Answer:
i have 3 and i do 3 times more.
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to
3
2
?
A.
6
2
y
−
9
y
2
−
3
y
B.
9
y
−
6
y
+
2
C.
3
y
2
y
−
6
+
9
2
y
−
6
D.
The correct equivalent expression is,
⇒ - 3 (2x - 3y)
We have to given that;
Expression is,
⇒ - 6x + 9y
Now, We can simplify as;
⇒ - 6x + 9y
⇒ - 3 (2x - 3y)
Thus, The correct equivalent expression is,
⇒ - 3 (2x - 3y)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Complete question is,Which expression is equivalent to −6x + 9y?
A) −3(2x + 3y)
B) −3(2x − 3y)
C) 3(2x − 3y)
D) −3(2x + 9)
I need help please , it would be nice
Answer:
A
Step-by-step explanation:
sub each value into x,the value is the minutes,that is, 1,2,3,....and so on to get the answer (gallons of water)
Amy went to the store. She took $35.64 with her. When she left the store, she had $8.71. How much did she spend?
Answer:
26.93
Subtract 35.64 by 8.71
Find the slope (-17,9),(6,-8)
8+8+8+8 whats the answer
Answer:
the answer is 32
Step-by-step explanation:
8 plus 8 is 16 times 2 is 32
Answer:
32
Step-by-step explanation:
8+8 = 16
8+8 = 16
16+16 = 32
:)
The first one I know but the other two I need help with
Answer:
a) 44
b) 11
c) 4
Step-by-step explanation:
a) x + 46 = 90
x = 90 - 46
x = 44
b) 9x + 81 = 180
9x = 180 - 81
9x = 99
x = 11
c) (5x + 30) + 40 = 90
(5x + 30) = 90 - 40 = 50
5x + 30 = 50
5x = 50 - 30
5x = 20
x = 4
3.5 x 10^3 divided by 7 x 10^-2
Answer:
5 · \(10^{4}\)
Step-by-step explanation:
(✿◡‿◡) <--- she wants Brainliest
Answer: 3.5 times 10^3 is the same as 3.5 times 1000 so you get 3,500 now 7 times 10^-2 is the same as 7 times 1/100 and you get 7/100 so now we can divide 3,500 divided by 7/100 and we get 50,000
Step-by-step explanation:
A theater sold 379 tickets to a movie. Of those, 192 were children's tickets.
The rest were adult tickets. How many fewer adult tickets were sold than
children's tickets? *
Help Brainly
Answer:
5
Step-by-step explanation:
subtract 192 from 379 and you get 187 so that is for adults then subtract 187 from 192 to get the answer which is 5
it just so happens that the average weight of a nutrition student is 156 pounds. dr. naiciteid doesn't know this, so he decides to randomly sample nutrition students and he gets the following 90% confidence interval: (175.33, 263.74) lbs. what is the probability that his 90% confidence interval captured the true population average?
The probability that Dr. Naiciteid's 90% confidence interval captured the true population average is 0.90 or 90%.
A confidence interval is a range of values that is likely to contain the true population parameter. In this case, Dr. Naiciteid obtained a 90% confidence interval of (175.33, 263.74) lbs.
The confidence level of 90% means that if we were to repeat the sampling process multiple times, 90% of the intervals obtained would capture the true population average weight. In other words, there is a 90% probability that the true population average weight falls within the interval (175.33, 263.74) lbs.
Therefore, there is a 90% probability that Dr. Naiciteid's 90% confidence interval captured the true population average weight of nutrition students.
To summarize, the probability that the 90% confidence interval captured the true population average is 0.90 or 90%.
Learn more about probability: https://brainly.com/question/23417919
#SPJ11
The area of a square depends on the length of its sides. This can be written in function notation as a(s). What is the best interpretation of a(4) = 16?
A. The area of a square is always one-fourth of the side length.
B. The area of a square is always four times the side length.
C. A square with sides 4 units long has an area of 16 square units.
D. A square with sides 16 units long has an area of 4 square units.
Answer:
option d is the right answer
Based on these results, which is the most reasonable
balls she will have blocked after 8 games?
A 96
B 32
C 72
D 56
Answer:
theanswer is D.72
Step-by-step explanation:
this.is because she blocked 36 balls in the first 4 games
As per the given data, it can predict that after 8 games the number of blocks would be 72 balls. Option c is correct.
