We have a value function of a machine at the end of the year t that is:
[tex]V=C(1-r)^t[/tex]We know that C = 1038 and r = 0.28.
We have to calcula the value of the machine after 4 years (t = 4).
Then, we replace the parameters with their values and calculate V as:
[tex]\begin{gathered} V(t)=C(1-r)^t \\ V(4)=1038\cdot(1-0.28)^4 \\ V(4)=1038\cdot0.72^4 \\ V(4)=1038\cdot0.26873856 \\ V(4)\approx278.95 \end{gathered}[/tex]Answer: the value is $278.95.
Week 10 Quiz Version A The Zero Product Property is used to find the zeros (or ti the graph will cross the O X-axis © y-axis O z-axis o origin
The roots of a equation are the points where the graph intersects the x-axis. The answer is the first option.
what is 2.405 and 1.537 as a fraction to the simplest form
Answer:
2.405 = 481/200 or 2 81/200
1.537 = 1537/1000 or 1 537/1000
Step-by-step explanation:
Hope it helps:)
Answer:
2.405 = 481/200 or 2 81/200
1.537 = 1537/1000 or 1 537/1000
Step-by-step explanation:
What is the Associative Property of Addition?The Associative Property of Addition states that when multiplying a number times the sum of two other numbers, that number can be multiplied by each of the numbers in the sum first and then added together.The Associative Property of Addition states that when adding three or more numbers, the order in which they are added is important.The Associative Property of Addition states that when adding numbers, the order can be reversed.The Associative Property of Addition states that when adding three or more numbers, they can be grouped in any way and the result will remain the same.
The associative property of addition states that when adding numbers, the order can be reversed.
The associative property of addition says that changing the grouping of the addends does not change the sum.
For example -
[tex](3+5)+4=3+(5+4)[/tex]Therefore, the given option (c) is correct.
5÷1/12 write your answer in the simplest form.
Answer:60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
QUESTION 1Given a n x m matrix A and m X p matrix B, if AB = 0 then A = 0 or B = 0.TrueFalseQUESTION 2Given an xm matrix A,an n x n identity matrix I, exists such that I, A = Al, = A.TrueFalse
Given:
[tex]A_{n\times m},B_{m\times p}[/tex]If AB = 0,
Then it is not necessary that A=0 or B=0
To prove this, we consider an example:
Let n=m = p =2
Then AB is given as:
Clearly AB= 0 but A,B not equals to zero.
Hence, the given statement is not true.
Hence, the answer is false.
A rectangular prism has a volume of 384 cubic inches. Find the height of the prism.h= ____ in
Rectangular prism volume: base length x base width x height
By looking at the image we can see that the height of the prism is 13cm.
To obtain the result in inches, divide by 2.54
13/2.54 = 5.12 inn inche
Can anyone tell me the answer to this problem in my picture if so ill give a high reward
Answer:
10x1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:[tex]10*4\7= \frac{40}{7} \\=5.714285714 \\\\ 10*\frac{10}{2}\\ \frac{10}{2}\\ =5 \\\\10*4\frac{2}{3} = 10*\frac{14}{3}\\\\ \frac{140}{3} = 46.66666667\\\\10*\frac{3}{4}=\\\\ \frac{30}{4} = 7.5\\\\10*\frac{9}{8}=\\\\\frac{90}{8} = 11.25\\ \\\\10X\frac{4}{7} , 10X\frac{3}{4} is the answer[/tex]
Anna saved $40 each month from babbysitting for 1 and 1/4 years. She spends 70% of her savings on a computer
how much money does she have left
( write the answer as a decimal to 2 places.)
The money left for Anna is $180 which was earned by babysitting for 15 months.
What is meant by the term percentage?To calculate a percentage, divide the value by the total value and multiply the result by 100.For the given question;
Monthly saving of Anna is $40.
Total time of babysitting is 1 and 1/4 years.
Total time = 5/4 years = 15 months.
Total money saved = 15 × $40 = $600.
70% of the money is spent
Thus, 30 % money is left.
Find 30% of $600
= 30 × 600/ 100
= $180.
Thus, the money left for Anna is $180 which was earned by babysitting for 15 months.
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Help with problem and pick if it is odd or even
Since
[tex]f(x)=-x^4+x^3+2x+x+1[/tex]even degree function, it will have an even number of real zeros, and, since it has a degree of 4, there will be 4, 2 or 0 real zeroes
Choose the line perpendicular to the following equation through the given point
Answer:
y=-1/2x+1
Step-by-step explanation:
perpendicular is when the gradient of the existing equation is reciprocated (swapped sides and flipped)
new gradient- -1/2
so our new equation is y=-1/2x+c
we have the co-ordinates for x and y so substitute into new equation
1=(-1/2 x 0) + c
so c=1
Hence our equation is : y=-1/2x+1
I need to help with the page I attached below!
Nishnat can trade box tops only for printer.
Nishant keeps the box tops in 38 folders.
Each folder contains 80 box tops.
