The percentage of U.S. college freshmen claiming no religious affiliation has risen in recent decades. The bar graph shows the
percentage of first-year college students claiming no religious affiliation for four selected years from 1980 through 2012
a. Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation. Round the
percentage to the nearest tenth.
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,
Answer:
0.5%/year
24.2%
Step-by-step explanation:
Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation
Percentage of females by year:
1980 = 6.2%
1990 = 10.8%
2000 = 13.6%
2012 = 21.7%
Average yearly increase :
Percentage increase between 1980 - 2012 :
2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years
15.5 % / 32 years = 0.484375% / year = 0.5%/year
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,
Given an average increase of 0.484375% / year
(2030 - 1980) = 50 years
Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.
=24.2% (nearest tenth)
In this exercise we have to use the percentage knowledge to calculate an estimate per year, in this way we find that;
A) \(0.5\%/year\)
B) \(24.2\%\)
Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation. Percentage of females by year:
\(1980 = 6.2\%\\1990 = 10.8\%\\2000 = 13.6\%\\2012 = 21.7\%\)
A) Average yearly increase can be caculeted by:
\(2012\% - 1980\% = ( 21.7\% - 6.2\%) = 15.5\% = 32 years \\15.5 \% / 32 years = 0.484375\% / year = 0.5\%/year\\\)
B) Estimate the portion of first-old age institution of higher education woman the one will claim no religious association with an organization fashionable 2030, Given an average increase of:
\((2030 - 1980) = 50 years\\ ( 50 years * 0.484375\%/year) = 24.2\%\)
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PLEASE HELP!
60 points!
Answer:
80*
Step-by-step explanation:
Answer: I found the answer!!!
Step-by-step explanation: enter this in bitly - 2SoXiJd
Which graph represents the solution set for the inequality y≥x+1?
Answer:
Give us a graph
Step-by-step explanation:
Bshsjsjfkfnsbxbcu
Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Your coordinates would be:
(1,8) (1,5) (5,8)
Hope this helps!
Answer:
Actually its (1,8) (1,5) (6,8)
Step-by-step explanation:
The red part is incorrect, the orange is the correct one. I got it wrong.
The perimeter of the rectangle below is 100 units. Find the length of side VW ?
Answer:
27 units
Step-by-step explanation:
Answer:
VW = 27 units
Step-by-step explanation:
the opposite sides of a rectangle are equal , then
perimeter = 2(3x - 3) + 2(2x + 3)
= 6x - 6 + 4x + 6
= 10x
given perimeter = 100 , then
10x = 100 ( divide both sides by 10 )
x = 10
Then
VW = 3x - 3 = 3(10) - 3 = 30 - 3 = 27 units
please I need help with this question
Answer:
$5.40
Step-by-step explanation:
First, find Dave's purchase. To do this, you multiply 15 by the tax percent and add that to the original.
So:
15 x 8% = 15 x 0.08 = 1.2
15 + 1.2 = 16.2
Next, do the same for Mel's purchase:
20 x 8% = 20 x 0.08 = 1.6
20 + 1.6 = 21.6
Then, you subtract Dave's purchase from Mel's:
21.6 - 16.2 = 5.4
This comes out to $5.40
Miguel deposited a certain amount of money in the bank. The bank paid him interest after one year at which point he had $757.12. After the next year he had $787.40. How much money did Miguel originally put into the bank? (Answer to the nearest dollar.)
The interest accumulated in the account after the first and second year indicates;
The amount Miguel originally put into the bank is about $728
What is interest accumulated on an amount?An interest is a reward or cost of borrowing or lending money.
Let P represent the amount Miguel deposited in the bank, and let r represent the interest rate in percentage, therefore, we get;
The amount in the account after the first year is; P + r·p = P·(1 + r)
P·(1 + r) = $757.12...(1)
The amount in the account after the second year can be obtained using the following formula;
Principal at the start of the second year = P·(1 + r)
Therefore; Amount = P·(1 + r) + P·(1 + r) × r = P·(1 + r) × (1 + r) = P·(1 + r)²
P·(1 + r)² = $787.40...(2)
Equation (1) indicates that we get; (1 + r) = 757.12/P
Therefore; P·(1 + r)² = P·(757.12/P)² = 787.40
757.12²/P = 787.40
P = 757.12²/787.40 ≈ 728
The amount Miguel deposited in the bank is about $728
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what is the square root of 4/25
Answer:
square roots of 25 =5
Step-by-step explanation:
5×5= 25
Fátima is saving up to buy a 300 bike she saves $25 eatch week from her babysitting money. Whitch linear equation represents the amount Fatima still has to save after x weeks
Answer:
B
Step-by-step explanation:
B is right because she is earning money, so the slope would have to be positive.
Next, the y-intercept of the 300 needs to be negative because she does not have the money to start with. It is also negative because you can think of it that you are subtracting the final babysitting money with 300.
Answer:
y = 25x - 300
Step-by-step explanation:
She has to save up 25 PER week and once she has enough, you subtract 300 since that's the cost of the bike
Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?
Step-by-step explanation:
so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.
the slope in
y = 2x + 2
is the factor of x : 2 or 2/1
the perpendicular slope is turning this upside down and flips the sign : -1/2
the point- slope form is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 9 = -1/2(x - -2)
y - 9 = (-1/2)x - 1
y = (-1/2)x + 8
PLEASE HELP IM SO LOST
1. Ted is working on his financial plan and lists all of his income and expenses in the spreadsheet below.
А
B
Net Pay
$5,000
2
Interest on Deposits $0
3 Income from Investments $225
4 Rent
$3,000
5 Utilities
$250
6 Satellite Dish
$175
7 Cell Phone Plan
$135
8 Car Payment
$385
9 Groceries
$200
10 Insurance
$380
11 Recreation
$400
What is Ted's net cash flow?
2. Tamara earns $8 an hour at her job working 25 hours per week. If her net pay is 78% of her paycheck
and she has no other sources of income, what is Tamara's monthly cash inflow? (Assume there are 4
pays per month.)
Answer: 1) $300 2) $624
Step-by-step explanation:
\(\begin{array}{l||l|l}\underline{\quad \text{Item}\qquad \qquad \qquad \qquad}&\underline{\text{Income} }&\underline{\text{Expense}}\\\text{Net Pay}&5000&\\\text{Interest on Deposits}&0&\\\text{Income from Investments}&225&\\\text{Rent}&&3000\\\text{Utilities}&&250\\\text{Satellite Dish}&&175\\\text{Cell Phone Plan}&&135\\\text{Car Payment}&&385\\\text{Groceries}&&200\\\text{Insurance}&&380\\\underline{\text{Recreation}\qquad \qquad \qquad}&\underline{\qquad \quad }&\underline{400\qquad}\\\end{array}\)
TOTALS 5225 4925
Net Cash Flow = Income - Expenses
= 5225 - 4925
= 300
*************************************************************************************
\(\dfrac{25\ hours}{week}\times \dfrac{\$8}{hour}\times 4\ weeks\times 78\%\\\\\\=25\times \$8 \times 0.78\\\\= \$624\)
If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what is sin(A)?
The value of sin A is, 7/25.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The terminal side of angle A goes through the point (−24/25,7/25) on the unit circle.
Now, By definition we get;
⇒ cos A = - 24/25
⇒ Sin A = 7/25
Thus, The value of sin A is, 7/25.
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Decide which of the two given prices is the better deal and explain why
You can buy shampoo in a 5-ounce bottle for $2.99 or in a 15-ounce bottle for $9.19
Answer:
5 ounces for $2.99 is 0.598 per ounce
15 ounces for $9.19 per 0.613
The 5 ounce bottle is a better deal
Step-by-step explanation:
Which is the slope of a line perpendicular to a line with slope -6/5
Answer:
m = 5/6
Step-by-step explanation:
a line perpendicular to another line is its negative reciprocal
this basically means the flipped negative version of it
the flipped version of -6/5 is -5/6
then you add a negative to it
-(-5/6)
that is basically just 5/6
that is your slope
4x-5 2x+7 Find the value of x
answers should be from
27
37
47
57
x+y =783
10x+7y=6459
9514 1404 393
Answer:
(x, y) = (326, 457)
Step-by-step explanation:
Use the first equation to make an expression for y that can be substituted into the second.
y = 783 -x
10x +7(783 -x) = 6459
3x = 978 . . . . . . . . . . . . subtract 7(783) = 5481
x = 326 . . . . . . . . . . . . . divide by 3
y = 783 -326 = 457
The solution is (x, y) = (326, 457).
Division 191 divided by 3
To divide 191 by 3.
\(undefined\)The Thornberries are buying a $700,000 home. They have been approved for a 2.51% APR, 25-year mortgage. They made a 25% down payment and will be closing January 25th. There are 31 days in January.
a. what is their interest on the loan for one year?
b. what is the daily interest?
c. how much should they expect to pay in prepaid interest at the closing?
Answer:a. 17,570 b. 48.14
Step-by-step explanation:
What fraction is less than 5/8
Answer:
1/2 is 1 example
Step-by-step explanation:
what
A fraction that is less than 5/8 is 4/8
How to determine the fraction?The fraction is given as:
Fraction = 5/8
A fraction less than 5/8 will have the same denominator but a smaller numerator compared to 5/8
Take for instance, the numerator can be
1 to 4
So, we have;
Smaller fraction = 4/8
Hence, a fraction that is less than 5/8 is 4/8
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Please help me with this question
The values of tht missing part of the triangle are;
A= 20.9°
a = 13.06
c = 33.6
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
To find side c
sinB/b = sinC/c
sin45.9/26.30 = sin113.2/c
csin 45.9 = 26.30 × sin113.2
0.718c = 23.90
c = 23.90/0.718
c = 33.6
Angle A = 180-(113.2+ 45.9)
angle A = 20.9°
sinA/a = sinB/b
sin20.9/a = 0.718/26.30
0.357 × 26.30 = 0.718a
a = 9.389/0.718
a = 13.06
Therefore A = 20.9°
a = 13.06
c = 33.6
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What is the range of the function shown on the graph
Answer:
-2<=y<=-7
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?
Given: a || b
Find the missing angle measures in the diagram. Explain how you find each angle measure. (please explain how you got the answer)
The angle measure explained in the solution.
Given that, a || b, we need to find the missing angles,
∠1 = 42° [vertically opposite angles]
∠3 = 62° [vertically opposite angles]
∠2 = 180°-(∠1+62°) [angle in a straight line]
∠2 = 76°
∠4 = ∠2 [vertically opposite angle]
∠4 = 76°
∠4 = ∠9 = 76° [alternate angles]
∠9 = ∠12 = 76° [vertically opposite angle]
∠3 = ∠ 6 = 62° [alternate angles]
∠ 6 = ∠7 = 62° [vertically opposite angle]
∠3 + ∠5 = 180° [consecutive angles]
∠5 = 118°
∠5 = ∠8 = 118° [vertically opposite angle]
∠4 + ∠10 = 180° [consecutive angles]
∠10 = 104°
∠10 = ∠11 [vertically opposite angle]
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It takes 4 1/2 cups of cherries to make a cherry pie. Russell wants to make 4 cherry pies. How many cups of cherries will Russell need?
Answer:
18 cups.
Step-by-step explanation:
Multiply 4.5 by 4.
Rationalize the denominator.
Hello and Good Morning/Afternoon!
Let's take this problem step-by-step:
What the problem asks for:
⇒ to rationalize the denominator
⇒ rationalize means that you multiply the numerator and
demonimator by the denominator
Let's put that into action:
\(\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }\)<== Answer
Hopefully that helps!
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!
Is 1/8- 10 (3/4-3/8x) +5/8x equivalent to -1/8(59 - 35x)? EXPLAIN and show your work.
Step-by-step explanation:
i think u had done something wrong in equation
someone help me with this plz
Answer:
Yes
Step-by-step explanation:
QM is parallel to NR so we can say
angle MQP = angle NRP and
angle QMP = angle PNR
(Alternate angles)
Question also shows that Line QM = Line NR
So the two triangles PMQ and PNR are congruent by Angle Side Angle (ASA)
how do the slopes of AB and the perpendicular line through point C compare? what conclusion can you draw about the relationship between the slopes of perpendicular lines?
To analyze the relationship between the slopes of two lines, specifically the slope of line AB and the slope of the perpendicular line through point C, we need to consider the properties of perpendicular lines.
If line AB and the perpendicular line intersect at point C, then the slopes of these two lines are related by the concept that the product of their slopes is equal to -1. In other words, the slopes of perpendicular lines are negative reciprocals of each other.
Let's denote the slope of line AB as m_AB and the slope of the perpendicular line through point C as m_perpendicular. If the slopes are related by the property of perpendicular lines, we have the equation:
\(m_AB * m_perpendicular = -1\)
This relationship holds true for any pair of perpendicular lines.
For example, if the slope of line AB is 2/3, then the slope of the perpendicular line through point C would be -3/2. The product of these slopes (-3/2 * 2/3) is indeed equal to -1, confirming the perpendicularity of the lines.
This property of perpendicular lines and their slopes arises from the geometric interpretation of slopes. The slope of a line represents the ratio of vertical change (rise) to horizontal change (run).
When two lines are perpendicular, one has a positive slope while the other has a negative slope, and their ratios of rise to run are reciprocals of each other. This reciprocal relationship ensures that the product of their slopes is -1.
In conclusion, the relationship between the slopes of perpendicular lines is that they are negative reciprocals of each other. This property provides a convenient way to determine the slope of a perpendicular line given the slope of another line, facilitating calculations and geometric analysis involving perpendicularity.
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Let A be an n x n real matrix with the property that A^T = A. Show that if Ax = λx for some nonzero vector in C^n. then in fact, λ is real and the real part of x is an eigenvector of A if it is nonzero.
"Let x be any vector in \(C^n\), let q = \(x^T\)Ax, and let A be an n-by-n real matrix with the characteristic that \(A^T\) = A. By confirming that q = q, the equalities below demonstrate that q is a real number.
Let A be n x n real matrix with the property that. \(A^T = A\).
if Ax = λx.
(Ax) = λx
\(xA^T=\) λx
xA = λx( and therefore dλ are real, A =\(A^{T}\) = and dλ = λ).
x(A-λL) = 0
Therefore, A-λL is a real matrix.
Assume that A is a n by n matrix with a characteristic polynomial defined by det(λI−A). The number of times an eigenvalue of A appears as a root of that distinctive polynomial is known as its multiplicity.
and x (λI-A) = 0
Therefore, x(λL-A) is also real.
X1 is real.
Therefore, since is one of A's eigenvalues, there exists a nonzero vector X\(C^n\) such that AX=X
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Find sin 0
16
20
A.
В.
C.
D.
13
Answer:
dont know im sorry
Step-by-step explanation: