Answer:
He will be able to deduct his medical expenses by $1225.
Step-by-step explanation:
If his medical expenses are over 7.5% of his AGI he can reduce it to 7.5%.
His AGI was $89,000. How much is 7.5% of that?
0.075*89000 = $6675.
His expenses are over 7.5%, so yes, he can reduce.
He can reduce from $7900 to $6675, so 7900 - 6675 = $1225
Derivative of y = cos(x-1)/(x-1)
Answer:
[tex]\displaystyle y' = \frac{- \cos (x - 1)}{(x - 1)^2} - \frac{\sin (x - 1)}{x - 1}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{\cos (x - 1)}{x - 1}[/tex]
Step 2: Differentiate
Derivative Rule [Quotient Rule]: [tex]\displaystyle y' = \frac{\Big( \cos (x - 1) \Big)'(x - 1) - \cos (x - 1)(x - 1)'}{(x - 1)^2}[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{- \sin (x - 1)(x - 1)'(x - 1) - \cos (x - 1)(x - 1)'}{(x - 1)^2}[/tex]Basic Power Rule [Derivative Properties]: [tex]\displaystyle y' = \frac{- \sin (x - 1)(x - 1) - \cos (x - 1)}{(x - 1)^2}[/tex]Simplify: [tex]\displaystyle y' = \frac{- \cos (x - 1)}{(x - 1)^2} - \frac{\sin (x - 1)}{x - 1}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
What is 7 divided by 28
7 divided by 28 is 1/4 or 0.25.
To calculate 7 divided by 28.
What is simplification?
Simplification is defined as solving mathematical problems using arithmetic operators.
7 divided by 28 = 7/28
= 1/4
= 0.25
Thus, 7 divided by 28 is 1/4 or 0.25.
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If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the most education? a. accountant b. paralegal c. photographer d. surveyor
Answer:
Option a. accountant.
Step-by-step explanation:
We have been given the positive correlation graph between salary and education
Positive correlation means a linear relationship between two that means if education increases salary increases.
We need to tell which among the given options requires most education the one which will have highest salary.
That means the Accountant among the given option requires most education.
Because he has highest salary among given four options.
A circle with a central that measures 1° has a radius of 10 inches. Find the length of the intercepted .
Can the leaves of an ordered rooted tree have the universal address 1.1, 1.2.1, 1.2.2, 1.2.3, 2.1, 2.2.1, 2.3.1, 2.3.2, 2.4.2.1, 2.4.2.2, 3.1, 3.2.1, 3.2.2? if so, identify such an ordered rooted tree.
Suppose that you invest $5873 in an account that earns interest at an APR of 4.4%, compounded monthly. Determine the accumulated balance after 7 years.
Suppose you are a small business owner. How would a market demand schedule or a market demand curve be useful?
George exercises 15 minutes a day, every day of the year. How many minutes a year does George exercise? Write and solve an equation to find the answer.
If P is the midpoint of XY,XP=8x-2 and PY=12x-30 find the value X
Using the midpoint concept, it is found that x = 7.
----------------------
The midpoint divides a segment into two segments of equal length.P is the midpoint of XY, thus XP = PY.----------------------
[tex]XP = 8x - 2[/tex]
[tex]PY = 12x - 30[/tex]
Since they are equal, we use it to find x.
[tex]XP = PY[/tex]
[tex]8x - 2 = 12x - 30[/tex]
[tex]4x = 28[/tex]
[tex]x = \frac{28}{4} = 7[/tex]
The value of x is 7.
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plz help me so confused
What is the value of the expression 54.36 divided by 0.1
a picnic start at 12:10 pm .kevin arrives at 1:40 pm the picnic continues until 3 pm.how much time elapsed betwwen the picinic and keven arrivals
Final answer:
To determine the time elapsed between the start of the picnic and Kevin's arrival, subtract the start time (12:10 pm) from Kevin's arrival time (1:40 pm), which results in 1 hour and 30 minutes.
Explanation:
To find out the amount of time that elapsed between the start of the picnic and Kevin's arrival, we subtract the start time of the picnic from the time Kevin arrived. The picnic started at 12:10 pm and Kevin arrived at 1:40 pm.
Step-by-step calculation:
Convert the times into a 24-hour format to avoid any confusion.12:10 pm is 12:10 in 24-hour format.in which number does the 6 have a value that is one tenth the value of the 6 in 34, 761
The 6 in 600 has a value one tenth the value of the 6 in 34, 761.
Explanation:The question asks in which number does the 6 have a value that is one tenth the value of the 6 in 34, 761.
To find the answer, we need to compare the place value of the 6 in both numbers. In 34, 761, the 6 is in the thousands place, and its value is 6,000. To have a value that is one tenth of 6,000, the 6 would need to be in the hundreds place in the other number.
So, the number in which the 6 has a value one tenth the value of the 6 in 34, 761 would be 600.
Final answer:
The number 6 in 2,001.06 is one-tenth the value of the 6 in 34,761.
Explanation:
The number 6 in 34,761 has a value that is one-tenth the value of the 6 in the number 2,001.06.
To find this, we can compare the place values of the two 6's. The 6 in 34,761 is in the ones place, while the 6 in 2,001.06 is in the tenths place.
Since the tenths place is one place to the right of the ones place, the value of the 6 in 2,001.06 is one-tenth the value of the 6 in 34,761.
What is the simplified form of the left side of the following equation?
2x-4+5x=8
Select the correct answer below.
