Carrie has $10 in a savings account. The interest rate is 10%, compounded annually.
To the nearest cent, how much will she have in 3 years?
Submit

The required function is : H = 2w.

What is the unitary method of problem solving?
In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple. How to calculate the worth of one pen, for example, if 40 pens cost $400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used.

Given, the gross pay for two week = w
The gross pay for one week = w/2
The gross pay for the month = 4*(w/2) = 2w
The function thus derived is : H = 2w

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Answer:

-8 degrees

Step-by-step explanation

Half of negative 16 would be negative 8.

Answer:

-8

Step-by-step explanation:

-16 ÷ 2 = -8

You could also do:

16 ÷ 2 = 8

and then put a negative in front of 8

And to prove it's true,

8 x 2 = 16

-8 x 2 = -16

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

For the same quantity of blue, the two highlighted rows demonstrate this. Purple 1 then utilizes more red than Purple 2.

Purple 1 is thus a redder hue of purple than Purple 2.

Purple 2 is a more blue-based purple than Purple 1.

The utilization of two or more additional numbers that compares is known as the ratio.

The ratio of red to blue in purple 1 and purple 2 will be 1:2 and 1:3, respectively. The table is given below.

Purple #1              Purple #2

Red: Blue             Red: Blue

  1      2                    1      3

 2      4                   2      6

 3      6                   3      9

For the same quantity of blue, the two highlighted rows demonstrate this. Purple 1 then utilizes more red than Purple 2.

Purple 1 is thus a redder hue of purple than Purple 2.

Purple 2 is a more blue-based purple than Purple 1.

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The solution of the integral by variable change is equal to (1 / 6) · √(2 · x + 3)³ - (3 / 2) · √(2 · x + 3).

In this problem we find the definition of an integral, whose solution must be found by variable change, that is, a kind of algebraic substitution. First, write the complete expression:

∫ [x / √(2 · x + 3)] dx

Second, use algebraic substitution to simplify the expression:

u = 2 · x + 3

x = (u - 3) / 2

dx = du / 2

(1 / 2) ∫  [(u - 3) / (2 · √u)] du

(1 / 4) ∫ [(u - 3) / √u] du

(1 / 4) ∫√u du - (3 / 4) ∫ du / √u

Third, solve the integral:

(1 / 6) · √u³ - (3 / 2) · √u

Fourth, revert the algebraic substitution:

(1 / 6) · √(2 · x + 3)³ - (3 / 2) · √(2 · x + 3)

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Answer:

inches

Step-by-step explanation:

well depends on how big your foot is

b. four fifths plus two fourths

Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.

Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.

4/5  20/5 = 4    4×4 = 16   so 4/5 is equivalent to 16/20

2/4   20/4 = 5    5×2 = 10   so  2/4 is equivalent to 10/20  

Add:    16/20 + 10/20 = 26/20

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Answer:

-2x^4 - 6x^3 - 8x^2

Step-by-step explanation:

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

The question is not complete

Answer:

x = k/6 - c/6 :)))))))))))))))))))

Answer:

The area of this trapezoid is equal to 660\(in^{2}\)

Step-by-step explanation:

The area of a trapezoid is equal to the sum of the lengths of the two parallel sides times the height of the trapezoid and then divided by 2, so we can write that down as...

\(Area = \frac{(a+b)(h)}{2}= \frac{(30 + 36)(20)}{2} = \frac{1320}{2} = 660 in^{2}\)

Therefore the area of this trapezoid is equal to 660\(in^{2}\)

Answer: 33

b¹ + b²

_____ = h

2

30+36

_____

2

66

__ = 33 square inches

2

To modify a function in R to also determine if the R-squared is significant based on a given threshold, you can add an additional step to the function that calculates the p-value for the R-squared using the summary function.

Here is an example of how you might modify a function to do this:

modifyFunction <- function(data, threshold) {

 # Fit the model and get the summary

 model <- lm(y ~ x, data = data)

 summary <- summary(model)

 # Calculate the p-value for the R-squared

 rsquared <- summary$r.squared

 n <- nrow(data)

 pvalue <- 1 - pf(rsquared * (n - 2) / (1 - rsquared), 1, n - 2)

 # Determine if the R-squared is significant based on the threshold

 if (pvalue < threshold) {

   result <- "R-squared is significant"

 } else {

   result <- "R-squared is not significant"

 }

 return(result)

}

# Test the function

modifyFunction(data = mydata, threshold = 0.05)

In this example, the function takes two arguments: data and threshold. The data argument is the data frame containing the data, and the threshold argument is the level of significance that you want to use to determine if the R-squared is significant.

The function first fits a linear model using the lm function, and then gets the summary using the summary function. It then calculates the p-value for the R-squared using the pf function and compares it to the threshold. If the p-value is less than the threshold, the function returns the result "R-squared is significant". If the p-value is greater than the threshold, the function returns the result "R-squared is not significant".

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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The radius of this circle with center (8, 2) is equal to 6.71 units.

In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given points into the distance formula, the radius of this circle can be calculated as follows;

Distance = √[(14 - 8)² + (-1 - 2)²]

Distance = √[(6)² + (-3)²]

Distance = √[36 + 9]

Distance = √45

Distance = 6.71 units.

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Complete Question:

What is the radius of the circle with Center: (8, 2), Point on Circle: (14,-1)? 2 decimal places

Answer: 1) 500, 000

2) Five hundred thousand

3) \(5\times10^5\)

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = 500, 000

In word - Five hundred thousand [ as place value of 5 =  hundred thousand]

In scientific notation, \(500, 000=5\times10^5\)

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) \(5\times10^5\)

Answer:

The area of this trapezoid is equal to 240 \(m^{2}\)

Step-by-step explanation:

The area of a trapezoid can be found by using the following formula...

\(Area = \frac{(a + b)h}{2}\)   (in this formula a and b are the bases of the trapezoid and h is

                         the height of the trapezoid).

Now we just substitute the values and get...

\(Area = \frac{(a + b)h}{2} = \frac{(9 + 15)(20)}{2} = \frac{480}{2} = 240m^{2}\)

Answer:

GH = 15

Step-by-step explanation:

In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. Therefore:

\(9x - 3 = \frac{1}{2} (19 + 5x + 1)\)

\(18x - 6 = 5x + 20\)

\(13x = 26\)

\(x = 2\)

\(9(2) - 3 = 18 - 3 = 15\)

The frequency of each drink in the statistics class can be found to be :

The frequency of something refers to the number of times that thing happens. In this case, it therefore means the number of students who prefer a certain drink over the other ones.

From the table, the number of students who chose Sprite was 6 students. 5 students chose Dr Pepper and 11 students chose Coke. Then only a single student chose Mtn Dew while 7 students chose Pepsi.

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An equation of the circle that satisfies the given condition is (x+3))^2 + (y - 2)^2 = 73

The formula for finding the equation of a circle is expressed as:

(x-a)^2 + (y - b)^2 = r^2

Determine the value of r^2 using the distance between two points

r^2 = (-6-2)^2 + (-6+3)^2
r^2 = 64 + 9

r^2 = 73

Given the centre (a, b) as (-3, 2), the equatio of the circle will be;

(x-(-3))^2 + (y - 2)^2 = 73

(x+3))^2 + (y - 2)^2 = 73

Hence the equation of the circle is (x+3))^2 + (y - 2)^2 = 73

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Answer:

It takes him 1 minute and 25 seconds

Step-by-step explanation:

5 ÷ 4 = 1.25

The number of laps per minute is 1.25 laps.

Given that, time = 4 minutes and the number of laps = 5.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

Number of laps per minute = Total number of laps/Number of minutes

= 5/4

= 1.25 laps

Therefore, the number of laps per minute is 1.25 laps.

