the amount of money in an account with continuously compounded interest is given by the formula A = Pert, where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest tenth of a year how long it takes for an amount of money to double if interest is compounded continuously at 5.2%. 5.9 years 13.3 years 1.3 years 0.6 years
Express 32 = x as a logarithmic equation
the answer is log3x=2!
hope this helps :D. just took a test online and this was one of the questions. got it right btw.
What is the median of 26, 30, 24, 32, 32, 31, 27, and 29? 32 29 30 29.5?
To find the median, sort the numbers in ascending order and average the two middle values. The median of the given numbers is 29.5.
To find the median of the numbers 26, 30, 24, 32, 32, 31, 27, and 29, follow these steps:
First, arrange the numbers in ascending order: 24, 26, 27, 29, 30, 31, 32, 32.Since there are 8 numbers (an even number), the median will be the average of the 4th and 5th numbers in this sorted list.The 4th number is 29 and the 5th number is 30.The median is therefore (29 + 30) / 2 = 29.5.Thus, the median of the given set of numbers is 29.5.
Work out: 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + ...... + 1599 - 1600
I congratulate you if you manage to solve it!!!
What is the value of s 0.7(3s+4)-1.1s=7.9
11 relaxing after work. the 2010 general social survey asked the question: "after an average work day, about how many hours do you have to relax or pursue activities that you enjoy?" to a random sample of 1,155 americans.41 a 95% confidence interval for the mean number of hours spent relaxing or pursuing activities they enjoy was (1.38, 1.92). (a) interpret this interval in context of the d
The 95% confidence interval for the mean number of hours Americans spend relaxing or engaging in enjoyable activities post-work is between 1.38 and 1.92 hours per day, which signifies the statistical range where the true mean likely falls. This statistic is crucial for understanding leisure's role in health and well-being.
The 95% confidence interval given in the General Social Survey of (1.38, 1.92) hours for the mean number of hours spent relaxing or pursuing activities after an average workday suggests that we can be 95% confident that the actual mean number of hours all Americans have for such activities falls within this range. This is an important statistic considering that leisure and recovery are essential for well-being, mental health, and stress prevention, as pointed out by researchers like Sonnentag & Zijlstra and Juliet Schor. Juliet Schor also highlighted that Americans have significantly declined in leisure time. The comparison of leisure time across different countries, such as Americans working more hours compared to Europeans, adds context to the importance of this interval in reflecting Americans' potential lack of leisure that could impact health.
On a winter day in Alaska, the temperature at noon was -0.6°C. From noon to 3:00, the temperature increased by 1.2°C. From 3:00 to 6:00, it dropped 0.4°C, and from 6:00 to 9:00, it decreased by 0.6°C. What expression shows the temperature in °C at 9:00 p.m.?
At 9:00 p.m, the temperature would be equal to -0.4°C
How are Kelvin, Celsius, and Fahrenheit related?We have got an equation that can relate these three units of measurement of temperature, as given below:
[tex]\dfrac{C}{5} = \dfrac{F - 32}{9} = \dfrac{K - 273}{5}[/tex]
where C represents the measurement of a fixed temperature in celsius, F represents the measurement of that same intensity temperature in fahrenheit, and K represents the measurement of equally intense temperature in kelvin.
We are given that
On a winter day in Alaska, the temperature at noon = -0.6°C.
Then From noon to 3:00, the temperature increased by 1.2°C. From 3:00 to 6:00, it dropped 0.4°C, and from 6:00 to 9:00, it decreased by 0.6°C.
-0.4
Therefore, the expression could be;
-0.6+1.2-0.4-0.6
=-0.4
The expression that shows the temperature in °C at 9:00 p.m is -0.6+1.2-0.4-0.6
Learn more about temperature scale here:
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simplify (7x−13)−(x+5)
if s(x)=x-7 and t(x)=4x^2-x+3 , which expression is equivalent to (t*s)(x)
Answer:
The answer is [tex]4x^3-29x^2+10x-21[/tex]
Step-by-step explanation:
In order to determine the answer, we have to know what it means (t*s)(x).
When we need to multiply two functions, where y(x) and z(x) are the functions, we can describe the process with the notation (y*z) (x). This notation means that the function y(x) is being multiplying by the function z(x).
