The future value of a condominium bought for $145,000 with a 5% annual appreciation over 5 years is calculated using the compound interest formula, resulting in a value of approximately $185,061.
The question is asking us to calculate the future value of an investment in real estate, specifically a condominium that was bought for $145,000 with an annual appreciation rate of 5% over a span of 5 years. To find the value of the condo in 5 years, we use the formula for compound interest, which is:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for in years.
Since the appreciation is compounded annually, n is 1. So, we can simplify the formula to:
[tex]A = P(1 + r)^t[/tex]
Substituting the given values:
[tex]A = $145,000(1 + 0.05)^5[/tex]
Now, let's calculate the future value:
[tex]A = $145,000(1.05)^5[/tex]
A = $145,000(1.2762825)
A ≈ $185,061
The condominium will be worth approximately $185,061 in 5 years.
Simplify the radical 147
Answer and Explanation: The square root of 147 is approximately 12.12436 or 7√3 in radical form. To begin, examine 147's factors. These are: 1, 3, 7, 21, 49, 147.
Hope this helped
Answer:
12.12436 or 7√3
Step-by-step explanation:
please help :(( i gotta hurryy >
The polynomial that represents the area of the given rectangle is [tex]32x^2+16x+2.[/tex]
Step-by-step explanation:
We are given with a rectangle which has the length and breadth.
Also the length and breadth is given in the form of polynomial.
The length of the rectangle = 2(4x+1).
which can also be written as 8x+2.
The breadth of the rectangle= 4x+1
Area of the rectangle A= length × breadth.
⇒A=(8x+2)×(4x+1).
=[tex]32x^2+8x+8x+2.[/tex].
=[tex]32x^2+16x+2.[/tex]
Thus the area of the given rectangle is [tex]32x^2+16x+2.[/tex]
A study indicated that the citizens of Newport wasted 38,080 gallons of water last year. This year they wasted 20% less. How many gallons did the citizens wasted this year
Question 16(Multiple Choice Worth 1 points)
(06.02 LC)
Which statement best describes the expression 4y ÷ 9?
9 divided by 4 times y
9 times y divided by 4
4 times y divided by 9
4 divided by 9 times y
Answer:
4 times y divided by 9
Step-by-step explanation:
4y means 4×y which is 4 times y that is divided by 9
Beginning from a depth of 35 feet below the surface, a whale swims
upward and jumps to a height of nearly 17 feet above the surface.
a. Model with Math Use an inequality to model the possible change in the number of feet, r, of the whale's elevation.
b. Solve the inequality. Explain the meaning in terms of the situation.
a. The inequality that models the possible change in the number of feet, r, of the whale's elevation is: 35 - r ≤ 17.
This inequality represents the starting depth of 35 feet below the surface (35), minus the possible change in elevation (r), which should be less than or equal to the maximum height the whale jumps, which is nearly 17 feet above the surface (17).
b. By solving the inequality 35 - r ≤ 17, we can find the range of possible values for r.
First, subtract 35 from both sides of the inequality: -r ≤ 17 - 35. Simplifying further, we have -r ≤ -18. Then, multiply both sides by -1, remembering to reverse the inequality direction: r ≥ 18.
The solution to the inequality is r ≥ 18, meaning that the possible change in the number of feet of the whale's elevation must be equal to or greater than 18. This implies that the whale's jump cannot be less than 18 feet above the surface.
Therefore, the whale's elevation can change by any value equal to or greater than 18 feet, allowing it to jump to a height of nearly 17 feet above the surface.
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a) The inequality can be written as 35 - r ≤ 17. b) The solution to the inequality is r ≥ 18, which means that the change in the number of feet, r, of the whale's elevation must be greater than or equal to 18.
a.
Since the whale swims upward and jumps to a height of nearly 17 feet above the surface, we can represent the change in elevation as r.
The inequality can be written as:
35 - r ≤ 17
Here, 35 represents the starting depth below the surface, and 17 represents the height above the surface that the whale reaches.
By subtracting r from the starting depth, we account for the possible decrease in elevation as the whale swims upward.
b. To solve the inequality, we can isolate r on one side of the equation:
35 - r ≤ 17
Adding r to both sides of the inequality:
35 - r + r ≤ 17 + r
35 ≤ 17 + r
Subtracting 17 from both sides:
35 - 17 ≤ 17 + r - 17
Simplifying further:
18 ≤ r
Therefore, the solution to the inequality is r ≥ 18.
In terms of the situation, the inequality r ≥ 18 means that the change in the number of feet, r, of the whale's elevation must be greater than or equal to 18.
This indicates that as the whale swims upward and jumps to a height of nearly 17 feet above the surface, the whale's elevation can increase by at least 18 feet from its starting depth of 35 feet below the surface.
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Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 69 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 73 miles per hour. (Assume the data set has a bell-shaped distribution)
This is the answer, I hope it will be help
The percent of vehicles whose speeds are between 65 miles/hour and 73 miles/hour will be 68 %.
It is given that mean speed of sample of vehicles (μ) is 69 miles/hour and standard deviation is 4 miles/hour.
We have to find out the percent of vehicles whose speeds are between 65 miles/hour and 73 miles/hour using the empirical rule.
What is the empirical rule if distribution lies within one standard deviation from the mean ?
The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean.
As per the question , we have ;
Mean speed of sample of vehicles (μ) = 69 miles/hour
Standard deviation = 4 miles/hour
To find the % of vehicles , let's check where the distribution lies ;
So ;
μ - 4 ;
= 69 - 4
= 65 miles / hour
μ + 4 ;
= 69 + 4
= 73 miles / hour
Since ; it lies between μ - 4 and μ + 4 , so by using the empirical rule we get that it lies within one standard deviation.
Hence ; by the empirical rule ;
% of vehicles between speed 65 miles/ hour and 73 miles/hour = 68 %
Thus , the percent of vehicles whose speeds are between 65 miles/ hour and 73 miles/hour will be 68 %.
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Emmanuel sold 16 dozen eggs last month. How many eggs did he sell in all?
Answer:
Emmanuel would have sold 192 eggs total
Step-by-step explanation:
one dozen is 12 eggs
16 dozen would be 12 x 16 = 192
Emmanuel would have sold 192 eggs total
Emmanuel sold 16 dozen eggs, and since one dozen equals 12 items, the total number of eggs sold is 192 eggs.
Explanation:The student asked how many eggs Emmanuel sold last month if he sold 16 dozen. To answer this question, we need to understand that one dozen represents 12 items. Therefore, if Emmanuel sold 16 dozens of eggs, we use multiplication to find the total.
First, identify the number of items in a dozen: 12 eggs.Next, multiply the number of dozens sold by the number of items in one dozen: 16 dozens x 12 eggs/dozen = 192 eggs.So, Emmanuel sold a total of 192 eggs last month.
Answering the additional example questions for clarification:
For g., the number is two and the unit is dozen eggs, because 'two' specifies the quantity of dozens, not individual eggs.For h., the unit is dozen eggs because that combines the measurement unit 'dozen' with what's being measured, in this case, eggs.For i., the blank should be filled with the conversion: 1 km = 1000 metersTo identify the number and unit in each quantity provided:
a. The number is one, and the unit is a dozen eggs.b. The number is 2.54, and the unit is centimeters.c. 'A box' is the number, and 'pencils' is the unit.d. The number is 88, and the unit is meters per second.How to write a point slope form of the equation of a line with a slope of -4 and passes through the point (1,6)?
Answer:
y-6=-4(x-1)
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-4(x-1)
A bag contains 15 navy and 26 violet marbles. A marble is drawn at random.
What is the theoretical probability of drawing a violet marble?
im really stuck :( can someone please help me ? it would mean a lot
Answer:
Step-by-step explanation:
Populations is who is surveyed or what the questions is targeting. More specifically who. That would be households with a car.
Use what I put as the definition for population to answer the other questions!
Find the coordinates of the reflected image.
A rectangle with vertices L(1, -1), M(1, -9). N(8.-9), and
(8.-1) is reflected over the y-axis.
1.)L'(-1.-1), M'(-1, -9), N'(-8.-9), and 0%(-8, -1)
2.)L (1.-1), M'(1.-9), N'(8.-9), and Oʻ(8.-1)
3.)L'(-1.–1). M?(-9,-1). N'(-9.–8). and O'(-1, -8)
4.)L'(-1. 1). M'(-1.9), N'(-8. 9), and O'(-8.1)
Answer:
The actual answer is A or 1 as you have it.
Step-by-step explanation:
All you have to do is just map out the coordinates yourself. You're looking for a reflection that goes across the Y axis, but NOT across the X axis.
Hope this helps you and anyone looking for an answer to their headache.
Final answer:
The reflected coordinates of the rectangle over the y-axis are L'(-1, -1), M'(-1, -9), N'(-8, -9), and O'(-8, -1), matching option 1.
Explanation:
The student is asking about finding the coordinates of a rectangle's vertices after it has been reflected over the y-axis. Reflecting a shape over the y-axis changes the sign of the x-coordinate of each vertex, while the y-coordinate remains the same. So, if we have a point (x, y), the reflected point over the y-axis would be (-x, y). Applying this to the rectangle's vertices we have:
For L(1, -1), the reflection L' would be (-1, -1).
