Rounding off the answer to the nearest dollar, the amount in the account at the end of 10 years is $377,453.
Given that money is transferred continuously into an account at the constant rate of $230,000 per year, and the account earns interest at the annual rate of 3.7% compounded continuously.
We are to find how much will be in the account at the end of 10 years.
To solve this question, we can use the formula for continuous compound interest, which is given as;
A = Pert,
where
A = the balance in the account at the end of the investment period
P = the principal amount (the initial amount invested)
exp = is Euler’s constant ≈ 2.71828
r = the annual interest rate expressed as a decimal
t = the time the money is invested
Using the formula above to solve the question;
P = $230,000r = 0.037
t = 10 years
A = Pert
A = $230000 * e(0.037*10)A = $377,453.06
Rounding off the answer to the nearest dollar, the amount in the account at the end of 10 years is $377,453.
$377,453
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how do you work out the area of a square
Answer:
A = s^2
Step-by-step explanation:
The area of a square can be found by multiplying the side by its side.
A = side x side = s^2
So if the side of a square is 3, to find the are you would multiply 3 times 3. Giving you an area of 9.
7. Solve 10x + 8 = 8x - (- 16) for x.
Answer:
Answer is 4.
x = 4
Step-by-step explanation:
Protractor postulate: given any angle, we can express its measure as a unique ______________ number from 0 to 180 degrees.
Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.
The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.
A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.
The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.
For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.
It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.
In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.
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will the sampling distribution of x overbarx always be approximately normally distributed? explain.
If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.
The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:
1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.
The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.
If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.
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Please help! Correct answer only!
For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
$ 3.60 ; Type in 3.60
Step-by-step explanation:
Consider the steps below;
\(Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars\)
Solution ; " Expected Payoff " ⇒ $ 3.60
One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x 16 is (x – 2). what are all the roots of the function? use the remainder theorem.
The factor of the function will be (x - 1), (x - 2), and (x + 2). Then the roots of the function will be 1, 2, and negative 2.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
f(x) = 4x³ - 4x² - 16x + 16
Then the factor of the function will be
f(x) = 4x²(x - 1) - 16(x - 1)
f(x) = 4(x - 1) (x² - 4)
f(x) = 4(x - 1) (x² - 2²)
f(x) = 4(x - 1)(x - 2)(x + 2)
Then the roots of the function will be
x = 1, 2, -2
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Johannes has saved $500.00 for a trip, and he plans on spending exactly $38.00 per day. If he wants to have at least $120.00 remaining at the end of his trip, find the greatest number of days his vacation can last.
Answer:No more than 10 Days
Step-by-step explanation:$500.00 - $120=$380/$38=10
solve for x. the figure is a trapezoid
Answer:
180-11x-30=140
180-170=11x
10=11x
x=10/11
Step-by-step explanation:
anna fits 22 glass figures on 4 shelves . how many shelves does she need
If andre fits 22 glass figures on 4 shelves, andre would need 16 shelves to fit 88 glass figures.
To find out how many shelves Andre needs to fit 88 glass figures, we can set up a proportion based on the ratio of the number of glass figures to the number of shelves:
22 glass figures / 4 shelves = 88 glass figures / x shelves
where x is the unknown number of shelves.
To solve for x, we can cross-multiply:
22 glass figures * x shelves = 4 shelves * 88 glass figures
Simplifying the equation, we get:
22x = 352
Dividing both sides by 22, we get:
x = 16
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Complete question is:
Andre fits 22 glass figures on 4 shelves. How many shelves does he need to fit 88 glass figures?
The super sweet company will choose from 2 companies to transport its sugar to market . the first company charges $4500 to rent trucks plus an additional fee of $150.25 for each ton of sugar . the second company charges $4092 to rent trucks plus an additional fee of $175.75 for each ton of sugar. for what amount of sugar do the two companies charge the same? what is the cost when the two companies charge the same?
The two companies will charge the same amount at $25802.99 when 141.86 tons of sugar are transported.
the second company charges $4092 to rent trucks plus an additional fee of $175.75 for each ton of sugar. for what amount of sugar do the two companies charge the same what is the cost when the two companies charge the same
Hence, we can form an equation using this information.