Number of box tops nishant has = number of folders x number of box tops in each folder
Number of box tops nishant has = 38 x 80
Number of box tops nishant has = 3040
For printer, he needs 1500 box tops
1500 < 3040
So, he can trade box tops for a printer.
For digital camera, he needs 3500 box tops
3500 > 3040
So, he can not trade box tops for a digital camera.
For tablet computer, he needs 5000 box tops
5000 > 3040
So, he cannot trade box tops for a tablet computer,
Therefore, Nishnat can trade box tops only for printer.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
دیا
A new restaurant just opened up in your
neighborhood. One soda costs $2.75, and five
sodas cost $13.75. Is the cost a proportional or
non-proportional relationship?
proportional
not enough information
non-proportional
The cost for the soda is proportional.
How to calculate the value?For there to be a proportional relationship, there must be a constant.
In this case, one soda costs $2.75.
Also, five sodas cost $13.75. The cost per soda will be:
= $13.75 / 5
= $2.75
Since the values of $2.75 are the same, it has a proportional relationship.
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in the figure below, $3$ of the $6$ disks are to be painted blue, $2$ are to be painted red, and $1$ is to be painted green. two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. how many different paintings are possible?'
two paintings that can be obtained from one another by a rotation or a reflection of the entire figure are considered the same. then 12 different paintings are possible
First we figure out the number of ways to put the $3$ blue disks.
Denote the spots to put the disks as $1-6$ from left to right, top to bottom.
The cases to put the blue disks are $(1,2,3),(1,2,4),(1,2,5),(1,2,6),(2,3,5),(1,4,6)$.
For each of those cases we can easily figure out the number of ways for each case, so the total amount is $2+2+3+3+1+1 = (D) 12$
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What is the value of x in: [tex] log_{2}(x) - 3 = 1[/tex]a) 2²b) 2³c) 2⁴d) 2¹
Add 3 to both sides:
[tex]\begin{gathered} \log _2(x)-3+3=1+3 \\ \log _2(x)=4 \\ 2^{\log _2(x)}=2^4 \\ x=2^4 \end{gathered}[/tex]Using the remainder theorem, what is f (3)when f (x) = −2x^4 + 9x² + 2x + 10? O-92 O -65 O 43 O 73
Answer:
Look at this attachment and it may help you
Step-by-step explanation:
Answer:
-64
Step-by-step explanation:
took the test
UBTRACT THE INTEGERS AN PE YOUR ANSWER IN THE BC -34 - 55
-34-55
Since both numbers are negative, we simply have to add the numbers and the result will be negative.
-89
Find the number for n that makes this equation
true:
205
n(8-3)+7(9 + 1) = 7(9 + 1) + 2(1 + 4)
a) 5 b) 70
c) 2
d) 20
What number is in
If you solve this fast I’ll name you brainliest So pls help me
Answer:
x = 23
y = 119
Step-by-step explanation:
Line m is parallel to line n and the angle given as 61 and the angle that is represented with 4x - 31 are alternate angles and have equal measurement.
We can write the following equation based on this information:
4x - 31 = 61 add 31 to both sides
4x = 92 divide both sides by 4
x = 23
now onto y,
the angle represented with y and the angle that is represented with 4x - 31 are supplementary and their measures add up to 180:
4x - 31 + y = 180 replace x with 23
4*23 - 31 + y = 180
92 - 31 + y = 180 subtract like terms
61 + y = 180 subtract 61 from both sides
y = 119
3x + ( 8 )=4x ( 4 )
X=
Answer:
X = 8/13
Step-by-step explanation:
3x + 8 =4x 4
3x + 8 = 16x
3x + 8 - 8 = 16x - 8
3x - 16x - 8
X = 8/13
A rectangular pool is 9 meters wide and 11 meters long. If you swim diagonally from one corner to the other, how many meters will you swim? Approximate the answer to the nearest tenth.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ c=\sqrt{9^2 + 11^2}\implies c=\sqrt{202}\implies {\Large \begin{array}{llll} c\approx 14.2 \end{array}}[/tex]
pls solve dis quiz iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer: the 3 equation I think
Step-by-step explanation: Find the value of X and y be sure to do on paper or message me for this one so I can give the answer to you without solving
A jar contains only pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels. There are 90 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
If n represents of nickels in the jar, then the equation that can be used to find n is; n + 77 = 90
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Assume that n represent the number of nickels in the jar.
Given that the jar contains only , pennies, nickels, dimes, and quarters. There are 28 pennies, 26 dimes, and 23 quarters. The rest of the coins are nickels.
This means that the total number if pennies, dimes and quarters would be;
23 + 28 + 26 = 77
This means that the number of coins that are not nickel = is 77
The total number of coins in the jar is 90. Therefore, the equation that can be used to find n is;
n + 77 = 90
n = 90- 77
n = 13 nickels
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The sculptures at Mount Rushmore each measure about 60 feet from chin to forehead. For the average person, this distance is 9 inches. The average distance between a person’s ears is 6 inches. What is the ratio of a person’s chin to forehead distance compared to the distance between his ears?
The distance from the chin to the forehead is 1.5 times the distance between the ears.
The average person's chin-to-forehead distance is 9 inches, and the distance between human ears is 6 inches. You are asked to compare the distance from a person's chin to their forehead to the distance between their ears.
Calculation:-
We can express the given information as:9/6
9/6 = 1.5.
Average speed is calculated by dividing the total distance something has traveled by the total time it took to travel that distance. Velocity is how fast something is going at a given moment.
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report a stolen credit card to EFTA or PCI standards?
The correct matching of EFTA and PCI standards are:
A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
Protect credit card information.Uphold a secure network.What is Electronic Fund Transfer Act (EFTA)?The purpose of the Electronic Fund Transfer Act (EFTA), a law passed by Congress, is to safeguard consumer financial transactions made using electronic tools like debit cards and automated teller machines (ATMs).The purpose of the Payment Card Industry Data Security Standard (PCI DSS) is to guarantee that financial institutions, such as banks, have a robust and secure network architecture to safeguard clients' personal information.So, match the following as follows:
(A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
Protect credit card information.Uphold a secure network.Therefore, the correct matching of EFTA and PCI standards are:
A) EFTA
Report a debit card as stolen.Put a stop payment on automatic withdrawals.(B) PCI
Protect credit card information.Uphold a secure network.Know more about Electronic Fund Transfer Act (EFTA) here:
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Complete question:
Match the correct EFTA and PCI Standards.
report a stolen debit card
protect credit card data
place a stop payment on
recurring payments
maintain a secure network
Henry goes to the town fair.Use the prices on the photograph to complete the table.Enter the correct answer in the box.
ANSWER
$28
EXPLANATION
We have that the entry fee is $10 and for each ride, $6 must be paid.
We want to complete the table by finding the cost of 3 rides.
First, let us represent the cost of going to the fair and taking the ride.
Let the number of rides a person takes by x.
We have that the cost of taking x rides will be the entry fee plus the cost of each ride taken:
Cost = 10 + 6x
So, for taking 3 rides, it will cost:
Cost = 10 + 6(3)
Cost = 10 + 18
Cost = $28
That is the cost of taking 3 rides.
The price of Apple stock, A(X), over a 12 month period decreased and thenincreased according to the equation A(x) = x x 0, where x equals the number ofmonths. The 2 - 6 + 2 price of Baller stock B(x), increased according to theequation B(x) = 3x + 2 over the same 12-month period. When were both stockvalues the same?
The question is: When we're both stock values the same? Then all you have to do is match both equations and solve for x, like this
[tex]\begin{gathered} A(x)=x^2-6x+20 \\ B(x)=3x+2 \\ \text{ Matching you have} \\ x^2-6x+20=3x+2 \\ \text{Subtract 3x from both sides of the equation} \\ x^2-6x+20-3x=3x+2-3x \\ x^2-9x+20=2 \end{gathered}[/tex][tex]\begin{gathered} \text{Now subtract 2 from both sides of the equation} \\ x^2-9x+20-2=2-2 \\ x^2-9x+18=0 \end{gathered}[/tex]Factoring the trinomial you get
[tex]x^2-9x+18=(x-6)(x-3)=0[/tex]Which implies that
[tex]\begin{gathered} x-6=0 \\ x=6 \\ \text{ or} \\ x-3=0 \\ x=3 \end{gathered}[/tex]Therefore, since x corresponds to the number of months, then the values of the two shares were equal at 3 and at 6 months.
In this coordinate plane, the slope of line a is equal to the opposite reciprocal of the slope of line b.
Blank 1: [tex]\frac{k}{m}[/tex]
Blank 2: [tex]-\frac{k}{n}[/tex]
Blank 3: [tex]\frac{k}{m}=\frac{n}{k}[/tex]
Blank 4: [tex]\frac{KL}{KM}=\frac{KN}{KL}[/tex]
Blank 5: SAS similarity theorem
Blank 6-9: The options are needed
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
Mia has set up a lemonade stand outside her house and sells small cups and large
cups of lemonade. Each small cup holds 12 ounces of lemonade and each large cup
hold 22 ounces of lemonade. Mia sold 80 cups of lemonade totaling 1460 ounces.
Determine the number of small cups sold and the number of large cups sold.
Answer:
small cups: 30large cups: 50Step-by-step explanation:
You want the number of small (12 oz) cups and large (22 oz) cups sold if 80 total cups and 1460 ounces were sold.
SetupWe can let x represent the number of large cups sold. Then 80-x is the number of small cups sold, and the total ounces of lemonade sold are ...
12(80 -x) +22x = 1460
SolutionSimplifying the equation gives ...
960 +10x = 1460
10x = 500
x = 50
Then the number of small cups sold is ...
80 -x = 80 -50 = 30
30 small cups and 50 large cups were sold.
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