Answer:
In 25 years I will have $ 27,137.65. Therefore, I will earn $17,137.65 interest.
Step-by-step explanation:
Given that I deposit $ 10,000 in an account earning 4% interest compounded monthly, to determine how much will you have in the account in 25 years and how much interest will I earn, the following calculation must be performed:
10,000 x (1 + 0.04 / 12) ^ 25x12 = X
10,000 x (1 + 0.00333) ^ 300 = X
10,000 x 2.7137 = X
27,137.65 = X
Therefore, in 25 years I will have $ 27,137.65. Therefore, I will earn $17,137.65 interest.
What is 3/x - 2/x = 1/5
Answer:
x=5
Step-by-step explanation:
See image below:)
Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age)
Answer:
24 and 32
Step-by-step explanation:
Let their present ages be x and y
Therefore, x
[tex] \frac{x}{y} = \frac{3}{4} [/tex]
we have 4x = 3y
4x - 3y = 0......................(I)
After four years,
[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]
we have, 9(x + 4) = 7(y + 4)
9x + 36 = 7y + 28
9x - 7y = -8 ........................(ii)
Solving (I) and (ii) simultaneously
4x - 3y = 0
9x - 7y = -8
multiply eqn I by 9 and equation (ii) by 4 and subtract result
36x - 27y = 0...............(iii)
36x - 28y = -32...........(iv)
subtracting (iv) from (iii) we have,
y = 32
substituting y back in equation (I)
4x - 3y = 0
4x -3(32) = 0
4x - 96 = 0
4x = 96
x = 24
Their ages are 24 and 32
Module 07: Project Option 1
Instructions
First, you need to come up with an activity. If you are having trouble thinking of what to do, here are some ideas:
• How many jumping jacks can you do in a minute?
• How many times can you write your full address in a minute?
• How many points can you score in a game in three minutes?
• How many pages of a book can you read in four minutes?
• How far can you walk in five minutes?
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.
Now that you have decided what your activity is going to be, it’s time to get started.
Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
2. How long did you spend doing your activity?
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
4. Which of these variables is your dependent variable?
5. Which one is the independent variable?
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
(Questions 1 to 3 are worth 1 point each; questions 4 to 6 are worth 2 points each.)
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).
You may use the table below for your variables.
Time (minutes)
0 0
1
2
3
4
5
Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.
Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
Follow-up questions
7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
8. How long would it take you to reach 100 for the number of times you did your activity?
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.
Answer:
See below
Step-by-step explanation:
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.
Liked that. So let's be creative.
Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.
2. How long did you spend doing your activity?
Suppose it took you 5 minutes.
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
You did 100 joge suburi in 5 minutes. It means [tex]\dfrac{100}{5} = 20 \text{ per minute}[/tex]
4. Which of these variables is your dependent variable?
If you want to calculate how much suburi you did in an amount of time [tex]x[/tex], given the time in minutes, we can write the function
[tex]y = f(x)=20x[/tex]
Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.
Considering the example: I did 24 sit-ups in one minute.
sit-ups is the dependent variable and the number of minutes represents the independent variable.
Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be
[tex]g(x) = 24x[/tex]
5. Which one is the independent variable?
The time in minutes.
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).
You may use the table below for your variables.
Time (minutes) Quantity of suburi
0 0
1 20
2 40
3 60
4 80
5 100
Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.
This part I will let it to your. But is is just a linear graph.
Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
[tex]y = f(x)=20x, \forall x \in\mathbb{Z}_{\geq 0}[/tex]
[tex]y: \text{number of suburis}[/tex]
[tex]x: \text{time}[/tex]
7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
For [tex]x=12[/tex]: [tex]y = f(12)=20\cdot 12 = 240[/tex]
240 suburis
8. How long would it take you to reach 100 for the number of times you did your activity?
5 minutes.
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.
The function is the best because it describes all the variables easily.
