Be What's the difference between the high and low temperature in the thermometer? Highest temperature 3°F and the lowest temperature -9°F

53 years for the Population of the United States to reach 300 million people according to this model.

The recursive formula of the population of the United States is given by ao = an1.015a - 1

Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)

where a0 is the population of the United States in 1910 (92.2 million people) .

Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)

To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300

Dividing both sides by 92.2, we get1.015t = 3.2596

Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2

Therefore,  approximately 53 years for the population of the United States to reach 300 million people according to this model.

For more questions on Population .

https://brainly.com/question/30412211

#SPJ8

Answer:

it is 60 my guy

Step-by-step explanation:

Answer:  LCM = 60

Step-by-step explanation:

                6             20  

× 1             6              20

× 2           12              40

× 3           18              60

× 4           24

× 5           30

× 6           36

× 7           42

× 8           48

× 9           54

× 10          60

Answer:

(-6)(+5-5) is the answer

Answer:

Step-by-step explanation:

69

The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be independent or dependent. A dependent variable depends on other variable while an independent variable does not depend on other variable.

Let x represent the money invested in growth fund, y represent that of income fund and z represent that of money market fund.

$5000 was invested, hence:

x + y + z = 5000     (1)

Also:

0.12x + 0.08y + 0.05z = 5450 - 5000       (2)

Your teacher invested twice as much in the income fund as in the money market fund:

y = 2z    (3)

From the three equations:

x = 2000, y = 2000, z = 1000

The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

1 and 3 are 128

4 is 52

2 and 6 are 136

5 is 44

7 and 10 are 74

9 and 8 is 106

13 and 18 equals 52

14 and 17 is 128

12 and 15 is 44

11 and 16 is 136.

a. The final result is -45 + ?(-3).

b. We have a negative value inside the square root, this expression is not defined in the real number system. If you're working with complex numbers, we can proceed by evaluating the square root of -130.

c. The result is 10.

d. The result is 6.

a. -15 × (-3 + 5) - 15 + ?(-3)

Let's simplify the expression step by step:

-15 × (-3 + 5) - 15 + ?(-3)

First, we can simplify the expression within the parentheses:

-15 × 2 - 15 + ?(-3)

Next, we perform the multiplication and addition:

-30 - 15 + ?(-3)

Now, let's address the "?(-3)" part. Since we don't have a specific value for the missing factor, we'll leave it as it is for now.

-30 - 15 + ?(-3)

Finally, we can simplify the expression by performing the subtraction:

-45 + ?(-3)

The final result is -45 + ?(-3).

b. √(-125 - 5) × 3²

Let's simplify this expression step by step:

√(-125 - 5) × 3²

First, we evaluate the expression within the square root:

√(-130) × 3²

Since we have a negative value inside the square root, this expression is not defined in the real number system. If you're working with complex numbers, we can proceed by evaluating the square root of -130.

c. (-5) - (-8) - (-7)

Let's simplify this expression step by step:

(-5) - (-8) - (-7)

To simplify double negatives, we can rewrite the expression as addition:

(-5) + 8 + 7

Now, we can perform the addition:

-5 + 8 + 7 = 3 + 7 = 10

The result is 10.

d. (-5) - (-8) - (-7) - (+2) - (+2)

Let's simplify this expression step by step:

(-5) - (-8) - (-7) - (+2) - (+2)

Again, let's rewrite the double negatives as addition:

(-5) + 8 + 7 - 2 - 2

Now, we can perform the addition and subtraction:

-5 + 8 + 7 - 2 - 2 = 3 + 7 - 2 - 2 = 10 - 4 = 6

The result is 6.

for such more question on real number system

https://brainly.com/question/17100526

#SPJ8

To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

Answer:

slope is 4

Step-by-step explanation:

589.43 m is the approximate length of AB from the given triangle

The given diagram is a triangle. From the given triangle, the equivalent expression that will be used is given as:

