1 litre is equal to how many decalitre
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answer:
She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Step-by-step explanation:
Continuous compounding:
The amount of money earned, after t years, in continuous compounding, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.
This means that [tex]r = 0.057[/tex]
How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]7600 = A(0)(1+0.057)^7[/tex]
[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]
[tex]A(0) = 5156[/tex]
To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.73 million households with a sample standard deviation of 0.46 million family units. Over the same 12 months Spotify was used by an average of 2.17 million families with a sample standard deviation of 0.33 million. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean number of households picking either service.
Answer:
There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
Step-by-step explanation:
The parameters of the music streaming service are;
The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million
The standard deviation, σ₁² = 0.46 million
The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million
The standard deviation, σ₂² = 0.33 million
The significance level = 0.01
Hypothesis testing with different population standard deviation
[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]
H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]
H₁: [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]
[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]
p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714
Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis
We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service
% growth Growth factor
a 19% (1 + 0.19) = 1.19
b 3% ____________________
c 9.1% ____________________
d 41.3% ____________________
Answer:
growth factor for what?
What is the percent of increase from 54 to 81?
Answer:
50• A change from 54 to 81 represents a positive change (increase) of 50%
Help please I really don’t understand this
Answer:
78.5/250 = 31.4%
Step-by-step explanation:
divide the area of the circle (which is 25π = 78.5 sq in) by the area of the rectangle (which is 25x10 = 250 sq in)
Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Answer:
Step-by-step explanation:
Pythagorean theorem,
Hypotenuse² = base² + altitude²
Substitute the known values and you can find the missing length
What is 33/16 rounded to the nearest tenth?
Answer:
2.1
Step-by-step explanation:
33/16=2.06=2.1
The sum of half of a number and 49 is 2 1/4 of the number. Find the number
Answer:
x = 28
Step-by-step explanation:
given, x/2 + 49 = 21/4
x/2 + 49 = 9x/4
2x +196 = 9x
7x = 196
x = 28
I hope this helps a little bit.
A football team had 32 players last year. This year, the team increased by 25%. How many players are on the team this year
Answer:
40 players
Step-by-step explanation:
Well if it's a 25% increase and 32=100% then 25%=8 players because 32/4=8 then add it to 32 to get 40 players
Answer:
40 players
Step-by-step explanation:
32x0.25=8
32+8=40
Which object has the greatest inertia?
1 lb of butter
2 lb bag of sugar
5 lb bag of apples
10 lb bag of potatoes
Answer:
Its D
Step-by-step explanation:
I took the quiz and got 100
A parallelogram has an area of 37.72 m² and a height of 4.6 m.
How long is the base of the parallelogram?
Enter your answer as a decimal in the box
Answer:
8.2m
Step-by-step explanation:
Formula : Area = base x height
rearrange : Base = area ÷ height
37.72÷4.6=8.2m
Answer:
8.2
Step-by-step explanation:
Matt started his own company where he rents used textbooks to struggling college students at multiple Universities for a low rate. Over the last few years Matt has been able to collect a total of 250 textbooks for his business at Temple University. Unfortunately, students can be irresponsible and lose their textbook rental causing a loss for Matt. Based on past information Matt has collected the data below for Temple University based on losses per semester. #
of losses per semester Probability
0 0.08
5 0.16
10 0.28
15 0.32
20 0.14
25 0.02
a. Calculate the expected frequency of losses per semester. (2 points)
b. Calculated the variance. (2 points)
Now assume that when losses do occur, they are non-random and losses equal $60.
c. Calculate the expected losses per semester? (2 points)
d. Calculate the expected losses for ALL textbooks per semester. (1 point)
e. Calculate the expected losses for ALL textbooks for the next 2 school years (4 semesters). (1 point)
Answer:
a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02
Expected frequency of losses per semester = 11.7 losses per semester
b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02
Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378
Variance = 35.61
c. As losses equal $60, expected losses per semester = 11.7*$60 = $702
d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.
Answer:
7 square inches hope this helps brainlest plzzz
Step-by-step explanation:
can someone help me please
Answer:
A' = (1, 2)
B' = (2, 3)
C' = (2, 4)
Step-by-step explanation:
Ok so you are given the scale factor of 1/3. You will basically multiply 1/3 to all of the values of point A, B, and C in order to find the values of point A', B', and C'.
A = (3, 6) ---> 3 × 1/3 = 1 and 6 × 1/3 = 2
A' = (1, 2)
B = (6, 9) ---> 6 × 1/3 = 2 and 9 × 1/3 = 3
B' = (2, 3)
C = (6, 12) ---> 6 × 1/3 = 2 and 12 × 1/3 = 4
C' = (2, 4)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
please help asap i didn’t pay attention in class
Answer: omg you are me
Step-by-step explanation:
The vaccination center located at Watsessing school supplies turkey and
veggie sandwiches to all workers. Mr. Milano organized the ordering of 80
sandwiches in all, 90% of which were turkey. How many turkey sandwiches did
they serve?
Statements Reasons Given: AWXY is isosceles with legs WX and WY: AWVZ is isosceles with legs WV and WZ. Prove: AWXY – AWZ 1. given 1. WXY is isosceles with legs WX and WY 2. given 2. AWZ is isosceles with legs WV and WZ Z 3. WX EWY, WE WZ 3. def. of isosceles traingle W 4. def. of V 5. (WZ}(Wx) = (WY) (WZ) 5. multiplication property 6. (WZ)(WX) = (WYWY Complete the steps of the proof. WV 7. property of proportion 8. ZWE ZW 8. reflexive property 9. AWXY - AWZ
Answer:
1. WX = WY;WV =WZ
2. substitution property
3. SAS similarity theorem
Step-by-step explanation:
Complete steps of the proof are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Triangle WXY is isosceles with legs WX and WY
And, Triangle WVZ is isosceles with legs WV and WZ.
Now, For the proof of the ΔWXY – ΔWVZ;
The complete sentence of the table are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
Thus, Complete steps of the proof are,
4) WX = WY
6) By definition of congruency, Put WZ = WV
9) By SAS congruency.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
What is the volume of a cube with a side length of 3t5units?
Cube V = s3
Answer:
V=a3=33=27
Step-by-step explanation:
sorry if its wrong
Which of the following situations result in an answer of 2/3? Select three that apply.
A: three dogs each drink 2 cups of water. How many cups of water does each dog drink in all?
B: Two apples split among 3 people. How much of an apple does each person recieve?
C: Two gallons of water needed to fill 3 fish tanks of an equal size. How many gallons of water are required for each tank?
D: Three cupcakes are divided among 2 children. How much of a cupcake would each children receive?
E: Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
F: Three cats share 2 cans of tuna. How much of a can does each cat receive?
25X -5 =
10 + 70x=
6y + 14-8y=
Helppp I have 3 more Minutess:(
Answer:
X=-5
x=-7
Y=12
Step-by-step explanation:
can u guys help me with y?
Answer:
Step-by-step explanation:
Given condition
y = x + 5
When x = - 1
y = - 1 + 5 = 4
when x = 0
y = 0 + 5 = 5
when x = 1
y = 1 + 5 =6
hope it helps :)
sketch each graph of each line y=-7/3x+4
Answer:
Step-by-step explanation:
31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
made a total $5700. How many cars and vans did the business rent that day?
A 8 cars and 22 vans.
B 10 cars and 20 vans
C 20 cars and 10 vans
D 22 cars and 8 vans
Answer:
D. 22 Cars and 8 Vans
Step-by-step explanation:
1. You multiply 22 x 150 = 3,300.
2. Then you multiply 300 x 8 = 2,400.
3. Next, add 3,300 + 2,400
4. That equals 5700.
Hopefully, that helps!
Someone please help me
The hanger image below represents a balanced equation.
Select an equation that represents the image.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
5m=505m=505, m, equals, 50
(Choice B)
B
\dfrac{m}{5}=50
5
m
=50start fraction, m, divided by, 5, end fraction, equals, 50
Find the value of mmm that makes the equation true.
m=m=m, equals
Answer:
The answer is A
Step-by-step explanation:
5m=505m=505,m equal, 50
Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2
Answer:
13
Step-by-step explanation:
Can somebody help me?
Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?
Answer:
one is 2 inches bigger that the other.
Step-by-step explanation:
becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .