Answer:8.300
Step-by-step explanation:
Answer:
8.36
the hundredth place is the second decimal place
Reba needs to simplify the expression below.
6 and one-half + 3.5 times 2 minus 7 divided by 3
Which operation should she perform first?
Answer:
6 1/2+3.5*2-7/3 this is the statement
first convert 6 1/2 to improper fraction =13/2
Step-by-step explanation:
13/2+3.5*2-7/3
then multiply 3.5 * = 7
13/2+7-7/3
=7+ 13/2-7/3
simplify 13/2-7/3 and it will give you 25/6
7+25/6 = 32/6 or can be written as 5 2/6 which when you divide the denominator will give 5 1/3
so that is ur final anser plz mark me brainliest
Answer: Multiplication
Step-by-step explanation: stay safe❤️
What is ten minus one
Answer:
9
Step-by-step explanation:
10 - 1 = 9
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
if we erase 10, we have 9. Try that when subtracting 1 - any number
What is the equation of the perpendicular line 2x-4y=7 passing through the points (2,-5/4)?
Answer:
[tex]y= 2x-5\frac{1}{4}[/tex]
Step-by-step explanation:
We are given;
The equation 2x + 4y = 7
A point (2, -5/4)
We are supposed to determine the equation of a line perpendicular to the given line;
First, we determine the slope of the given line by writing the equation in the form of y= mx + c
2x + 4y = 7
y = -1/2x + 7/4
m₁ = -1/2
But, for perpendicular; m₁×m₂= -1
Therefore;
-1/2 × m₂ = -1
m₂ = 2
Thus, we can get the equation of the line;
Taking another point (x, y)
[tex]\frac{y+\frac{5}{4} }{x-2}=2[/tex]
[tex]y+\frac{5}{4}= 2(x-2)[/tex]
[tex]y+\frac{5}{4}= 2x-4[/tex]
[tex]y= 2x-4-\frac{5}{4}[/tex]
[tex]y= 2x-5\frac{1}{4}[/tex]
Thus, the equation of the line in question is [tex]y= 2x-5\frac{1}{4}[/tex]
HELPPPPPP!!!
Consider the given equation that models a train’s distance from its departing station, where:
• y represents the distance in miles,
• x represents the speed of the train in miles per hour, and
• t represents the time traveled from the departing station in hours.
=t
Enter an equation for which the solution is the speed of the train, in miles per hour, where the train’s
distance from the departing station is 162 miles and it has traveled for 3 hours.
Answer:
[tex]x = 54\ mi/hr[/tex]
Step-by-step explanation:
Given:
The given equation is.
[tex]y=xt[/tex]
Where:
y represents the distance in miles,
x represents the speed of the train in miles per hour, and
t represents the time travelled from the departing station in hours.
y = 162 miles
t = 3 hours
Solution:
The given equation is.
[tex]y=xt[/tex]
Rewrite the given equation for x or speed.
[tex]x=\frac{y}{t}[/tex]
Substitute y and t value in above equation.
[tex]x=\frac{162}{3}[/tex]
[tex]x = 54\ mi/hr[/tex]
Therefore, the speed of the train is [tex]54\ mi/hr[/tex].
will mark brainliest please hurray The table below shows selected points from a function.
1 (the picture for this question is the chart ) The rate of change for the interval shown in the table is ( constant or not constant) so the function is a ( linear or non-linear)
2 (this goes with the chart that says hawk on it) Pick the correct equation for the line below: A y=x^2+90 B y = 3x +90 C y = 90x-10 D y = -10x + 90
3 ( the picture that goes with this one is the normal graph) Look at the graph shown: Which equation best represents the line? (4 points)
y = 1 over 3 x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1
Answer:
The answers are given below.
Step-by-step explanation:
1. The rate of change for the interval shown in the table is constant. So, the function is linear.
2.From the graph, the line passes through (0, 90) and the slope of the line is negative.So, the correct equation for the line is,
y = -10x + 90
3.According to the question and the graph, the equation is a straight line with y - intercept equal to -1.So, the equation which best represents the line is,
y = 3x - 1
In one U.S city, the taxi cost is $2 plus $0.60 per mile. If you are traveling from the airport, there is an additional charge of $5.50 for tolls. How far can you travel from the airport by taxi for $43.50?
Answer:
60 miles
Step-by-step explanation:
Let
x ----> the number of miles
we know that
The number of miles multiplied by $0.60 per mile plus $2 plus the charge of $5.50 for tolls (because you are travelling from the airport) must be equal to $43.50
so
The linear equation that represent this problem is
[tex]0.60x+2+5.50=43.50[/tex]
Solve for x
Combine like terms left side
[tex]0.60x+7.50=43.50[/tex]
subtract 7.50 both sides
[tex]0.60x=43.50-7.50[/tex]
[tex]0.60x=36[/tex]
divide by 0.60 both sides
[tex]x=60\ miles[/tex]
A popcorn container is the shape of an inverted cone. It is 9 inches tall, and the circular opening has a diameter of 4 inches. Which equation can be used to find the volume of the container?
The equation that can be used to find the volume V of the container is: Option A. [tex]V = 12 \pi}[/tex]
To find the volume V of the popcorn container, which is an inverted cone, we use the formula for the volume of a cone:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]Given:
The diameter of the circular opening is 4 inches, so the radius [tex]\( r \) is \( \frac{4}{2} = 2 \) inches.[/tex]The height h of the cone is 9 inches.Now substitute these values into the formula:
[tex]\[ V = \frac{1}{3} \pi (2)^2 (9) \][/tex]Calculate [tex]\( (2)^2 \):[/tex]
[tex]\[ (2)^2 = 4 \][/tex]Now substitute r = 2 and h = 9 into the formula:
[tex]\[ V = \frac{1}{3} \pi[/tex] × 4 × 9Simplify the multiplication:
[tex]\[ V = \frac{1}{3} \pi[/tex] × 36Now calculate [tex]\( \frac{1}{3}[/tex] x 36
[tex]\[ \frac{1}{3}[/tex] x 36 = 12Full Question
A popcorn container is the shape of an inverted cone. It is 9 inches tall, and the circular opening has a diameter of 4 inches.
A. [tex]V = 12 \pi}[/tex]
B. V=(4)(9) 3
C. V=(4)(9)²
D. V-(2)(9)² wr
Monica deposits $300 into a savings account that has a simple interest of 3.4%. Paul deposits $400 into a savings account that has a simple interest rate of 2.4%. Who earned more in interest and in one year?
Answer: Monica earned more interest
Step-by-step explanation:
The formula for calculating simple interest is given by :
S.I = [tex]\frac{ptr}{100}[/tex]
For Monica
S.I = 300 x 3.4 x 1 / 100
S.I = $10.2
For Paul
S.1 = 400 x 2.4 x 1 / 100
S.I = $9.6
Therefore : Monica earned more interest
you take a group of 20 people going to the movies. kids’ tickets cost $4 each, and adults tickets $6 each. your total cost is $96. the number of kids in your group is
The number of kids in your group is 12.
Step-by-step explanation:
Given,
Number of people = 20
Cost of each kid ticket = $4
Cost of each adult ticket = $6
Total spent = $96
Let,
x be the number of kids ticket
y be the number of adult ticket
According to given statement;
x+y=20 Eqn 1
4x+6y=96 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(x+y=20)\\4x+4y=80\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](4x+6y)-(4x+4y)=96-80\\4x+6y-4x-4y=16\\2y=16[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{16}{2}\\y=8[/tex]
Putting y=8 in Eqn 1
[tex]x+8=20\\x=20-8\\x=12[/tex]
The number of kids in your group is 12.
Keywords: linear equation, elimination method
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solve for x: 3x-4/6+1/3=3x/2
Answer:78
Step-by-step explanation:
Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8
Question:
Consider the sequence of numbers: [tex]\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}[/tex]
Which statement is a description of the sequence?
(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.
(B) The sequence is recursive and can be represented by the function
f(n + 1) = f(n) + 3/8 .
(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .
(D) The sequence is arithmetic and can be represented by the function
f(n + 1) = f(n)3/8.
Answer:
Option B:
The sequence is recursive and can be represented by the function
[tex]f(n + 1) = f(n) + \frac{3}{8} .[/tex]
Explanation:
A sequence of numbers are
[tex]\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}[/tex]
Let us first change mixed fraction into improper fraction.
[tex]\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}[/tex]
To find the pattern of the sequence.
To find the common difference between the sequence of numbers.
[tex]\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}[/tex]
[tex]\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}[/tex]
[tex]\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}[/tex]
[tex]\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}[/tex]
Therefore, the common difference of the sequence is 3.
That means each term is obtained by adding [tex]\frac{3}{8}[/tex] to the previous term.
Hence, the sequence is recursive and can be represented by the function [tex]f(n + 1) = f(n) + \frac{3}{8} .[/tex]
Which is the rationalized form of the expression look at picture
Answer:
[tex] \frac{ \sqrt{x} }{ \sqrt{x} + \sqrt{5} } ( \frac{ \sqrt{x} - \sqrt{5} }{ \sqrt{x} - \sqrt{5} } ) = \frac{x - \sqrt{5x} }{x - 5} [/tex]
The correct answer is C.
What is the addictive inverse of 6x
The additive inverse of 6x is -6x.
This is because 6x + (-6x) = 6x - 6x = 0
Answer:
-6x
Step-by-step explanation:
It's a little unclear from the question what you mean, but I assume you mean the 'additive inverse'. In terms of solving equations, this term typically means we just minus 6x. i.e - 6x.
However, if the question means find the inverse function of f(x) = 6x,
then this would be a different answer: in particular, the inverse function is the function that 'undoes' this, so it would be f-1(x) = x/6.
A club's membership increased from 250 to 300 members. Express the new membership as a percent of the old membership. Then, Express the old membership as a percent of the new membership.
Answer:
The new membership as a percent of the old membership = 120 %
The old membership as a percent of the new membership = 83.33 %
Step-by-step explanation:
Formula to find the percent of Comparing Quantities
Percent=Quantity/Whole x 100
i) To Express the new membership as a percent of the old membership
In this case the old membership is the whole and the new membership is a quantity.
Let A is the unknown percent to be find.
A =250/300 x 100
A =120 % answer -1
i) To Express the old membership as a percent of the new membership
In this case the new membership is the whole and the old membership is a quantity.
Let A is the unknown percent to be find.
A =300/250 x 100
A =83.33 % answer 2
The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.2.9 (Lee, 1994). a.) Find the mean and median.
b.) Find the range.
c.) Find the variance and standard deviation.
Without the specific lengths of the rivers, it's not possible to calculate the precise mean, median, range, variance, and standard deviation. In general, these values provide insights into the distribution and variability of river lengths on the South Island of New Zealand.
Explanation:Unfortunately, the specific lengths of the rivers mentioned in the question were not provided, so it's not possible to calculate the mean, median, range, variance, and standard deviation without that data. In general, to calculate these statistical terms:
Mean is calculated by adding up all the lengths of the rivers and dividing by the number of rivers.Median is the middle value when the river lengths are arranged in ascending order. If there is an even number of rivers, it's the average of the middle two values.Range is found by subtracting the shortest river length from the longest.Variance is the average of the squared differences from the Mean.Standard deviation is the square root of the variance, indicating how much the river lengths vary from the average length.These calculations are essential for understanding the distribution and variability of river lengths on the South Island of New Zealand.
X+42=85;x=43
How do u dolve
Answer: 85=85
Step-by-step explanation: You substitute the x for 43 then add the 43and 43 together
Simplify (5+6i)-(3-8i)-(5-3i)
Answer:
I think the answer is −3+17i
Step-by-step explanation:
:)
The simplified expression is 2 + 17i.
To simplify the expression (5+6i)-(3-8i)-(5-3i), we need to combine like terms.
Like terms are terms that have the same combination of real and imaginary parts.
When subtracting Simplifying complex numbers, we subtract the real parts and the imaginary parts separately.
In this case, the real parts are (5-3) = 2, and the imaginary parts are (6-(-8)-3) = 17.
Therefore, the simplified expression is 2 + 17i.
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Determine which relation is a function. Question 13 options: a) {(3, 0), (– 2, – 2), (7, – 2), (– 2, 0)} b) c) y = 15x + 2 y = 1 5 x + 2 d)
Answer:
x=3−2d,5,−2(1+d),5,−27−2d,5,−2(2+d),5,2(y−d),5
Step-by-step explanation:Solving for x. Want to solve for y or solve for d instead?
1 Simplify 0-20−2 to -2−2.
3,-2,-27,-2-2,02y=1,5x+2d3,−2,−27,−2−2,02y=1,5x+2d
2 Simplify -2-2−2−2 to -4−4.
3,-2,-27,-4,02y=1,5x+2d3,−2,−27,−4,02y=1,5x+2d
3 Subtract 2d2d from both sides.
3-2d,-2-2d,-27-2d,-4-2d,02y-2d=1,5x3−2d,−2−2d,−27−2d,−4−2d,02y−2d=1,5x
4 Divide both sides by 1,51,5.
\frac{3-2d}{1},5,\frac{-2-2d}{1},5,\frac{-27-2d}{1},5,\frac{-4-2d}{1},5,\frac{02y-2d}{1},5=x
1
3−2d
,5,
1
−2−2d
,5,
1
−27−2d
,5,
1
−4−2d
,5,
1
02y−2d
,5=x
5 Factor out the common term 22.
\frac{3-2d}{1},5,\frac{-2(1+d)}{1},5,\frac{-27-2d}{1},5,\frac{-4-2d}{1},5,\frac{02y-2d}{1},5=x
1
3−2d
,5,
1
−2(1+d)
,5,
1
−27−2d
,5,
1
−4−2d
,5,
1
02y−2d
,5=x
6 Factor out the common term 22.
\frac{3-2d}{1},5,\frac{-2(1+d)}{1},5,\frac{-27-2d}{1},5,\frac{-2(2+d)}{1},5,\frac{02y-2d}{1},5=x
1
3−2d
,5,
1
−2(1+d)
,5,
1
−27−2d
,5,
1
−2(2+d)
,5,
1
02y−2d
,5=x
7 Factor out the common term 22.
\frac{3-2d}{1},5,\frac{-2(1+d)}{1},5,\frac{-27-2d}{1},5,\frac{-2(2+d)}{1},5,\frac{2(y-d)}{1},5=x
1
3−2d
,5,
1
−2(1+d)
,5,
1
−27−2d
,5,
1
−2(2+d)
,5,
1
2(y−d)
,5=x
8 Simplify \frac{3-2d}{1}
1
3−2d
to (3-2d)(3−2d).
3-2d,5,\frac{-2(1+d)}{1},5,\frac{-27-2d}{1},5,\frac{-2(2+d)}{1},5,\frac{2(y-d)}{1},5=x3−2d,5,
1
−2(1+d)
,5,
1
−27−2d
,5,
1
−2(2+d)
,5,
1
2(y−d)
,5=x
9 Simplify \frac{-2(1+d)}{1}
1
−2(1+d)
to (-2(1+d))(−2(1+d)).
3-2d,5,-2(1+d),5,\frac{-27-2d}{1},5,\frac{-2(2+d)}{1},5,\frac{2(y-d)}{1},5=x3−2d,5,−2(1+d),5,
1
−27−2d
,5,
1
−2(2+d)
,5,
1
2(y−d)
,5=x
10 Simplify \frac{-27-2d}{1}
1
−27−2d
to (-27-2d)(−27−2d).
3-2d,5,-2(1+d),5,-27-2d,5,\frac{-2(2+d)}{1},5,\frac{2(y-d)}{1},5=x3−2d,5,−2(1+d),5,−27−2d,5,
1
−2(2+d)
,5,
1
2(y−d)
,5=x
11 Simplify \frac{-2(2+d)}{1}
1
−2(2+d)
to (-2(2+d))(−2(2+d)).
3-2d,5,-2(1+d),5,-27-2d,5,-2(2+d),5,\frac{2(y-d)}{1},5=x3−2d,5,−2(1+d),5,−27−2d,5,−2(2+d),5,
1
2(y−d)
,5=x
12 Simplify \frac{2(y-d)}{1}
1
2(y−d)
to (2(y-d))(2(y−d)).