Given that,
Based on these results, which is the most reasonable balls she will have blocked after 8 games is to be determined.
The average of the values is the ratio of the total sum of values to the number of values.
Here,
Average balls blocked in 4 games = 8 + 12 + 9 + 7 / 4 = 36 / 4
= 9
For the 8 games the number of ball blocked would be = 8 × 9 = 72
Thus, as per the given data, it can predict that after 8 games the number of ball blocks would be 72 balls. Option c is correct.
Learn more about averages here:
brainly.com/question/24057012
#SPJ2
What is the value of the expression below when
w = 7 and x = 6?
5w — x
Answer:
The answer is 29
Step-by-step explanation:
5(7)-6 once you put it in the calculator you will get 29 as the answer for all of it. The w is 7 and when you place it next to the 5 you have to multiply it and then subtract it by the x which is the 6.
I hope this helps!
After substituting, the value of expression is 29.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The expression is,
⇒ 5w - x
And, w = 7 , x = 6
Since, The expression is,
⇒ 5w - x
Substitute the value of w and x, we get;
⇒ 5×7 - 6
⇒ 35 - 6
⇒ 29
Learn more about the substitution method visit:
https://brainly.com/question/25869125
#SPJ2
Which toolkit function is this ? I am always continuous and have a point of inflection at the origin. My range is from negative one to one.optionssquare root function , quadratic function, rational function , exponential function constant linear function , linears function cubic function , logarithmic function ,asbolsoute value and sine function
Step 1
Given; Which toolkit function is this? I am always continuous and have a point of inflection at the origin. My range is from a negative one to one.
Step 2
The function that is always continuous and has a point of inflection at the origin with its range going from -1 to 1 is
\(\begin{gathered} sine\text{ function} \\ Let\text{ us consider the graph of y=sinx} \end{gathered}\)\(\begin{gathered} An\:inflection\:point\:is\:a\:point\:on\:the\:graph\:at\:which\:the\:second\:\: \\ derivative\:is\:equal\:to\:zero\:or\:undefined\text{ }and\:changes\:sign \\ \mathrm{If}\:f\:''\left(x\right)>0\:\mathrm{then}\:f\left(x\right)\:\mathrm{concave\:upwards.} \\ \mathrm{If}\:f\:''\left(x\right)<0\:\mathrm{then}\:f\left(x\right)\:\mathrm{concave\:downwards.} \end{gathered}\)\(\begin{gathered} \frac{d}{dx}\left(sinx\right)=cosx \\ \frac{d}{dx}\left(cosx\right)=-sin(x) \\ -sin(x)=0 \\ x=0,y=0 \\ And\text{ the origin is \lparen0,0\rparen} \end{gathered}\)From the graph, the range is from -1 to 1.
Answer;
\(\)A teacher brought some apples to distribute among students. After distributing 19 pounds of apples, 3 pounds of apples were left. How many pounds of apples did the teacher originally bring? A. 3 B. 9 C. 16 D. 22
Answer:
19 pounds of apple was shared and 3 pounds of apple were left to be shared for the students
A
Answer:
D. 22
Step-by-step explanation:
We're looking for the sum of 19 pounds and 3 pounds. The teacher gave out 19 pounds of apples. After giving them out, they had 3 pounds left of the total. To find the total, we need to add those amounts:
19 + 3 = 22
We can check our answer by doing this:
22 - 19 = 3
As you can see, if you had 22 pounds of apples and gave out 19 pounds, you are left with 3 pounds. This is the amount left, as mentioned in the problem. The answer is D.
8. Stephanie bought a pair of earrings for $3.25 and a necklace for
$5.25. The tax rate is 8%. What is the total cost including tax?
Answer:
the answer is 9.56
Step-by-step explanation:
3.25 + 5.25 = 8.50 ÷ 8 = 1.06 + 8.50 = 9.56
hope it helps :)
Factorise : x^2-9x-70 Step by Step
Answer:
Step-by-step explanation:
x^2 - 9x - 70
we need to find two numbers whose sum is -9 and product id -17
The numbers are -14 and 5
By splitting the middle term,
x^2 - 14x + 5x - 70
= x ( x - 14 ) + 5 ( x - 14 )
( x + 5 ) ( x - 14 )
Hope this helps
Plz mark as brainliest!!!!!