The total cost, C, of the first company can be expressed as:
C=150.25x+4500
he total cost, C, of the second company can be expressed as:
C=175.75x+4092
The two costs are equal at their intersection point.
Equating both expressions for C gives:
150.25x+4500=175.75x+4092
Simplifying and solving for x gives:
x = 141.86 tons (rounded to 2 decimal places)
Substitute x = 141.86 into either expression for C to determine the cost of transporting 141.86 tons of sugar.
C=175.75(141.86)+4092
= 4500 + 150.25(141.86)= $25802.99
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Select the image that is NOT a polyhedron.
Answer:
A
Step-by-step explanation:
You want the figure that is not a polyhedron.
PolyhedronA polyhedron is a solid figure with plane faces. The curved side of figure A means it is not a polyhedron.
Figure A is not a polyhedron.
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2. Marcus observed that of the games that he had bowled last week were over . What percent of his games were over ?
PLEASE HELP RIGHT NOW :(
Answer: C. and F.
Step-by-step explanation:
What is the total surface area of the figure below?
6 cm
7 cm
13.1 cm
359.1
0 275,1
400
317.1
Answer:
275.1 I'm so sorry if it is wrong dont come at me please
find the largest four-digit value of ${}t$ such that \[\sqrt{t-\sqrt{t-\sqrt{t-\sqrt{t-\cdots}}}}\]is an integer.
To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.
Let's denote the given expression as x:
x = √(t - √(t - √(t - √(t - ...)))
To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:
x = √(t - x)
Squaring both sides to eliminate the square root:
x^2 = t - x
Rearranging the equation:
x^2 + x - t = 0
To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.
By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.
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1/3x+y=4 solve for y
Which relation is a function?
A.
{(2, 3), (1, 5), (2, 7)}
B.
{(-1, 5), (-2, 6), (-3, 7)}
C.
{(11, 9), (11, 5), (9, 3)}
D.
{(3, 8), (0, 8), (3, -2)}
Answer:
B
Step-by-step explanation:
B is a function because every input has only one output.
Un conejo da un salto de 2 metros y luego uno de 3 metros hasta atravesar un Puente de 32 metros de longitud ¿Cuantos saltos de 2 metros y 3 metros realiza
Answer: 13 saltos en total, 6 de los saltos de 3 metros, 7 de los saltos de 2 metros
Step-by-step explanation:
Si sumas 2+3, suma 5 y 5 cabe en 32 6 veces con un resto 2. (2+3)6 +2 = 30 +2 = 32 metros.
why the system of si unit is developed
Step-by-step explanation:
Hi, there!!!!
The main purpose of developing si unit is to have standard unit of measurements and to bring uniformity in whole world in terms of measurements.
I hope it helps you...
This is confusing please help
Answer:
1. Range: take the difference between the highest and lowest values in a set of numbers. In this case it's 2 and 45.
2. Mean: Mean is the average of the numbers. This is pretty easy just add up all the numbers you see and divide by how many there are.
3. Median: The median is basically taking your numbers and organizing then. Then you go through and cross off every number until you get to the one number in the middle. If you have 1 answer, then that's your answer..But if you have two numbers in the middle add them up and divide by 2.
4. Mode: Mode is the value that appears most often. In this case it would be 16 and 3.
Larger (upper) and lower quartile: if you have a calculator this might help a lot when finding what you are looking for. But anyways this is for TI-84 plus calculator. Go to stat, press 1. edit, then enter your numbers, press start again, move right to calc, and press 1 again. Scroll down and press calculate, then scroll all the way down and find Q1 (lower) and Q3 (upper)
Step-by-step explanation:
Range: 45-2 = ? (I will let you solve this part yourself)
Mean: 5 + 16+ 45 + 12 + 11 + 9+ 16 + 21 + 2 + 3 + 8 + 3 + 7 + 2 + 5 = ? ÷ 15 (I believe that how many numbers there are, I can't tell)
Median: 2, 3, 3, 5, 7, 8, 9, 11, 12, 16, 16, 45, in this case you will be left with two numbers. So once you cross off the numbers and get to the middle remember to add together the middle numbers and divide by 2.
Mode: 16 and 3
Larger and lower quartile: Q1: 3 and Q3: 16
(if this isn't it try minx: 2 and maxx: 45)
I think they should help explain what you are doing and get you started. Sorry I couldn't be much more help. :)
For the data set {11, 13, 15, 15, 16, 17, 18, 19, 19, 20}, which is greater, the mean or the median?
