we can use hmmm any value per se for the card, hmmm say let's use $2, if the baseball card was initially 2 bucks, and after 10 years it went up in value by 50%, well 50% of 2 is 1, so the new value is 3 bucks, then
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &3\\ P=\textit{initial amount}\dotfill &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &10\\ \end{cases} \\\\\\ 3=2(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(\frac{100+r}{100})^{10} \\\\\\ \sqrt[10]{\cfrac{3}{2}}=\cfrac{100+r}{100}\implies 100\sqrt[10]{\cfrac{3}{2}}=100+r \\\\\\ 100\sqrt[10]{\cfrac{3}{2}}-100=r\implies 4\approx r[/tex]
Use the information provided to answer Part A and Part B for question 11.
Three congruent figures are shown in the coordinate plane.
8
-7
-5
9-3-7 65
A
N
-4
-5
-6
-7
-8
3
11. Part A
Which statement describes a possible sequence of transformations that
transforms figure 1 into figure 2?
A. a reflection across the x-axis, followed by a translation 2 units to the left
B. a reflection across the x-axis, followed by a translation 3 units to the right
C. a rotation 180° clockwise about the origin, followed by a translation
2 units to the left
D. a rotation 180° clockwise about the origin, followed by a translation
3 units to the right
The correct statement about the congruent figures is,
⇒ a reflection across the x-axis, followed by a translation 3 units to the right.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
Three congruent figures are shown in the coordinate plane.
Now, From figure A and figure B,
Figure B is reflection across the x-axis, followed by a translation 3 units to the right across the figure A.
Thus, The correct statement about the congruent figures is,
⇒ a reflection across the x-axis, followed by a translation 3 units to the right.
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The two triangles are similar.
What is the value of x?
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides are in same proportion.
[tex]\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}[/tex]
Cross multiply,
4x*12 = 15*(3x + 1)
48x = 15*3x + 15*1
48x = 45x + 15
48x -45x = 15
3x = 15
x = 15/3
x = 5
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5) = 50 2w(w 5) = 50 w(2w 5) = 50 w(w 5) = 50
The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.
Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).
Then the area of the rectangle is given as
Area = l × w
Then we have
w(2w + 5) = 50
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The rate of change is ____.
-4
-1
1
4
Answer:
-4
Step-by-step explanation:
Rate of Changes:
[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Pick two values of x and y from the given table:
I pick (1,5) and (-1,13).I define (1,5) be (x2,y2) and (-1,13) be (x1,y1)Therefore:
[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{5-13}{1-(-1)}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{1+1}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{2}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=-4}[/tex]
Therefore, rate of change is -4
Without buying points, a monthly mortgage payment will be $1,250. buying 1 point at closing would reduce the payment to $1,236. to the nearest year, how long would it take to break even by buying 1 point, with a $100,000 mortgage? a. 5 years b. 6 years c. 7 years d. 8 years
Without buying points, the time that will be taken to break even will be 6 years.
How to calculate break-even?The monthly mortgage payment will be $1,250. Buying 1 point at closing would reduce the payment to $1,236.
1 point= $1000
The time taken will be:
Monthly savings = 4250/1236 = 14
Time taken = 7
1000/14 = 71.4 months
71.4/12=5.95 years = ~6 years
Thus, The time that will be taken to break even will be 6 years.
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Answer: 6
Step-by-step explanation:
Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000. Your home suffers $500,000 in damages. How much will you pay? How much will your insurance pay?
He will pay $200,000.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000.
And, Your home suffers $500,000 in damages.
Now,
Since, Homeowners policy has a premium of $150, So we can pay the amount = 12 x 150
= $1,800
And, Homeowners policy has a deductible of $5000.
Then, The remain amount = $500,000 - $5,000
= $495,000
Since, The limit of the policy = $300,000
Hence, The remain amount = $495,000 - $300,000
= $195,000
After including the deductible amount we get;
Deductible amount = $195,000 + $5,000
= $200,000
Thus, He will pay $200,000.
