For the estimated regression equation,
1. SST = 1946 SSR = 1602.747 SSE = 343.256
2. coefficient of determination r² = 0.824
3. The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. Option D
How do you solve for SST, SSR, and SSE looking at the estimated regression equation?Looking at the estimated regression equation, Start by getting the Predicted Scores, which are;
21.257525 + 0.327425 x 180 = 80.194025
21.257525 + 0.327425 x 150 = 70.371275
21.257525 + 0.327425 x 95 = 52.3629
21.257525 + 0.327425 x 70 = 44.177275
21.257525 + 0.327425 x 70 = 44.177275
21.257525 + 0.327425 x 35 = 32.7174
Step 2, find mean
Mean = (74 + 73 + 59 + 56 + 38 + 24) / 6 = 54
SST = Σ(yi - y_mean)²
SST = (74 - 54)² + (73 - 54)² + (59 - 54)² + (56 - 54)² + (38 - 54)² + (24 - 54)² =1946
SSR = Σ(yi_predicted - y_mean)²
SSR = (80.194025 - 54)² + (70.371275 - 54)² + (52.3629 - 54)² + (44.177275 - 54)² + (44.177275 - 54)² + (32.7174 - 54)² = 1602.74660285
SSE = Σ(yi - yi_predicted)²
(74 - 80.194025)² + (73 - 70.371275)² + (59 - 52.3629)² + (56 - 44.177275)² + (38 - 44.177275)² + (24 - 32.7174)² = 343.255852847
r² = SSR / SST = 1602.747/1946 = 0.82361099691
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The perimeter of the shape below is 44 feet. What is the area in square feet?
The area of the shape is 120 if the perimeter of the given shape is 44 feet.
The shape is given below.
It is in the shape of a rectangle.
Length = 6x and width = 4x + 2
Perimeter of a rectangle = 2 × (Length + Width)
So,
2 (6x + 4x + 2) = 44
2 (10x + 2) = 44
10x + 2 = 22
10x = 20
x = 2
So, length = 6x = 12
Width = 4x + 2 = 10
Area of the rectangle = Length × Width
= 12 × 10
= 120
Hence the area of the shape is 120.
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2) 11 ft K-7 ft-K-8 ft- ·20 ft.
The area of the given figure is 192.5 ft².
Given is a figure we need to find its area,
By splitting the shape in 2, we can find the area.
Starting with the parallelogram (on the left), the area formula is A = b × h.
b (base) = 11 ft.
h (height) = 7 ft.
A (area) = (11 ft.)(7 ft.)
A = 77 ft.²
Then, the trapezoid's (on the right) area formula is A = [(a + b) ÷ 2] × h.
a (first base) = 8 ft.
b (second base) = (20 - 7) = 13 ft.
h (height) = 11 ft.
A = [(8 ft. + 13 ft.) ÷ 2] × 11 ft.
A = [(21 ft.) ÷ 2] × 11 ft.
A = (10.5 ft.) × 11 ft.
A = 115.5 ft.²
we can add them together to find the total area:
A = 77 ft.² + 115.5 ft.²
A = 192.5 ft.²
Hence, the area of the given figure is 192.5 ft².
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The following question has two parts. First, answer part A. Then, answer part B.
Part A "If you share 7 apples equally with 3 people, then there are 2 1/3 ..."
First, complete the sentence. Then, briefly explain what the whole number 2, the denominator 3, and the numerator 1 mean in this problem.
Part B The expression 1 ÷ 1 4 is given. Give a real-life application to explain this expression and then simplify it.
"If you share 7 apples equally with 3 people, then there are 2 1/3 apples for each person."The whole number 2 represents the number of apples that each person will get when sharing 7 apples equally with 3 people.
The numerator 1 represents the remaining part of an apple that is left after sharing equally among 3 people. The denominator 3 represents the number of persons with whom the apples are being shared equally.
A possible real-life application for the expression 1 ÷ 1/4 is dividing a pizza into quarters and then sharing one slice of pizza equally among a group of people.
To simplify the expression for sharing, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal. So, 1 ÷ 1/4 is equivalent to 1 × 4/1, which simplifies to 4.
Thus, 1 ÷ 1/4 is equal to 4.
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If the coordinates of A are (-4,2) and the coordinates of B are (1,-4). What are the coordinates of the midpoint of AB?
