Which student solved problems at a rate of 28 per minute?

Answer:

$25 821.69

Step-by-step explanation:

The formula for the future value (FV) of an investment is

FV =PV(1 + r/n)^nt

FV = 20 000(1 + 0.087/2)^(2×3)

FV = 20 000(1 + 0.0435)⁶

FV = 20 000(1.0435)⁶

FV = 20 000 × 1.291 0847

FV = $25 821.69

Answer:

the answer will be 4/9

Step-by-step explanation:

250 percent of 50 is  125.

Convert the percent to a decimal by dividing by 100:

250% = 250/100

           = 2.5.

Multiply this decimal by the number:

2.5 * 50.

Perform the multiplication:

2.5 * 50 = 125.

Thus, 250% of 50 is 125.

Answer:

(a)

Given expression: 49% of 162

we can write 49% as [tex]\frac{49}{100}[/tex]

then;

[tex]\frac{49}{100} \times 162 = \frac{49 \times 162}{100} = \frac{7938}{100}=79.38[/tex]

Therefore, the estimate of the given expression is, 79.38.

(b)

Using mental math to calculate 49% of 162.

Mental math is used as a way to calculate an estimate quickly.

We can write 49% = 50% -1%

(50%-1%) of 162 = 50% of 162 -1% of 162

so,

50% of 162 = [tex]\frac{50}{100} \times 162 = \frac{1}{2} \times 162 = 81[/tex]

and

1% of 162 = [tex]\frac{1}{100} \times 162 = \frac{162}{100} = 1.62[/tex]

Now, subtract these we get;

81 - 1.62 = 79.38

Therefore, by using mental math 49% of 162 is, 79.38

The statement will be 13.4 = 13.40

Inequality is a statement of an order relationship which are greater than(>), greater than or equal to(≥), less than(<), or less than or equal to(≤) between two numbers or algebraic expressions.

13.4 = 13.40

The sign will be ( = )

Find more about "Inequalities" here : https://brainly.com/question/25275758

#SPJ2

Answer: 1.4f  and  4/10f+f

Step-by-step explanation:

Answer:

Snow in March = 1.4f cm

Step-by-step explanation:

Given that

Snowfall in February in Delphine's house = f cm

Now, it is given that In march Delphine's house had 40% more snowfall than Febraury. So, this can be written in equation form as follows :

Snow in March = Snow in Febraury + 40% of Snow in Febraury

Snow in March = f + 40 % of f

Snow in March = f + 0.4f

Snow in March = 1.4f cm

1.4f cm

The dimensions of the slab are:

Length = 3 meters

Width = 10 meters

To find the dimensions of the rectangular slab, we'll use the given area and the expressions for length and width.

Given:

Area = 30 square meters

Length = w

Width = 2w + 4

We can use the formula for the area of a rectangle to solve for w:

Area = Length × Width

Substituting the given values:

30 = w × (2w + 4)

Expanding the equation:

30 = 2w² + 4w

Rearranging the equation in standard quadratic form:

2w² + 4w - 30 = 0

Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

w = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 2, b = 4, and c = -30. Substituting these values into the formula:

w = (-4 ± √(4² - 4(2)(-30))) / (2(2))

w = (-4 ± √(16 + 240)) / 4

w = (-4 ± √256) / 4

w = (-4 ± 16) / 4

We have two possible solutions for w:

w = (-4 + 16) / 4 = 12 / 4 = 3

w = (-4 - 16) / 4 = -20 / 4 = -5

Since the width of the slab cannot be negative, we discard the second solution (w = -5).

Therefore, the width of the slab (w) is 3 meters.

Now, we can find the length using the given expression:

Length = w = 3 meters

Therefore, the dimensions of the slab are:

Length = 3 meters

Width = 2w + 4 = 2(3) + 4 = 6 + 4 = 10 meters

To know more about dimensions:

https://brainly.com/question/33819086

#SPJ2

[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &18800\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ t=\textit{elapsed time}\dotfill &13\\ \end{cases} \\\\\\ A=18800(1-0.12)^{13}\implies A=18800(0.88)^{13}\implies A\approx 3568.0636019[/tex]

Answer:

[tex]V=\frac{1}{3} \pi r^{2} h[/tex]

Step-by-step explanation:

Your r^2 times pi is the area of the base, h is the height, and 1/3 is 1/3 of a cylinder.

Answer:

Step-by-step explanation:

  V=πr2h

_________

       3

Answer:

Distribute

When you have an equation like this, distribute first and then add or subtract like terms to solve for x.

Hope this helps!!

Well, you need to find out what x is equal to, if anything.