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Here is a prism drawn on an isometric grid how many vertices
Answer:
C-12
Step-by-step explanation:
The definition of a Vertex of a 3D shape is 'Where 3 lines meet to form an angle' which in this case would be 12.
Answer:
it's c12 first do the edge face vertical nameing polygon and then you can get your answers
please teach me how to do this
Answer:
7.2
Step-by-step explanation:
We know that the radius is always the same throughout the entire circle. That is, any line going from the center of the circle to the edges = radius. In this problem, radius = 20.9 and so does the other 4 lines going from the center of the circle to the edge.
Since there is a right angle, we know that both triangles are right triangles where hypotenuse, c = 20.9 and b = 19.6. To solve for x, use pythagorean theorem:
a² + b² = c²
x² + 19.6² = 20.9²
x² + 384.16 = 436.81
x = √(436.81 - 384.16)
x = √52.65
x ≈ 7.256
Hope this helps!
Nancy found that x=1 is one solution to the quadratic equation (x 2)2=a. what is the value of a? -9 -3 3 9
The value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.
What is the solution of equation?The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.
Nancy found that x=1 is one solution to the quadratic equation. The quadratic equation is,
[tex](x +2)^2=a[/tex]
For this equation, one solution is x=1. Put this value in the above equation to get the value of a,
[tex](1 +2)^2=a\\(3)^2=a\\9=a\\a=9[/tex]
Thus, the value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.
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Answer:
D. 9
Step-by-step explanation:
I will give 5 star on YOUR acc and comment will also give you a thank
Solve with picture PLEASE show all work
Answer:
40 in.^2
Step-by-step explanation:
Let's name the 2 shaded triangles: The left one is T1 and the right one is T2.
The area of a right triangle can be found using the equation (a*b)/2.
The 2 legs of T1 are 8 in. and 6 in. (from 10 - 4)
Area of T1 = [tex]\frac{8 * 6}{2}[/tex] = 24 in.^2
The 2 legs of T2 are 8 in. and 4 in.
Area of T2 = [tex]\frac{8 * 4}{2}[/tex] = 16 in.^2
Area of shaded region = 16 + 24 = 40 in.^2
The surface area of a rectangular-prism-shaped skyscraper is 1,115,000 m2. What is the surface area of a similar model that has a scale factor of 1/800? Round your answer to the nearest tenth.
The surface area of a similar rectangular-prism-shaped skyscraper that has a scale factor of 1/800 would be equal to 1.7 meter.
The surface area of a rectangular prism.Mathematically, the surface area of a rectangular-prism is given by this formula:
A = 2(wl + hl + hw)
Where:
A is the surface area.l is the length.w is the width.h is the height.Given the following data:
Surface area of rectangular prism = 1,115,000 m²
Scale factor = 1/800
The length, height and width of the similar model would be 1/800 the original rectangular-prism-shaped skyscraper.
Substituting the given parameters into the formula, we have;
Surface area = 1,115,000 × 1/800 × 1/800
Surface area = 1.7 meter.
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How many hours will it take them to mow their lawn?
Answer:
C. 2
Step-by-step explanation:
h/6 + h/3 = 1
h/6 + 2h/6 = 1
3h/6 = 1
3h = 6
h = 2
the variable x represents a value in the set {4,6,7,8}. which value of x makes 2(x-4)+3=7
Answer:
The value of x is 6
Step-by-step explanation:
Solving for x :
=> 2(x-4)+3=7
=> 2x-8+3 = 7
=> 2x-5 = 7
=> 2x = 7+5
=> 2x = 12
=> x = 12/2
=> x = 6
What is gain 3 pounds as a integer
Answer:
it would be +3
Step-by-step explanation:
This is he answer because +3 is equal to p+3 if pounds=p
Does (3, 10) make the inequality y<2x + 4 true?
Answer:
no,
Step-by-step explanation:
because 3, and 10 are not even when multiplied in the equasion.