So, in this case, we have two functions:
[tex]s(x)=x-7\\t(x)=4x^2-x+3[/tex]
Multiplying both functions (t*s) (x):
[tex](t*s)(x)=t(x)*s(x)\\(4x^2-x+3)(x-7)\\4x^3-28x^2-x^2+7x+3x-21\\4x^3-29x^2+10x-21[/tex]
Finally, the expression is:
[tex]4x^3-29x^2+10x-21[/tex]
a pail holds 4 4/1 gallons of water.How much is this in cups
To convert gallons to cups, multiple conversion factors can be used. Assuming a typo in '4 4/1 gallons' and correcting it to '4 gallons,' the conversion shows that there are 16 cups in a gallon. Thus, 4 gallons of water is equivalent to 64 cups.
Explanation:To convert gallons to cups, you can use conversion factors that relate these two units of volume. First, we need to correct the expression given for the volume of water in the pail. It seems there is a typo because '4 4/1 gallons' isn't a proper number. Assuming it's intended to be '4 gallons,' we can proceed with the conversion.
Since 1 gallon is equivalent to 4 quarts and 1 quart is equivalent to 2 pints, and 1 pint is equivalent to 2 cups, we can create a chain of multiplications to convert from gallons to cups.
1 gallon = 4 quarts1 quart = 2 pints1 pint = 2 cupsMultiplying these together gives us:
1 gallon = 4 x 2 x 2 = 16 cups
Therefore, to find out how many cups are in 4 gallons:
4 gal x 16 cups/gal = 64 cups
So, 4 gallons of water is equivalent to 64 cups.
Final answer:
To convert 4 gallons to cups using the provided conversion factors, multiply the gallons by 4 to get quarts, then multiply by 2 to get pints, and again multiply by 2 to get cups, resulting in a total of 64 cups.
Explanation:
The student's question involves converting a quantity of gallons into cups, which is a Mathematics problem specifically dealing with units of volume conversion. The amount given, 4 4/1 gallons, seems to be a typo, but assuming the intention was to convert 4 gallons into cups, we can use the given conversion factors:
1 gallon = 4 quarts1 quart = 2 pints1 pint = 2 cupsTo find out how many cups are in 4 gallons, we follow these steps:
Multiply the number of gallons by 4 to convert gallons to quarts.Since 1 gallon is equal to 4 quarts, 4 gallons is equal to 4 x 4 quarts, which is 16 quarts.Since 1 quart is equal to 2 pints, we can then convert quarts to pints by multiplying the number of quarts by 2.16 quarts is equal to 16 x 2 pints, which is 32 pints.Finally, since 1 pint is equal to 2 cups, to convert pints to cups, multiply the number of pints by 2.32 pints is equal to 32 x 2 cups, which equals 64 cups.Therefore, 4 gallons is equivalent to 64 cups.
Dots sells T-shirts ($2) and shorts ($3). In April, total sales were $576. People bought 3 times as many T-shirts as shorts.
How many T-shirts and shorts did Dots sell?
Final answer:
Dots sold 192 T-shirts and 64 shorts in April. We found this by setting up a system of equations with the given information and solving for the number of T-shirts (T) and shorts (S) sold.
Explanation:
To solve the problem of how many T-shirts and shorts Dots sold, we use a system of equations. Let's denote the number of T-shirts as T and the number of shorts as S. Given that T-shirts cost $2 each and shorts cost $3 each, and the total sales were $576, we can write our equations as follows:
2T + 3S = $576
We are also told that the store sold 3 times as many T-shirts as shorts, which gives us the second equation:
T = 3S
Substituting the second equation into the first, we get:
2(3S) + 3S = $576
6S + 3S = $576
9S = $576
Now, dividing both sides by 9 to isolate S, we get:
S = $576 / 9
S = 64
Since T is three times S:
T = 3 × 64
T = 192
Therefore, Dots sold 192 T-shirts and 64 shorts in April.
what is 107,609 divided by 72 with a remainder with no decimal?
Rewrite the expression 3a^2b^3c^5/8x^4y^3z so that it has no denominator.
Answer: 3*2^-3a^2b^3c^5x^-4y^-3z^-1 (graded correct)
Step-by-step explanation:
meaganblatcher (original poster)
you take away 8 and multiply and get 3a^2b^3c^5 * x^4y^3z or something
This becomes 3a^2b^3c^5x^-4y^-3z^1/8
Then you move the 8 up using multiplication and get -24a^2b^3c^5x^4y^3z^1
This can be simplifed as 3*2^-3a^2b^3c^5x^-4y^-3z^-1
regardless that's the real answer.
What is the value of the fraction given below? 24/(-2/3)
The linear equation y=3x−5y=3x−5 y equals 3 x , minus 5 is in what form.
It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham moves 1.5 times as fast as the bus. If the car and the bus start moving towards each other simultaneously, after how many minutes will they meet?
