7 - 7)

⇒ 9 - 7

⇒ 2

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Answer:

Construct two [intersecting, perpendicular] diameters and connect the four endpoints

Answer:

2/15

Step-by-step explanation:

1/3 × 2/5 = 2/15

the answer is V≈254.47

Answer:

The probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498

Step-by-step explanation:

We are given that Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6.

Mean = [tex]\mu = 76[/tex]

Standard deviation =[tex]\sigma = 6[/tex]

we are supposed to find the probability that an incoming freshman scores between 61.6 and 80.2 i.e. P(61.6<x<80.2)

Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]

At x = 61.6

So,[tex]Z=\frac{61.6-76}{6}[/tex]

Z=-2.4

Refer the z table for p value

So,p value =0.0082

At x = 80.2

So,[tex]Z=\frac{80.2-76}{6}[/tex]

Z=0.7

Refer the z table for p value

So,p value =0.7580

P(61.6<x<80.2)=P(x<80.2)-P(x<61.6)=0.7580-0.0082=0.7498

Hence the probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498

Answer:

72 and dignity is not important

Step-by-step explanation:

I think

Answer:

Total paper required to wrap the gift without any overlaps: [tex]2700\ cm^{2}[/tex]

Step-by-step explanation:

Here, we need to find the total paper required without any sides overlapping to wrap the gift.

The gift is of cuboid type.

Given the following:

Length = 15 cm

Width = 30 cm

Height = 20 cm

Please refer to the attached figure.

We can infer that to find the paper required, we actually need to the find the total surface area of the cuboid.

Because the gift wrap will be done on the faces of gift (which is of cuboid shape).

Formula for Surface Area of Cuboid:

[tex]\text {Area = } 2 \times (\text{Length}\times \text{Width} + \text{Width}\times \text{Height} + \text{Length}\times \text{Height} )\\\\\Rightarrow 2 \times (15 \times 30 + 30 \times 20 + 15 \times 20)\\\Rightarrow 2 \times (450 + 600 + 300)\\\Rightarrow 2 \times (1350)\\\Rightarrow 2700 cm^{2}[/tex]

Hence, total paper required to wrap the gift without any overlaps: [tex]2700 cm^{2}[/tex]

Answer:

128 tons can be processed in 8 hours.

Step-by-step explanation:

48 divided by 3 = 16 (to see how much tons are produced in 1 hr.)

16 x 8

  =128

Answer:

128 tons in 8 hours

Step-by-step explanation:

do 48 divided by 3 = 16      

to see how much tons get produced in an hr.

then when you do 16x8 which is 128

Answer: The Median because the distribution is skewed to the right

Step-by-step explanation:

Answer:

784

Step-by-step explanation:

Answer:

784

Step-by-step explanation:

34+22=56

28÷2=14

56×14=784

Answer:

Yes because 3x5 is 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

both the length and the width of a square is the same measurement.

so if both measured to "x" then that means one side increase +7.

so one side is x + 7

and the other side decreased -4

so the other side is x - 4

area of square = length x width or just one of the sides to the power of 2

so (x+7) * (x-4) = Area

x^2 + 3x - 21 = area

Answer:

x^2-11x+24

Step-by-step explanation:

The area of a quad is lw

So, the formula would be (x-7)(x-4)

When you multiply it, it turns to be x^2 - 11x + 24

I think thats the answer

there are no choices so the answer might be in the wrong form

Answer:

162

Step-by-step explanation:

1.8x10= 18

18x9=162

Answer:

Let's denote:

P(discount on 15 holidays) = P(A) = 0.87

P(discount on 100 weekends) = P(B) = 0.38

P(discount on 250 weekdays) = P(C) = 0.17

=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360

          = 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360

          = 0.26

Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:

P  = 100/(100 + 250 + 15) = 0.27

Hope this helps!

:)

Answer:

1. 0.256

2. 0.406

Step-by-step explanation:

Total days:

15 + 100 + 250 = 365

P(more than 10% discount)

= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)

= 1871/7300

0.2563013699

P(weekend/more than 10% discount)

= (0.38×100/365) ÷ (1871/7300)

= 760/1871

0.4061998931