Answers
i think its 1.45in^2
Related Questions
Thirty samples of size 4 of the customer waiting time at a call center for a health insurance company resulted in an overall mean of 10.4 minutes and average range of 0.9 minutes . Compute the control limits for x and r charts.
Answers
the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).
To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:
For the x-bar chart:
Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar
Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar
For the R chart:
Upper Control Limit (UCL) for R = D4 * R-bar
Lower Control Limit (LCL) for R = D3 * R-bar
Where:
x-double-bar = Overall mean of the sample means
R-bar = Overall mean of the sample ranges
A2 = Constant from the control chart constants table
D4 = Constant from the control chart constants table
D3 = Constant from the control chart constants table
For sample sizes of 4, the control chart constants are as follows:
A2 = 0.729
D4 = 2.281
D3 = 0
Given the information you provided:
Overall mean (x-double-bar) = 10.4 minutes
Average range (R-bar) = 0.9 minutes
Let's calculate the control limits:
For the x-bar chart:
UCL for x-bar = 10.4 + 0.729 * 0.9
= 10.4 + 0.6561
= 11.0561 minutes
LCL for x-bar = 10.4 - 0.729 * 0.9
= 10.4 - 0.6561
= 9.7439 minutes
For the R chart:
UCL for R = 2.281 * 0.9
= 2.0529 minutes
LCL for R = 0
To know more about limits visit:
brainly.com/question/12207539
#SPJ11
Find the volume of the solid generated by revolving the region bounded by the following lines and curve about the x-axis. y=x^2,y=0,x=2 a.(16pi)/3 b.(32 pi)/3 c.(32 pi)/5 d.(16 pi)/9 e.(19pi)/2
Answers
Therefore, the volume of the solid generated by revolving the region bounded by y= x2, y = 0, and x = 2 about the x-axis is 16.
To find the volume of the solid generated by revolving the region bounded by y=x^2, y=0, and x=2 about the x-axis, we will use the method of cylindrical shells.
First, let'sgraph the region to better visualize it.
graph{y=x^2 [-10, 10, -5, 5]}
The region is bounded by the x-axis, the line x=2, and the curve y=x^2. When we revolve this region about the x-axis, we will generate a solid with a cylindrical shape. To find the volume of this solid, we will slice it into thin cylindrical shells and add up the volumes of each shell.
Let's consider a thin slice of the region at x. The height of this slice will be given by the curve y=x^2, and the thickness of the slice will be dx. When we revolve this slice about the x-axis, it will generate a cylindrical shell with radius x and height x^2. The volume of this shell can be calculated using the formula for the volume of a cylinder:
V = 2πrxh
where r is the radius of the cylinder, h is its height, and π is the constant pi. In this case, we have r = x and h = x^2, so
V = 2πx(x^2)
V = 2πx^3
To find the total volume of the solid, we need to add up the volumes of all these cylindrical shells from x=0 to x=2:
V = ∫(0 to 2) 2πx^3 dx
V = πx^4 |(0 to 2)
V = π(2^4 - 0^4)
V = 16π
Therefore, the volume of the solid generated by revolving the region bounded by y=x^2, y=0, and x=2 about the x-axis is 16π.
To know more about volume visit:-
https://brainly.com/question/1578538
#SPJ11
please help me with this! thank you so much!
Answers
Answer: Look at the photo
Step-by-step explanation:
\((3x + 3) + (4x + 2) = 180\\7x + 5 = 180\\\)
Substract 5 from both sides
\(7x = 175\)
Divide by 7 from both sides
x = 25
-3x -3x
3=1x+2
-2 -2
1=x
That’s how you get x
3•1 +3 = 6
4•1 + 2 =6
I’m pretty sure that’s right it’s been a minute
Find the value of m, to the nearest tenth.
Answers
Answer:
m = 18*sin(43)
Step-by-step explanation:
Hope This Helps
(t/f) with a larger degree of freedom, the density curve for t-distribution is closer to that of a standard normal distribution.
Answers
A bell-shaped probability distribution that is symmetrical about its mean is the student's t-distribution. In the following situations, it is thought to be the distribution that should be used to build confidence intervals when working with little samples that have fewer than 30 components if it is unclear what the population variance is.
When the involved distribution is either normal or nearly normal.
A t-distribution is used to test the following in addition to being used to build confidence intervals:
Individual population mean
The variations in two population means.
The average variation among paired (dependent) populations.
The correlation coefficient for the populace.
If the sample size is high enough for the central limit, a t-distribution may still be viable for usage even in the absence of explicit normality for a specific distribution theorem that must be used. In this scenario, the distribution is regarded as roughly normal.