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Answer:

0.29b =

Step-by-step explanation:

each banana costs .29 $ so if you replace b with any number, you would have the cost the certain quantity of bananas

Step-by-step explanation:

The question is not properly formated, here is the correct format

The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=274−4x, find the revenue if 12 units are sold. Round to two decimal places.

Step one

given the following expression

Revenue

\(R(x)=xp(x)\)

Unit price

\(p(x)=274-4x\)

Required

the revenue when 12 units were sold

let us find the unit price for 12 units

\(p(x)=274-4x\\\\p(x)=274-4(12)\\\\p(x)=274-48\\\\p(x)=226\)

Hence the unit price is$ 226

\(R(x)=xp(x)\\\\R(x)=12*226\\\\R(x)=2712\)

Revenue is $2712

There is a revenue of $5.04 if 12 units are sold.

Revenue is the product of the number of units and the price per unit. It is given by:

Revenue = number of units * price per unit

Revenue = x * p(x)

Given that the price per unit is:

\(p(x)=27(4)^{-\frac{x}{4} }\\\\For\ x=12:\\\\\\p(12)=27(4)^{-\frac{12}{4} }=\$0.42\)

Therefore the revenue is:

Revenue = x * p(x) = 12 * 0.42

Revenue = $5.04

Therefore there is a revenue of $5.04 if 12 units are sold.

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Sin = 4/5, with the help of trigonometric ratios.

Triangle side length ratiοs are knοwn as trigοnοmetric ratiοs.

In trigοnοmetry, these ratiοs shοw hοw the ratiο οf a right triangle's sides tο each angle

Sine, cοsine, and tangent ratiοs are the three fundamental trigοnοmetric ratiοs.

The sin, cοs, and tan functiοns can be used tο οbtain the οther significant trig ratiοs, cοsec, sec, and cοt.

Trigοnοn, which means "triangle," and metrôn, which means "tο measure," are the rοοts οf the term "trigοnοmetry."

Triangle side length ratiοs are knοwn as trigοnοmetric ratiοs.

Here,

cot = cos/sin

sin= PERPENDICULAR/HYPOTENUSE

cot = BASE/HYPOTENUSE

sin = 4/5

Hence, Sin=4/5, with the help of trigonometric ratios.

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Answer:

The perimeter of given figure = 56.56 ft

Step-by-step explanation:

Step(i):-

From diagram

The length of the rectangle = 10 ft

The width of the rectangle = 8 ft

Perimeter of the rectangle

= 2 ( l+w)

= 2 ( 10 + 8)

= 2 × 18

= 36

Step(ii):-

The semi circle is included in the given diagram

Now we will find the perimeter of semicircle

We know that

perimeter of the circle

p = 2πr + d

perimeter of the semicircle

P = πr + 2 r (∵ d = 2 r)

Step(iii):-

From diagram the diameter of semicircle is equal to the width of the rectangle

d = 8

d = 2 r = 8

The radius of the circle 'r' = 4

perimeter of the semicircle

P = πr + 2 r

P = 3.14 ( 4) + 8

P= 20.56

Conclusion:-

The perimeter of given figure

= perimeter of rectangle + perimeter of semicircle

= 36 + 20.56

=56.56 ft

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Answer:

collect like term

Step-by-step explanation:

in order to solve

Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.

Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.

Positive Results/Total Results = x/n = Probability (Event)

The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:

P (18-29 and no) = 293/(134 + 293 + 117) = 0.536

The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:

P (30+ and no) = 432/(131 + 432 + 178) = 0.654

The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:

P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265

Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.

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The complete question is:

Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?

The probability of selecting a red candy from the bag will be 4/14.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

In the bag 4 red, 3 green, and 7 yellow candies.

Total candies = 4 + 3 + 7 = 14

The number of red candies is 4

The probability of selecting red candy is = 4/14

Hence"Picking a red candy out of the bag will have a 4/14 chance of happening".

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