Answer:
Step-by-step explanation:
Ana opened a bank account with $1000 that earns interest, compounded continuously, at an annual rate of r=0.02 . Money can be withdrawn from the account at regular intervals, and no additions to the account can be made. The function P models the balance of the account, in dollars, at time t. Assume that Ana withdraws money from the account continuously at a rate of N dollars per year.
Required:
Write down the differential equations that best describes the relationship between P and t?
Answer:
dp/dt = 0.02P-N
Step-by-step explanation:
[tex]\frac{p(t+t)}{nt}[/tex]
The differential equation that describes the relationship between P and t is:
dP/dt = rP - N
where P is the balance in dollars, t is time in years, r is the annual interest rate, and N is the rate of withdrawals in dollars per year.
What is a differential equation ?A differential equation is an equation that relates an unknown function to its derivatives (or differentials) with respect to one or more independent variables. In other words, it is an equation that involves derivatives of an unknown function.
The rate of change of the balance P in the bank account is equal to the difference between the rate of interest earned on the account and the rate at which money is withdrawn from the account.
The rate of interest earned on the account is given by the continuous compounding formula:
dP/dt = rP
where r is the annual interest rate, P is the balance in dollars, and dP/dt is the rate of change of P with respect to time.
On the other hand, the rate at which money is withdrawn from the account is given by the expression:
dN/dt = N/T
where N is the rate of withdrawals in dollars per year, and T is the time interval in years between withdrawals.
If we assume that Ana withdraws money from the account continuously at a rate of N dollars per year, we can write:
N = dN/dt
Substituting this into the first equation, we get:
dP/dt = rP - dN/dt
Substituting the expression for dN/dt, we get:
dP/dt = rP - N/T
Simplifying, we get:
dP/dt = rP - N
which is the differential equation that describes the relationship between P and t.
The differential equation
dP/dt = rP - N
Find more on differential equation:
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Y-Coordinate
What is the Y-coordinate for each point below? The
y-coordinates are your code. (Use decimals where applicable.)
D
A
B
-2
]]]]
A
D
2 3
4
The numbers together form your code
Answer:
A = -2
B = 2
C = 2
D = 3
Step-by-step explanation:
those are the y- coordinates
14x+5y=31
2x−3y=−29
Answer:
x = -1, y = 0=9
Step-by-step explanation:
Multiply the second equation by 7 and subtract the two.
14 x + 5 y = 31
- (14 x - 21 y = -203)
This gives 26 y = 234. Divide both sides by 26. y = 9
Then substitute y into any equation. I'll use
2 x - 3 y = -29
2 x -3(9) = -29
2 x - 27 = -29
2 x = -2
x = -1
What did E=MC squared stand for
Answer:
[tex]{\huge\red{\fbox{{E = mc² }}}}[/tex]
✏ E = mc² stands for -> Energy equals mass times the speed of light squared.
✏ On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.
Answer:
✏ E = mc² stands for -> Energy equals mass times the speed of light squared.
✏ On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.
Use the graph of the polynomial function. What are the zeros
Of the polynomial
A{-2}
B{3,-1,4}
C{-3,1,4}
D{2}
Answer:
B
Step-by-step explanation:
Whenever the curved line touches the x-axis that will be the zeros of the function.
Can someone please actually help with with this problem?
Answer:
(a)
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ {P(x)} & {0} & {4} & {8} & {12} & {16}& {20} & {24} \ \end{array}[/tex]
(b)
[tex]P(x) = 4x[/tex]
(c)
See attachment for graph
Step-by-step explanation:
Given
P(x) = Perimeter of square
Solving (a): Complete the table
The perimeter of a square is:
[tex]P =4x[/tex]
so, the table will be completed by multiplying each value of x by 4.
So, we have:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ {P(x)} & {0} & {4} & {8} & {12} & {16}& {20} & {24} \ \end{array}[/tex]
Solving (b): The equation
This has already been stated in (a)
[tex]P(x) = 4x[/tex]
Solving (c): The graph
See attachment for graph
GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.
Answer:
283.5
Step-by-step explanation:
Asking for help again
Answer: D. (7, 0)
Step-by-step explanation:
[tex]4x+9y=28\\-4x-y=-28[/tex] The xs can already cancel since 4x is positive for the first equation, but negative on the second.Add the equations together8y=0Divide both sides by 8 y=0Plug y into one of the equations4x + 9(0)=28Distribute 04x=28Divide both sides by 4x= 7So your answer is (7, 0)
14. The Manilow family paid their electric bill using balanced billing all last year. The monthly
payment was m dollars. At the end of the year, the electric company told them they used more
electricity than they were billed for, and they owed d dollars. Express the value of the electricity
used by the Manilows last year algebraically.