To learn more about confidence intervals click here:
brainly.com/question/24131141
#SPJ4
7x/3+2=-15 solve please!
Answers
How to solve your problem
Topics: Algebra, Polynomial
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
Solve
1
Find common denominator
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
2
Combine fractions with common denominator
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
7
+
3
⋅
2
3
=
−
1
\frac{7x+3 \cdot 2}{3}=-1
37x+3⋅2=−1
3
Multiply the numbers
7
+
3
⋅
2
3
=
−
1
\frac{7x+{\color{#c92786}{3}} \cdot {\color{#c92786}{2}}}{3}=-1
37x+3⋅2=−1
7
+
6
3
=
−
1
\frac{7x+{\color{#c92786}{6}}}{3}=-1
37x+6=−1
4
Multiply all terms by the same value to eliminate fraction denominators
7
+
6
3
=
−
1
\frac{7x+6}{3}=-1
37x+6=−1
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
5
Cancel multiplied terms that are in the denominator
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
7
+
6
=
3
(
−
1
)
7x+6=3\left(-1\right)
7x+6=3(−1)
6
Multiply the numbers
7
+
6
=
3
(
−
1
)
7x+6={\color{#c92786}{3}}\left({\color{#c92786}{-1}}\right)
7x+6=3(−1)
7
+
6
=
−
3
7x+6={\color{#c92786}{-3}}
7x+6=−3
7
Subtract
6
6
6
from both sides of the equation
7
+
6
=
−
3
7x+6=-3
7x+6=−3
7
+
6
−
6
=
−
3
−
6
7x+6{\color{#c92786}{-6}}=-3{\color{#c92786}{-6}}
7x+6−6=−3−6
8
Simplify
Subtract the numbers
7
=
−
9
7x=-9
7x=−9
9
Divide both sides of the equation by the same term
7
=
−
9
7x=-9
7x=−9
7
7
=
−
9
7
\frac{7x}{{\color{#c92786}{7}}}=\frac{-9}{{\color{#c92786}{7}}}
77x=7−9
10
Simplify
Cancel terms that are in both the numerator and denominator
=
−
9
7
x=\frac{-9}{7}
x=7−9
Solution
=
−
9
7
PLEASE ANSWER TODAY ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Assessment started: undefined.
Item 1
Is the function described by the points in this table linear or nonlinear?
x y
−3 −5
−1 −1
0 1
1 3
3 7
nonlinear
linear
Answers
Answer:
Nonlinear
Step-by-step explanation:
The function is not in a straight line
O is the center of the regular pentagon below. Find its area. Round to the nearest tenth if necessary.
Answers
Answer:
your answer would be 929.24856 or
≈ 929.2
Step-by-step explanation:
tan15∘ = opposite/adjacent= x/17
tan15 ∘= x/17
tan15 /1 = x/17
1/2= 4.55514 ·17
=38.718689
38.718689 · 2 = 77.43738
(77.43738)(12)(multiply the 2)
and your answer should then be....929.24856 or 929.2
i hope i was able to help you!!!
The area of the regular pentagon is 929.2486 or 929.2.
What is regular pentagon?A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .
According to the question,
The regular pentagon has 'O' as its center and radius of regular pentagon is 17.
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
Find the length of the apothem
tan θ = \(\frac{opposite}{adajacent}\)
To find θ
The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.
(12-2)180 = (10)(180).55
= 1800.
To find entire interior angle 1800 divided by 8 we get 225.For the triangle at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.
tan 15° = \(\frac{x}{17}\)
(0.2679) 17 = x
x = 4.5543
Perimeter of the polygon = (4.5543)(17)
= 77.4231
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
=77.4231 × 12
=929.2476
Hence, The area of the regular pentagon is 929.2486 or 929.2.
Learn more about regular pentagon here
https://brainly.com/question/1980649
#SPJ2
Brand A sells their product for 24 dabloons per 6 kg. Brand B sells their product for 25 dabloons per 5 kg. Which brand is cheaper,and by how much per kg?
Answers
1. Divide
2. calculate your steps
3. if its not division its multiplication
Thats all you need!!!
HELP PLEASEEEEEEE!!!!
Answers
Step-by-step explanation:
answer/ explanation is in the picture
Answer:
2.02units
Step-by-step explanation:
tan68°=\(\frac{5}{x}\)=2.4750868534163,so x ≈2
Name: Date: Period: Score: First attempt due: Practice Worksheet: Properties of Exponents Final corrections due: Simplify each expression completely using properties of exponents. Answers should have positive exponents only and all numbers evaluated, for example 5 3 = 125. Each set of problems will use the property listed above as well as a combination of properties attempted in previous sets. NEGATIVE EXPONENT AND ZERO EXPONENT PROPERTIES 1. ???? −7 = 2. (21c 18) −1 = 3. (3???? 2 ) 0 = 4. 5(x 0 )y −1 = PRODUCT OF POWERS PROPERTY 5. ???? 7???? 12 = 6. c 3 c 8 c −5 = 7. (2???? 7 )(−4???? 9???? 5 ) = 8. (9x 10y 3 )(−x 5y 3 ) = QUOTIENT OF POWERS PROPERTY 9. ???? 12 ????7 = 10. 6c 3 3c−5 = 11. 2???? 7 −4????9????5 = 12. 9x 10y 3 −x 5y3 = POWER OF A POWER PROPERTY 13. (???? 3 ) 4 = 14. (c −1 ) 3 = 15. (???? 5 ) −2 = 16. (6x 3y)(x 2 ) −2 = POWER OF A PRODUCT PROPERTY 17. (8???? 5 ) 2 = 18. (2c −1 ) −3 = 19. (−2???? 10) −2 = 20. (4x 2y 3 ) −2 (−x 10) 2 = POWER OF A QUOTIENT PROPERTY 21. ( ???? 2 ) 4 = 22. ( 25c −1 5 ) 2 = 23. ( −2???? 11???? 5 4????−2???? 2 ) 2 = 24. ( (−2x) 2 3xy2 ) 3 = MORE PRACTICE WITH MIXED PROPERTIES 25. ( ???? 2 ) 4 (8???? 5 ) 2 ????−1????10 = 26. ( 16c 6c −2 (2c 2) 3 ) −1 = 27. −2???? ????5 ( ???????? 5 −2???? 10) 2 = 28. ( (4x 2y 3) 0 −3x−1y2 ) 3 = BONUS QUESTIONS 29. ( 9 20 ???? 5 ) (2???? −2 ) ( 4 3 ???? 9 ) 30. 8(–m0???? 2) 3 (−???? 3) 2 m6????0(−2m−2????4) 3
Answers
The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.
The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.
Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example, x-2 = 1/x2.
The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.
The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.
The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.
These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.
Learn more about negative exponent here:
https://brainly.com/question/29009712
#SPJ4
andre surveyed the first ten students walking out of the library on three consecutive evenings, starting at 7pm. which sampling design does this example reflect?
Answers
In the given scenario, Andre surveyed the first ten students walking out of the library on three consecutive evenings, starting at 7pm. This example reflects the sampling design of stratified random sampling.
Stratified random sampling is a method of probability sampling that divides the population into subgroups or strata based on certain characteristics or attributes.
Each stratum is then randomly sampled, ensuring that the sample accurately represents the population as a whole. In this case, the subgroups or strata could be the three evenings (day 1, day 2, and day 3), and the random sampling within each stratum would be the first ten students walking out of the library.
This method of sampling is often used to ensure that the sample is representative of the population, especially when the population is diverse or heterogeneous.
for such more question on sampling design
https://brainly.com/question/25316952
#SPJ11
Animal shelters in a county need at least 15% of their animals to be adopted weekly to have room for the new animals that are brought into the various shelters. The county manager takes a random sample of shelters each week to estimate the overall proportion of animals that are adopted. If he concludes that the proportion has dropped below 15%, he will not accept any new animals into the shelters that week. He tests the hypotheses: H0: The adoption rate is 15%, and Ha: The adoption rate is less than 15%. What is a Type II error, and what is its consequence in this context
Answers
Answer:
By accepting a false null hypothesis he committed a type II error.
Step-by-step explanation:
Type II error is to accept H0 when H0 is false.
If there's a type II error then the null hypothesis is false ie the adoption rate is less than 15 %, when the true adoption rate is not less than 15% . He has accepted the null hypothesis as true and taken the wrong decision of not accepting any new animals into the shelters that week.
Answer:
A
The manager believes the adoption rate is still 15%, when it actually has dropped below 15%. The manager will accept more animals into the shelters and will run out of room.
Step-by-step explanation:
EDGE2022
I'm not really sure if I'm getting this right. please correct me if I'm wrong
Answers
Answer:
D
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × \(\frac{80}{360}\)
= π × 0.9² × \(\frac{8}{36}\)
= 0.81π × \(\frac{2}{9}\)
= 0.09π × 2
= 0.18π in² → D
What are the coordinates?