Answer:
Median
Step-by-step explanation:
Median: (16+17)/2= 16.5
Mean: 11+13+15+15+16+17+18+19+19+20= 163
163/10= 16.3
Median is greater.
I'M SO DONE WITH BOTS SOMEONE HELP!!!!
Therefore, your answer would be "30".
Hoped this helped.
A bag of marbles contain 7 blue marbles and 13 red marbles.What percent of the marbles are red?
A. 19%
B. 35%
C. 54%
D. 65%
(PLS EXPLAIN ANSWER)
Which statements should be included when teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home
When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.
When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:
1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.
2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.
3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.
4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.
5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.
6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.
7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.
By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.
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HELP ME PLEASE!!!!!!
the answer is d (the last one) 1/6.
i hope this helps.
Answer:
C
Step-by-step explanation:
Because their's 3 with 2 shaded in
3. Based on the data within your schedule and curve, are you using your resources efficiently? Support your answer using the data presented. i used the numbers Combinations Running shoe inserts Hiking boot inserts
A 0 10
B 3 8
C 6 6
D 9 4
E 12 2
F 15 0
please help brainlyistttt
3. No, I am not using my resources very efficiently. This is because when we need to make more hiking boots you have to make fewer running shoes.
4. I would recommend for them to focus on the hiking boots more because they use less material to make them.
hope this is correct c:
Yes, my resources are being used efficiently if I choose point D, as then I will be making equal amounts of product (1 to 1 ratio).
What is a statistics?
'Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.'
According to the given problem,
This is the most efficient point by far compared to the others, because the two axes are the closest together out of all of the 7 points.
I would recommend that the Shoe Hut focus on both of them, as they have a perfect 1 to 1 ratio.
However, if needed, it is possible to allocate all production power towards running shoe insoles at a 15 to 0 ratio compared to hiking shoe insoles at10 to 0.
Hence, we concluded that, It would be better for the shoe hut to focus on running shoe insoles because they are easier to produce and there is less production of cost.
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HELP FAST I'LL MARK YOU BRAINLIEST
The lines represented by the equations 10y+4x = -70 and 5y + 2x = 35 are :
A perpendicular
B neither parallel nor perpendicular
C the same line
D parallel
Answer:
Parallel
Step-by-step explanation:
............
Find the equation of the line containing (2, -5) and (6, 3).
Answer:
y=2x-7
Step-by-step explanation:
first you find the slope by using point slope form.
then you use slope formula
solve this please !!!!
$16,000 was invested in the account earning 6% interest and
$10,500 was invested in the account earning 5% interest.
Given that, Ngoc invests a total of $26,500 in two accounts. The first account earned an annual interest rate of 6% and the second account earned an annual interest of 5%. At the end of one year, the total amount of money gained was $1485.
We need to find how much was invested into each account.
What are systems of equations?A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
Now,
Let x be the amount of money invested at 6% interest.
Let y be the amount of money invested at 5% interest.
Thus, x +y = 26,500-----(1) and 0.06X + 0.05Y = 1485-----(2)
Multiply 0.06 to the equation x +y = 26,500, so we get 0.06x+0.06y=1,590-----(3)
By subtracting equation (2) from (3), we get
0.01y=105
⇒y=10,500
Substituting y=$10500 in equation (1), we get x=$16,000
Therefore, $16,000 was invested in the account earning 6% interest and
$10,500 was invested in the account earning 5% interest.
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Theresa is knitting a scarf. She has already knitted 3 centimeters and will knit 1.5 centimeters each day. 4 Fill in the table with the total length of the scarf after 2 and 4 days. Number of days Length of the scarf (cm) 2 4
Answer:
6 cm
9 cm
Step-by-step explanation:
length of scarf now: 3 cm
length knitted per day: 1.5 cm
length knitted in 2 days: 2 × 1.5 cm = 3 cm
length after 2 days: 3 cm + 3 cm = 6 cm
length knitted per day: 1.5 cm
length knitted in 4 days: 4 × 1.5 cm = 6 cm
length after 4 days: 3 cm + 6 cm = 9 cm