Nosse pa jajjsja sajs f pa nel bro
Answer:
\(\frac{67073747877258500000000}{3}\) = 2.24 × 10²²
Step-by-step explanation:
\(\frac{(\frac{730}{2})^9*7}{36}\) :
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
\(\frac{67073747877258500000000}{3}\)
Decimal Form:
2.23579159 × 10²² ≈ 2.24 × 10²²
Question content area top
Part 1
Find the amount in the account for the given principal, interest rate, time, and compounding period.
P$, r%, t years; compounded quarterly
The amount in the account after compounded quarterly is found as: $1103.8.
Explain about the quarterly compounding?Compounding quarterly is the term used to describe the amount of interest that is earned on a quarterly basis on a savings account or investment at which interest is also reinvested.
Although most banks charge interest income here on deposits, which compounds quarterly, this information is useful in computing the fixed deposit income. It can also be used to figure out any revenue from money market instruments or other financial products that pay quarterly income.
The formula for quarterly compounding:
A = P * \((1+r/n)^{nt}\)
P $1000, r = 10%, t = 2 years;
compounded quarterly : n = 4
A = 1000 * \((1+0.10/4)^{4*1}\)
A = 1000 * 1.1038
A = 1103.8
Thus, the amount in the account after compounded quarterly is found as: $1103.8.
Know more about the quarterly compounding
https://brainly.com/question/6561461
#SPJ1
Complete question:
Find the amount in the account for the given principal, interest rate, time, and compounding period.
P $1000, r = 10%, t = 2 years; compounded quarterly
3. suppose that y1 and y2 are independent random variables, each with mean 0 and variance σ2. suppose you observe x1 and x2, which are related to y1 and y2 as follows: x1 = y1 and x2 = rhoy1 √(1 −rho2)y
x1 and x2 are uncorrelated random variables.
Given that y1 and y2 are independent random variables with mean 0 and variance σ^2, and x1 and x2 are related to y1 and y2 as follows:
x1 = y1 and x2 = ρy1√(1-ρ^2)y2
We can find the mean and variance of x1 and x2 as follows:
Mean of x1:
E(x1) = E(y1) = 0 (since y1 has mean 0)
Variance of x1:
Var(x1) = Var(y1) = σ^2 (since y1 has variance σ^2)
Mean of x2:
E(x2) = ρE(y1)√(1-ρ^2)E(y2) = 0 (since both y1 and y2 have mean 0)
Variance of x2:
Var(x2) = ρ^2Var(y1)(1-ρ^2)Var(y2) = ρ^2(1-ρ^2)σ^2 (since y1 and y2 are independent)
Now, let's find the covariance between x1 and x2:
Cov(x1, x2) = E(x1x2) - E(x1)E(x2)
= E(y1ρy1√(1-ρ^2)y2) - 0
= ρσ^2√(1-ρ^2)E(y1y2)
= 0 (since y1 and y2 are independent and have mean 0)
Therefore, x1 and x2 are uncorrelated random variables.
Learn more about random variables here:
https://brainly.com/question/17238189
#SPJ11
at a race track, the average speed of the race cars is measured every lap. the box-and-whisker plot represents the average speed of a certain car for several laps. what is the range in the average speed?
The median of the given data is 131, which is the average of the two middle values of the box plot range.
The given box-and-whisker plot represents the average speed of a certain car for several laps. The median value is the middle value of the data when it is arranged in ascending or descending order. In this case, the median is the value that divides the box into two equal halves.
Since the box plot range is from 126 to 131 and 131 to 135, the median value would be the average of the two middle values, which are 131 and 131. Therefore, the median of the given data is (131+131)/2 = 131.
To know more about median:
https://brainly.com/question/28060453
#SPJ4
If A and B are two subsets of with n() = 43, n(A) = 25, n(B) = 18 and n(AB) = 7, which is the value of n(AUB).
Answer: We can use the following formula for the union of two sets:
n(A U B) = n(A) + n(B) - n(A ∩ B)
where n(A ∩ B) is the number of elements in the intersection of A and B.
