Fiona bought a house three years ago at the price of $150,000. Today the house is worth $160,000. Fiona still owes $110,000 on the home's mortgage loan. What is Fiona's current equity in her home?

The population in 2026 according to the exponential growth function will be approximately 54,515.

Given,

The population in 2001 = 26,100

Annual growth rate = 4%

Population growth function can be written as,

\(P(t) = P0e^rt\)

Where,P(t) = Population after t years

P0 = Population at time t = 0

r = Annual growth rate (in decimal form)

t = Time (in years)

According to the given question,In the year 2026, the number of years from 2001 is,2026 – 2001 = 25 years

Therefore,t = 25 years

r = 4% = 0.04

Using these values in the population growth function,

\(P(t) = P0e^rt\)

Population in 2026 = P(25)

\(P(25) = 26,100e^(0.04 x 25)\)

P(25) = 26,100e

P(25) ≈ 54,515

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Answer:

5km

Step-by-step explanation:

The formula for hypotenuse is

a squared + b squared = c squared,

4 squared is 16, and 3 squared is 9.

16+9 = c squared

25 = c squared

However, you don't want it to be squared, so you have to find the square root of 25, which is 5.

Answer:

0.45

Step-by-step explanation:

Since the percent to pull a ball with a 2 is 30% and the percent to pull a ball with a 4 is 15%, that means that the chance of pulling a ball with an even number is 0.45, or 45%. (0.30+0.15=0.45)

Answer:

slope = \(\frac{1}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 4)

m = \(\frac{4-3}{2+2}\) = \(\frac{1}{4}\)

Negative linear correlation between variables.

The statement "The more you save (x), the less you spend (y)" suggests a negative linear correlation between the variables x and y. In a negative linear correlation, as one variable increases, the other variable decreases at a constant rate.

In this case, as the amount saved (x) increases, the amount spent (y) decreases. This implies that if someone saves more money, they tend to spend less money. It is important to note that correlation does not necessarily imply causation.

In other words, just because there is a negative linear correlation between the amount saved and the amount spent, it does not mean that saving more money causes people to spend less. There may be other factors that influence both variables. Nonetheless, understanding the nature of the correlation between variables can be useful in making predictions and analyzing data.

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Answer:

otf

Step-by-step explanation:

Answer:

I feel as if 4KT is better since the calculations of the vortexual system doesn't add up. If we were to take 4KT slime slatt with OTF king von x lil durk wannabes it would make an oavertion.

Step-by-step explanation:

Answer: |10 - (-8)|  

The absolute value is 18

Step-by-step explanation:

The distance between two numbers is a subtraction equation.

10 - (-8)  Subtracting a negative is like adding a positive

10 + 8 = 18

If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"

Answer:

|-10 - (-8)|

Step-by-step explanation:

I hope this helps!

We can write 2 equations from the information given.

Let the amount invested in CD be "x" and the amount invested in bond be "y".

The total amount invested is $600,000. Thus, we can write,

The CD pays 2% (0.02) and the bond pays 8.5% (0.085). Total interest needed is $27,000. Thus, we can craft another equation,

Solving the first equation for "x", we can substitute it into the second equation and solve for "y" first. The steps are shown below:

Now, we can find "x",

Rounded to the nearest dollar, we write our answer >>>

Maximize Z=10000C+12000E+5000M+15000T

Subject to 2C+4E+M+3T ≤ 0.6× 40× 24

2C+2E+M+3T ≤ 0.4× 40× 24

M ≤ 40/20

E ≥ 20/40 C, E, M, T ≥ 0

Let the number of regular cars, electric cars, motorbikes and trucks produced in 40 days be C, E, M and T respectively.

The objective is to maximize the profit. Therefore, the objective function is given by:

Maximize Z=10000C+12000E+5000M+15000T

Subject to,The manufacturing time constraint, which is given as 2C+4E+M+3T ≤ 0.6× 40× 24

This constraint ensures that the total time taken for parts assembly does not exceed 60% of the total time available for production.The finishing time constraint, which is given as 2C+2E+M+3T ≤ 0.4× 40× 24

This constraint ensures that the total time taken for finishing touches does not exceed 40% of the total time available for production.

The limit on the production of motorbikes, which is given as M ≤ 40/20

This constraint ensures that the number of motorbikes produced does not exceed one in every 20 days.The minimum production of electric cars, which is given as E ≥ 20/40

This constraint ensures that at least one electric car is produced in every 20 days.The non-negativity constraint, which is given as C, E, M, T ≥ 0

These constraints ensure that the number of vehicles produced cannot be negative.

The mathematical formulation for the problem is given by:

Maximize Z=10000C+12000E+5000M+15000T

Subject to 2C+4E+M+3T ≤ 0.6× 40× 24

2C+2E+M+3T ≤ 0.4× 40× 24

M ≤ 40/20

E ≥ 20/40 C, E, M, T ≥ 0

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Answer:

52

Step-by-step explanation:

Answer:

$4800 is the total cost

Step-by-step explanation:

so each ticket costs $80 and there is 60 tickets

$80*60 = $4800

Have a nice day! :-)

The displacement of the man from Noth east of A from C is 12.2 km.

The displacement of the man is the distance between his initial position at A and final position at C.

The angle formed at position B is calculated as follows;

θ = 30⁰  + 90⁰

θ = 120⁰

The displacement of the man is calculated by applying cosine rule as follows;

d² = 8² + 6² - 2(8 x 6) cos (120)

d² = 148

d = √148

d = 12.2 km

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Answer:

ur really weird we are not dating you weirdo

Step-by-step explanation:

Answer:

the total payment need to pay is $525

Step-by-step explanation:

Given that

The amount at promissory note issued is $500

The rate of interest is 10%

And, the time period is 180 days

So, the total payment included is

= $500 + ($500 × 10% × 180 days ÷ 360 days)

= $500 + $25

= $525

hence, the total payment need to pay is $525

Answer:

The x intercept is 4 (by substituting y as zero we get x intercept)

And the y intercept is 8 (by substituting x as zero we get y intercept)

Take (4, 0) and take (8, 0) to graph the line

You're welcome!