The first step to completing it, from what I've learned, is to do the problem that is in parenthesis first.

Hope this helps, sorry if not-

Answer:

-7 = -3x + b

Step-by-step explanation:

i'm guessing because you have not provided a visual so i can not determine the B.

Answer:

26.

Step-by-step explanation:

You just have to do 22.10 ÷ 0.85.

Final answer:

By dividing the total cost spent on drinks by the cost of each drink ($22.10 ÷ $0.85), we find that 26 people attended the Lopez family picnic.

Explanation:

To determine how many people attended the Lopez family picnic, we need to divide the total cost spent on drinks by the cost of each drink. Since the Lopez family spent $22.10 on drinks and each drink cost $0.85, we perform the following calculation:

Total cost spent on drinks ÷ Cost of each drink = Number of people

$22.10 ÷ $0.85 = 26 people

Therefore, 26 people attended the Lopez family picnic.

Final answer:

The amount still owed on a loan is called the principal, which is the original amount borrowed minus any repayments made toward it. Interest is charged on this amount, and loans are assets to banks which can be sold in the secondary loan market.

Explanation:

The amount still owed on a loan is referred to as the principal. When you make a payment on a loan, such as a credit card or a mortgage, part of it covers the principal, which is the original amount borrowed, and the rest goes toward paying off interest. Interest is the charge for borrowing the money and is calculated based on the remaining balance of the loan. When a borrower takes out a mortgage loan, for instance, they will repay both the principal and interest over the term of the loan, which often spans many years, such as in a 30-year mortgage.

Banks consider loans as assets because they are legally binding agreements where the borrower must make payments over time. In the banking industry, the value of a loan can also be determined by what another party is willing to pay for it in the secondary loan market, where loans are bought and sold between financial institutions after being originated in the primary loan market.

An example of this can be seen when a borrower owes more on their mortgage than the actual market value of the property, resulting in negative equity. However, as the loan is paid down, the equity typically increases, which is the value of the property minus the remaining loan balance.

Answer:

52

Step-by-step explanation:

By solving the system of equations derived from the problem, we get that the club bought 23 black pens.

Let's denote the number of black pens as 'b' and the number of red pens as 'r'. According to the problem, we have two equations: b + r = 75 (there were 75 pens in total) and [tex]1.75b + 2r = 137[/tex] (the total cost of the pens was $137).

Now, we can solve this system of equations. From the first equation, we can express 'r' as r = 75 - b. Substitute this into the second equation: [tex]1.75b + 2(75-b) = 137.[/tex], simplifying this gives b = 23. So, the club bought 23 black pens.

https://brainly.com/question/21620502

#SPJ2

Answer:

u=-2, m=-7

Step-by-step explanation:

7-6u=5u+29

7-11u=29

-11u=22

u=-2

9m=4m-35

5m=-35

m=-7

Answer:

u=-2 and m= -7

Step-by-step explanation:

The circumcenter of the triangle ABC with vertices A(-2,4), B(-2,-2), C(4,-2) is found by locating the intersection of the perpendicular bisectors of the sides. It is calculated to be the point (1,1).

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is equidistant from all three vertices of the triangle. To find the circumcenter of triangle ABC with vertices A(-2,4), B(-2,-2), and C(4,-2), we first find the midpoints of the sides and then the equations of the perpendicular bisectors.

The midpoint of AB is (-2, 1) and the midpoint of BC is (1, -2). The slope of AB is undefined and that of BC is 0. Hence, the slopes of the perpendicular bisectors are 0 and undefined respectively. The equation of the line passing through (-2,1) with slope 0 is y = 1. The equation of the line passing through (1,-2) with undefined slope is x = 1. The intersection of these two lines (circumcenter) is (1,1).

https://brainly.com/question/29927003

#SPJ3

Answer:

B

Step-by-step explanation:

• A line sloping upwards from left to right has a positive slope

• A line sloping downwards from left to right has a negative slope

The line shown here slopes downwards from left to right, hence has a negative slope → B

Answer:

The car is actually moving at a speed more than 80 miles per hour

Step-by-step explanation:

Theoretically, since the speedometer of the car is at 80, it means the car is having a speed of 80 miles / hr. The car should move by a distance of 80 miles in an hour.

But, practically changing the tire size can affect the speedometer accuracy because larger tire covers more ground in each complete revolution. So, the  actual speed is higher than the speedometer reads.

