WILL MARK BRAINLIEST

The Miller family and the Adams family both purchased houses on the same day several years ago
The Miller family bought their house for S159,352 and it has been increasing in value by 3.7% each year.
The value of the Adams family's home since it was purchased, A(z) can be modeled by the function A(z) = 142, 809(1.04)", where a represents the number of years since the house was purchased
PartA) Which family paid more for their house?
Part B) Which family's home value is increasing at a faster rate?

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Answer: 200

Step-by-step explanation:

No___count ____cumm____count%___cumm%

0_____40_______40_______20%_____20%

1_____80_______120_______40%_____60%

2____48________168_______24%_____84%

3____20________188_______10%______94%

4____8_________196_______4%_______98%

5____4_________200_______2%______100%

Hence number of observations in the sample is the sum of counts of each interception, which is also the bottom most value of the cumulative frequency column.

Sum of counts (40 + 80 + 48 + 20 + 8 + 4) = 200

Answer:

20

Step-by-step explanation:

6.07 *3.29=19.9703

since rhe number after decimal is greater than 5

so we can add 1 to the real number

that's why whole number is 19+1=20

The graph of the function is attached

The amplitude and the period are 5 and 2π

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

f(x) = 5cos(θ)

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D

Where

So, we have

A = 5

Period = 2π/1

Evaluate

A = 5

Period = 2π

Hence, the amplitude is 5 and the period is 2π

The graph of the function is attached

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Answer: The notebook is worth 2.79

Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:

7 x 3 = 21

21 / 100 = 0.21

3 - 0.21 = 2.79

Hope this helps :)

The correct answer is B. Cognitive coping training

Explanation:

In a research study or experiment, the independent variable can be identified by answering questions such as what is the variable the researcher manipulates? or which variable is expected to affect another?. In Dr. Green's study, the factor she is manipulating is cognitive coping training because half of the participants are exposed to this training, and the other half are not exposed.

Also, the purpose of this study is to "examine the effect of cognitive coping training on stress levels", which shows cognitive coping training is independent as this is not affected by other variables and it is expected it affects the second variable or stress level. According to this, her independent variable is cognitive coping training.

Answer:

13cm

Step-by-step explanation:

Answer:

1 - 100 primes numbers

Step-by-step explanation:

2,3,5,7,11,13,17,19,23,29,31,37,41,47,57,59,61,67,71,79,83,8797

Step-by-step explanation:

The frequency is now many times a value in your set of data occurs within the given range. Your frequencies are:

0.00-0.19 (21)

0.20-0.39 (5)

0.40-0.59 (3)

0.60-0.79 (0)

0.80-0.99 (0)

1.00-1.19 (0)

1.20-1.39 (1)

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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One example of real-world situation that uses logarithms is for amount of substance that are decaying over time.

An amount of a decaying substance after t years is modeled by the following exponential equation:

\(P(t) = P(0)e^{-kt}\)

In which:

The simplest example of the use of logarithms is to find the half-life of the substance, that is, the year t for which P(t) = 0.5P(0).

Then:

\(0.5P(0) = P(0)e^{-kt}\)

\(e^{-kt} = 0.5\)

The natural logarithm is used to find the half life, as it is the inverse of the exponential.

\(\ln{e^{-kt}} = \ln{0.5}\)

\(-kt = \ln{0.5}\)

\(t = -\frac{\ln{0.5}}{k}\)

Hence we showed another application of logarithms in a real-word model.

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3888

Step-by-step explanation:

take

36×18×6=3888

Step-by-step explanation:

Use the first fundamental theorem of calculus.

∫₆¹⁰ f'(x) dx = f(10) − f(6) = 8 − 8 = 0

Answer:

20, 30, 50, they all go into 2 and they also go into 6, two doesn't divide equally into 5.

Answer:

907.46

Step-by-step explanation:

Since the diameter of a circle is twice the radius, the radius of this circle is 34/2=17 feet. The area of a circle is \(\pi r^2\), which means that the area of this one is:

\(3.14 \cdot 17^2 = 907.46\)

Hope this helps!

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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Answer:

15

Explanation:

Note that a regular dodecagon is a 12 sided polygon with internal angles that are equal and sides of the same length.

So determine at what angle the architect should cut to frame the base, we have to divide 360 by 12 and divide the result by 2 as seen below;

The angle that the architect should cut to frame the base is 15 degrees

Answer:

Find the perimeter of a park that measures 7 miles by 910 miles. Get the answers you need, now! ... Advertisement tasha005111 is waiting for your help. Add your answer and earn points. kaylapoo34 kaylapoo34 Answer: the answer is 130. Step-by-step explanation: ... 15 Niles and Bob sailed at the same time for the same length of time.

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Answer: Thursday

Step-by-step explanation:

I hope this helps

Answer: Thursday

Step-by-step explanation:

It's Thursday because any number below 0 is a negative number but, as Thursday is 3° above 0, it is positive.

Hope this helps :)

Answer:

\( p(x)= x^3-2x^2+x-2 \)

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \(\alpha , \ \beta \ \& \ \gamma \) are the zeros of the cubic polynomial , then ,

\(\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma) \)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\(\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i) \)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\(\sf \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\} \)

Simplify using i = √-1 ,

\(\sf \longrightarrow p(x)= (x-2)( x^2 + 1 ) \)

Multiply by distribution ,

\(\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1) \)

Simplify by opening the brackets ,

\(\sf\longrightarrow p(x)= x^3+x-2x^2-2 \)

Rearrange ,

\(\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}\)

Answer:

\(\sin(\frac{19}{12}\pi)\\\\=\sin(\frac{15}{12}\pi+\frac{4}{12}\pi)\\\\=\sin(\frac{15}{12}\pi)\sin(\frac{1}{3}\pi)+\cos(\frac{15}{12}\pi)\cos(\frac{1}{3}\pi)\\\\=-\frac{\sqrt{2}}{2}\cdot\frac{\sqrt{3}}{2}-\frac{\sqrt{2}}{2}\cdot\frac{1}{2}\\\\=\frac{-\sqrt{6}-\sqrt{2}}{4}\\\\=-\frac{\sqrt{2}(\sqrt{3}+1)}{4}\)

A=2

B=3

I genuinely hope this helped you answer the question. Have a nice day.

The total number of yards the friends who paddle the Adventure Mid travel is 8,580 yards

Number of friends who paddle Adventure Mid Trip = 40% of 15

= 0.4 × 15

= 6 friends

Total yards the friends who paddle the Adventure Mid Trip travel = Total length of travel

= 4 7/8 miles

Recall,

1 mile = 1760 yards

Total yards the friends who paddle the Adventure = 4 7/8 × 1,760

= 39/8 × 1,760

= (39 × 1,760) / 8

= 68,640 / 8

= 8,580 yards

Consequently, the task content is solved by converting number of miles to yards.

Complete question:

Great Adventures Canoe and Kayak company offers 3 different options as shown in the table. This afternoon a group of 15 friends paddle the different options in individual kayaks and 40% of the group paddle the Adventure Mid Trip. How many total yards will the friends who paddle the Adventure Mid Trip travel? (Hint: 1 mile = 1760 yards)

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