The amount will be equal to $14478.22.
What is compound interest?Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
A = P (1+R/2)^2t
Where, A = Amount after 6 years = $26,000; P = Amount invested now; R = Annual rate of earning = 10% = 0.06; t = time = 6 years.
Substituting;
[tex]26000 = P(1+\dfrac{0.1}{2})^{2*6}=P(1.7958)[/tex]
Therefore, P = 26000/1.7958 = $14478.22
Thus amount will be equal to $14478.22.
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Stacy recorded the number of minutes she used her
smartphone each day for one week before using an
app that awards points for decreased phone usage,
and for one week after using the app. Stacy's
alternative hypothesis is Ha:X< 114.6.
Before 103 127 87 12495 136 130
After 83 94 1201057598 96
Stacy used a simulation to randomize her data 200
times. She found that the difference between sample
means over 200 trials is approximately normally-
distributed, with a mean of -0.2 and a standard
deviation of 9.1. Which of the following conclusions
is most appropriate?
Phone use did not change.
Phone use increased and then decreased.
Phone use increased.
Phone use decreased.
Using the t-distribution, the most appropriate conclusion for the hypotesis test is given by Phone use did not change.
How to find the value of z-statistic for population mean? (z test statistic)Suppose we're specified that:
The sample mean = [tex]\overline{x}[/tex]
The population mean =[tex]\mu[/tex]
The population standard deviation = [tex]\sigma[/tex]
The sample size = n
Then the z-statistic for this data is found as:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]
In this problem, the values of those parameters are as follows:
The sample mean [tex]\overline{x}[/tex] = -0.2
The population mean =[tex]\mu[/tex] = 0
The population standard deviation = [tex]\sigma[/tex] = 9.1
The sample size = n = 200
Hence, the test statistic is given by:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}\\\\\\Z = \dfrac{-0.2- 0}{9.1/\sqrt{200}}\\\\z = 0.31[/tex]
Thus,
t = 0.31.
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:
Phone use did not change.
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The length of a Ping Pong table is 3 ft less that four times the width. The area of the
Ping Pong table is 85 square feet. What are the dimensions of the Ping Pong table?
Step-by-step explanation:
I hope you understand.....
Evaluate the expression -6³
Answer:
-216
Step-by-step explanation:
please mark as brilliant
the distance of -17 from 0
i have no idea what to do :(((
HELP IM ON A TIMER
What is the product?
(x - 3)(2x2 – 5x + 1)
O 2x3 - x2 + 16x + 3
O 2x3 - 11x2 + 16x + 3
O 2x3 - 11x2 + 16x - 3
0 2x3 - x2 + 16x - 3
Answer:
The answer is 2x3 - 11x2 + 16x -3
Solve for a. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Remark
a is one part of the cosine function. It is termed the adjacent side. The given number (12) is the hypotenuse of a right triangle. The reference angle is given as 25. You have all you need to solve for a
Givens
<B = 25o
AB = 12
a = a
Equation
Cos(B) = adjacent side / hypotenuse
Solution
Cos(25) = adjacent side / 12 Multiply both sides by 12
12*cos(25) = adjacent side
cos(25) = 0.90631
12*0.906331 = adjacent side
10.87 = adjacent side
Answer
a = 10.9
what is -10/5 simplified
please lol help
:) Thank youuu!!!
Answer:
Step-by-step explanation:
10/5
Just divide it
= -2
A paint mixture uses a specific blue to yellow ratio. for every 7 gallons of paint, 2 are blue. enter the ratio of yellow paint to total gallons of paint as a fraction?
Answer:
7:9
Step-by-step explanation:
For very 9 gallons of paint, it needs 7 gallons of yellow.
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
Area: 16.65m^2 (^2 means to the power of 2 exponent, or squared)
Perimeter: 26.3 m
Step-by-step explanation:
Triangle Area formula: bh/2
Plug it in: (7.4)(4.5)/2=16.65
Perimeter: Add the sides
12.6+7.4+6.3=26.3
Answer:
Step-by-step explanation:
Remark
Here are the formulas for what you are asking for.
P = s1 + s2 + s3
Area = height * base / 2
Givens
s1 = 12.6
s2 = 6.3
s3 = 7.4
height = 4.5
base = 7.4
The area is just slightly different than it normally is. The reason is the height. It is not directly connected to the base. The construction is called the base extended. See the givens for what that is.
Solution
Perimeter
P = s1 + s2 + s3 Substitute givens into the formula
P = 12.6+6.3 + 7.4
p = 26.3
Area
Area = (B * H)/ 2
Area = 7.4 *4.5 / 2
Area = 16.65
24r + 48 write the expression in two other ways
Answer:
2(12r + 24)
12(r + 2)
The volume of a cylinder is expressed by the formula V = 3.14 × r²h, where V stands for volume, r is the radius, and h is the height of the cylinder. Suppose the volume of a cylinder is known to be 141.3 m³ and its height is 5 m. Find the radius.
Answer:
The radius is 3 meters.
Step-by-step explanation:
[tex]\pi {r}^{2} (5) = 141.3[/tex]
[tex] {r}^{2} = \frac{141.3}{5\pi} [/tex]
[tex]r = 3[/tex]
The radius of a circle is 1 meter. What is the circle's circumference?
Use 3.14 for .
Answer:
6.28
Step-by-step explanation:
D = R x 2
D = 2
2 x 3.14 =
6.28
The table shows the results from a survey of 335 randomly selected households with pets. this survey was conducted by a new pet store
that is opening nearby.
have children
do not have children.
total
1 pet
38
53
91
2 pets
85
41
126
3 or more pets
46
72
118
total
169
166
335
the pet store uses the data to make decisions about inventory. complete the given statement.
a customer is more likely to have 1 pet and no children than they are to have
A customer is more likely to have 1 pet and no children than they are to have 2 pets and no children.
How to find probability?
We are given a table with 3 columns titled "have children", "do not have children" and "total".
Under the row titled "1 pet", the respective probabilities are;
P(having 1 pet and children) = 38/91 = 0.4176
P(having 1 pet and no children) = 53/91 = 0.5824
Under the row titled "2 pets", the respective probabilities are;
P(having 2 pets and children) = 85/126 = 0.6746
P(having 2 pets and no children) = 41/126 = 0.3254
Under the row titled "3 or more pets", the respective probabilities are;
P(having 3 or more pets and children) = 46/118 = 0.3898
P(having 3 or more pets and no children) = 72/118 = 0.6102
The only probability that is lower than P(having 1 pet and no children) in the same way is P(having 2 pets and no children).
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Answer:
The answer is "3 pets and children"
Step-by-step explanation:
Got it right on Edmentum
evaluate
A)
3
B)
2
C)
5
D)
0
Answer:
b)2
Step-by-step explanation:
2x2x2x2=16
need help with this
The total numbers of A, B, C, D, and F grades are recorded in the table. What was the probability that a student earned a B? (Write as percent rounded to the nearest tenth)
Answer:
18.7%
Step-by-step explanation:
P(B) = 114/ (61+114+220+175+39) = 0.1872 = 18.7%
2. A small plastic vessel has the shape of a truncated cone as shown. A cubic centimeter is the same as a
milliliter. What is the volume of this cup to the nearest milliliter? Show the work you use to find the answer.
If the height of the frustum of the cone is 10 cm. Then the volume of this cup will be 47 milliliters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A small plastic vessel has the shape of a truncated cone as shown. A cubic centimeter is the same as a milliliter.
Then the volume of this cup to the nearest milliliter will be
The volume is given as
[tex]\rm V = \dfrac{1}{3} \pi (r_2^2 - r_1^2) h[/tex]
We have
Height (h) = 10 cm = 0.1 m
Radius (r₁) = 3.2 cm = 0.032 m
Radius (r₂) = 2.4 cm = 0.024 m
Then the volume will be
[tex]\rm V = \dfrac{1}{3} \pi (0.032^2 - 0.024^2) \times 0.1\\\\\rm V = 4.7 \times 10^{-5} \ \ m^3[/tex]
Then the conversion of m³ to milliliters will be
4.7 × 10⁻⁵ m³ = 4.7 × 10⁻⁵ × 10⁶ millileters
4.7 × 10⁻⁵ m³ = 47 milliliters
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does someone mind helping me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the value of c using Pythagoras theorem ~
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 40 {}^{2} = {24}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: b² = \sqrt{40² - 24²} [/tex]
[tex]\qquad \sf \dashrightarrow \: b= \sqrt{1600-576} [/tex]
[tex] {\qquad \sf \dashrightarrow \: b= \sqrt{1024}} [/tex]
[tex]\qquad \sf \dashrightarrow \: b = 32 \: units[/tex]
The length of "b"
Solution:[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]
[tex] {b}^{2} = {40}^{2} - {24}^{2} [/tex]
[tex]b = 1024[/tex]
[tex]b = \sqrt{1024} [/tex]
[tex]b = 32[/tex]
Hence, the length of "b" is 32.