Answer:
That statement is true, if you set y to 3 and x to 10 in this problem.
[tex]y(3+1) = 4\\2 * x(10 + 4) = 24[/tex]
Write the polynomial in standard form.
( look at photo )
Answer:
[tex]b^{2} -2b+5[/tex]
Step-by-step explanation:
what should ne The power of 5 so that ies value becomes 1÷25
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
Primd factorize 25
25 = 5*5 = 5²
[tex]\sf \dfrac{1}{25}=\dfrac{1}{5^{2}} \\\\= 5^{-2}[/tex]
HINT:
[tex]\dfrac{1}{a^{m}}=a^{-m}[/tex]
Which equation illustrates the identity property of multiplication? (a bi) × c = (ac bci) (a bi) × 0 = 0 (a bi) × (c di) = (c di) × (a bi) (a bi) × 1 = (a bi)
The equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The identity property of multiplication states that when a factor is multiplied by 1 the result is the factor itself. Therefore, the equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).
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Answer:
D
Step-by-step explanation:
duh
PLEASE HELP 20 POINTS
Please help first correct answer gets brainleist and 100 points please I'll answer your questions
Answer:
a) AE and BC are parallel (as shown by the markings)
b) ED and CD are equal in length (as shown by the markings)
c) 3: AE is perpendicular AB, AB is perpendicular to AE/AC, AC is perpendicular to AB
x-3 and 2x-1 are factors of 2x^3-px^2-2qx+q. Find the values of p and q.
Answer:
p =1
q = 9
Step-by-step explanation:
f(x) = 2x³ - px² + 2qx + q
(x - 3) is a factor of f(x)
⇒f(3) = 0
2(3)³ - p*3² - 2q*3 +q = 0
2*27 - 9p - 6q + q = 0
54 - 9p - 5q = 0
-9p - 5q = -54 -------------------(I)
(2x - 1) is a factor of f(x)
2x - 1 = 0
2x = 1
[tex]\st x = \dfrac{1}{2}[/tex]
f(1/2) = 0
[tex]2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\[/tex]
1 - p = 0
-p = -1
p = 1
Substitute p =1 in equation (I)
-9*1 - 5q = -54
-9 - 5q = -54
-5q = -54 + 9
-5q = -45
q = -45/(-5)
q = 9
Factor out and show the step by step explanation of the answer for x^2+24x+5
Answer:
x =(24-√596)/2=12-√ 149 = -0.207
x =(24+√596)/2=12+√ 149 = 24.207
Step-by-step explanation:
Factoring x2-24x-5
The first term is, x2 its coefficient is 1 .
The middle term is, -24x its coefficient is -24 .
The last term, "the constant", is -5
Multiply the coefficient of the first term by the constant 1 • -5 = -5
Find two factors of -5 whose sum equals the coefficient of the middle term, which is -24 .
-5 + 1 = -4
-1 + 5 = 4
Two solutions were found :
x =(24-√596)/2=12-√ 149 = -0.207
x =(24+√596)/2=12+√ 149 = 24.207
how do I find the volume of an upright rectangle?
Answer:
v=l×h×w
Step-by-step explanation:
that the furmula
what is the distance between (4,7) and (-3,9)
Answer:
7 to the left, and up 2.
Step-by-step explanation:
What are prime numbers used for?
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.
Jackie went to the movie theater where he bought drinks and popcorn bags for his group of friends. Each drink was $4 and a bag of popcorn was $6. He spent a total of $108. He bought a total of 22 items combined. Write a system of equations that could be used to determine the number of drinks and popcorn bags that Jackie bought at the movie theatre. Define the variables used.
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars. When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.
What is the area of parallelogram ABCD?
Will mark brainlyest!!!
In ΔABC, AB=24.9, AC=15.8, and BC=24.4. What is m∠A?
Answer:
approximately 71.50215
Step-by-step explanation:
need help with this question
Answer:
f'(0)= -2/5
Step-by-step explanation: