A quantity with an initial value of 7800 decays continuously at a rate of 0. 1%

per hour. What is the value of the quantity after 1. 25 days, to the nearest

hundredth?

Answers

Answer 1

The question is asking for the value of a quantity that decays continuously at a rate of 0.1% per hour. We are given that the initial value of the quantity is 7800 and are asked to find the value after 1.25 days (30 hours).

What is a ratio in mathematics?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

We can use the following formula to find the final value of the quantity after a certain amount of time:

final value = initial value * (1 - decay rate)^time

Where decay rate is given as a decimal (0.1% = 0.001)

Plugging in the given values, we get:

final value = 7800 * (1 - 0.001)^30

The final value is around 7396.65

Rounding the final value to the nearest hundredth, the final value after 1.25 days is:

7396.65 ≈ 7396.66

The value of the quantity after 1.25 days, to the nearest hundredth is 7396.66.

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Related Questions

IF YOU HELP ME WITH THIS YOU WILL GET 25 POINTS! LINKS=REPORTED!

Answers

Answer:

22. acute triangle

23. right triangle

24. equilateral triangle

25. right triangle

Step-by-step explanation:

let me know if any of these are wrong

Given ƒ(x) = − x² – 14, find ƒ (6)

Answers

Answer:

f(6) = - 50

Step-by-step explanation:

substitute x = 6 into f(x) , that is

f(6) = - 6² - 14 = - 36 - 14 = - 50

Answer:

-50

Step-by-step explanation:

f ( x ) = - x² - 14

Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).

f ( 6 ) = - (6)² - 14

f ( 6 ) = - 36 - 14

f ( 6 ) = -50

A $99 skateboard is on sale for 10% off. How
much is it on sale for?

Answers

Answer:

89.10 trust me

Step-by-step explanation:

trust me bro

90% of $99 is $89.10

Help me please and thank you

Answers

Answer:

Equation:  [tex]\frac{7}{3}t + \frac{5}{2}t = 87[/tex]

Hours: 18

Step by Step:

(7/3)t + (5/2)t = 87

(14/6)t + (15/6)t = 87

(29/6)t = 87

29t=522

t=28

Find the explicit formula for an arithmetic sequence with a common difference of 8 and whose first term is -2.

Answers

The explicit formula for an arithmetic sequence whose common difference is 8 and the first term is -2 is

8 + (n - 1) * -2

What is arithmetic sequence?

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The sequence is given by the formula

nth term = a + (n - 1) * d

where a = first term

n = the term

d = common difference

In the problem, d = -2 and a = 8, because of this we have

= a + (n - 1) * d

= 8 + (n - 1) * -2

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Explain if the ordered pairs represent a function or not.
(1,2)(1,3)(2,4)(3,6)(0,0)(-1,4)

Answers

Not a function, the x values have different y values. In order for it to be a function, all the x values must have specific y values

What are the 4 types of polynomials terms )?

Answers

Constant or Zero polynomial, Linear polynomial, Quadratic polynomial, Cubic polynomial, and Quartic polynomial are the five kinds of polynomials.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.

Constant Polynomial Function: P(x) = a = ax.

Zero Polynomial Function: P(x) = 0; where all ai's are zero, i = 0, 1, 2, 3, …, n.

Linear Polynomial Function: P(x) = ax + b.

Quadratic Polynomial Function: P(x) = ax2+bx+c.

Cubic Polynomial Function: ax3+bx2+cx+d.

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a) A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
Time (in minutes)
9
3
15 21
5 7
OThe train does not always go the same distance each minute.
OThe train appears to go the same distance each minute.
Predicted distance traveled in 8 minutes: km

Answers

Answer:

Step-by-step explanation:

from the figure we kown the speed is 9/3=15/5=21/7=3 km per minute

the distance in 8 minute is 3 ×8=24 km

Find the length of the radius of the cylinder given the volume and height.
V=314
h = 25 ft
a. 1 ft
b. 2 it
C.5 ft
d. 12.3 it
I'll give Brainly

Answers

Answer:

b. 2 feet

Step-by-step explanation:

The formula for volume of a cylinder is: V=πr^2h

Start by plugging in what they give you

V=πr^2h

314 =π(r)^2(25)

314 = 25π(r)^2

divide both sides by 25π, which is 78.5

4 = r^2

take the square root of both sides

r = 2

20 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y is > 7

Step-by-step explanation:

Any y value greater than 7 would make the product greater than 5. This can be looked at as y > 7. So y/7 can be rthough of as y divided by 7. 5 x y/7 can be though of as y * 5 divided by 7. Or 5y/7. To make this value 5, y must be 7. Since 7/7 is 1, and 1*5 is 5. If the number is greater than this it would have to be >7/7, since this would make it >1*5. So y must be >7. Hope this helps!