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
Area=16.65
Perimeter=26.3
Step-by-step explanation:
To find the area of a triangle, you must multply the length and height and divide by two. An equation like this could help find the area of a triangle: A=2÷(L×W) In your case, 7.4 is the length and 4.5 is the base. Multiply 7.4 and 4.5 together and divide the result by 2.
To find the perimeter, just add 7.4, 6.3, and 12.6 together. 4.5 doesn't get added, only the 3 sides of the triangle do. Don't forget to label the measurements.
Do you still have to do summer school if you fail one class? (serious question please answer, and yes i know its in math i just need an answer!)
Answer:
In some schools yes but it depends is it a required class? if so then you'd have to retake it.
Answer:
well you might not have to do summer school but you might have to take a course during summer for that class you failed or you may have to redo that class in order to get the points needed to pass but also it depends because even though you might not pass that one class you can still pass the grade but you will be in the same class or a lower standard for that subject now i am not sure it honestly all depends on your teacher and school if they want you to go the next grade but they can also talk to teachers in the next grade to help you so that you can still pass but you have to do lower standard work for the class in that next grade
Step-by-step explanation:
hope it helps let me know if you have anymore questions or if you need anymore help understanding or if you need help with work so that you can pass i would be happy to help you
Can anyone help solve this
In your Own words explain what in algebra the deffintion of
Mode
Median
Range
I will try to give brainliest to person who discribes in own words
Answer:
The mean means average. To find it, add together all of your values and divide by the number of addends. The median is the middle number of your data set when in order from least to greatest. The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.
Step-by-step explanation:
hope this helps
have a good day <3
Answer:
hope this helps!!
Step-by-step explanation:
Mode: Are there two students who have the same number of children (could be zero)? If yes, that’s the mode. If not, there is no mode. Median: Put all five numbers in a row from lowest to greatest. The one in the middle is the median. Range: Take the difference of the greatest minus the lowest and that is the range.
QUICKLY HELP AND LOOK AT THE PICTURE BELOW!!!
Answer:
the number of inches the grass grows each day
Answer:
A
Step-by-step explanation:
Simplify the expression. Write your answer
Which is the graph of the rose curve
Rose curve equations have two forms: r = a cos(nθ) and r = a sin(nθ) where a ≠ 0 and n is a positive integer. Petals have length determined by a. If n is odd, the number of petals is n. However, if n is even, the number of petals is 2n.
hope it helps aaa ^^'
A video store specializes in three types of movies: children's, American West, and horror. It's known that:
60% of children's movies plus 50% of westerns account for 30% of all movies.
20% of children's movies plus 60% of westerns plus 60% of horror movies represent half of all movies.
X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.
[tex]\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\[/tex]
Simplifying the system of equations, we have
[tex]\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\[/tex]
[tex]\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500[/tex]
[tex]y&=500+100=600\\ z&=3(500)-600=900[/tex]
The video store has 500 children's movies, 600 westerns and 900 horror movies.
The volume of a rectangular pyramid is 176 units³. If the length of the rectangular base measures 6 units and the width of the rectangular base measures 11 units, find the height of the pyramid.
Answer:
2.66unit
Step-by-step explanation:
volume=176
l×b
6×11=66
Therefore,176÷66=2.66unit
16/7=8x
What is X in the equation
[tex] \frac{16}{7} = 8x \\ 8x = \frac{16}{7} \\ 8x \div 8 = \frac{16}{7} \div 8 \\ x = \frac{16}{7} \div 8 \\ x = \frac{16}{7} \times \frac{1}{8} \\ x = \frac{2}{7} [/tex]
Answer:
2/7=x
Step-by-step explanation:
16/7= 8x
8x= 16/7
x=16/7 x 1/8
x=2/7
Hope this helps!!
Solve for the value of x
Answer: 12
Step-by-step explanation:
Find the distance between the points (-8, 9) and (2, 9).
units
Answer:
Distance=√(x2−x1)2+(y2−y1)2
Step-by-step explanation:
How to Find Distance Between Two Points?
Note down the coordinates of the two given points in the coordinate plane as, A(x1,y1 x 1 , y 1 ) and B(x2,y2 x 2 , y 2 ).
We can apply the distance formula to find the distance between the two points, d = √[(x2 x 2 − x1 x 1 )2 + (y2 y 2 − y1 y 1 )2]
Please someone help me with my question
Answer:
∠A≅∠Z AB ≅ ZX
∠B≅∠X AC ≅ ZY
∠C≅∠Y BC ≅ XY
ΔCBA ≅ ΔYXZ
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle