What happened to the glass blower who inhaled
The graph of y=f(x) is given above. For what value of x is y=f(x-4) undefined?
what is the numerical sum of angle DEA (X+25) and angle AEB (9x+10) ?
The length of the side of a square is 8 radical 12 in. What is the area of the square?
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The function graphed is f(x). What is f(2)?
when x is on 2
y is on -3
answer is y=-3
What is the value of X? Make sure to show all of your work!
what is the greatest possible whole number remainder if you divide any number by 41?
According to one web page on the resale value of cars, a BMW that cost $71,000 in 2003 depreciates in value about 15% a year. How much was it worth in 2013?
71,000 *(1-0.15)^10 =
71,000*0.85^10 =
$13,978.08
we apply the exponential decay formula leading to an estimated worth of approximately $13,978.37 in 2013.
To calculate the value of a BMW that cost $71,000 in 2003 and depreciates at a rate of about 15% per year for 10 years, we will use the formula for exponential decay, which is:
V = [tex]P(1 - r)^t[/tex]
Where:
V is the final value after depreciation
P is the principal amount ($71,000)
r is the rate of depreciation (15%, or 0.15)
t is the time in years (2013 - 2003 = 10 years)
So, our calculation will be:
V = $71,000 *[tex](1 - 0.15)^{10}[/tex]
V = $71,000 * [tex](0.85)^{10}[/tex]
V = $71,000 * 0.19687
V ≈ $13,978.37
Therefore, the BMW would be worth approximately $13,978.37 in 2013.
Identify the function that has a vertex of (2,-1) and is stretched vertically by a factor of 3.
f(x) = ⅓|x - 2| - 1
f(x) = |x - 2| + 4
f(x) = ⅓|x + 2| - 1
f(x) = 3|x - 2| - 1
Answer:
[tex]f(x)=3|x-2|-1[/tex]
Step-by-step explanation:
Identify the function that has a vertex of (2,-1) and is stretched vertically by a factor of 3.
The option are absolute function, So the parent function is y=|x|
Vertex form of absolute function is
[tex]y=|x-h|+ k[/tex] where (h,k) is the vertex
vertex of (2,-1) h=2, k =-1
the function becomes
[tex]f(x)=|x-2|-1[/tex]
function is stretched vertically by a factor of 3
when f(x) is vertically stretched by a factor of 'a'.We multiply the factor with f(x)
[tex]f(x)=3|x-2|-1[/tex]
Devon Price is a clerk typist. His annual salary is 18,720. What is his biweekly salary?
Answer:
Biweekly salary is $ 720.
Step-by-step explanation:
Given,
Annual salary = 18,720,
Number of weeks in a year = 52,
Thus, the number of bi weeks in a year = [tex]\frac{52}{2}[/tex] = 26,
Hence, the biweekly salary = [tex]\frac{\text{annual salary}}{\text{Number of bi weeks in a year }}[/tex]
[tex]=\frac{18720}{26}=\$ 720[/tex]
Jennifer figures that she uses 2 pens per month. she started the year with 10 pens. how do i write the equation that represents the number of pens, y, she will have after x months
Write an equation in point-slope form of the line having the given slope that contains the given point. y= 3 4 ,(5 1 3 ,2 7 8 )
This figure is a rectangle Select the three statements that describe all rectangles.
If the measure of cae is 95° what is the measure of cba
Answer:
The measure of the arc CBA is equal to 190°
Step-by-step explanation:
95 x 2 = 190
The cube of a positive number divided by the square of the same positive number
The cube of a positive number divided by its square simplifies to the number itself, based on the exponent subtraction rule in algebra.
Explanation:The question involves a mathematical concept where the cube of a positive number is divided by the square of the same number. Mathematically, if we denote the positive number as 'x', then the expression would be x3/x2. According to the laws of exponents, when we divide two powers with the same base, we subtract the exponents. Thus, x3/x2 = x3-2 = x. This implies that the cube of 'x' divided by the square of 'x' simplifies to just 'x'. This is a fundamental mathematical operation under the topic of exponentiation and simplification of algebraic expressions.
In the xy-plane, if the parabola wiry equation y=ax^2+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?
Mazie Invested $4500 in an account earning 4.3% interest compounded continuously. After how many years will she have $7400 in her account
The question is about continuous compound interest in finance. Given initial investment, final amount, and interest rate, we utilize the formula for continuous compound interest to calculate how many years it will take for the investment to reach a certain value.
Explanation:The subject in this question is interest compounding in mathematics, specifically in the field of finance. Compounding continuously involves the application of the formula for continuous compound interest, which is A = P*e^(rt), where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).e is the base of the natural logarithm, approximately equal to 2.71828.r is the annual interest rate (in decimal).t is the time the money is invested or borrowed for, in years.In Mazie's case, we have P=$4500, A=$7400, and r=4.3% or 0.043 in decimal form. We're solving for t, the time. Therefore, by substitution, we have 7400=4500*e^(0.043t). Solving for 't' will provide us the number of years it takes for the account to grow to $7400.