-2, -1/2
-3/2, -1
-1, -3/2
-1/2, -2
The answer is -3/2, -1. Got it right on edge.
The solution is, the coordinates of midpoint of AB are (-3/2, -1)
We will use the formula of midpoint ;
(Xm , Ym) = (x₁ + x₂ /2 , y₁ + y₂ /2)
This implies that;
Xm = x₁ + x₂ /2
From the question, x₁ = -4 y₁= 2 and, x₂ =1, y₂ = -4
substituting the values into;
Xm = x₁ + x₂ /2 and then solve for x_m
x_m = -4 + 1 / 2
x_m = -3/2
Similarly, substituting the values into;
Ym = y₁ + y₂ /2 and then solve for y_m
so. we get,
y_m = 2+ (-4) / 2
or, y_m = -1
Hence the coordinates of midpoint of AB are (-3/2, -1)
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The volume of a right cone is 1824 � π units 3 3 . If its circumference measures 24 � π units, find its height.
The value of the height of the cone is 38 units
How to determine the height
The formula for calculating the circumference of a cone is represented as;
Circumference = 2πr
Now, substitute the value to determine the radius, we have;
24π = 2πr
Divide by the coefficient of r
r = 24π/2π
r = 12 units
The formula for the volume of a cone is;
Volume = πr²h/3
Substitute the values
1824 π = π × 144 ×h/3
Multiply the values
1824π = 144πh/3
Make h the subject
h = 38 units
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Need help now please! Thanks!
The simplest radical form of the sine of y/2 is:
sin(y/2) = ±√(2/5)
How to find the value of sin(y/2)?Here we know that:
cos(y) = 1/5.
We want to find sin(y/2), so we can use the identity:
sin(y/2) = ±√( ( 1 - cos(y))/2)
Replacing cos(y) there we will get.
sin(y/2) = ±√( ( 1 - 1/5)/2)
sin(y/2) = ±√( ( 4/5/2)
sin(y/2) = ±√(2/5)
That is the simplest radical form.
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from a hot air balloon the angles of depression to each end of the lake are 68º and and 32º. given that the balloon is 250 m above the ground, find the length of the lake.
The length of the lake is equivalent to 295 meters.
We can write that -
tan(32°) = 250/{x}
{x} = 250/tan(32°)
also
tan(68°) = 250/{y}
{y} = 250/tan(68°)
We can write the length of the lake as -
L = x - y
L = 250/tan(32°) - 250/tan(68°)
L = 250{1/tan(32°) - 1/tan(68°)}
L = 250{1/(0.63) - 1/(2.48)}
L = 250{1.58 - 0.40}
L = 250 x 1.18
L = 295 meters
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2 tens + 23 ones=
Trying to help my daughter with homework
Danielle sells beauty supplies and earns a base salary of $450 per week plus a 9% commission on sales. During one particular week, she sells $895 worth of beauty supplies . How much commission does she make for that week ?
In a case whereby Danielle sells beauty supplies and earns a base salary of $450 per week plus a 9% commission on sales and During one particular week, she sells $895 worth of beauty supplies the commission that she make for that week is $530,55
How can the commission be calculated?The base salary from the question is $450. The commision = 9%
Then the Commission that can be gotten from the week= ($895 x 0,09= $80,55)
Total salary= ($450 +80,55)
Total salary= $530,55
Therefore, the commission that she make for that week is $530,55
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Hurry! How many different combinations are possible w 8 shirts, 2 pairs of jeans, and 3 pairs of shoes?
Answer:
There are 48 different combinations possible with 8 shirts, 2 pairs of jeans, and 3 pairs of shoes.
Step-by-step explanation:
To find the number of different combinations possible with 8 shirts, 2 pairs of jeans, and 3 pairs of shoes, we need to multiply the number of options for each category.
For shirts, there are 8 options.
For jeans, there are 2 options (either wear a pair or not wear a pair).
For shoes, there are 3 options.
To find the total number of combinations, we multiply these options:
8 * 2 * 3 = 48
Therefore, there are 48 different combinations possible with 8 shirts, 2 pairs of jeans, and 3 pairs of shoes.
Answer: 48
Step-by-step explanation:
Total outcomes, you multiply all possibilities.
8 shirts
2 jeans
3 shoes
8*2*3 =48
Can some one solve this for me?