3-2d,5,-2(1+d),5,-27-2d,5,-2(2+d),5,2(y-d),5=x3−2d,5,−2(1+d),5,−27−2d,5,−2(2+d),5,2(y−d),5=x
13 Switch sides.
x=3-2d,5,-2(1+d),5,-27-2d,5,-2(2+d),5,2(y-d),5x=3−2d,5,−2(1+d),5,−27−2d,5,−2(2+d),5,2(y−d),5
Done
A ski run has an angle of elevation of 24.4 degrees and a vertical drop of 1100 feet . To the nearest foot how long is the ski run
Answer:1100 feet
Step-by-step explanation: the drop is 11 feet
To find the length of the ski run, we use tangent of the angle of elevation (24.4 degrees) which equals the vertical drop (1100 feet) divided by the length of the run. Calculating this gives a length of approximately 2433 feet for the ski run.
Explanation:To calculate the length of the ski run with an angle of elevation of 24.4 degrees and a vertical drop (rise) of 1100 feet, we use trigonometry, specifically the tangent function.
Tangent of an angle in a right triangle equals the opposite side (rise) divided by the adjacent side (run). In this case, we have:
tan(24.4 degrees) = rise / run
Plugging in the known value for the rise (1100 feet), we get:
tan(24.4 degrees) = 1100 / run
This allows us to solve for the run (length of the ski run):
run = 1100 / tan(24.4 degrees)
Using a calculator, we find that:
run ≈ 1100 / 0.4525
run ≈ 2432.96 feet
This can be rounded to the nearest foot to give a ski run length of approximately 2433 feet.
3y = 2x + 5
find the constant of variation
y doesn't vary directly with x
Complete the equation of the line whose slope is 5 and y intercept is (0,4)
y = 5x + 4 is the equation of the line whose slope is 5 and y intercept is (0,4)
Solution:
Given that, we have to write the equation of the line whose slope is 5 and y intercept is (0,4)
The equation of line in slope intercept form is given as:
y = mx + c ---- eqn 1
Where, "m" is the slope of line and "c" is the y - intercept
Given that, slope = m = 5
y intercept is (0, 4)
So, c = 4
Substitute c = 4 and m = 5 in eqn 1
y = 5x + 4
Thus the equation of line is found
Sabine records the daily heights of a random sample of bamboo stalks, in inches. They are:
20, 19, 17, 16, 18, 15, 20, 21
Consider the formulas:
A: s squared = StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1. B: s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot. C: Sigma squared = StartFraction (x 1 minus mu) Squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction. D: Sigma = StartRoot StartFraction (x 1 minus mu) Squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction EndRoot
Which formula should you use for variance?
Which formula should you use for standard deviation?
Answer:
Step-by-step explanation:
13.71
Step-by-step explanation:
Given the data as : 13 , 17, 9, 21
Finding the mean of the data;
sum of data set =13+17+9+21=60
Number of data set ,n,= 4
Mean= sum/n =60/4 =15
Finding the deviation from the mean
13-4=9
17-4=13
9-4=5
21-4=17
Squaring the deviations from mean
9²=81
13²=169
5²=25
17²=289
Adding the squares of deviations from the mean
81+169+25+289 =564
Finding n-1
4-1=3
Finding variance
564/3 =188
Finding the standard deviation
√188 = 13.71
Answer:
sample variance: option A
sample standard deviation: option B
Step-by-step explanation:
Given that we want to analyze a sample, then we need the sample variance formula and the sample standard deviation. The standard deviation is calculated by taking the square root of the variance. With sample [tex] \bar{x} [/tex], sample mean, is used, instead of [tex] \mu [/tex], the mean of the population.
Solve the simultaneous equation 3x^2-xy=0 and 2y-1
Answer: 1
Step-by-step explanation: 3x^2-xy=0,
2y-5x=1
13x-y=-5 in slope intercept form
Answer:
y = 13x + 5
Step-by-step explanation:
If week 1=5, week 2=3, week 3=7, week 4=5 what will week 5 be?
Answer: 11
Step-by-step explanation:
The sequence goes +4, +1, +5, +1... so obviously the next number will be +6. So, 5+6=11
The answer is week 5=11
Week 5 will be 9.
This is a question that has to do with one's reasoning. Since we are given that week 1=5, week 2=3, week 3=7, week 4=5, we can infer that the sequence used is +4, +1, +4, +1, ....
In this case, the last week was week 4 and was given as week 4=5, in this case +1 was used, therefore the next week will have +4. In this case, week 5 will be:
= 5 + 4
= 9
Therefore, week 5 will be 9
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a) 4x + 1
b) C = 15+ 3n
c) 3x + 4 = 13
For each of a, b and c
state which is an
equation, which is an
expression and which is a
formula.
Answer:
a) 4x + 1 expression
b) C = 15+ 3n “it might be a Formula”
c) 3x + 4 = 13 equation
Use partial quotients to solve 504 divide 14
Answer:
Perform the following division using partial quotients: 504 ÷ 14:
To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1
Step-by-step explanation:
1 4| 5 0 4
2 8 0 20 <---- 20 x 14 = 280
2 2 4 <---- 504 - 280 = 224
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10 <---- 10 x 14 = 140
8 4 <---- 224 - 140 = 84
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10
8 4
7 0 5 <---- 5 x 14 = 70
1 4 <---- 84 - 70 = 14
1 4| 5 0 4
2 8 0 20
2 2 4
1 4 0 10
8 4
7 0 5
1 4
1 4 1 <---- 1 x 14 = 14
0 <---- 14 - 14 = 0
Our partial quotients add up as follows:
20 + 10 + 5 + 1 = 36
I hope it helps plz Mark me brainliest:)
The partial quotients are [tex]30,6[/tex] and the value of the quotient is [tex]36[/tex].
Given:
[tex]504[/tex] divided by [tex]14[/tex].
To find:
The quotient by usign the partial quotients.
Explanation:
We have,
Dividend = 504
Divisor =14
Now,
14 | 504
420 (14 × 30)
------------------------
84 (After subtraction)
84 (14 × 6)
-------------------------
0 (After subtraction)
-------------------------
The partial quotients are [tex]30[/tex] and [tex]6[/tex] and the value of the quotient is:
[tex]30+6=36[/tex]
Therefore, the quotient of the given problem is [tex]36[/tex].
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l Zach graphs some ordered pairs in
the coordinate plane. The x-values of the ordered pairs represent the
number of hours since noon, and the y-values represent the temperature
at that time.
a. In which quadrants could Zach graph points? Explain your thinking.
In what part of the world and at what time of year might Zach collect
data so that the points he plots are in Quadrant IV?
Answer:
x
Step-by-step explanation:
9^2 ÷ (2 + 1) × (30 - 3^3)
9^2 ÷ (2 + 1) × (30 - 3^3)
Answer:81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
9^2 ÷ (2 + 1) × (30 - 3^3) =
= 81 ÷ 3 × (30 - 27)
= 27 × 3
= 81
Describe the effect an increase in n, the number of payment periods, has on the monthly payment P in the formula P = P V times StartFraction i over 1 minus (1 + i) superscript negative n Baseline EndFraction a. An increase in n, the number of payment periods, will not change P, the monthly payment. b. An increase in n, the number of payment periods, will create an increase in P, the monthly payment. c. An increase in n, the number of payment periods, will create a decrease in P, the monthly payment. d. An increase in n, the number of payment periods, can increase or decrease P, the monthly payment, depending on the value of PV.
Answer:
Option b. An increase in n, the number of payment periods, will create an increase in P, the monthly payment.Explanation:
The monthly payment formula described is:
[tex]P=PV\frac{i}{1-(1+i)^{-n}}[/tex]
Where:
P = monthly paymentPV = present valuei = interest rate per monthn = number of periods.Mathematically, you can reason in the following way:
When n increases, the factor (1 +i)⁻ⁿ which is equal to the 1 / (1+ir)ⁿ decreases (because the denominator increases, the fraction increases).When (1 + i)⁻ⁿ increases, 1 - (1 + i)⁻ⁿ decreases.Since 1 - (1 + i)⁻ⁿ is in the denominator, when it decreases the fraction, which is equal to P, increases.Thus, it is proved that an increase in n, the number of payment periods, will create an increase in P, the monthly payment (option b).
The BEST description of the effect of an increase in n, the number of payment periods, on the monthly payment is c. An increase in n, the number of payment periods, will create a decrease in P, the monthly payment.
When the number of payment periods, n, increases, the monthly payment of the Liability will decrease instead of increasing, nor will it remain the same.
Thus, the BEST description of the effect of an increase in n, the number of payment periods, on the monthly payment is Option C.
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