Z
Answer:
12mx
Step-by-step explanation:
Given that
The monthly payment was m dollars
And, they used more electricity
We need to determine the value that should be expressed in algebraically
The Monthly payment is m dollars
Using balance billing, it would be mx dollars
So, the equation is
= mx × 12
= 12mx
hence, the same would be relevant and considered too
A new pair of shoes is advertised for $110. The sales tax is 7.5%. What is the total cost of the shoes?
Answer:
$118.25
Step-by-step explanation:
Always convert the percentage to a decimal by moving the decimal two points to the right/dividing by 100. So 7.5 % = 0.075
110 x 0.075 = 8.25 (the amount of tax added)
110 + 8.25 = 118.25
You can also multiply 110 by 1.075, where the "1" is the $110 and the ".075" is the tax, and save the step of adding. 110 x 1.075 = 118.25
PLEASE HELP ME TO ANSWER THIS QUESTION.
A right pyramid PQRST has a rectangular base QRST. Given
that W is the midpoint of QS and RT, the lengths of QT = 8 cm,
TS = 6 cm and point P is vertically above point W, calculate
(a) PT, in cm, if PW = 12 cm
(b) the value of < PTR [angle PTR]
THANK YOU!!!
Answer:
(a) PT = 13 cm
(b) <PTR = [tex]39.7^{o}[/tex]
Step-by-step explanation:
(a) Applying the Pythagoras theorem to QST, we have;
[tex]QS^{2}[/tex] = [tex]ST^{2}[/tex] + [tex]QT^{2}[/tex]
= [tex]6^{2}[/tex] + [tex]8^{2}[/tex]
[tex]QS^{2}[/tex] = 36 + 64
100
QS = [tex]\sqrt{100}[/tex]
= 10
QS = 10 cm
Since QS = TR, then;
WT = [tex]\frac{1}{2}[/tex] TR
= [tex]\frac{1}{2}[/tex] x 10
WT = 5 cm
Thus, applying Pathagoras theorem to PWT;
[tex]PT^{2}[/tex] = [tex]PW^{2}[/tex] + [tex]WT^{2}[/tex]
= [tex]12^{2}[/tex] + [tex]5^{2}[/tex]
= 144 + 25
[tex]PT^{2}[/tex] = 169
PT = [tex]\sqrt{169}[/tex]
= 13
PT = 13 cm
(b) To determine <PTR, TR = 10 cm. Apply the required trigonometric function;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos θ = [tex]\frac{10}{13}[/tex]
= 0.7692
θ = [tex]Cos^{-1}[/tex] 0.7692
= 39.7179
θ = [tex]39.7^{o}[/tex]
Therefore, <PTR = [tex]39.7^{o}[/tex]
What type of correlation is shown in the graph?
Answer:
no correlation
Step-by-step explanation:
it shows no trend or a line thing
also i think your pic is upside down haha
Triangle ABC is inscribed in a circle O. What is the measure of Angle A?
Answer:
answer is 40 degree
Step-by-step explanation:
hope it helps!!!
Which of the following is NOT an example of a random sample? A. Placing the names of 500 people in the target population in a box and drawing 50 names without looking. B. Choosing a name at random from a list of 500 people in the target population and then choosing every fifth person on the list after that. C. Dividing a list of names in the target population by age and randomly selecting a proportional sample from each group. D. Starting with a list of 500 names in the target population and choosing the first 50 names on the list.
Answer:
B
Step-by-step explanation:
If it's not D, and I also learned it isn't C, then It's more than likley gonna be B. I think bc they vote every 5th person after the random.
Hope It Help :)
B. Choosing a name at random from a list of 500 people in the target population and then choosing every fifth person on the list after that.
What is random sample?In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.
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Can somebody tell me which one of these options do I put? (I need to put two)
Answer:
B D and E
Step-by-step explanation:
Expressions do not contain equal signs
The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.
Question Completion:
Suppose that
H subscript o : mu less or equal than 0.01
H subscript alpha : mu greater than 0.01
The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.
A. maximize the power of the test
B. maximize beta
C. minimize mu
D. maximize the significance, alpha
E. maximize 1 minus alpha
Answer:
In this case you would want to _____.
D. maximize the significance, alpha
Step-by-step explanation:
The alpha (α) denotes the significance level or the probability of rejecting the initial or null hypothesis when it is true.
A higher alpha (α) reduces the probability of committing a Type II error or not rejecting the null hypothesis. On the other hand, a higher alpha (α) makes it more probable to reject a null hypothesis when it is true (Type I error).
You roll a six-sided die. How likely is it that you roll a number greater than 6?
impossible
impossible
likely
likely
Answer:
Impossible (0/6)
Step-by-step explanation:
A single six-sided die has:
1, 2, 3, 4, 5, 6.
It is impossible to roll a number greater than 6 because there is no number greater than 6 on a six-sided die.