Answer:

9 (or anything above)

Step-by-step explanation:

5 x 9/7 = 45/7 = 6 3/7. Anything above would also work. Also, 8 and 7 work too

Jenny babysits for $6)per hour plus $10 for taxi fare. Mary charges ($3 every ?half ?hour plus $15 in taxi fare.

Answers

Answer:

Step-by-step explanation:

122121

i think its one but im not sure

Answers

Answer: Commutative property.

Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.

Let me know if this is right! :)

What is the example of quadrant 2?

Answers

The example of Quadrant 2 is (-1, 1)

The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.

Here we have to give the example for quadrant 2.

In order to find the example, first we have to know the definition and properties of quadrant 2.

The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.

Therefore, the resulting coordinate for Quadrant 2 is written as,

=> (-1, 1)

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Since 1995 the cost of a bag of groceries has increased about 2.5% each year. The equation C = 25(1.025)x will give the value of the bag of groceries after any number of years. Predict when the bag of groceries will double in price.

Answers

Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is [tex]C=25(1.025)^x[/tex]

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

[tex]\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28[/tex]

It will take 28 years

What is the coefficient of x² in 3x² 5 )( 4 4x² )? *?

Answers

The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4

The expression is 3x²

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x²  is 3

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x²  is 3.

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There are three ways to solve a system of equations. Sometimes it is easier to use one method instead of another. Provide an example of three systems and explain what method should be used to solve and why it is the easiest method given the way the system is written.

Answers

Answer is graphing, substitution and elimination

Explanation

Graphing is easy if you have a graphing app like D e s m o s graphing calculator - where you can plug in the equations and find the point where they intersect.

Substitution works great when the equations are already in y intercept form, substitute one equation into the other for the value of a variable.

Elimination works best when the two equations have one variable that can be eliminated through adding together a same positive and negative variable, such as +2x and -2x

Will give brainliest if right

O D. The points seem to be clustered around a line.

Answers

Answer:

D. The points seem to be clustered around a line.

Step-by-step explanation:

The scatterplot points are spread out and forming a line, not around a point.

There are two outliers.

What is 85 divided by 4973?

Answers

85/4973 = 0.01712

Step Move the decimal point three places to the left in the dividend (85): 0.085

Step 2: Divide 0.085 by 4973: 0.01712
Answer: 0.02

To solve 85/4973, how many times does 4973 go into 85? 0 so subtract 85 by 0, which is 0 and put a 0 with a decimal point on top of the division bar. Carry down a zero that make 85 transform to 850. How many times does 4973 go into 850? 0 so put a above the division bar and do 850 - 0 = 850. Carry a zero down making 850 into 8500. How many times does 4973 go into 8500? 1 so put it above the division bar and subtract 4973 from 8500 = 3527. Carry down a zero to make 3527 into 35270. How many times does 4973 go into 35279? 7 so write it above the division bar. Above the division bar, you should have 0.017. Round it to the nearest hundredth, which is 0.02 since 7 rounds up a number.

A school is interested in the average GPA of the sophomore class. They sample 75 of the 500 sophomores, for a mean GPA of 3.26 with a standard deviation of 0.62. Calculate the margin of error to the nearest hundredth.

Answers

calculated margin of error = 0.376

What is margin of error?

It is a statistical term that implies the amount of permissible error within the survey data. This error indicates the difference between statistical result and actual result.

margin of error can be determined by multiplying the critical value to the standard deviation.

How to calculate the margin of error?

given, mean GPA of 75 sophomores = 3.26 = Xi

standard deviation = 0.62 = s

sample number = 75 = n

total sophomores = 500

z value of the sophomores = mean / standard deviation = 3.26 / 0.62

Z value = 5.26

margin of error = Z value × standard deviation / (√number of sample)

margin of error = 5.26 × 0.62/ √ (75)

                      = 0.376

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Ill give brainliest - please help ASAP

WITH THE WORK THO PLEASE?

Answers

Answer:

5.

we have.

11x=½(16x+16+50)

22x=16x+66

22x-16x=66

6x=66

x=66/6

x=11

6.

118°=½(6x-11+181)

236=6x+170

6x=236-170

x=66/6

x=11°

7.

34°=½(arcAK-arc LN)

34×2=(110-arc LN)

arc LN =110-68

arc LN=42°

8.

<L=½(arc EN-arc KM)

<L=½(139°-73°)

<L=33

Please help me out tired want to sleep

Answers

Answer:

The approximate area by Riemann Sum of the curve is represented by [tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex].

Step-by-step explanation:

The area below the curve is estimated by the concept of Riemann Sum with right endpoint rectangles, which is defined by the following formula:

[tex]A = \left(\frac{\Delta x}{n} \right) \cdot \Sigma \limits_{t = 1}^{n} g\left (x_{o} + \frac{\Delta x}{n}\cdot t \right)[/tex] (1)

Where:

[tex]A[/tex] - Area below the curve, in square units.