Options:
A - 24
B -21
C-18
D-6
The length of chord LM is determined as 24 inches.
option A.
What is the length of chord LM?The length of the chord LM is calculated by applying the following formula as shown below;
Based on intersecting chord theorem, when two chord intersect in a circle, the product of two segment of one chord is equal to the product of two segment of the second chord.
First we need to find the value of x;
3x(x) = 12 (9)
3x² = 108
x² = 108/3
x² = 36
x = √ 36
x = 6
The length of chord LM is calculated as follows;
LM = x + 3x
LM = 6 + 3(6)
LM = 24
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The equation of line R, shown below, can be
written in the form y = mx + c.
What are the values of m and c?
Give each of your answers as an integer or
as a fraction in its simplest form.
Y
6-
5-
4
3
2.
1
-5 -4 -3 -2 -1 0
-1.
--2-
--3/
Line R
1 2 3 4
5
X
PLEASE DO IT
Answer:
y = 5x -2m = 5c = -2Step-by-step explanation:
You want the values of m and c for the equation y = mx + c that describes the line on the graph.
MThe coefficient 'm' in the equation y = mx + c is the slope of the line. It is the ratio of the "rise" to the "run". The "rise" is the vertical distance from one point to another on the line. The "run" is the corresponding horizontal distance between the points.
For finding these values, it is convenient to locate points on the graph that cross grid line intersections. These are circled in the attachment.
The slope (m) of this line is ...
m = 5/1 = 5
CThe constant 'c' in the equation y = mx + c is the y-intercept of the line. It is the value of y when x=0. On the graph, it is the y-coordinate of the point where the line crosses the y-axis.
The line on this graph crosses the y-axis at y = -2.
The value of 'c' is -2.
The equation of the line is y = 5x -2.
__
Additional comment
You can find the values of "rise" and "run" from coordinates, or by counting grid squares on the graph. Often, counting the grid lines is easier.
Here, the "rise" is 3 -(-2) = 5, the difference of y-coordinates of the circled points.
The "run" is 1 -0 = 1, the difference of the corresponding x-coordinates of the circled points.
The slope is rise/run = 5/1 = 5.
Alguien me ayuda ofrezco buenos puntos
From the given triangle figure the value of y is 4.5.
The given figure is -
Now we have to find the value of 'y' from the given triangle.
Triangle ABC is right angled triangle with right angle at point A.
So, ∠B + ∠C = 90° ......... (i)
Again, triangle ADB is a right angled triangle with right angle at point D.
So, ∠DAB + ∠B = 90° .......... (ii)
Comparing (i) and (ii) we can say that,
∠DAB = ∠C
Again, triangle ADB is a right angled triangle with hypotenuse AB.
By Pythagoras theorem,
AD² + DB² = AB²
AB² = 3² + 2² = 9 + 4 = 13
AB = √13
Hence triangle ABC and triangle ADB are two similar triangles. So,
AB/DB = CB/AB
√13/2 = (y + 2)/√13
2(y + 2) = √13*√13
2y + 4 = 13
2y = 13 - 4 = 9
y = 9/2 = 4.5
So the value of y is 4.5.
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The question in another language, The question in English should be -
"In the figure below, find the exact value of y. (without making an approximation of the answer)"
need help with algebra. please help me..... quick and right answer only please ;)
I'd say it's number 2, well I'm pretty sure it's number two about the b value. Let me know if I'm right
Answer:
D. The student didn't put parentheses around the -2 when finding the discriminant.
Ryan wishes to purchase a new boat and can afford monthly payments of up to $300 per month. Finance is available, and the terms are that the loan lasts for 8 years and the annual interest rate is 11%. What is the maximum price for a boat that Ryan's budget can afford?
Round your answer to the nearest hundred dollars.
Do NOT round until you have calculated the final answer.
Answer:
PV = PMT x [(1 - (1 + r/n)^(-nt)) / (r/n)]
Where:
PV is the present value of the loan (maximum price of the boat that Ryan can afford)
PMT is the monthly payment that Ryan can afford ($300)
r is the annual interest rate (11%)
n is the number of times interest is compounded per year (12, for monthly payments)
t is the number of years for the loan (8)
Plugging in the numbers, we get:
PV = $300 x [(1 - (1 + 0.11/12)^(-12*8)) / (0.11/12)]
PV = $24,598.82
Therefore, the maximum price for a boat that Ryan's budget can afford is $24,598.82, rounded to the nearest hundred dollars, is $24,600.