BC² = AC² + AB² - 2(AC)(AB) cos Ф

Substitute the given parameters

482² = 358² + AB² - 2(358)(AB) cos 54.8

482² - 358² =  AB² - 716(AB) cos 54.8

104160 =  AB²- 412.72AB
AB²- 412.72AB - 104160 = 0

On factorizing the result, the measure of the length AB is approximately 589.43 m

Learn more on cosine rule here: https://brainly.com/question/23720007

#SPJ1

Answer: 2.5=Y

Step-by-step explanation: you divide -2 by 5 which is -2.5 then you add 5 giving you the result of 2.5 or Y

Answer:

See attached image

Step-by-step explanation:

In order to graph, find about three different points that belong to the line, and join them with a straight line.

The points I suggest are using easy values of "x" that will make the calculation of the y-value simple. For example the x-values: 0, 5, -5

When x = 0 , y becomes: y = -(2/5) (0) + 5 = 5

When x = 5,  y becomes : y = -(2/5) (5) + 5 = - 2 + 5 = 3

When x = -5,  y becomes: y = -(2/5) (-5) + 5 = 2 + 5 = 7

Then plot the points (0, 5), (5, 3) and (-5, 7) on the plane, and join them with a line as shown in the attached image.

Answer:  x = 2, y = -1

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

Answer:

hey, i hope you are having a wonderful day.

Step-by-step explanation:

Answer:

Cindy uhh, I can't really see the figures well but I think you'll insert the x and y values into the function given and solve for A, B and C simultaneously.

where you see f(x), put in there the y value of the point and where you see x , put in the x value of the point.

Also ,you can nullify A and B to get C first . You can do that by putting zero in place of x and putting it's correspondent on the y axis into f(x)

Answer:

smsmsmandkjenkj

um

Answer:

m∠4 and m∠2 = 81 degrees, m∠3 is 99 degrees

Step-by-step explanation:

180 - 99 = 81, therefore m∠4 and m∠2 are 81 degrees

Since 1 is 99 degrees, m∠3 is 99 degrees too.

I hope this helped, please mark Brainliest, thank you!

Answer:

Angle 1 = 99

Angle 2=81

Angle 3=99

Angle 4=81

Step-by-step explanation:

Angle one is given with this we can conclude angle 3 as they are vertical of each other.

Angle two can be seen as the sum of Angles 1 and 2 equal 180 as angle 1 is 99 we may assume angle two is 81.

Angle four is the vertical of angle two so it is 81 as well.

Not positive of this answer as I'm in geometry but I tried.

Best of luck mate

Answer:

  4x +7y

Step-by-step explanation:

(8x +10y) +(-4x -3y) = x(8 -4) +y(10 -3) = 4x +7y

__

Combine like terms. Pay attention to signs.

Answer:

Your answer is

-2r-7

Step-by-step explanation:

Hope this helps!

Answer:

-2r-7

Step-by-step explanation:

Answer:

Natural Numbers!!

Step-by-step explanation:

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

For more questions on Probability .

https://brainly.com/question/24756209

#SPJ8

Answer:

8x21 (i think this is it..)

Step-by-step explanation:

If it is 8 x (14+7)=? + (8 x 7), then it should be (8 x 14)+ (8 x 7), which is the distributive property of multiplication. There, the 8 is multiplied by each of the terms in the parentheses and the two products are added. That answer is 112+56=168, which is 8 x 21.

Answer:

Differential equation: [tex]\frac{dA}{dt} = k\cdot A(t)[/tex], [tex]k < 0[/tex], [tex]k = -\frac{1}{\tau}[/tex], [tex]\tau > 0[/tex].

Solution: [tex]A(t) = A_{o}\cdot e^{-\frac{t}{\tau} }[/tex]

Step-by-step explanation:

Let suppose that rate of change of the amount of Carbon-14 atoms are directly proportional to the current amount of Carbon-14 atoms. That is:

[tex]\frac{dA}{dt}\propto A(t)[/tex]

[tex]\frac{dA}{dt} = k\cdot A(t)[/tex]

Where:

[tex]A (t)[/tex] - Amount of Carbon-14 atoms, dimensionless.

[tex]k[/tex] - Proportionality constant, measured in [tex]\frac{1}{yr}[/tex].

[tex]k[/tex] must be negative as death rate is constant and birth rate is zero. ([tex]k< 0[/tex]). Dimensionally, we can rewritte this constant as following:

[tex]k = -\frac{1}{\tau}[/tex]

Where [tex]\tau[/tex] is the time constant ([tex]\tau > 0[/tex]), measured in years.

We can find the solution of the ordinary differential equation by separating each variable:

[tex]\frac{dA}{dt} = -\frac{1}{\tau}\cdot A[/tex]

[tex]\int {\frac{dA}{A} } = -\frac{1}{\tau} \int \, dt[/tex]

[tex]\ln A(t) = -\frac{t}{\tau} + C[/tex]

[tex]A(t) = e^{-\frac{t}{\tau}+C }[/tex]

[tex]A(t) = e^{C}\cdot e^{-\frac{t}{\tau} }[/tex]

[tex]A(t) = A_{o}\cdot e^{-\frac{t}{\tau} }[/tex]

Where [tex]A_{o}[/tex] is the initial amount of atoms of Carbon-14.

Answer:

Rs 36 600

Step-by-step explanation:

PRT/100

P is the principle

R is the rate of interest

T is the time taken

30 000 * 2 * 11

=660 000/100

= 6600 is the amount of interest charged after the 2 years

now to find the total amount received after the 2 years

= 6600 + 30 000 =36600

Answer:

[tex] y = 8x + 16 [/tex]

[tex] x = 12 [/tex]

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format [tex] y = mx + b [/tex].

Where,

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

[tex] (0, 16) = (x_1, y_1) [/tex]

[tex] (3, 40) = (x_2, y_2) [/tex]

[tex] slope (m) = \frac{40 - 16}{3 - 0} [/tex]

[tex] slope (m) = \frac{24}{3} [/tex]

[tex] slope (m) = 8 [/tex]

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

[tex] y = mx + b [/tex]

[tex] 16 = 8(0) + b [/tex]

[tex] 16 = 0 + b [/tex]

[tex] 16 = b [/tex]

[tex] b = 16 [/tex]

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

[tex] y = mx + b [/tex]

[tex] y = 8x + 16 [/tex]

Let's use the equation to find x when y = 112.

[tex] y = 8x + 16 [/tex]

Substitute y = 112 in the equation

[tex] 112 = 8x + 16 [/tex]

[tex] 112 - 16 = 8x [/tex]

[tex] 96 = 8x [/tex]

Divide both sides by 8

[tex] 12 = x [/tex]

[tex] x = 12 [/tex]

Answer: $97.524

Step-by-step explanation:

First let's calculate the price after the tax rate:

converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)

Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524

Answer:

$60 per week

Step-by-step explanation:

Mark me brainliest if possible

Answer: A= 21/13

Step-by-step explanation:

The total amount that Portfolio 2 earns is approximately $567.75.

To calculate the earnings for Portfolio 2, we need to calculate the return on each investment and then sum them up.

Return on Savings Account:

= $1,450 * 2.80%

= $40.60

Return on Government Bond:

= $2,200 * (-1.55%)

= -$34.10

Return on Preferred Stock:

= $3,700 * 11.70%

= $432.90

Return on Common Stock:

= $1,500 * 8.49%

= $127.35

Total earnings for Portfolio 2 is:

= $40.60 + (-$34.10) + $432.90 + $127.35

= $567.75.

Read more about Portfolio

brainly.com/question/25929259

#SPJ1

Answer:

If they are seperate numbers then it would be

47,582 and 162,315

If they are the same number it would be 47,582,162,315