To determine the house's value over time, a function can be created using the initial value and an annual growth rate. Specific details about the growth rate are needed for an accurate function, but a generic formula with a constant rate can still be provided.
Explanation:Creating a Function for House Value Over Time
To write a function that determines the value of a house in thousands of dollars based on the number of years since purchase, we would need additional information about how the house's value appreciates or depreciates over time. This could involve a fixed annual appreciation rate, market trends, renovations, or depreciation.
Without specific data, a generic function can still be proposed, assuming a constant annual percentage increase. Let's call the annual growth rate 'r' (in decimal form) and the original value of the house 'V'. The function would then be:
f(t) = V × (1 + r)^t
For example, if Kyle bought the house at a value of $100,000 (or 100 in thousands of dollars) and the annual growth rate is 3% (or 0.03), the function defining the future value of the house would be:
f(t) = 100 × (1 + 0.03)^t
Using this formula, we can calculate the future value of Kyle's house after any number of years 't'.
Solve this equation.
5x-2y=3
y=2x
Answer:
3
Step-by-step explanation:
5x-2y=3 when: y=2x
1. Plug in the y-value (y=2x) into the equation (5x-2y=3). The equation should then look like 5x-2(2x)=3
2. Simplify:
5x-2(2x)=3
5x-4x=3
1x=3
x=3
Check:
5x-2(2x)=3 (plug in the x-value you solved for: 3)
5(3)-2×2(3)=3
15-2×6=3
15-12=3
3=3
Hope this helped !
Cheers, Z
what is the solution to the inequality below x2>25
Answer:
Ans: (-5, 5)
-5 < x < 5
Step-by-step explanation:
Standard form: f(x) = x^2 - 25 < 0.
First solve x^2 - 25 = 0 --> x = +- 5
Use the algebraic method to solve f(x) < 0. Between the 2 real roots (-5) and (5), f(x) < 0, as opposite in sign to a = 1.
Answer by open interval: (-5, 5)
First off, write the inequality as 2x>25
Divide both sides by 2 to get x>12.5
Hope this helped
What kind of solution is x(5-2)=4x-x
Answer:
All Real Answers / Infinite Solutions
Step-by-step explanation:
Distribute: 5x-2x = 4x-x
Simplify: 3x=3x
Subtract 3x from each side: 0=0
Please Do not answer with anything irrelevant to this subject,Thank you.
In a right triangle, side a is 3 times as long as side b, and side c is 30 cm. Using the Pythagorean Theorem, what are the lengths of sides a and b? Round your answers to the nearest tenth.
Answer:
a = 9√10
b=3√10
Step-by-step explanation:
see attached for reference for any right triangle
in our case
c is the hypotenuse
hence
c² = a² + b²
we are given that c = 30
also that a is 3 times as long as b or,
a = 3b
substituting these into the pytharogrean formula.
c² = a² + b²
30² = (3b)² + b²
900 = 9b²+b²
10b² = 900
b² = 90
b = √90 = √9 √10 = 3√10
earlier we found that a = 3b,
hence
a = 3(3√10)
a = 9√10
a rectangular prism has a volume of 10 cubic units. If the length width and height of the prism are all each made 3 times as long what is the new volume?
Answer:
270 units³
Step-by-step explanation:
l×w×h = 10
lwh = 10
New Volume = (3l)×(3w)×(3h)
= 27×lwh
= 27×10
= 270 units³
Alternately,
Since the sides are increased in the same ratio,
The two prisms are similar figures
For similar figures,
volume1/volume2 = (side1/side2)³
New Volume/10 = (3/1)³ = 27
New Volume = 270 units³
Final answer:
The new volume of a rectangular prism, whose dimensions are tripled, is calculated by cubing the factor of increase (3) and multiplying it by the original volume. The new volume will be 270 cubic units.