Step-by-step explanation:
use brain
An elevator has a placard stating that the maximum capacity is 1944 lb-12 passengers. So, 12 adult male
passengers can have a mean weight of up to 1944/12 = 162 pounds. If the elevator is loaded with 12 adult
male passengers, find the probability that it is overloaded because they have a mean weight greater than 162
Ib. (Assume that weights of males are normally distributed with a mean of 169 lb and a standard deviation of 29 lb.)
Does this elevator appear to be safe?
The probability the elevator is overloaded is
(Round to four decimal places as needed.)
The probability 0.7977 that the sample mean weight of 12 adult male passengers is greater than 162 lb.
There is a 79.77% chance that the elevator is overloaded
What is Central Limit Theorem?We can use the Central Limit Theorem here, which states that the sample mean of a sufficiently large sample size (n≥30) will be approximately normally distributed with mean μ and standard deviation σ/√n, where μ is the population mean and σ is the population standard deviation.
In this case, n=12, μ=169 lb, and σ=29 lb. Therefore, the sample mean weight of 12 adult male passengers will be approximately normally distributed with mean 169 lb and standard deviation 29/√12 ≈ 8.38 lb.
Now we can standardize this distribution to find the probability that the sample mean weight is greater than 162 lb:
z = (162 - 169) / 8.38 ≈ -0.83
We determine that the probability of z being less than or equal to -0.83 is approximately 0.2023, which can be calculated using a standard normal distribution table or calculator.
Therefore, there is a probability of 1 - 0.2023 ≈ 0.7977 that the sample mean weight of 12 adult male passengers is greater than 162 lb.
This indicates that if the elevator is filled with 12 adult male passengers, there is a 79.77 percent chance that it will be overloaded. The elevator does not appear to be safe for this many passengers, and this is a very high probability
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On a certain hot summer's day, 454 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1,043.00. How many children and how many adults swam at the public pool that day?
Answer:
Let's assume that the number of children who used the public swimming pool is 'x' and the number of adults who used the pool is 'y'.
From the given information, we can form two equations:
x + y = 454 (equation 1) --> the total number of people who used the pool
1.5x + 2.5y = 1043 (equation 2) --> the total revenue collected from admission fees
We can use these equations to solve for 'x' and 'y'. Let's start by multiplying equation 1 by 1.5 to eliminate 'x':
1.5x + 1.5y = 681 (equation 1 multiplied by 1.5)
1.5x + 2.5y = 1043 (equation 2)
Now, we can subtract equation 1 from equation 2 to eliminate 'x' and solve for 'y':
2.5y - 1.5y = 1043 - 681
y = 224
So, there were 224 adults who used the pool. We can substitute this value into equation 1 to solve for 'x':
x + 224 = 454
x = 230
Therefore, there were 230 children who used the pool.
What is the median in this boxplot?
000
900
700
500
400
300
200
100
O 154
O 345
420
O 484
0000000000000
O924
22%3
04.0
Ma
(154,000)
The median of the boxplot is 420.
In a boxplot, the median is the line in the Centre of the box.
Given that;
The upper horizontal line of the box is at 490
The Lower horizontal line of the box is at 350
Therefore the median of boxplot
= (upper point + lower point)/2
= (490 + 350)/2
= 420
Hence middle point be at 420.
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PLS HELP FAST 30 POINTS!!
The numbers 1/2,x,y,3/4 are in increasing order of size. The differences between successive numbers in this list are all the same. What is the value of y?
Answer:
The value of y in the list 1/2,x,y,3/4 is 2/3. This is because the differences between successive numbers in the list are all the same, and the difference between 1/2 and 3/4 is 2/3.
A blacktop on a playground has the dimension
shown in the model.
10 m
8 m
24 m
8 m
What’s the area of the blacktop in square meters?
A 196 B 576 C 78 D 272
PLEASE HELP ASAP!!!
What is the solution to the system of equations?
A. There are infinitely many solutions.
B. There is no solution.
C. There is one unique solution (−6, 0).
D. There is one unique solution (−3, 1).
The solution of "system-of-equations" shown in the graph is (d) There is one unique solution (-3, 1).
In the graph shown, we see that the two lines representing the two equations, intersect at a single point,
So, we can say that the given system-of-equations has a "unique-solution",
On carefully observing the point of intersection, we see that, the "x-coordinate" of intersecting point is "-3", and the "y-coordinate" of the intersecting point is "1",
So, the unique solution of the "system-of-equations" occur at the point (-3,1).
Therefore, the correct option is (d).
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Use the graph to answer the question.
Graph of polygon ABCDE with vertices at negative 1 comma negative 4, negative 1 comma negative 1, 3 comma negative 1, 3 comma negative 4, 1 comma negative 6. A second polygon A prime B prime C prime D prime E prime with vertices at 13 comma negative 4, 13 comma negative 1, 9 comma negative 1, 9 comma negative 4, 11 comma negative 6.
Determine the line of reflection.
Reflection across the x-axis
Reflection across x = 6
Reflection across y = −3
Reflection across the y-axis
The line of reflection for the graph is Reflection across x = 6.
Given a graph of the polygon ABCDE.
Vertices of the polygon are :
A(-1, -4), B(-1, -1), C(3, -1), D(3, -4) and E(1, -6).
Also given a graph of the polygon A'B'C'D'E'.
A'(13, -4), B'(13, -1), C'(9, -1), D'(9, -4) and E'(11, -6).
Here the y coordinates has not been change. Only the x coordinates change.
So the line of reflection will be of the form x = c.
Mid point of each of the corresponding vertices are,
Mid point of AA' = (6, -4),
Midpoint of BB' = (6, -1)
Midpoint of CC' = (6, -1)
Midpoint of DD' = (6, -4)
Midpoint of EE' = (6, -6)
So all the x coordinates are same, x = 6
Hence the line of reflection is x = 6.
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lentify the similar triangles with a similarity statement, then find the value of x.
Using the fact that the triangles are similar, we can see that x = 2
How to find the value of x?The triangles are similar because lines WR and RT have the same slopes compared to SR and RV.
Now, we know that there is a scale factor between them, so if that scale factor is k, we can write:
8*k = 10
k = 10/8
k = 1.25
Then:
(x + 6)*1.25 = 2x + 6
Now we can solve this for x.
1.25x + 7.5 = 2x + 6
7.5 - 6 = 2x - 1.25x
1.5 = 0.75x
1.5/0.75 = x =2
That is the value of x.
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What is the difference between the measure of an arc and arc length? Explain.
A.
The measure of an arc corresponds to the measure of a central angle and an arc length is a fraction of the circle's circumference.
B.
The measure of an arc corresponds to the measure of a fraction of a central angle and an arc length is a fraction of the circle's circumference.
C.
The measure of an arc is a fraction of the circle's circumference and an arc length corresponds to the measure of a central angle.
D.
The measure of an arc corresponds to the measure of a central angle and an arc length is circle's circumference.
The correct statement is :- The measure of an arc corresponds to the measure of a central angle and an arc length is a fraction of the circle's circumference. [option A]
The measure of an arc is calculated according to how much part of the circle is intercepted by the central angle which is corresponding to that arc.
Whereas,
Length of an arc is the measure of a certain part of the circumference of the circle.
Hence the measure of an arc corresponds to the measure of a central angle and an arc length is a fraction of the circle's circumference.
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Given f(x) = X-4 and g(x) = 9x + 4, find (g of (x).
A)9x+32
B) x-1
C) X
D) x + 8
Answer:
To find (g of f)(x), we need to first find f(x) and then substitute it into g(x).
f(x) = x - 4
Now we can substitute f(x) into g(x):
g(f(x)) = 9f(x) + 4
g(f(x)) = 9(x - 4) + 4
g(f(x)) = 9x - 36 + 4
g(f(x)) = 9x - 32
Therefore, the answer is (A) 9x+32.
Answer:
the answer is d- (x-5)
Hey, I need help now please.
The parabola has vertex of (-6, 11) and a p - value of 4.5.
How to find the vertex and p - value ?We can calculate the midpoint between the focus and the directrix point that is directly above or below the focus in order to locate the vertex. This point is at (-6, 11), which is the same as the focus' x-coordinate and the directrix's y-coordinate.
We can use either the distance between the vertex and the directrix or the focus to determine the p-value:
p = ( k - ( - 7 )) / 2
= (2 - (-7) ) / 2
= 9/2
= 4. 5
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NO LINKS!! URGENT HELP PLEASE!!
If a and h are real numbers, find the following values for the given function.
f(x) = 3 -2x
a. f(-a)=
b. -f(a)=
c. f(a + h)
d. f(a) + f(h)
e. (f(a + h) - f(a))/h if h ≠ 0
Answer:
Step-by-step explanation:
a. f(-a) = 3 - 2(-a) = 3 + 2a
b. -f(a) = -(3 - 2a) = -3 + 2a
c. f(a + h) = 3 - 2(a + h) = 3 - 2a - 2h
d. f(a) + f(h) = (3 - 2a) + (3 - 2h) = 6 - 2a - 2h
e. (f(a + h) - f(a))/h = [3 - 2(a + h) - (3 - 2a)]/h = [-2h]/h = -2, if h ≠ 0.
Answer:
a. To find f(-a), substitute -a for x in the given function:
f(-a) = 3 - 2(-a) = 3 + 2a
Therefore, f(-a) = 3 + 2a.
b. To find -f(a), evaluate f(a) and then multiply by -1:
f(a) = 3 - 2a
-f(a) = -(3 - 2a) = -3 + 2a
Therefore, -f(a) = -3 + 2a.
c. To find f(a + h), substitute a + h for x in the given function:
f(a + h) = 3 - 2(a + h) = 3 - 2a - 2h
Therefore, f(a + h) = 3 - 2a - 2h.
d. To find f(a) + f(h), evaluate f(a) and f(h), and then add them:
f(a) = 3 - 2a
f(h) = 3 - 2h
f(a) + f(h) = (3 - 2a) + (3 - 2h) = 6 - 2a - 2h
Therefore, f(a) + f(h) = 6 - 2a - 2h.
e. To find (f(a + h) - f(a))/h if h ≠ 0, substitute the expressions for f(a + h) and f(a) into the formula:
(f(a + h) - f(a))/h = ((3 - 2a - 2h) - (3 - 2a))/h = (-2h)/h = -2
Therefore, (f(a + h) - f(a))/h = -2 if h ≠ 0.
The formula f=2000(1+0.03) exponent n is used to calculate the future value of a 2000 investment after n number of years. What is the value of the investment, to the nearest cent, after 18 months?
Answer:
$2102.48.
Step-by-step explanation:
FV=PV⋅(1+r)n
where:
FV is the future value
PV is the present value
r is the interest rate per period
n is the number of periods
In your case, the present value is 2000, the interest rate per year is 0.03, and the number of years is 18/12 = 1.5. However, since the formula uses the interest rate per period and the number of periods, you need to convert them to match the frequency of compounding. For example, if the interest is compounded monthly, then you need to divide the annual interest rate by 12 and multiply the number of years by 12. Let’s assume that the interest is compounded monthly in this case. Then, you can plug in the values into the formula and get:
FV=2000⋅(1+120.03)1.5⋅12
Using a calculator, you can simplify this expression and get:
FV=2000⋅1.031518
FV=2000⋅1.0512
FV=2102.48
What is the perimeter? If necessary, round to the nearest tenth.
If Mrs. Hoover sells 50 books at the book fair on Friday, which prediction for Friday is
NOT supported by the data in the table?
The difference between the number of sports and trivia books sold and the
number of arts and crafts books sold on Friday will be 12.
The number of non-fiction books sold on Friday will be two-and-a-half times the
number of arts and crafts books sold on Friday.
The combined Friday sales for non-fiction books and novels will be 30 books.
The number of novels sold on Friday will be 10 times the number of non-fiction
books sold on Friday.
The prediction that is not supported by the data is option B: "The number of non-fiction books sold on Friday will be two-and-a-half times the number of arts and crafts books sold on Friday."
We can see from the table that on Thursday, 7 sports and trivia books and 19 arts and crafts books were sold, for a difference of 12.
On Thursday, 13 non-fiction books and 19 arts and crafts books were sold.
If we assume that the same ratio will hold on Friday, then we can predict that the number of non-fiction books sold will be (19/2)×2.5 = 23.75 Which is not a whole number.
Therefore, this prediction is not supported by the data.
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