[tex]n[/tex] - Number of rectangles, no units.

[tex]x_{o}[/tex] - Lower bound of the interval, in units.

[tex]\Delta x[/tex] - Length of the interval, in units.

[tex]t[/tex] - Summation index.

If we know that [tex]g(x) = 2\cdot x^{3} - 4[/tex], [tex]n = 10[/tex], [tex]x_{o} = 2[/tex] and [tex]\Delta x = 4[/tex], then the area below the curve is represented by the following equation:

[tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex]

HELP DUE IN 20 MINS!

x = ??

Answers

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

We know,

[tex]27 \times (x + 27) = 36 {}^{2} [/tex]

[tex]x + 27 = \dfrac{1296}{27} [/tex]

[tex]x + 27 = 48[/tex]

[tex]x = 21[/tex]

______________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?

Answers

The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .

How to find the smallest positive integer ?

To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.

The multiples of 4 and 7 are:

Multiples of 4 :

4, 8, 12, 26, 20, 24, 28, 32, 36, 40,

Multiples of 7 :

7 , 14 , 21 , 28 , 35 , 42 , 49

The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.

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Which of the following is most likely the next step in the series?
O A.
B.
O c.
D.

Answers

Answer:

try the diamond see if that works sorry if its wrong

Triangle is  most likely the next step in the series, option D is correct.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first polygon is hexagon which has 6 sides

The second polygon is Pentagon which has 5 sides

The third polygon is square which has 4 sides

As we observe one side is decreasing from the each polygon from 1st to 3

So the fourth polygon will have three sides which is triangle

Hence, triangle is  most likely the next step in the series, option D is correct.

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What is the surface area of the right cylinder pictured below with
measurements a = 5 cm, b= 20 cm? Leave your answer in terms of T.
a
b
A. 22517 cm
ООО
B. 250 cm2
C. 50 cm2
o
D. 100 cm2

Answers

Applying it's formula, the surface area of the given cylinder is:

B. S = 250pi cm²

What is the surface area of a cylinder?

The surface area of a cylinder with radius r and height h is given by the following formula:

S = 2pi(r + h)

For this problem, the dimensions are given as follows:

r = 5 cm, b = 20 cm.

Hence we apply these measures to the given formula, and the surface area in square centimeters is given as follows:

S = 2pi(r + h)

S = 2pi x 5(5 + 20)

S = 250pi cm²

Hence option B is the correct surface area.

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I have no clue about this.
Help!

Answers

Answer: 294 feet^2

Step-by-step explanation:

Find the volume of the cube.

Find the cube root of the volume.

Plug this answer into the formula for finding the surface area of a cube.

(area = 6 · s2)

Answer:

294cm[tex]^{2}[/tex]

Step-by-step explanation:

A cube has 6 faces

To find out the area of one face, you'd have to do 7x7 (7[tex]^{2}[/tex]).

To find out the total surface area of the cube, use this equation to help you:

AREA= 6(the amount of faces of the cube) × 7[tex]^{2}[/tex](the area of ONE face)

so in other words...

AREA=6×7[tex]^{2}[/tex]

AREA= 294cm[tex]^{2}[/tex]

hope this helped:)

Help me please yea more help

Answers

Answer:

96units

Step-by-step explanation:

Select all of the statements that are true for the given parabola.

Answers

Answer:

A and B

Step-by-step explanation:

The minimum occurs at the turning point ( vertex )

The coordinates of the vertex are (1, - 2 ) → A

The x- intercepts are the points where the graph crosses the x- axis

This occurs at (3, 0 ) and (- 1, 0 ) → B

The axis of symmetry is a vertical line passing through the vertex

Equation of axis of symmetry is x = 1 , not y = - 2

(1, - 2 ) is a minimum not a maximum , see above

For every 4 children in the class who don’t have glasses 1 student does. If there are 20 students in the class, how many of them have glasses?

Answers

Probability: 1/4 times 20 = 5

The sum of three consecutive integers is 27. Find the value of the greatest of the three.

Answers

Answer: The greatest of the three is 10.

Step-by-step explanation:

27/3=9 so the numbers will be around nine.

8+9+10=27

Answer:

Let x represent the value of the smallest of the three consecutive integers.

Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.

Since the sum of the three integers is 27, we have:

x + (x+1) + (x+2) = 27

Combining like terms, we have:

3x + 3 = 27

Subtracting 3 from both sides, we have:

3x = 24

Dividing both sides by 3, we have:

x = 8

Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.

Thus, the value of the greatest integer is 10.

Step-by-step explanation:

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