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tim earns $150 a week plus $15.50 for each desk he assembles. write an inequality to represent how many desks he needs to assemble to make $400 in one week.
x = number of desks needed to make
equation: 150 +15.50x >= 400
solution:
150 +15.50x >=400
15.50x = 250
x = 250/15.50 = 16.129
he needs to assemble 17 desks
15.50*17 = 263.50 +150 = $413.50
suppose you roll a red number cube and a blue number cube. what is the probability that you will roll a 5 on the red cube and a 1 or a 2 on the blue cube?
The probability that you will roll a 5 on the red cube and a 1 or a 2 on the blue cube will be 1/18.
What is mean by Probability?
The term probability refers to the likelihood of an event occurring.
Given that;
You will roll a 5 on the red cube and a 1 or a 2 on the blue cube.
Now,
Sides of cube dice = 6
Hence, For red cube;
P (r) = 1/6
And, For blue red;
P (B₁ or B₂) = P(B₁) + P (B₂)
= 1/6 + 1/6
= 1/3
Thus, The probability that you will roll a 5 on the red cube and a 1 or a 2 on the blue cube = 1/6 x 1/3
= 1/18
Therefore, The probability that you will roll a 5 on the red cube and a 1 or a 2 on the blue cube will be 1/18.
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Megan is checking her tax bill for the last year.
The tax rates were as follows;
-no tax on the first £11 000 of earnings
Final answer:
Marginal tax rate refers to the tax rate applied to each additional dollar of income. Individuals pay according to the bracket their income falls into, with higher rates applying only to income that exceeds certain thresholds. An example includes a single taxpayer earning $35,000 a year being in the 15% marginal tax rate bracket.
Explanation:
The student's question relates to understanding marginal tax rates and how they apply to an individual's income. Marginal tax rate is the tax rate incurred on each additional dollar of income, meaning as you earn more, you generally pay a higher tax rate on your incremental earnings beyond certain thresholds. However, it's important to note that lower tax rates apply to lower income brackets, meaning individuals pay progressively more only on the income that falls within higher brackets.
For instance, consider the marginal tax rate structure where the first $9,075 of income is taxed at 10%, the income from $9,075 to $36,900 at 15%, and income beyond $36,900 at 25%. If a single taxpayer earns $35,000 a year, their marginal tax rate is 15% because their last dollar earned falls into the 15% tax bracket. However, not all their income is taxed at 15%; the income up to $9,075 is taxed at 10%, and only the income over $9,075 up to $35,000 is taxed at 15%.
Draw the image of ∆PQR after a rotation of 180° about the origin. Label the image ∆P'Q'R'.
Draw the image of ∆PQR after a reflection across the x-axis. Label the image ∆P"Q"R".
To obtain the image of triangle ∆PQR after a 180° rotation about the origin, we applied the rotation formula to each vertex, resulting in the new coordinates P'(-1, 1), Q'(-3, 2), and R'(-3, 4). Connecting these points forms the rotated triangle ∆P'Q'R'.
To draw the image of triangle ∆PQR after a 180° rotation about the origin, we'll need to find the new coordinates of the vertices P', Q', and R'. The general formula for rotating a point (x, y) by 180° about the origin is to negate both the x and y coordinates, resulting in the point (-x, -y). Let's apply this formula to each vertex:
Vertex P(1, -1) is rotated to P'(-1, 1).
Vertex Q(3, -2) is rotated to Q'(-3, 2).
Vertex R(3, -4) is rotated to R'(-3, 4).
Now, we have the new coordinates for the vertices of the rotated triangle ∆P'Q'R'. Let's plot these points on a coordinate plane:
P'(-1, 1)
|
|
| Q'(-3, 2)
| /
|/
R'(-3, 4)
The triangle ∆P'Q'R' is formed by connecting these three points, and it is the image of ∆PQR after a 180° rotation about the origin.
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in order to have reflection symmetry must a polygon have at least two sides that are the same length ?
The sum of two numbers is 47 and the difference is 1 . what are the numbers?
Which is bigger 4 kilometers or 4400 meters?
operations absolute value
|4 - 9| =
|4| -9 =
Find the plane containing the points S, X, and V. Which statement is true?
Point Y is noncoplanar with points S, X, and V.
Point U is coplanar with points S, X, and V.
Point Z is coplanar with points S, X, and V.
Point C is coplanar with points S, X, and V.
1.8 as a fraction????
Can you create a rule relating library fines for new books to the number of days the book is kept? Write your rule in symbolic form, using F for the fine and d for number of days the book is kept.
total of the fine = C
you would need to multiply the amount of the fine by the number of days
so the equation would be C=Fd
Given triangle XP’s is congruent to triangle dnf, find the values of x and y.
x = 3
y = 15
Let's establish the proportion below to find the value of x and y
XP / DN = XS / DF = PS / NF
Since only 2 sides of XPS is given, then
4y - 3 = 5717x + 3 = 54Therefore,
4y = 60
y = 60 / 4
y = 15
17x = 57
x = 57 / 17
x = 3
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180=2x+y which equation is used to find x
The value of x would be equal to (180-y)/2
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
To solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given the equation as- 180=2x+y
Now solving;
180=2x+y
180=2x+y
180-y=2x
(180-y)/2=x
x = (180-y)/2
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