Substituting the given values, we get:
n(A U B) = n(A) + n(B) - n(A ∩ B)
n(A U B) = 25 + 18 - 7
n(A U B) = 36
Therefore, the value of n(A U B) is 36.
Marissa wants to babysit to earn some extra money. She already has $250 in her bank account. The equation f(x) = 22x + 250 can be used to find the total amount of money in her bank account, y, after x hours of babysitting. What does the 22 represent in the equation?
Answer:
22 represents how much she gets paid by the hour
Answer:
22 represents how much she gets paid by the hour
Step-by-step explanation:
Kai is making pancakes for a school fundraiser and is using 3 cups of pancake mix for 22 total pancakes. How many cup of pancake mix will he need to make a total of 220 pancakes? © 30 cups
10 cups
7 cups
9 cups
Based on the information provided, to prepare a total of 220 pancakes Kai needs 30 cups of pancake mix.
What is the ratio required to preparae 22 pancakes?To prepare 22 pancakes Kai needs a total of 3 cups of pancake mix, which means the ratio is 22 to 3 or 22:3.
How many pancake mix cups does he need for 220 pancakes?To find the total of pancake mix Kai need for this new number of pancakes different methods can be applied:
First method: Rule of three
3 cups of pancake mix = 22 pancakes
x = 220 pancakes
x (number of cups) = 220 pancakes / 22 panckes x 3
x = 10 x 3
x= 30
This means Kai needs 30 cups
Second method: Find the number of cups for 1 pancake
3 cups / 22 pancakes= 0.13636
220 x 0.13 = 29.9 which can be rounded as 30 cups
Learn more about cups in: https://brainly.com/question/15135554
#SPJ1
(2x+1)(z-7) = 2711
2x+1
11(x-7)
O A. All real numbers except 7
O B. All real numbers except - 1/2
C. All real numbers except - and 7
O
O D. All real numbers
I need help ASAPPPPPPPPP
Answer:
C) 3/8 < 1/2 good luck
Step-by-step explanation:
brainliest please
What is the formula of a percent of an amount?
Answer:
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
value · 100%
total value
find the volume to the neares whole number. V=__ in 3 little three^
The formula of the volume is given by;
\(V=\frac{s\cdot s\cdot h}{3}\)Where:
s = 11 in
h = 11.5 in
So, we have:
\(V=\frac{11\cdot11\cdot11.5}{3}=\frac{1391.5}{3}=463.83\)Round to the nearest whole number is 464
Answer: 464 in^3
Janelle is considering two options for saving money. One option earns simple interest while the other option earns interest compounded monthly. If there are no additional deposits or withdraws, how much more will Janelle earn with the compound interest option? Assume Janelle deposits $3,000 at 3% interest for 7 years for both options
Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.
For the simple interest option, the interest is calculated using the formula:
I = P * r * t
Where:
I is the total interest earned
Using the given values, we can calculate the interest earned with simple interest:
I = 3000 * 0.03 * 7
I = 630
Now, let's calculate the total amount earned with the compound interest option.
Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:
r = 0.03/12
t = 7 * 12
Using these values, we can calculate the total amount with compound interest:
\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)
A ≈ 3,729.19
To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:
Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19
Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
Learn more about compound interest visit:
brainly.com/question/14295570
#SPJ11
What are the answers to these?
A) -3
B) 5
C) -2
D)-6
i have to write 20 characters so sisiasskklsa
Answer:
a) -3
b)5
c)-2
d)-6
Step-by-step explanation:
4 - 7 =-3
4 is positive and 7 is negative
a positive minus a negative is equal to a negative
3 is negative and 8 is positive, but 8 is bigger than 3, so take the sign of the bigger number which is 8.
c) is the same as question b
same signs rule
a negative + a negative is = to negative
positive and a positive is = to a positive
a negative +/_ a positive = a negative
If QT is the perpendicular bisector of PR, find each measure.
Please help!!
Given that QT is the perpendicular bisector of PR.The bisector of any line segment divides it into two equal parts, each of which has the same measure.To begin, let's define a few terms.