Explanation:
If the original volume of a rectangular prism is 10 cubic units and the length, width, and height are all made three times as long, the new volume can be calculated using the principle that volume is proportional to the cube of the linear dimensions of the prism. This is often represented as V imes L³ where V is volume and L is the linear dimension.
To find the new volume, you would multiply each dimension by 3 so the new length (L'), width (W'), and height (H') would be three times the original dimensions. The new volume would then be calculated as:
V' = L' times W' times H' = (3L) times (3W) times (3H)
Since the original volume (V = L imes W imes H) is given as 10 cubic units, and you've multiplied each dimension by 3, you would cube the factor of increase (3³ = 27) and multiply it by the original volume:
V' = 27 imes V = 27 imes 10 = 270 cubic units
Therefore, the new volume of the rectangular prism would be 270 cubic units.
mrs. anderson ordered 56 pizzas for a fundraiser. 2.7 of them were meatball. 19 pizzas were cheese and the rest were pepperoni. what fraction of the poizzas were pepperoni
Answer:
I'm assuming you meant 27 and not 2.7 sooo... 5/28 were pepperoni
Step-by-step explanation:
Look at the following number sequence.
6, 9, 12, 15, .
Based on the pattern, what are the next two terms?
16, 19
21, 24
18, 21
18, 135
Answer:
18, 21
Step-by-step explanation:
There is a difference of 3 between any two consecutive term ( succeeding - preceding)
Hence 15 + 3 = 18
& 18 + 3 = 21 are the required terms.
Answer: C.) 18, 21
Step-by-step explanation:
U and V are mutually exclusive events. P(U) = 0.27; P(V) = 0.56. Find:
P(U and V) =
b. P(U|V) =
c. P(U or V) =
Answer:
(a) P (U and V) = 0.
(b) P (U|V) = 0.
(c) P (U or V) = 0.83.
Step-by-step explanation:
Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,
[tex]P (A\cap B) = 0[/tex]
Given:
Events U and V are mutually exclusive.
P (U) = 0.27 and P (V) = 0.56
(a)
As events U and V are mutually exclusive, the probability of their intersection will be 0.
That is,
[tex]P(U\ and\ V) = P (U\cap V) = 0[/tex]
Thus, the value of P (U and V) is 0.
(b)
The conditional probability of event B given A is:
[tex]P(B|A) =\frac{P(A\cap B)}{P(B)}[/tex]
Compute the value of P (U|V) as follows:
[tex]P(U|V) =\frac{P(U\cap V)}{P(V)}\\=\frac{0}{0.56}\\ =0[/tex]
Thus, the value of P (U|V) is 0.
(c)
The probability of the union of two events, say A and B, is
[tex]P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
Compute the value of P (U or V) as follows:
[tex]P(U\ or\ V)=P(U\cup V)\\=P(U)+P(V)-P(U\cap V)\\=0.27+0.56-0\\=0.83[/tex]
Thus, the value of P (U or V) is 0.83.
The events U and V are mutually exclusive. So, the value of P(U and V) is 0, the value of P(U|V) is 0, and the value of P(U or V) is 0.83 and this can be determined by using the given data.
Given :
P(U) = 0.27P(V) = 0.56U and V are mutually exclusive events.A) P(U and V)
P(U and V) = P(U [tex]\cap[/tex] V) = 0
Because U and V are mutually exclusive events.
B) P(U|V)
[tex]\rm P(U|V) = \dfrac{P(U\cap V)}{P(V)}[/tex]
[tex]\rm P(U|V) = \dfrac{0}{0.56}[/tex]
P(U|V) = 0
C) P(U or V)
[tex]\rm P(U \;or\;V) = P(U\cup V)[/tex]
[tex]\rm P(U \;or\;V) = P(U)+P(V)-P(U\cap V)[/tex]
P(U or V) = 0.27 + 0.56 - 0
P(U or V) = 0.83
The events U and V are mutually exclusive. So, the value of P(U and V) is 0, the value of P(U|V) is 0, and the value of P(U or V) is 0.83 and this can be determined by using the given data.