For M(1, -9), the reflection M' would be (-1, -9).
For N(8, -9), the reflection N' would be (-8, -9).
For O(8, -1), the reflection O' would be (-8, -1).
Therefore, the correct reflected coordinates are L'(-1, -1), M'(-1, -9), N'(-8, -9), and O'(-8, -1), which corresponds to option 1.
1) In the diagram, l || m. If the measure of angle 3 is 120 find the measure of the following angles
a) angle 4
b) angle 6
c) angle 8
Answer:
a) 60° , b) 120° and c) 60°
Step-by-step explanation:
See the diagram attached to this question.
a) Here, ∠ 4 and ∠ 3 are supplementary angles.
So, ∠ 4 + ∠ 3 = 180° {Here, ∠ 3 is given to be 120°}
⇒ ∠ 4 = 180° - ∠ 3 = 180° - 120° = 60° (Answer)
b) Now, ∠ 3 and ∠ 6 are alternate angles and hence, ∠ 3 = ∠ 6 = 120° (Answer)
c) Here, ∠ 6 and ∠ 8 are supplementary angles.
So, ∠ 6 + ∠ 8 = 180°
⇒ ∠ 8 = 180° - ∠ 6 = 180° - 120° = 60° (Answer)
Perry Angelo is planning to open a restaurant. He has the resources to produce and sell either hamburgers or pizzas. So he does some research
and finds that the new location has a good demand for pizza. He hires cooks, wait staff, and an accounts person for his new pizzeria. He also
arranges for materials such as pizza ingredients and pizza boxes.
Determine three factors affecting Perry's cost of making pizza. Write down the name of the factors and their instances in this scenario in the table.
Answer:
Factors Affecting Cost Factors Affecting Cost
opportunity cost: the opportunity to produce and sell
hamburgers
cost of materials: cost of pizza ingredients and pizza boxes
sunk cost: money spent on researching the best option
fixed cost: money for paying employees
marginal cost:the cost of baking one more pizza
Step-by-step explanation:
Perry Angelo's cost of making pizza is affected by the cost of ingredients, labor costs, and capital costs like the pizza oven and shop rent. These costs, along with a desired profit margin, influence the selling price.
Explanation:The cost of producing pizza or any output involves various factors. In the scenario described for Perry Angelo's pizzeria, three significant factors affecting the cost of making pizza include:
Cost of Ingredients: This includes items like dough, sauce, cheese, and pepperoni, which are essential for making pizzas.Labor Costs: The wages paid to the cooks, wait staff, and the accounts person Perry Angelo hires.Capital Costs: Investments made in the pizza oven and other equipment necessary for the production of pizzas, as well as ongoing expenses like shop rent.These elements contribute to the total production cost, on top of which Perry will need to add his desired profit margin to determine the selling price for the pizzas.
Camacho is buying a monster truck. The price of the truck is xxx dollars, and he also has to pay a 13\%13%13, percent monster truck tax.
Which of the following expressions could represent how much Camacho pays in total for the truck?
Answer:
Camacho pays in total for the monster truck = $x + $0.13x = $1.13x
Step-by-step explanation:
i.) The price of truck is $x
ii.) Monstor truck tax = 13% of price of truck = [tex]\frac{13}{100}\times $x[/tex] = $0.13x
iii) Camacho pays in total for the monster truck = $x + $0.13x = $1.13x
Options A and D correctly represent how much Camacho pays in total for the truck:
A. (1 + 0.13)x
D. 1.13x
The total amount Camacho pays for the monster truck includes the price of the truck plus the tax, which is 13% of the price of the truck. Therefore, the total amount can be represented by the expression:
[tex]\[ \text{Total amount} = \text{Price of the truck} + \text{Tax amount} \][/tex]
Given that the price of the truck is x dollars and the tax is 13\% of the price, we can represent the tax amount as 0.13x .
So, the total amount Camacho pays is:
[tex]\[ \text{Total amount} = x + 0.13x \][/tex]
[tex]\[ \text{Total amount} = 1.13x \][/tex]
Therefore, options A and D correctly represent how much Camacho pays in total for the truck:
A. (1 + 0.13)x
D. 1.13x
The complete Question is given below:
Camacho is buying a monster truck. The price of the truck is x dollars, and he also has to pay a 13% monster truck tax. Which of the following expressions could represent how much Camacho pays in total for the truck? Choose 2 answers:
A. (1+0.13)x
B. 13x/100
C. 13x
D. 1.13x
E .13x+x
what times 10 equals 0.3
To find out what number times 10 equals 0.3, you divide 0.3 by 10. The answer is 0.03.
Explanation:The question you're asking is essentially what number, when multiplied by 10, equals 0.3. This is a basic division problem in mathematics, because when you want to find out what number multiplied by another number gives a certain result, you divide the result by one of the numbers.
In this case, you would divide 0.3 by 10. So, the solution to this problem is: 0.3 / 10 = 0.03.
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The number that times 10 equals 0.3 is 0.03. This exercise relates to understanding decimal places and exponents, where for instance, 10⁻³ represents 0.001 and signifies that the decimal point is shifted three places to the left.
To find what number times 10 equals 0.3, we need to solve the following equation:
x × 10 = 0.3
To find x, we divide both sides of the equation by 10:
x = 0.3 / 10
x = 0.03
Therefore, 0.03 times 10 equals 0.3.
In the problem 4x + 10 list a constant.
Answer:
10
Step-by-step explanation:
Constant term consists of natural no.s or numerals
So here the constant is 10
Answer:
In the problem 4x + 10 , 10 is the constant
Step-by-step explanation:
In the problem 4x + 10 , 10 is the constant
As we know
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
Examples:
In "x + 5 = 9", 5 and 9 are constants.
similarly
In x+ a= b , a and b are constants
so from definition of constant in algebra it is clear that
in
The problem 4x + 10 , 10 is the constant
the answer for this question someone answer fast pleaseeee
Answer:
???
Step-by-step explanation:
you don't have a question to answer
Graph: y-3=1/2(x+2)
Where would i graph this please help me just tell me the points dont go over the top with explanation
The plotted line on the graph represents all the points (x, y) that satisfy the equation [tex]\( y - 3 = \frac{1}{2}(x + 2) \)[/tex].
The graph of the equation [tex]\( y - 3 = \frac{1}{2}(x + 2) \)[/tex] has been plotted. Here are the steps to plot this graph:
1. Rearrange the equation: Convert the given equation into slope-intercept form, [tex]\( y = mx + c \)[/tex], which makes it easier to graph.
The given equation is [tex]\( y - 3 = \frac{1}{2}(x + 2) \)[/tex]. By rearranging, you get [tex]\( y = \frac{1}{2}x + 1 + 3 \)[/tex] which simplifies to [tex]\( y = \frac{1}{2}x + 4 \)[/tex].2. Calculate the y-intercept: This is the point where the line crosses the y-axis, which occurs when [tex]\( x = 0 \)[/tex]. Substituting [tex]\( x = 0 \)[/tex] into the equation gives [tex]\( y = 4 \)[/tex]. So, the y-intercept is (0, 4).
3. Calculate the slope: The slope is [tex]\( \frac{1}{2} \)[/tex] which means that for every 2 units the graph moves horizontally to the right, it moves 1 unit up.
4. Plot the y-intercept: Start at the y-intercept (0, 4) on the graph.
5. Use the slope to find another point: From the y-intercept, move right 2 units and up 1 unit to find another point on the line. You could also move left 2 units and down 1 unit for another point.
6. Draw the line: Connect the points with a straight line to complete the graph.
count backwards by hundreds from 1,000.
Answer:
1,000 900 800 700 600 500 400 300 200 100
Step-by-step explanation:
-3 x [75/(9 - 4)^2]^2 simplify
Answer:
[tex]-27x[/tex]
Step-by-step explanation:
Given Equation:
[tex]-3 x [75/(9 - 4)^2]^2[/tex]
On simplifying the equation:
[tex]=-3 x [75/(9 - 4)^2]^2\\=-3 x [75/(5)^2]^2\\=-3 x [75/25]^2\\=-3 x [3]^2\\=-3x*9\\=-27x[/tex]
The value of 'x' can be find by equating the simplified value to some certain value according to the equation.
On Friday a local hamburger shop sold a combined total of 304 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answer:
76 hamburgers
Step-by-step explanation:
3x + x = 304
4x = 304
A company is expanding its building area from 11,000 square feet to 14,740 square feet. What is the percentage increase of the area
of the building space?
A. 66%
B. 37.4%
C. 3.4%
D. 34%
Option D
The percentage increase of the area of the building space is 34 %
Solution:
A company is expanding its building area from 11,000 square feet to 14,740 square feet
To find: Percentage Increase
The percent increase is given by formula:
[tex]\text{Percent increase } = \frac{\text{Final value - Initial value}}{\text{Initial value}} \times 100[/tex]
From given,
Initial value = 11000
Final value = 14740
Substituting we get,
[tex]Percent\ Increase = \frac{14740-11000}{11000} \times 100\\\\Percent\ Increase = \frac{3740}{110}\\\\Percent\ Increase = 34[/tex]
Thus percentage increase of the area of the building space is 34 %
Write a numerical expression representing the following statement:
"four times the sum of sixty-seven plus forty"
Answer:
47 + 40 x 4
Step-by-step explanation:
sum is adding 2 numbers together and you would then multiply 4 after adding :)
Help with two Math problems.
1: A bag of dog food weighs 20lb. 15% of the weight is oats.
a) Set up an equation OR proportion to find the weight of the oats in the dog food.
b) What is the weight of the oats in the dog food? Show your work.
2: Some students were asked what kind of animals they have at home. The results are in the image:
(a) List the animals in order of popularity from most popular to least popular.
(b) I estimated that 250 students were interviewed. Based on my estimate, how many students have an "other" pet? Show your work.
Answer:
1. a. o = 3b
b. o = 3 pounds
2. a. Most popular animals:
A. Dogs - 67%
B. Cats - 20%
C. Other - 8%
D. None - 4%
E. Horses - 1%
b. 20 students
Step-by-step explanation:
1. a. The equation is:
o = 0.15 *20b
o = 3b
where, o = weight of oats in pounds and b = number of dog food bags
b. Let's find out the weight of the oats in one dog food bag, using our equation:
o = 0.15 *20b
o = 0.15 *20 * 1
o = 3 pounds
2. a. Most popular animals:
A. Dogs - 67%
B. Cats - 20%
C. Other - 8%
D. None - 4%
E. Horses - 1%
b. If 250 students were interviewed, the 8% who answered "other" are:
8% of 250 = 0.08 * 250 = 20 students
[Question Image Attached] If you are given the graph of g (x) = log 2 x, how could you graph f (x) = log 2 x + 5?
Answer:
Translate each point of g(x) 5 units up.
Step-by-step explanation:
The given the graph of the parent function
[tex]g(x) = log_{2}(x) [/tex]
We want to use this graph to draw the graph of
[tex]f(x) = log_{2}(x) + 5[/tex]
We can observe that:
[tex]f(x) = g(x) + 5[/tex]
This means the graph of the parent function, g(x) must be shifted up 5 units.
Therefore the correct answer is A.
Use the drop-down menus to complete the statement about the inequality m ≥ 2.
Answer:
The inequality m ≥ 2 has infinity many solutions because 2 and any number to the right of 2 on the number line can be substituted for m to make this inequality true.
Charlotte uses a 50% off coupon when she buys a dress the original price of the dress is $45 how much money does Charlotte save by using the coupon
Answer: $22.50
Step-by-step explanation:
Since the price is 50% off, you need to find half of 45. 45/2 is 22.5, so she saves $22.50
Leah has The flowers shown she wants to put them in 4 vases with the same number in each case how many flowers does she need to put in each case
The number of flowers she need to put in each case is [tex]\frac{x}{4}[/tex]
What is flowers she need to put in each case?The area of mathematics known as algebra is responsible for helping to express circumstances or problems as mathematical expressions. Divide the total number of flowers by the total number of vases to find the solution. We can still demonstrate how to solve the problem even if we do not have all the quantities.
x = total number of flowers.
There are 4 vases.
Therefore, the number of flowers in each vase will be [tex]\frac{x}{4}[/tex]
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what are the two values of x that are roots of this equation x^2+3x-6=0
Answer:
x = - 3 - √33 / 2
x = + 3 + √33 /2
or
x=1.37228132...
x=−4.37228132...
Step-by-step explanation:
The two values of x that are roots of the equation x^2+3x-6=0 are approximately x ≈ -4.16 and x ≈ 1.16.
Explanation:To find the two values of x that are roots of the equation x^2+3x-6=0, we can use the quadratic formula. The formula is:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 3, and c = -6. Plugging in these values, we get:
x = (-3 ± √(3^2 - 4(1)(-6))) / 2(1)
Simplifying further:
x = (-3 ± √(9 + 24)) / 2
x = (-3 ± √33) / 2
So the two values of x that are roots of the equation are approximately x ≈ -4.16 and x ≈ 1.16.
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Solve the equation: x/2-18=(-28)
Answer:
x = -20
Step-by-step explanation:
First we can rearrange the equation:
[tex]\frac{x}{2}[/tex] -18 = -28
2 * [tex]\frac{x}{2}[/tex] - 18 = -28 * 2
The 2s canel out
x - 36 = - 56
x = -20