Angle bisector - An angle bisector is a line or segment that divides an angle into two equal parts.The given figure is shown below: We are given QT is the perpendicular bisector of PR. That means QT is perpendicular to PR and it bisects it. That is, it divides it into two equal halves.Suppose, PR = 2xFrom the given information, we know that the perpendicular bisector QT divides PR into two equal halves.
So,PQ = QR
Now, In right triangle
TPQ,QT² = TP² + PQ²QT² = TP² + QR² (since PQ = QR)QT² = TP² + (2x)² (since PQ = QR = 2x)QT² = TP² + 4x²
Also, In right triangle
TRQ,QT² = TR² + QR²QT² = TR² + (2x)²QT² = TR² + 4x²
We now have two equations:
QT² = TP² + 4x² QT² = TR² + 4x²
The above two equations can be equated:
TP² + 4x² = TR² + 4x²TP² = TR²
Thus, we can say that
TP = TRLet TP = TR = a
By Pythagoras theorem in right angled triangle
TPQ,TP² + PQ² = TQ²a² + (2x)² = QT²a² + 4x² = QT²
The answer is 4x² + a² = QT².
To know more about line segment visit :
https://brainly.com/question/30072605
#SPJ11
3. What is the solution set of the equation 3x + 5) = x + 2?
- If you can buy one jar of crushed ginger
for $1.99, then how many can you buy
with $5.97?
A) 12
B) 1
C) 3
D) 2.
Answer:
C, 3
Step-by-step explanation:
An electronics wholesaler must sell at least $4000 worth of computers and printers per day to stay profitable. Each printer costs $300 and each computer costs $900. The store can ship a maximum of 25 items per day. If c represents the number of computers and p represents the number printers, which THREE statements are correct? Select 3 correct answer(s) Question 4 options: c + p ≥ 25 and 900c + 300p ≤ 4000 models the situation c = 5 and p = 15 is a viable solution c = 15 and p = 5 is a viable solution c + p ≥ 25 and 900c + 300p ≥ 4000 models the situation c + p ≤ 25 and 900c + 300p ≥ 4000 models the situation
Answer:
A,B,D
Step-by-step explanation:
(A) is correct because 5*900+15*300>4000
(B) is correct because 15*900+5*300>4000
(D) is correct because C+P must be less than or equal to 25
Sam and harry are family. Sam is currently three times harry's age. Sam's age is also 10 more than twice harry's age. The following system of equations models this scenario: x = 3y x = 10 + 2y what are their current ages?.
The current age of Sam is 30 years and Harry is 10 years.
Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.
Let Sam's age be y years and Harry's age be x years.
Sam is currently three times harry's age.
The equation formed: y = 3x
Sam's age is also 10 more than twice harry's age.
The equation formed: y = 2x + 10
Substitute the value of y from first equation in second equation:
3x = 2x + 10
x = 10
Put the value of x in first equation:
y = 3x = 3*10 = 30
Thus, the current age of Sam is 30 years and Harry is 10 years.
To learn more about equations, visit brainly.com/question/29657992
#SPJ4
A school administrator believes that the mean class GPAs for a given course are higher than the preferred mean of 2.75 at a significance level of 0.05, and checks a randomly chosen sample of 50 classes. Create a histogram, and calculate x¯, the t-statistic, and the p-value.Here is the data for the class GPAS:3.092.732.582.682.842.682.642.622.352.722.632.772.723.032.712.962.743.012.882.682.833.022.832.712.672.792.652.562.782.892.402.382.412.832.863.012.802.842.952.752.932.482.342.972.852.742.843.102.622.77The questions to answer:From the histogram, can normality be assumed? Yes/NoX =T=P=Since the P-value is (greater/less than) than the significance level of 0.05, than the null hypothesis (fails to be rejected/is rejected). (sufficient/insufficient) evidences exists that the new mean GPA is greater than 2.75
The mean GPA is greater than 2.75.
A= 4.0, A- = 3.7, B+ = 3.three, and many others. Total the first-class factors, and overall the credit hours. Divide the overall satisfactory points by means of the overall credit score hours.