Answer:

x = 4 y = 8 graph (4,0) and (8,0)

Answer:

I Disagree with Peter, the explanation is down below.

Step-by-step explanation:

I disagree because to find the least common multiple or the LCM, you need to first list the first several multiples of each number. So, because the numbers are 4 and 6, I would write:

4 - 4, 8, 12, 16, 20, 24, 28, 32

6 - 6, 12, 18, 24 30, 36, 42, 48

The next step would be to find the same multiples in the list. If there are no same multiples, then I would keep on adding multiples.

If we look at the list, the first numbers that we see that are the same are 12 and 12.

12 would be the LCM, not 24.

If the two numbers were 24 and 12, then the LCM would have been 24, but in this case, the LCM is 12. So that is why I disagree.

Hope this helped! :D

Have a wonderful day!~~

Answer: true i believe

Step-by-step explanation:

Answer:

Ill Look

Step-by-step explanation:

Answer:

y=1/4x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-(-2))/(8-(-4))

m=(1+2)/(8+4)

m=3/12

m=1/4

y-y1=m(x-x1)

y-(-2)=1/4(x-(-4))

y+2=1/4(x+4)

y=1/4x+4/4-2

y=1/4x+1-2

y=1/4x-1

The difference between the two localities is 1 speaker.

Let's solve the problems step by step:

a) To determine which of the two locations has a higher number of speakers of a language other than Spanish, we need to compare the ratios of speakers in El Cerrito and El Paseo.

In El Cerrito, 3 out of every 4 people speak a different language than Spanish. This can be written as a ratio: 3:4.

In El Paseo, 5 out of every 7 people speak a different language than Spanish. This can be written as a ratio: 5:7.

To compare the two ratios, we can find a common denominator. In this case, the least common multiple of 4 and 7 is 28.

In El Cerrito, the ratio becomes 21:28 (multiplying both sides by 7).

In El Paseo, the ratio becomes 20:28 (multiplying both sides by 4).

From the ratios, we can see that in El Cerrito, there are 21 out of 28 people who speak a different language than Spanish, while in El Paseo, there are 20 out of 28 people who speak a different language than Spanish.

Since 21 is greater than 20, El Cerrito has a higher number of speakers of a language other than Spanish.

b) The difference between the two localities can be calculated by subtracting the number of speakers in El Paseo from the number of speakers in El Cerrito.

In El Cerrito, there are 21 speakers of a different language than Spanish.

In El Paseo, there are 20 speakers of a different language than Spanish.

The difference is obtained by subtracting 20 from 21, resulting in a difference of 1 speaker.

Therefore, the difference between the two localities is 1 speaker.

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The number of the total students that are at the school is 570 if the ratio of boys to girls in a school is nine: ten and there are 300 girls at the school.

The ratio formula is given as a:b = a/b for any two quantities, let's say a and b.

Given that a and b are separate amounts for two quantities, the combined total quantity is denoted as (a + b).

Three steps are necessary to determine the ratio of three numbers:

Step 1: Add the ratio's numbers together to determine the total number of pieces.

Step 2: By dividing the given sum by the total number of parts, determine the value of each component in the ratio.

Step 3: Divide the original ratio by the sum of each component's values.

The ratio is given as 9:10 as boys to girls.

Number of girls = 300

Thus, girls will be 10x and boys will be 9x

then 10x = 300

⇒x = 30

Then we can calculate the number of boys as

9x = 9*30

=270

Thus, the total number of students in the school

= exact number of girls + exact number of boys

= 300 + 270

= 570

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The probability that the Markov chain starting in state 0 will not reach state 1 before time 3 is given by P0(T1≥3)=p^3.

The probability P0(T1≥3), we need to calculate the probability that the Markov chain starting in state 0 does not transition to state 1 within the first three time steps. Since the only possible transition from state 0 is to stay in state 0, the probability of staying in state 0 for one time step is 1 - p. Therefore, the probability of staying in state 0 for three consecutive time steps is (1 - p)^3. This is because the Markov chain is memoryless, meaning that each time step is independent of previous time steps. Thus, the probability that the Markov chain starting in state 0 will not reach state 1 before time 3 is given by P0(T1≥3) = (1 - p)^3.

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Answer:

Step-by-step explanation:

Look at the intersection of the row "Tenth grade" and the column "Internet"

The number in the relevant cell is 34.

Divide 34 by the total number which is 175:

Correct choice is D

Answer:

D. 0.19

Step-by-step explanation:

Have a great day

The 0.4 in the yellow cell represents the relative frequency of flights that were on time for Airline A.

Option A is the correct answer.

A Relative frequency is a statistical measure that represents the proportion or percentage of a certain category or value in relation to a given set of data.

It is calculated by dividing the frequency of a particular category by the total number of observations in the data set.

We have,

Looking at the table, we can see that the column for Airline A has a total relative frequency of 0.6, which means that 60% of all flights were operated by Airline A.

However, the question asks specifically about the percentage of flights that were on time for Airline A, which is given as 0.4 or 40% in the table.

Thus,

The 0.4 in the yellow cell represents the relative frequency of flights that were on time for Airline A.

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Answer:

3000

Step-by-step explanation:

8 x 375 = 3000

Answer:

3.87

Step-by-step explanation:

b =

\( \sqrt{8 ^{2} -7 ^{2}} \)