Please solve using the tangent formula(real answers only no links)
Answer:
x = 21.06 units
Step-by-step explanation:
Given that,
Base, b = 20
Height, h = x
Angle = 36
We need to find the value of x. Trigonometric formulas are used to solve such problems such that,
[tex]\tan(36)=\dfrac{x}{29}\\\\x=29\times \tan(36)\\\\x=21.06[/tex]
So, the value of x is equal to 21.06 units.
4x<-2 como se desarrolla esta desigualdad
Answer:
x<-0.5
Step-by-step explanation:
Help ASAP 6x - 3(2 – 3x)
Answer:
First: we expand
6x-(6-9x)
Then we simplify
6x-6+9x
Collect like terms
(6x+9x)-6
Simplify:
15x-6
The answer is 15x-6
help me pls i have been stuck on this for the past hour
Answer:
-4, -6, -3, -5, -1. The inequality solved for n is n ≥ -6.
Step-by-step explanation:
Substitute all the values in the equation.
n/2 ≥ -3
-10/2 ≥ -3
-5 is not ≥ -3.
n/2 ≥ -3
-7/2 ≥ -3
-3.5 is not ≥ -3.
n/2 ≥ -3
-4/2 ≥ -3
-2 is ≥ -3.
n/2 ≥ -3
-9/2 ≥ -3
-4.5 is not ≥ -3.
n/2 ≥ -3
-6/2 ≥ -3
-3 is ≥ -3.
n/2 ≥ -3
-3/2 ≥ -3
-1.5 is ≥ -3.
n/2 ≥ -3
-8/2 ≥ -3
-4 is not ≥ -3.
n/2 ≥ -3
-5/2 ≥ -3
-2.5 is ≥ -3.
n/2 ≥ -3
-2/2 ≥ -3
-1 is ≥ -3.
To solve the inequality n/2 ≥ -3 for n, do these steps.
n/2 ≥ -3
Multiply by 2.
n ≥ -6.
Need help finding the answer
9514 1404 393
Answer:
x = 5
FD = 22
Step-by-step explanation:
The products of the segment lengths on the same chord are the same.
8×15 = 12×(3x -5)
10 = 3x -5 . . . . . . . divide by 12 (we use this value to find FD)
15 = 3x
5 = x
__
FD = (3x -5) +12 = 10 +12
FD = 22
Can someone please help me
Answer: 120cm squared
Step-by-step explanation: To do this you can cut off one of the 'triangle ends' on the trapezoid and add it to the other side to make a rectangle. Since the top is 10cm, each triangle will have a base of 5cm, so the bases will be 15cm when you subtract 20-5. Then you just have 8 * 15 which is 120cm SQUARED. This may have been a little confusing so i attachecd a diagram.
Micah is flying a kite and has used all of the 50 meters of the string. If the kite is 13 meters above the ground, what is the angle of elevation that
the boy has when looking up at the kite?
Sketch a picture and solve. Round to the nearest degree.
ILL MARK YOU THE BRANLIEST ANSWER IF YOU ANSWER FAST PLEASE
Answer:
37
Step-by-step explanation:
I believe you subtract the meters to the meters above the ground
I need help with this math problem
I need help I need the answer
Answer:
(4,4)
Step-by-step explanation:
because it's right in between the school and bank therefore equal distance to both
Answer:
(6,8)
Step-by-step explanation:
the same distance from bank to school (sorry if im wrong)
Please help with this question it is due today I will give 20 points. Thank you and may God bless you! :)
I would say A but please wait for someone else to answer to make sure it's not wrong I would hate for you to get this wrong
If l || m, determine what type of angles they are and find the value of x.
(50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.
Students were asked to find the median of this data set.
Darcy said, "The median is the number in the middle of the list. So, the median is 21."
Darcy made a mistake.
Her mistake is that she did not _____
A) choose the data point that is in the data set most often
B) order the data points from least to greatest before finding the middle data point
C) ignore the data points that repeat in the data set
D) divide the middle data point by the total number of data points
,
The correct median of the data set is ___
A) 14
B) 16
C) 15
D) 14.5
E) 15.5
Answer:
The answer is B. The correct median of the data set is C, 15.
Step-by-step explanation:
To do a quick recap:
Mode is the average value that is found by adding up all the values and dividing them by the number of values you used.
Median is the number found in the very middle, so Darcy is correct about what a median is.
Mode is the number that appears most.
Notice that the numbers are not arranged in numerical order from least to greatest. She just took the number that she saw in the middle, without considering where it would stand if the numbers were ranked from least to most.
Here's a ranking of all the numbers from least to greatest:
8, 9, 9, 12, 13, 14, 15, 15, 16, 16, 16, 17, 21
From this ranking, we can see that there are a total of 13 numbers. Therefore, the 7th number is the median, which means that the median is 15.
Answer:
as the person before me said, it is b and 15.
Step-by-step explanation:
i know study island can be hard but keep going, you can do it!
Amy spent $42 on breakfast for her family. She gave the waiter an 18% tip. What is the tip?