The answer is 16 mins
one afternoon Cassian Sandwich Shop sells 15 sandwiches in 45 minutes if the shop continue to sell sandwiches at the same rate about how many sandwiches will the shop sell in 3 hours
(98-78) times 11 in word form then the value of expression
The equation of the line in this graph is y=____x+____
how many liters of spring water are in six bottles if each bottle contains 0.33 liter of spring water? round your answer to the nearest liter
Use logarithmic differentiation to find the derivative of the function. y = (x3 + 2)2(x4 + 4)4
The derivative of y = (x³ + 2)²(x⁴ + 4)⁴ using logarithmic differentiation is;
y' = {[6x²In(x³ + 2)]/(x³ + 2)} + {[16x³In(x⁴ + 4)⁴]/(x⁴ + 4)} × [(x³ + 2)²(x⁴ + 4)⁴]
We are given the function;
y = (x³ + 2)²(x⁴ + 4)⁴
We want to find the derivative using logarithmic differentiation;
Step 1; Take the natural log of both sides;
In y = In[(x³ + 2)²(x⁴ + 4)⁴]
Step 2;
Using log of a product property on this, we have;
In y = In(x³ + 2)² + In(x⁴ + 4)⁴
Step 3; We will now differentiate both sides with chain rule to get;.
y'/y = [6x²In(x³ + 2)]/(x³ + 2) + [16x³In(x⁴ + 4)⁴]/(x⁴ + 4)
Step 4; Using multiplication property of equality, multiply both sides by y to get;
y' = {[6x²In(x³ + 2)]/(x³ + 2) + [16x³In(x⁴ + 4)⁴]/(x⁴ + 4)} × y
Step 5; Plug in the value of y = (x³ + 2)²(x⁴ + 4)⁴ to get;
y' = {[6x²In(x³ + 2)]/(x³ + 2)} + {[16x³In(x⁴ + 4)⁴]/(x⁴ + 4)} × [(x³ + 2)²(x⁴ + 4)⁴]
Read more at; https://brainly.com/question/13240582
1.all real numbers that are less than -3 or greater than or equal to 5
A.x < -3 or x≥5
B.x < 5 or x ≥-3
C.x ≤ -3 or x >5
D.x ≤-3 or x ≤ 5
2.The time a cake must bake is between 25 minutes and 30 minutes, inclusive.
A.25 < x < 30
B.25 ≤ x ≤ 30
C.25 ≤x ≥ 30
D.25 < x > 30
3. Solve. 5 < x -2 <11
A.5 < x < 11
B.7 < x < 13
C.7 < x < 11
D.5 < x < 16
4. Which graph shows the solution of 9 - c < 2 or -3c > 15?
Answer:
Kramer is wrong trust me
The answers are:
1. A
2. B
3. B
4. C
100% just took it :)
Lesson 6 - Compound inequalities
Step-by-step explanation:
What is the relationship between 0.04 and 0.004?
The deviation of a value (x) from the mean of the sample divided by the standard deviation (s)of the sample is known as the "z" value or z-score.
True
False
Answer:
TRUE.
Step-by-step explanation:
It's in an assignment I'm doing.
Also, THERE ARE WAYS TO FIND THE AREA UNDER A NORMAL CURVE is also TRUE
(1 pt) let x be an exponential random variable with parameter \lambda = 4, and let y be the random variable defined by y = 2 e^x. compute the probability density function of y:
Which of the following represents the correct expansion of (x + 2)^5?
A. x5 + 10x4 + 40x3 + 40x2 + 10x +32
B. x5 + 8x4 + 12x3 + 8x2 + x +32
C. x5 + 10x4 + 20x3 + 20x2 + 10x +32
D. x5 + 10x4 + 40x3 + 80x2 + 80x +32
4 students are running for club president in a club with 50 members. How many different vote counts are possible, if all 50 members are required to vote?
please show how you solve for it
Find the absolute extrema of the function \(f(x)= xe^{- x^2/18}\) on the interval \([-2,4]\).
The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2 inches, what is its width? HINT: Set up and solve as a proportion and find x.
Answer:
7.6 inches
Step-by-step explanation:
The ratio of the height to the width of a packaging label is 5 to 19, that is,
h/w = 5/19 [1]
If the height of the label is 2 inches, and its width is unknown (x), that is,
h/w = 2 in/x [2]
We can set up a proportion with [1] and [2],
5/19 = 2 in/x
We use the cross product property of proportions.
5 × x = 19 × 2 in
x = 19 × 2 in/ 5 = 7.6 in
The width is 7.6 inches.