Answers
Answer:
\((1,1)\)
Step-by-step explanation:
If you graph it, You can see that the last point will be \((1,1)\).
Hope This Helps!
given f(x) = 10-4x
find f (8)
Answers
Brody has pulled 27 marbles from a large bag, and 12 of them are red. What is the experimental probability that the next marble selected from the bag will be red?
Answers
Answer:
Step-by-step explanation:
4/9
By the number of red marbles taken out, we expect that 12/27=4/9 of the marbles are red. Therefore, the probability of the next marble being red is 4/9.
Solve for x.
Please help
Answers
Answer:
x =6
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
7x = x+36
Subtract x from each side
7x -x = x+36-x
6x = 36
Divide by 6
6x/6 = 36/6
x = 6
I need this answer ASAP
Answers
Answer:
EE
Step-by-step explanation:
E
Help me pls
(if here for points go away I will report)
If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?
Answers
Answer:
We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:
f(x) = 3*(4)^x + 45
We do not know the initial function, but with the given information we can assume that the original equation is:
g(x) = 3*(4)^x
Then the new function is:
f(x) = g(x) + 45.
This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:
k(x) = h(x) + N
if N is positive, we have a translation of N units up
if N is negative, we have a translation of N units down.
in this case we have;
f(x) = g(x) + 45
This means that f(x) is a vertical translation of 45 units of g(x), then:
the graph of the new function is 45 units above the original function.
evaluate 4r/ s if r=9 and s=2
Answers
9. A population of bears decreases exponentially. 400 a. What is the annual factor of decrease for the bear population? Explain how you know. 300 bear population 200 100 b. Using function notation, represent the relationship between the bear population, b, and the number of years since the population was first measured. I. That is, find a function, . so that b = f(t). 2 3 4 5 years since 2010 (From Unit 5, Lesson 8.) 10. Equations defining functions ab.c.d. and are shown here. Select all the equations that represent exponential functions. A. a(x) = 2x B. b() = (?) Ccm) = 2" D. dx) = 32 E. (t) = 3.2
Answers
Answer:
9a. 0.8
9b. f(t) = 400(0.8^t)
10. B, C, E
Step-by-step explanation:
The growth factor (or factor of decrease) for a time period will be found by taking the ratio of the value at the end of the time period to the beginning value.
9a.The population is 320 after 1 year. It started at 400 at the beginning of the year, so the factor of decrease is 320/400 = 0.80.
b.The exponential function can be written as ...
f(t) = a·b^t . . . . . where 'a' is the initial population, and 'b' is the factor of decrease
The initial population is shown on the graph as 400; the factor of decrease is what we just computed.
f(t) = 400(0.80^t)
__
10.An exponential function is one that has the independent variable as an exponent. That form is seen in selections B, C, E.
7/3 + x=3;x math I really need help
Answers
Given:
The equation is:
\(\dfrac{7}{3}+x=3\)
To find:
The value of x.
Solution:
We have,
\(\dfrac{7}{3}+x=3\)
Subtract both sides by \(\dfrac{7}{3}\).
\(\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}\)
\(x=\dfrac{9-7}{3}\)
\(x=\dfrac{2}{3}\)
Therefore, the value of x is \(\dfrac{2}{3}\) or it can be written as 0.667.
A company manufacturers and sells a electric drills per month. The monthly cost and price-demand equations areC(x) = 75000 + 70x,P= 160 - x/30 , 0 < 2 < 5000.(A) Find the production level that results in the maximum profit.Production Level =(B) Find the price that the company should charge for each drill in order to maximize profit.Price =
Answers
Given the cost and demand functions:
\(\begin{gathered} C(x)=75000+70x \\ p(x)=160-\frac{x}{30} \\ 0\leq x\leq5000 \end{gathered}\)we can find the revenue with the following expression:
\(R(x)=xp(x)=160x-\frac{x²}{30}\)then, the profit can be calculated with the difference between the revenue and C(x):
\(P(x)=R(x)-C(x)=160x-\frac{x²}{30}-75000-70x=90x-\frac{x²}{30}-75000\)to find the max profit, we can find the derivative of P(x) and find its root to get the value of x that maximizes the function P(x):
\(\begin{gathered} P(x)=90x-\frac{x²}{30}-75000 \\ \Rightarrow P^{\prime}(x)=90-\frac{2}{30}x=90-\frac{1}{15}x \\ P^{\prime}(x)=0\Rightarrow90-\frac{1}{15}x=0 \\ \Rightarrow\frac{1}{15}x=90 \\ \Rightarrow x=90*15=1350 \\ x=1350 \end{gathered}\)therefore, the production level that results in the maximum profit is x = 1350.
Finally, to find the price, we can evaluate x = 1350 on p(x):
\(p(1350)=160-\frac{1350}{30}=160-45=115\)therefore, the price that the company should charge for each drill to maximize profit is $115
which point is closer to the x-axis (0.7, 21) or (0.77, 10)
Answers
Answer:
As
\(d_A=21\)\(d_B=10\)Therefore, point B is closer to the x-axis.
Please check the attached graph.
Step-by-step explanation:
We know that:
x-coordinate of any point P(x, y) gives its distance of that point from the y-axisy-coordinate of any point P(x, y) gives its distance of that point from the x-axisGiven the points
(0.7, 21)(0.77, 10)Let us say
A(0.7, 21)B(0.77, 10)FOR POINT A(0, 7)
As the y-coordinate of point A(0.7, 21) ⇒ y = 21We know that the y-coordinate of any point P(x, y) gives its distance of that point from the x-axis
Thus, the distance of point A(0.7, 21) from the y-axis is 21 units.
i.e.
\(d_A=21\)
FOR POINT B(0.77, 10)
As the y-coordinate of point A(0.77, 10) ⇒ y = 10We know that the y-coordinate of any point P(x, y) gives its distance of that point from the x-axis
Thus, the distance of point B(0, 7) from the y-axis is 10 units.
i.e.
\(d_B=10\)
As
\(d_A=21\)\(d_B=10\)Therefore, point B is closer to the x-axis.
Please check the attached graph.
Answer:
a=10
b=20
Step-by-step explanation:
The point (6, -6) is reflected over the x-axis. What are the coordinates of the resulting point
Answers
Answer:
(-6,-6)
Step-by-step explanation:
(x,y) becomes (-x,y) when reflected over the x-axis
Mike and his friends bought cheese waters for $4 per packet and chocolate wafers for $3 per packet at a camival. They spent a total of $36 to buy a total of 10 packets of waters of the two varieties
Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the camival Define the variables used in the
equations (4 points)
Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer
Answers
The system of equations is:
x + y = 10
4x + 3y = 36
The solution is x = 6 and y = 4.
How to write the system of equations?A)
Let's define the variables:
x = number of cheese wafers.y = number of chocolate wafers.We can write the system of equations:
x + y = 10
4x + 3y = 36
Isolate x on the first equation to get:
x = 10 - y
Replace that in the other one:
4*(10 - y) + 3y = 36
40 - 4y + 3y = 36
40 - y = 36
40 - 36 = y
4 = y
And thus, the value of x is:
x = 10 - y = 10 - 4 = 6
They bought 6 cheese wafers and 4 chocolate ones.
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
PLEASE HELP! 15 POINTS! What are the factors of the expression −4(a+b )?
Answers
Answer:
-4, and (a+b) are the two factors
Step-by-step explanation:
-4(a+b)
We have two factors
-4, and (a+b)
Answer:
-4 and a and b/(a+b)
Step-by-step explanation:
When there is a number outside of a parentheses, you want to distribute it inside of the parentheses. So in this case, -4 is on the outside, so it usually gets distributed it in, which makes it a factor.
Since a and b are getting multiplied by the -4, they are also factors in the equation.
In a problem like this, if you want to solve it, the number outside the parentheses gets distributed into the numbers in the parentheses. (It gets multiplied by the numbers).
-4 times a and -4 times b
-4 times a is -4a
-4 times b is -4b
The answer to this problem, if you need it is -4a-4b. :)
Recently, Caroline purchased a BBQ grill to use this summer. The cost of the grill was $390 and sales tax
in her city is 7.4%. What is the amount of sales tax that Caroline will pay for the grill? Sales tax =
What is the total cost of the grill, including sales tax? Total cost of the grill =
Answers
hi
Sales taxes = 390 *0.074 = 28.86
Total cost : 390+28.86 = 418.86
(A lot of points to whoever can help me out!!) I need help with this!!
Answers
The completed statements with regards to the compound interest of the amount in the account are;
If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years
If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years
What is the compound interest on an amount?Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.
The compound interest formula indicates that we get;
\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)
Where;
P = The principal amount invested = $92 million
r = The interest rate = 5% monthly
n = The number of times the interest is compounded per annum = 12
t = The number of years = 2 years
Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)
The amount in the account after 2 years is therefore about $101.655 million
The formula for the amount in the account if the principal is compounded continuously, we get;
A = \(P\cdot e^{(r\cdot t)}\)
Therefore, we get;
\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)
The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million
Learn more on compound interest here: https://brainly.com/question/21487182
#SPJ1