Answer:
Step-by-step explanation:
Sum = -9
Product = -70
Factors = -14 , 5
x² - 9x - 70 = x² + 5x - 14x + (-14) * 5
=x(x + 5) - 14(x + 5)
= (x + 5)(x - 14)
Mathew sells half the books in his library. After
he does this, he buys 6 more books. Now he has
102 books. How many books did he have to start
with?
I need x and ML there is two answer to this! Please help me
Answer:
58
Step-by-step explanation:
\(\frac{(10x-12) + (3x+11)}{2}\) = 45
13x - 1 = 90
13x = 91
x = 7
ML = 10(7) -12 = 58
What is the image of (4,8) after a dilation by a scale factor of 1/2 centered at the origin?
help quick pls
Answer:
The answer should be (1,-2)
Step-by-step explanation:
because 4x1/4=1 and -8x1/4=-2 just divided and the answer will be (1,-2)
Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6
Answer:
x = 6
Step-by-step explanation:
4 − 2(2x − 7) = −6.
Distribute
4 -4x +14 = -6
Combine like terms
18-4x = -6
Subtract 18 from each side
18 -4x-18 = -6-18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x = 6
A multiple-choice examination has 15 questions, each with five possible answers, only one of which is correct. suppose that one of the students who takes the examination answers each of the questions with an independent random guess. what is the probability that he answers at least ten questions correctly? 0.03 0.02 0.01 0.00
The probability that the student will answer at least 10 questions correctly from a multiple-choice examination that has 15 questions, each with five possible answers and only one of which is correct is 0.00
Let P (C) = probability of a student picking a correct option is
P (C) = (Required outcome)/(Total outcome)
Required outcome = numbers of correct option
Total outcome = total numbers of option
P (C) = 1/5
Recall that
P (C) + P (C1) = 1
Where P (C1) is the probability of picking wrong option
P(C)+P(C^1 )=1
1/5+P(C^1 )=1
P(C^1 )=1-1/5
P(C^1 )=4/5
The probability of answering at least 10 questions correctly can be solved by using Binomial probability which states that
P(x)=(nCx) (p)^x (q)^(n-x)
P(x) is the probability of an event
n is the number of trial (15)
x number of specific outcome
p is the probability that the event will happen (1/5)
q is the probability that the event will not happen (4/5)
Probability of answering at least 10 questions correctly will be
P(10) + P(11) + P(12) + P(13) +P(14) + P(15)
P(x)=(nCx) (p)^x (q)^(n-x)
P(10)=(15C10) (1/5)^10 (4/5)^(15-10)
P(10)=(15C10) (1/5)^10 (4/5)^5
15C10=15!/((15-10)!(10!))
15C10=15!/((5)!(10!))
15C10=1307674368000/((120)(3628800))
15C10=1307674368000/43545600
15C10=3003
P(10)=(3003) (0.2)^10 (0.8)^5
P(10)=(3003)(1.024×〖10〗^(-7))(0.32768)
P(10)=0.0001
P(11)=(15C11) (1/5)^11 (4/5)^(15-11)
P(11)=(15C10) (1/5)^11 (4/5)^4
15C11=15!/((15-11)!(11!))
15C11=15!/((4)!(11!))
15C11=1307674368000/((24)(39916800))
15C11=1307674368000/958003200
15C11=1365
P(11)=(1365) (0.2)^11 (0.8)^4
P(11)=(1365)(2.048×〖10〗^(-8))(0.4096)
P(11)=0.000011
P(12)=(15C12) (1/5)^12 (4/5)^(15-12)
P(12)=(15C12) (1/5)^12 (4/5)^3
15C12=15!/((15-12)!(12!))
15C12=15!/((3)!(12!))
15C12=1307674368000/((6)(479001600))
15C12=1307674368000/2874009600
15C12=455
P(12)=(455) (0.2)^12 (0.8)^3
P(12)=(455)(4.1×〖10〗^(-9))(0.512)
P(12)=0.0000009542
P(13)=(15C13) (1/5)^13 (4/5)^(15-13)
P(13)=(15C13) (1/5)^13 (4/5)^2
15C13=15!/((15-13)!(13!))