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If the volume of the prism is 294 cubic inches, what is the area of the base
Answer:49
Step-by-step explanation:
294/6
=49
Answer:
See Explanation Below
Step-by-step explanation:
Question is incomplete.
(The height of the prism is missing and no attachment is provide)
However, I'll solve on a general rule.
Given
Volume of prism, V = 294in³
The volume of a prism is calculated multiplying the base area by the height of the prism.
Let's represent the base area by B and the height by H.
Mathematically,
V = B * H.
Make B the subject of formula
B = V/H
Substitute 294 for V.
The expression becomes
B = 294/H
Now, let's assume the height is 6 inches.
The expression for base area becomes
B = 294/6
B = 49 in²
Mr. Falcone pizza shop offers three sizes of pizza. The small medium and large pizzas have diameters of 8 inches 10 inches 12 inches
Step-by-step explanation:
Given,
The diameter of small pizza = 8 inches,
The diameter of medium pizza = 10 inches and
The diameter of large pizza (d) = 11 inches
To find, the circumference of each size of pizza = ?
We know that,
The circumference of the circle = [tex]2\pi r= \pi d[/tex]
∴ The circumference of small size of pizza = 3.14 × 8 = 25.12 inches
The circumference of medium size of pizza = 3.14 × 10 = 31.4 inches
Also,
The circumference of large size of pizza = 3.14 × 12 = 37.68 inches
Thus, the circumference of small size, medium size and large size of pizzas are 25.12 inches, 31.4 inches and 37.68 inches.
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Helppppp me pleaseeeeee
Answer:
x-1=0 x=1
x+1=0 x= -1
x+5=0 x= -5
Step-by-step explanation:
Solve the following system of
equations:
y=47+ 3x
y=8+0.5x
The system of equations is solved by setting the two equations equal to each other and solving for x followed by solving for y using the obtained x value. The solution is x = -15.6 and y = 0.2.
Explanation:The student is asking to solve a system of two linear equations:
y = 47 + 3xy = 8 + 0.5xTo find the solution, we need to set the two equations equal to each other since they both equal y:
47 + 3x = 8 + 0.5x
Now, let's solve for x:
Subtract 0.5x from both sides: 47 + 2.5x = 8Subtract 47 from both sides: 2.5x = -39Divide both sides by 2.5: x = -39 / 2.5Calculate x: x = -15.6Now that we have x, we can solve for y using either of the original equations:
y = 8 + 0.5(-15.6)
Calculate y:
y = 8 - 7.8
y = 0.2
Therefore, the solution to the system of equations is x = -15.6 and y = 0.2.
Factor a number, variable, or expression out of the trinomial shown below:
4x2 - 16x + 8
Answer:
4×(x² - 4x + 2)
Step-by-step explanation:
4x2 - 16x + 8 = 4×x² - 4×4×x + 4×2 = 4×(x² - 4×x + 2)
Mrs. Keen bought a new snow blower at Lowe's. It regularly is sold
for $565.00, but there was a sale that said it was 35% off. How much
did Mrs. Keen pay for her new snow blower? SHOW WORK!
Answer:
367.25 dollars
Step-by-step explanation:
To calculate 35 percent of 565 you would first
Find 30 percent to do this find 10% (÷10) and then times your answer by 3. (565÷10=56.5 times by 3 is 169.5)Then you would have to find 5 percent do this by halfing 10% of the number. (We know 10% equals to 56.5 half off that is 28.25)Add the numbers together (5% + 30%)(169.5 + 28.25 =197.75)35% is 197.75 the question says 35% off so you would have to take the 35% off the 565
(565-197.75 = 367.25)
How do you answer -80=5m
Answer:-16
Step-by-step explanation:
You want to isolate the variables (in this case it's m)
-80=5m
divide both sides by 5
-16=m
Hi, please help and explain! :)
What is the area of a regular hexagon with a side length of 5in and an apothem of 4.33in?
Answer:
[tex]A=64.95\ in^2[/tex]
Step-by-step explanation:
we know that
A regular hexagon can be divided into six equilateral triangles
so
The area of a regular hexagon is the same that the area of six congruent equilateral triangles
The area of one equilateral triangle in the regular hexagon is equal to
[tex]A=\frac{1}{2}(b)(h)[/tex]
where
b is the base of triangle (the length of the regular hexagon)
h is the height of triangle (the apothem of the regular hexagon)
so
[tex]b=5\ in\\h=4.33\ in[/tex]
substitute
[tex]A=\frac{1}{2}(5)(4.33)=10.825\ in^2[/tex]
Multiply the area of one triangle by 6 to obtain the area of the regular hexagon
[tex]A=10.825(6)=64.95\ in^2[/tex]
Which measures of center and variability can be used to most accurately compare the two data sets? mean and MAD mean and IQR median and MAD median and IQR
Answer:
Median and IQR
Step-by-step explanation:
If we are to accurately compare two data sets, the best measure of central tendency is median and best measure of variability is the MAD.
The reason is that:
1. Median is not affected by outlier or extreme value. Due to this, if we use the mean, it can be misleading if there is any case of outlier(s) in the data sets.
2. The interquartile range (IQR) is the middle half of the data. It uses the concept of median to operate - think about the median value that splits the dataset in half. Similarly, you can divide the data into quarters. This also is not affected by outlier(s) or extreme value(s).
NB: When we say middle half or middle number, we assumed you have sorted the data sets either in ascending order or descending order. This will put the data sets in order of their sizes. E.g., 1 < 2 < 3, etc.
Answer:
Median and IQR
Step-by-step explanation:
Solve
-12 = 2x + 2
Solve
x/-2 +7 = 1
Solve
x/1.7 - 2.7 = 3.5
Solve
-2x + 4 = 20
Answer:
-7
12
10.54
-8
Step-by-step explanation:
Calculate the surface area of the triangular prism without the bases.
672 cm^2
400 cm^2
480 cm^2
192 cm ^2
Answer:
The Answer Is C
Step-by-step explanation:
I took the test
HELP ASAP PLZ
How many sides does a polygon have if the sum of its interior angles is 9000 degrees?
Answer:
52 sides
Step-by-step explanation:
The only way I know how to do this is to create one fraction which is a combination of 2 steps used when 1 of the interior angles is known.
Formula
360/(180 - 9000/s ) = s
Multiply denominator and numerator on the left by s.
360 * s
======= = s
s* (180 - 9000/s)
Remove the brackets on the denominator
360s
================ =s
180s - 9000
Cancel the numerators s's.
360 / (180s - 9000) = 1
Multiply both sides by 180s - 9000
360 =180s - 9000
Add 9000 to both sides
360 + 9000 = 180s
9360 = 180s
Divide by 180
9360/180 = 180/180 s
s = 52
Complete the equation of the line through (-9,7) and (-6, -3).
Use exact numbers.
y=
Answer:
y = -10/3x -23
Step-by-step explanation:
The 2-point form of the equation of a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
Using your points, we have ...
y = (-3 -7)/(-6 -(-9))(x -(-9)) +7
y = (-10/3)(x +9) +7
y = -10/3x -23 . . . . . . . simplify
The equation of the line passing through the points (-9,7) and (-6, -3) is y = -10/3x -14.
Explanation:In mathematics, the equation of a line can be given as y = mx + c, where m is the slope of the line and c is the y-intercept. Firstly, we need to calculate the slope (m) which is (y2 - y1) / (x2 - x1). If we substitute the points (-9,7) and (-6, -3) we get (-3 - 7) / (-6 + 9) = -10 / 3, so m = -10/3. Next, to get the y-intercept (c) we can substitute the slope and one of the points into the equation: 7 = -(10/3)*(-9) + c, and we get c = -14. Therefore the equation of the line is y = -10/3x -14.