Example

Suppose a car comes with factory-installed tires which are 21.8 inches in diameter. It means that the circumference of each tire is 68.5 inches. Now if we replace the old tires with new tires having 24.6 inches as diameter then  each new tire has a circumference of 77.3 inches. This means the car  travels almost 10 inches more with each complete revolution. This can  tremendously affect the reading on the speedometer. The speedometer  will now indicate a speed which is too slow by almost 13%. When the  speedometer reads 60 miles/hour, the car will actually be traveling at a speed of 67.7 miles/hour.

Answer:

(-11, -5)

Step-by-step explanation:

Use elimination

-2x-4y = 42

2x-8y = 18

-12y = 60

y = -5

Plug it back in

2x-8(-5) = 18

2x+40 = 18

2x = -22

x = -11

(-11, -5)

Answer:

(-11, -5)

Step-by-step explanation:

It's right

Number of red blood cells = [tex]4.5*10^{6}[/tex]

Number of white blood cells = 5000 or we can write this as [tex]5*10^{3}[/tex]

We have to find how many times more red blood cells are there than white in the sample. so we will divide the two to get the answer.

[tex]\frac{4.5*10^{6}}{5*10^{3}}[/tex]

= [tex]0.9*10^{3}[/tex]

= [tex]9*10^{2}[/tex] = 9*10*10 = 900

Hence, the red blood cells are 900 times more than white blood cells.

Answer:

Red blood cells are 900 times of white blood cells in the blood sample of Laura.

Step-by-step explanation:

Sample of Laura's blood sample contains number of red plus cells = 4.5[tex]10^{6}[/tex] and number of white blood cells = 5×[tex]10^{3}[/tex]

Now we calculate the ratio of red blood cells and white blood cells

= 4.5×[tex]10^{6}[/tex]÷5[tex]10^{3}[/tex]

= 4.5×[tex]10^{3}[/tex]÷5

= 4500÷5

=900

Now scientific representation of data will be

Test                                  Result              Range

White Blood Cells      5×[tex]10^{3}[/tex]per [tex]mm^{3}[/tex]       5-10

Red Blood Cells       4.5×[tex]10^{3}[/tex] per[tex]mm^{3}[/tex]    4.2-6.11            

Answer:

The answer is 9 square feet.

The area of the square tabletop is calculated using the formula A=s². Given that the length of one side is 3 feet, we substitute this into the formula to get A = 3², which equals to 9 square feet.

Janice is trying to calculate the area of a square tabletop using the formula A=s², where A represents the area and s stands for the length of one side. Since the length of one side of the square (s) is given as 3 feet, we can substitute this value into the formula, resulting in A = 3².

Squaring 3 (i.e., multiplying 3 by itself) gives us 9, so the calculated area of the square tabletop is 9 square feet.

https://brainly.in/question/490594

#SPJ3

Answer:

Step-by-step explanation:

Answer:

30 Cubic Inches would be your answer.

Step-by-step explanation:

i think it is 0.33...i could be wrong.

Answer:

.33 acre  per lot

Step-by-step explanation:

We want to take 25.08 acres and divide them evenly into 76 lots

25.08 /76 = .33 acre  per lot

Answer:

15> 1.99, Good Luck!

Step-by-step explanation:

$15 per month is better because you can rent more than 15 movies!

Go to this link you can create a graph https://nces.ed.gov/nceskids/createagraph/

The inequality that represents when the unlimited offer is better is attached

From the question, we have the following parameters that can be used in our computation:

So, we have

y = 15x

y = 1.99x

As an inequality, we have

y > 15x

y > 1.99x

Next, we plot the graph of the system of the inequalities

From the graph, we have solution to the system to be the shaded region

This means that all coordinates in the shaded region are the solutions to the system

Read more about inequalities at

brainly.com/question/30977554

#SPJ3

Answer: $112.59 + $215.35 = $327.94

Hope this Helps ^^ And Brainliest is always helpful :)

Answer:

The total cost is $327.94

Step-by-step explanation:

215.35 + 112.59 = 327.94

Answer:

x=2

Step-by-step explanation:

-2(1 - 4x) = 3x + 8

The first step is to distribute the -2

-2*1 -2(-4x) = 3x+8

-2+8x = 3x+8

Subtract 3x from each side.

-2+8x-3x = 3x-3x+8

-2+5x=8

Add 2 to each side

-2+2 +5x=8+2

5x=10

Divide by 5

5x/5 = 10/5

x=2

Answer:

1.5

Step-by-step explanation:

Jiri is seventeen years old.

Answer:

J=Jiris

P=2J

P+J-51

Use substitution to solve

2J + J = 51

3J = 51

J=17

Plug 17 into one of the equations

J=17, P + J = 51

P + 17 = 51

P= 34

So Pamela is 34 and Jiris is 17