Grade Point Average (GPA):Grade point average (GPA) is the measure used to summarize your instructional fulfillment at Griffith. After the e-book of final grades every trimester, your software and career.
GPA is calculated and could be utilized by the college to tell choices, which include the subsequent: educational progression.
Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.
Mean GPA = total / 50
= 2.75.
Learn more about Mean Grade Point Average:
https://brainly.com/question/16905011
#SPJ4
Solve for the implicit solution (2x + y² + 3)dx + (2xy + 2y)dy = 0 y(0) = 3
The implicit solution to the given differential equation is (x² + xy + y³ + 3y) = 9.
To solve the equation, we can use the method of separation of variables. Rearranging the equation, we have (2x + y² + 3)dx + (2xy + 2y)dy = 0.
We start by multiplying through by dx to separate the variables: (2x + y² + 3)dx = -(2xy + 2y)dy.
Next, we integrate both sides with respect to their respective variables:
∫(2x + y² + 3)dx = -∫(2xy + 2y)dy.
Integrating, we get x² + xy + 3x = -x²y - y²/2 + C, where C is the constant of integration.
To find the value of C, we use the initial condition y(0) = 3. Plugging in the values, we get 0 + 0 + 0 = -0 - 9/2 + C, which simplifies to C = 9/2.
Substituting the value of C back into the equation, we get the implicit solution (x² + xy + y³ + 3y) = 9.
learn more about method of separation here:
https://brainly.com/question/13266399
#SPJ11
Beatrice has a page of 8 math problems to complete over the weekend. She solved 3 problems on Saturday morning and 2 on Saturday afternoon. Write a number sentence with fractions that describes how much of the page Beatrice has completed.
Answer:
5/8
Step-by-step explanation:
Add 3+2 to get 5
5 is the numerator (the number above the line)
8 is the denominator (the number below the line)
Beatrice has done 5/8 (or 5 out of 8) math problems.
ASAP
What is
10/5
as a percentage?
Answer: 200
Step-by-step explanation: When you enter 10/5 into the above formula, you get (10/5)*100 which calculates to:
Answer:
Step-by-step explanation:
200%
numerator/denominator : 10/5
CAN SOMEONE PLZZZ HELP ME???
The length of life of an electronic component has an exponential probability density function with mean 1000 hours. Find the probability that a component lasts at least 1500 hours
The probability that a component lasts at least 1500 hours using the exponential probability density function is 0.22313016014843.
The formula used to define the exponential distribution is called the exponential distribution formula. The variable needs to be continuous and independent for an exponential distribution. You may find the exponential distribution formula by using:
\(f(x) = me^{-mx} \text{ or } f(x) = (1/\mu) e^{-(1/\mu)x}\)
Where m is the rate parameter or the decay parameter, and μ is the mean.
In the question, the mean, μ = 1000 hours, and the variable, x = 1500 hours.
But, we need to find the probability that the component lasts at least 1500 hours, that is, x is greater than or equal to 1500, that is, f(x ≥ 1500), which, using the calculator, is computed to be 0.22313016014843.
Thus, the probability that a component lasts at least 1500 hours using the exponential probability density function is 0.22313016014843.
Learn more about the exponential probability density function at
https://brainly.com/question/13339415
#SPJ4
Given startlayout enlarged left-brace first-row startfraction x cubed minus 1 over x squared minus 1 endfraction, for x less-than 1 second row startfraction 3 over x minus 1 endfraction, for x greater-than-or-equal-to 1 endlayout. what is limit of f (x) as x approaches 1 minus? negative three-halves 0 three-halves dne
The limit of f(x) as it approaches -1 is given as 3/2
What is limit in mathematics?In mathematics and computation, the limit can be described to be the value that a sequence is going to approach in such a way that the input would approach or tend towards a given value
The unit is used to assign values to numbers at certain points where there are no defined values.
How to solve the limitwe have 3/x-1
We have to take the value of x here to be three as the equation tends to 1.
Then we apply it in the formula
3/3-1
= 3/2
Hence the limit of f(x) is given as 3/2
Read more on limit here:
https://brainly.com/question/23935467
#SPJ1
Why when making electric motors with large capacity, People don't use permanent magnets to create a magnetic field
Answer:
motor was basically a big magnet in the middle of the motor surrounded by coils of copper. To make the motor run, we would apply an AC field to the coils ...
Jonah will cover a cube in wrapping paper. Each edge of the cube is 25 cm long. What is the least amount of
wrapping paper he needs to cover the cube?
15 625 square centimeters
25 square centimeters
37.5 square centimeters
42 25 square centimeters
Save and Exit
Next
Subm
MO
Answer:
3750 cm²
Step-by-step explanation:
To find the answer, we need to find the surface area of the cube. The surface area formula for a cube is 6a² where a = the length of an edge. We know that a = 25 so the surface area is 6 * 25² = 6 * 625 = 3750 cm².
Answer:
37.5 hopefully this is the answer you were looking for!
Step-by-step explanation:
If G-H-I, and if GH = 2x - 9 , HI = 14 , and GT = 3x - 8 , then find GI.
The value of GI, given that GH = 2x - 9 , HI = 14 , and GT = 3x - 8 will be 31.
What is the value of the variable?An algebraic equation is formed by comparing two algebraic expressions to one another.
In G-H-I, GH = 2x - 9, HI = 14 , and GT = 3x - 8
If G-H-I is a line and GH, HI and GT lies between G to I
To find G to I ⇒ GI = GH + HI = GT
GI = 2x - 9 + 14 = 3x - 8
2x + 5 = 3x - 8
2x - 3x = -8 - 5
-x = -13
x = 13
Substituting x in GT = 3x - 8; GI = GT
GI = 3(13) - 8
GI = 39 - 8
GI = 31
Using algebraic expressions, if x is 13 then, 3x - 8 or 2x - 9 will be GI = 31
Find out more on algebraic expressions here: https://brainly.com/question/4344214
#SPJ1
Juana borrowed $10,686.00 from her parents to finance a vacabion. H interest was charged on the loan at 5.79% p.a., how much interest would she have to pay in 20 days?
Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.
The interest Juana would have to pay in 20 days can be calculated using the formula:
Interest = Principal × Interest Rate × Time
In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.
Using the formula and substituting the values:
Interest = $10,686.00 × 0.0579 × (20/365)
Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.
Learn more about interest here:
https://brainly.com/question/29335425
#SPJ11
John received a z score of 0.5 on an exam. Peter received a T score of 60 on that same exam. What can be said about their relative performance on the exam?
a. There is not enough information to compare John's and Peter's exam scores.
b. Peter received a higher raw score than John on the exam.
c. John received a higher raw score than Peter on the exam.
d. The two test-takers actually received the same score on the exam.
The answer is (a) There is not enough information to compare John's and Peter's exam scores.
A z score and a T score are both measures of how a particular score compares to the mean in a distribution, but they are calculated using different formulas. A z score measures the number of standard deviations a score is from the mean, while a T score is a linear transformation of the raw score that is adjusted to have a mean of 50 and a standard deviation of 10.
Without additional information about the specific distribution of scores, the mean, and the standard deviation, we cannot determine the raw scores of John and Peter or compare their relative performance on the exam. The z score of 0.5 for John indicates that his score is half a standard deviation above the mean, but we don't know the actual raw score. Similarly, the T score of 60 for Peter indicates that his score is above the mean, but we don't have enough information to determine the raw score or make a direct comparison between the two.
Learn more about standard deviation here:
https://brainly.com/question/29115611
#SPJ11
Draw the multiplication table on the P=(3,5,7,9) in module 12
Answer:
Find the attached file for the solution
Step-by-step explanation: To draw the multiplication table on the P=(3,5,7,9) in module 12, create the table where all the given parameters will be at the top of horizontal axis and vertical axis,
When multiply by each other, any value that is below 12 will be written down while the value greater than 12 will be divided by 12 and the remainder will be written down.
Find the attached file for the solution and table.