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what is 5 times 345 plus 34
Answer:
1759
Step-by-step explanation:
multiply, then add
Answer:
1759
Step-by-step explanation:
5*354=1725
1725+34=1759
will mark brainlist pls help !! :)
Answer:
B
Step-by-step explanation:
I just had the same paper last night
What is the result when the number 28 is decreased by 75%
Answer:
-75 ercent
Step-by-step explanation:
What is the volume of a bathtub
that is 6 feet long, 2 feet wide,
and 1 foot deep?
Answer:
96 cubic feet
Step-by-step explanation:
7. If 40% of a given number is 8, then what is 15% of the
given number?
A. 1.2
B. 1.8
C. 3.0
D. 5.0
E. 6.5
Answer:
it is C
Step-by-step explanation:
40% of 20 is 8
so 15% of 20 is 3
What is 29r2 divided by 17
Final answer:
The division of 29r2 by 17 simplifies down to approximately 1.7059r^2, where r is a variable representing a real number.
Explanation:
The student is asking about a division of algebraic expressions, specifically 29r^2 divided by 17. The notation 29r^2 suggests that we have the variable r squared, multiplied by 29, and we need to divide this entire expression by 17. This is a straightforward division operation where each term in the numerator is divided by the denominator.
To find the solution, you divide 29 by 17 and keep r^2 (r squared) as part of the expression. Therefore, the simplified form of 29r^2 divided by 17 would be approximately 1.7059r^2, assuming that r represents a real number.
A lender requires a minimum down payment of 18% of the value of the home. You have $22,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
The maximum amount that can be financed is $156,250.
The maximum home value
Minimum down payment required by the lender = 16% of the value of home
Available cash in hand = $25,000
Now,
the maximum amount of down payment that can be paid = $25,000
let the maximum amount that can be financed is 'x'
also,
16% of x = $25,000
or
0.16 × x = $25,000
or
x = [tex]\frac{\$ 25,000}{0.16}[/tex]
or
x = $156,250.
Hence, the maximum amount that can be financed is $156,250.
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The length of a rectangle is 6 inches more than its width, and its perimeter is 45 inches. Explain how to set up the equations and solve for the length and width of the rectangle.
Thank you so much please help asap!!
Answer:
The length of rectangle is 14.25 inches and the width of rectangle is 8.25 inches
Step-by-step explanation:
we know that
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
[tex]P=45\ in[/tex]
so
[tex]45=2(L+W)[/tex]
simplify
[tex]22.5=L+W[/tex] -----> equation A
The length of a rectangle is 6 inches more than its width
so
[tex]L=W+6[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation a
[tex]22.5=(W+6)+W[/tex]
solve for W
[tex]22.5=2W+6\\2W=22.5-6\\2W=16.5\\W=8.25\ in[/tex]
Find the value of L
[tex]L=W+6[/tex]
substitute the value of W
[tex]L=8.25+6=14.25\ in[/tex]
therefore
The length of rectangle is 14.25 inches and the width of rectangle is 8.25 inches
How do you convert fraction to percent
Answer: dividing
Step-by-step explanation:
Final answer:
To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, multiply the decimal by 100, and then add the percent symbol (%).
Explanation:
To convert a fraction to a percent, you start by converting the fraction into a decimal. To do this, divide the numerator (the top number) by the denominator (the bottom number). Once you have the decimal, you multiply it by 100 to get the percent value. Finally, append the percent symbol (%) to the number.
Example:
For the fraction 3/4, first convert it to decimal:
Divide 3 by 4 to get 0.75.Multiply 0.75 by 100, which equals 75.So, 3/4 as a percent is 75%.Another way to convert fractions to percent is by finding an equivalent fraction that has 100 as its denominator. Then, simply use the numerator as the percent. If the fraction's denominator is not easily scalable to 100, it is easier to use the decimal method described previously.