15C13=15!/((2)!(13!))
15C13=1307674368000/((2)(6227020800))
15C13=1307674368000/12454041600
15C13=105
P(13)=(105) (0.2)^13 (0.8)^2
P(13)=(105)(8.19×〖10〗^(-10))(0.64)
P(13)=0.00000005505
P(14)=(15C14) (1/5)^14 (4/5)^(15-14)
P(14)=(15C14) (1/5)^14 (4/5)^1
15C14=15!/((15-14)!(14!))
15C14=15!/((1)!(14!))
15C14=1307674368000/((1)(87178291200))
15C14=1307674368000/87178291200
15C14=15
P(14)=(15) (0.2)^14 (0.8)^1
P(14)=(15)(1.638×〖10〗^(-10))(0.8)
P(14)=0.00000000197
P(15)=(15C15) (1/5)^15 (4/5)^(15-15)
P(15)=(15C15) (1/5)^15 (4/5)^0
15C15=15!/((15-15)!(15!))
15C15=15!/((0)!(15!))
15C15=1307674368000/((1)(1307674368000))
15C15=1307674368000/1307674368000
15C15=1
P(15)=(1) (0.2)^15 (0.8)^0
P(15)=(1)(3.277×〖10〗^(-13))(1)
P(15)=3.277×〖10〗^(-13)
Probability of answering at least 10 questions correctly will be
P(10) + P(11) + P(12) + P(13) +P(14) + P(15)
P (at least 10)=0.0001+0.000011+ 0.0000009542+0.00000005505+0.00000000197+ 3.277×〖10〗^(-13)
P (at least 10)=0.00011250667
Approximately
P (at least 10)=0.0001
To learn more about probability. Click, https://brainly.com/question/6712279
#SPJ4
What is the inverse funtion of F F(x)= 3-x/7
A. F-1(x)=3-7x
B. F-1(x)= 7+x/3
C. F-1(x)=3- x/7
D. F-1(x)= 7x - 3
Answer:
Replace y with f−1(x) f - 1 ( x ) to show the final answer. Verify if f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7
Step-by-step explanation:
Match each situation on the left to its correct exponential growth or decay factor on the right.
Answer:
See attachment.
Step-by-step explanation:
Each percentage was either subtracted from ("decrease") or added to ("Increase") a starting value of 1. The ones that match the numbers are highlighted in yellow. The situation is noted in the left column.
Problem 8 A water bug with 8 legs is balanced on lake surface with a σ=0.073 N/m. Given each leg is 5 mm in length, what is the maximum mass (g) of the bug to avoid sinking.
The maximum mass of the water bug to avoid sinking is approximately 0.079 grams.
To determine the maximum mass of the water bug that avoids sinking, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the bug.
Calculate the volume of water displaced:
The bug's weight is balanced by the buoyant force, so the volume of water displaced is equal to the volume of the bug.
Each leg has a length of 5 mm, which means the total height of the bug is 5 mm. Assuming the cross-sectional area of the bug is constant along its height, we can use the formula for the volume of a cylinder to calculate the volume:
Volume = π * radius^2 * height
Since each leg is cylindrical, the radius would be half the leg's diameter, which is 5 mm (or 0.005 m).
Therefore, the volume of water displaced by the bug is:
Volume = π * (0.005 m)^2 * 0.005 m
Calculate the weight of the water displaced:
The weight of the water displaced is equal to the buoyant force acting on the bug.
Weight of water displaced = density of water * volume of water displaced * acceleration due to gravity
The density of water is approximately 1000 kg/m³, and the acceleration due to gravity is approximately 9.8 m/s².
So, the weight of the water displaced is:
Weight of water displaced = 1000 kg/m³ * Volume * 9.8 m/s²
Calculate the maximum mass of the bug:
The maximum mass of the bug is the mass at which its weight equals the weight of the water displaced:
Maximum mass = Weight of water displaced / acceleration due to gravity
Maximum mass = (1000 kg/m³ * Volume * 9.8 m/s²) / 9.8 m/s²
Now, let's plug in the values and calculate the maximum mass of the bug:
python
import math
radius = 0.005 # in meters (5 mm)
height = 0.005 # in meters (5 mm)
density_water = 1000 # in kg/m³
acceleration_due_to_gravity = 9.8 # in m/s²
volume = math.pi * radius**2 * height
weight_of_water_displaced = density_water * volume * acceleration_due_to_gravity
maximum_mass = weight_of_water_displaced / acceleration_due_to_gravity
maximum_mass_grams = maximum_mass * 1000 # converting to grams
print("Maximum mass of the bug to avoid sinking:", maximum_mass_grams, "grams")
Using the above calculations, the maximum mass of the water bug to avoid sinking is approximately 0.079 grams.
Learn more about approximately from
https://brainly.com/question/27894163
#SPJ11
Bob walks 8/10 of a kilometer to school each day. How many kilometers does bob walk to school in 5 days ?
Answer:
4 in 5 days
Step-by-step explanation:
The coordinates of the vertices of trapezoid ABCD are A(2, 6), B(5, 6), C(7, 1), and D(−1, 1). The coordinates of the vertices of trapezoid A′B′C′D′ are A′(−6, −2), B′(−6, −5), C′(−1, −7), and D′(−1, 1). Which statement correctly describes the relationship between trapezoid ABCD and trapezoid A′B′C′D′? Responses Trapezoid ABCD is congruent to trapezoid A′B′C′D′ because you can map trapezoid ABCD to trapezoid A′B′C′D′ by reflecting it across the x-axis and then across the y-axis, which is a sequence of rigid motions. trapezoid A B C D, is congruent to , trapezoid A prime B prime C prime D prime, because you can map , trapezoid A B C D, to , trapezoid A prime B prime C prime D prime, by reflecting it across the , x, -axis and then across the , y, -axis, which is a sequence of rigid motions. Trapezoid ABCD is congruent to trapezoid A′B′C′D′ because you can map trapezoid ABCD to trapezoid A′B′C′D′ by rotating it 180° about the origin and then translating it 4 units left, which is a sequence of rigid motions. trapezoid A B C D, is congruent to , trapezoid A prime B prime C prime D prime, because you can map , trapezoid A B C D, to , trapezoid A prime B prime C prime D prime, by rotating it 180° about the origin and then translating it 4 units left, which is a sequence of rigid motions. Trapezoid ABCD is congruent to trapezoid A′B′C′D′ because you can map trapezoid ABCD to trapezoid A′B′C′D′ by reflecting it across the x-axis and then rotating it 90° clockwise, which is a sequence of rigid motions. trapezoid A B C D is congruent to trapezoid A prime B prime C prime D prime because you can map trapezoid A B C D to trapezoid A prime B prime C prime D prime by reflecting it across the x -axis and then rotating it 90° clockwise, which is a sequence of rigid motions., Trapezoid ABCD is not congruent to trapezoid A′B′C′D′ because there is no sequence of rigid motions that maps trapezoid ABCD to trapezoid A′B′C′D′.
The statement which correctly describes the relationship between trapezoid ABCD and trapezoid A'B'C'D' is "Trapezoid ABCD ≅ trapezoid A'B'C'D'.
The correct answer option is option C
What is the relationship between trapezoid ABCD and trapezoid A'B'C'D' ?The coordinates of the vertices of trapezoid ABCD are A (2,6), B (5,6), C (7,1), and D (-1,1).
The coordinates of the vertices of trapezoid A'B'C'D' are A' (-6, -2),B' (-6, -5), C' (-1, -7), and D' (-1, 1).
Given trapezoid ABCD:
Parent coordinates of ABCD = A (2,6), B (5,6), C (7,1), and D (-1,1)
Translated coordinates of A'B'C'D' = A' (-6, -2),B' (-6, -5), C' (-1, -7), and D' (-1, 1).
Based on the reflection rule:
Reflection across x axis (x , y) -> ( x , -y) and rotating it 90°clockwise (x , y) -> ( -y, x).
Therefore, if trapezoid ABCD is reflected across the x-axis and then rotating it 90°clockwise
ABCD ≅ trapezoid A'B'C'D'
Complete question:
The coordinates of the vertices of trapezoid ABCD are A (2,6), B (5,6), C (7,1), and D (-1,1). The coordinates of the vertices of trapezoid A'B'C'D' are A' (-6, -2),B' (-6, -5), C' (-1, -7), and D' (-1, 1). Which statement correctly describes the relationship between trapezoid ABCD and trapezoid A'B'C'D' ?