A.2x+1
B.3x-4
C.5x-2
D.7x-4
For each sequence, find a formula for the general term, a_n. for example, answer n ^2 if given the sequence: \lbrace 1, 4, 9, 16, 25, 36, . . . \rbrace
A school employs 30 teachers.how many will there be if there is a 10% reduction
If a school has 30 teachers and there is a 10% reduction, there will be 27 teachers remaining.
Explanation:If a school employs 30 teachers and there is a 10% reduction, we can calculate the number of teachers after the reduction by multiplying the initial number of teachers by (100% - 10%) = 90%. So, there will be 30 * 0.90 = 27 teachers after the reduction.
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Help Dana find the sum 346 421 152
For numbers 13a-13d, select yes or no to tell Dana when to regroup
Marcel is planning a vacation. The travel agent says the average high temperature at the resort is 20 degrees Celsius. What is the equivalent Fahrenheit temperature
The equivalent Fahrenheit temperature for 20 degrees Celsius is 68 degrees Fahrenheit.
Explanation:To convert Celsius to Fahrenheit, you can use the formula: F = (C × 9/5) + 32
Using this formula, we can calculate the equivalent Fahrenheit temperature for 20 degrees Celsius:
F = (20 × 9/5) + 32 = 68 degrees Fahrenheit
Marcus rented a movie for $4 and some video games for $6 each. He paid $22. How many games did he rent?Choose two answers: one for the equation that models this situation and one for the correct answer.
A.Equation: 6 + 4x = 22
B.Answer: 3 video games
C.Answer: 4 video games
D.Equation: 4 + 6x = 22
Answer:
4 + 6x = 22 and 3 video games
Step-by-step explanation:
ape-x
find f(-2) for f(x)=2×3^x
a.-18
b.1/18
c.-36
d.2/9
Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $32,000 and a standard deviation of $3000. if 100 teachers are randomly selected, find the probability that their mean salary is less than $32,500.
Answer: 0.9525
Step-by-step explanation:
Given : The salaries of elementary school teachers in the united states are normally distributed with a mean of [tex]\mu=\$32,000[/tex] and a standard deviation of [tex]\sigma=\$3000[/tex].
Sample size : n= 100
Let x be a random variable that denotes the salaries of elementary school teachers in the united states.
Formula : [tex]z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Then, the probability that their mean salary is less than $32,500 will be :-
[tex]P(x<32500)=P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{32500-32000}{\dfrac{3000}{\sqrt{81}}})\\\\=P(z<\dfrac{500}{\dfrac{3000}{10}})\approx P(z<1.67)=0.9525\ \ [\text{Using z-value}][/tex]
Hence, the probability that their mean salary is less than $32,500 = 0.9525
find all sets of three consecutive even integers whose sum is greater than 102 and less than 116
An airplane allows each passenger 36 kilograms of luggage. Carl has to lower the weight of his suitcase by 25% to stay within the limit. How much did the suitcase originally weight?
Consider a point on the trans-australian highway, where two old wombats live. arrivals of cars at this point follow a poisson distribution; the average rate of arrivals is 1 car per 12 seconds.
Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?
Answer:
27 trees in each row
Step-by-step explanation:
Abe is going to plant 54 oak trees and 27 pine trees
greatest number of trees Abe can have in each row =?
54 = 2 x 27
27 = 1 x 27
Now 27 is the common in both numbers and also is the greatest number
So, there are 2 rows of oak trees and 1 row of pine trees and all the rows have 27 number of trees.
negation of all owls fly?
Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he 21) has 20 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?
Let the short side be W
The half circumference of the semi-circle = .5 * pi *W
2Lengths + width + semicircle = 20 ft
2L + W + (.5*pi*W) = 20
2L + W + 1.57W = 20
Combine like terms
2L + 2.57W = 20
Simplify divide by 2
L + 1.285W = 10
L = (10 - 1.285W); for substitution:
Get the area equation:
Rectangle area + semicircle area
A = L * W + (.5*pi*(.5W) ^2)
A = LW + (1.57*.25W^2)
A = LW + .3925W^2
Replace L with (10-1.285W)
A = W(10-1.285W) + .3925W^2
A = -1.285W^2 + .3925W^2 + 10W
A = -.8925W^2 + 10W
Find W by finding the axis of symmetry of this equation a=-.8925, b=10
W = -10 / 2 * (-.8925)
W = -10 / -1.785
W = 5.60 is the width for max area
then we solve for the length
L = 10 - 1.285(5.60)
L = 10 – 7.20 = 2.8 ft is the length
Then, Check the perimeter
2(2.8) + 5.60 + 1.57(5.60) = 20ft
5.6 + 5.6 + 8.736 = 20ft
Rectangle: 2.8 by 5.60 has semicircle circumference 8.736 has a maximum area: (2.8*5.60)
+ (.5 * pi * 2.8 ^ 2)
=15.68 + 12.31
=28 sq/ft
A point P is 100m away from a vertical flag pole, which is 13m high. What is the angle of elevation to the top of the flagpole from P?
A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"
Let c represent the number of children.
Which expression represents the number of parents?
c−9
9−c
c⋅9
c + 9
Answer: c-9
Step-by-step explanation: i did the quiz
Which function has a vertex at the origin?
f(x) = (x + 4)^2
f(x) = x(x – 4)
f(x) = (x – 4)(x + 4)
f(x) = –x^2
Answer:
fdx = x-4 2
Step-by-step explanation:The test was right