A. Trapezoid ABCD ≅ trapezoid A'B'C'D'
You can reflect trapezoid ABCD across the x-axis and then across the y-axis.
B. Trapezoid ABCD ≅ trapezoid A'B'C'D'
You can rotate trapezoid ABCD 180°about the origin and then translating it 4 units left.
C. Trapezoid ABCD ≅ trapezoid A'B'C'D'
You can reflect trapezoid ABCD across the x-axis and then rotating it 90°clockwise.
Read more on trapezoid:
https://brainly.com/question/11804542
#SPJ1
a coin that has probability p of turning up h on any single flip is tossed independently n times and the number of tosses n on which h turned up is recorded. the coin is then flipped n times and the number of times that h showed up, say n0 is recorded again. find e(n n0 ) and var(n n0 ).
To find e(n n0), you multiply e(n) by p.
To find var(n n0), you calculate var(n) and add n times the difference between var(n0) and p^2.
To find e(n n0) and var(n n0), we need to use the binomial distribution formula.
Let's break it down step by step.
1. The probability of getting heads (h) on any single flip is given as p.
2. The number of tosses (n) on which h turned up is recorded.
3. The coin is then flipped n times and the number of times h showed up, n0, is recorded again.
Now, let's find e(n n0) (the expected value):
1. The expected value of n0 is given by e(n0) = n * p, as the probability of getting heads on any single flip is p.
2. The expected value of n is given by e(n) = n * p, as the probability of getting heads on any single flip is p.
3. Now, we can find e(n n0) by using the formula: e(n n0) = e(n) * p
To know more about variance visit :
https://brainly.com/question/31432390
#SPJ11
write 3450 in scientific notation form. b) write 234 x 10^16 in standard form. c) Population of kuwait is 2.4million. It is 4/5 population of Hong Kong. Calculate the population of kuwiat as percentage of Hong kong population.
Answer:
a; 3.45 * 10^3
b) 2.34 * 10^18
c) 80%
Step-by-step explanation:
a) 3450 in standard form
To write in standard form, we have to place a decimal at the back of the first non-zero number
we have this as ;
3.450
The count of numbers after the decimal point is 3
This will be the power to which 10 will be raised
We have this as;
3.45 * 10^3
b) 234 * 10^16
Let us write 234 in standard form
That will be;
234 = 2.34 * 10^2
So we have ;
2.34 * 10^2 * 10^16
Using the law of indices, we have;
2.34 * 10^(2 + 16) = 2.34 * 10^18
c) From the question, Kuwait is 4/5 of Hong kong’s population
Let Honk Kong’s population be x
4/5 * x = 2.4 million
4x = 5 * 2.4 million
x = 5 * 2.4/4
x = 5 * 0.6
x = 3 million
so writing the population of Kuwait as a percentage of that of Hong kong, we have
2.4/3 * 100%
= 0.8 * 100% = 80%
Complete the following proofs.
Given: Points R, S, T, Q on circle O
Prove: m Arc RS + m Arc ST + m Arc TQ = m Arc RQ
Answer:
Points R, S, T, Q on circle O is given
and points are central arc
Step-by-step explanation:
For the solved question below, I am still unclear on how the PV Factor is figured out. What is the PV Factor formula?
The PV factor formula is given below: The formula for PV factor is: PV Factor = [1 - (1 + r)⁻ⁿ] / r
where r = discount rate, and n = number of periods.
PV factor can be used to calculate the present value of an annuity. If the amount of each payment and the number of periods are known, the present value of the annuity can be calculated using the following formula:
Present value of annuity = Payment × PV factor.
For example, suppose that you have an annuity that pays $1,000 per year for 5 years.
The discount rate is 8%. We can calculate the PV factor using the formula:
PV factor = [1 - (1 + r)⁻ⁿ] / r= [1 - (1 + 0.08)⁻⁵] / 0.08= 3.9936
The present value of the annuity can be calculated by multiplying the payment by the PV factor:
Present value of annuity = Payment × PV factor= $1,000 × 3.9936= $3,993.6
Therefore, the present value of the annuity is $3,993.6.
To know more about formula refer to:
https://brainly.com/question/30098467
#SPJ11