The store charges $2.50 for a bottle of soda and $1.25 for a bottle of water. Write an equation in standard form for the number of soda (s) and water (w) bottles that you can buy with $15. PLZ HELPPPP
Answer:
2.50 + 1.25= 3.75
15.00 - 3.75= 11.25
Step-by-step explanation:
Solve for x
(4/y) + (3/x) = 8
(6/y) + (5/x) = 13
Answer:
0.5
Step-by-step explanation:
Given data
[tex]\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13[/tex]
Now,
4x+3y=8xy......(i)
6x+5y=13xy.......(ii)
Multiply by 5 in equation (i) and by 3 in equation (ii)
20x+15y=40xy.....(iii)
18x+15y=39xy.....(iV)
Solving above equation (iii) and (iv)
2x=xy
y=2
Now, putting the y=2 in equation (i)
4x+3(2)=8x(2)
4x+6=16x
6=12x
x=0.5
Value of x=0.5
Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. What is the (geometric) significance of the dimensions of this largest possible enclosure?
Answer:
Step-by-step explanation:
let the length=x
width=y
P=2(x+y)=128
x+y=128/2=64
y=64-x
area A=xy=x(64-x)=64x-x²
[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]
so A or area is maximum if x=32
y=64-32=32
or it is a square of edge=32 meters.
Given that there were 4 Heads in the first 7 tosses, find the probability that the 2nd Heads occurred at the 4th toss. Give a numerical answer.
Answer:
The probability that the 2nd Heads occurred at the 4th toss is 5.99%.
Step-by-step explanation:
Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:
7 - 4 = 3
4/7 x 3/7 x 3/7 x 4/7 = X
0.571 x 0.428 x 0.428 x 0.571 = X
0.0599 = X
Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.
h(x)=6/(x-3), find h(5)
h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.
We are given the function h(x) below:
[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]
Substitute x = 5 in the equation.
[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]
Simplify in the simplest form.
[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]
Thus h(5) is 3.
Answer
h(5) = 3Hope this helps! Let me know if you have any doubts.
Which of the following is equal to the ratio 5cm:5m:0.02km?
A. 10: 400 C. 1: 100: 400
B. 300:2000 D. 10: 500
Answer:
Its C. When you are getting ratios, we need to convert the units too...
The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
We have to given that;
The ratio is,
⇒ 5cm:5m:0.02km
Now, We can simplify the ratio as;
⇒ 5 cm : 5 m : 0.02 km
⇒ 5 cm : 5 x 100 cm : 0.02 x 100000
⇒ 5 cm : 500 cm : 2000 cm
⇒ 1 : 100 : 400
Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
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If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?
Answer:
the side length of the hot tub = 4.8ft
Step-by-step explanation:
Scale Factor = 5
Also,
B'C' = 24 feet
Since both are squares so both have all sides equal.
Square A'B'C'D' is dilated by a scale factor of 5
So,
AB = BC = CD = DA = 24/5 = 4.8 ft.
i hope this helps you
The length of the one side of the hot tub is 4.8 ft.
What is Scale Factor?
The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.
If the each side of the pool is 24 ft.
The length of one side of hot tub = 24/5 = 4.8 ft.
Thus, the length of the one side of the hot tub is 4.8 ft.
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Jasmine drinks 500 ml of water 3 times a day. How many days would it take to drink 9 liter of water?
Answer:
6 days
Step-by-step explanation:
1 L = 1000 mL
3 days = 1500 mL = 1.5 L
9 L divided by 1.5 L = 6 days
IF YOU KNKW ABOUT THIS PLEASE HELP .... What is the volume of the cone shown below?
36
10
A. 3007 units
B. 12367 units3
C. 9007 units3
D. 1200 units 3
Answer:
A. 300π units³
Step-by-step explanation:
Formula for volume of a cone = ⅓πr²h
Where,
radius (r) = ½(10) = 5 units
height (h) = 36 units
Plug in the values and find the volume in terms of π
Volume of the cone = ⅓*π*5²*36
Volume of the cone = 300π units³
Which equation represents the slope-intercept form of the line below?
.
y-intercept = (0, 2)
slope = -
O A. y=-x-2
O B. y=-3x+2
C. y=2x-3
Answer:
B
Step-by-step explanation:
Let me know if you need a detailed explanation.
Hope this helps!
What did she do wrong??
Answer:
She did nothing wrong
You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight. Give your answer as a decimal, to two places
Answer:
Margin of error = 4.21 ounces
Step-by-step explanation:
According to the Question,
Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ouncesTherefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces
Thus, Margin of error = [tex]Z_{critical}[/tex] × σ / √n ([tex]Z_{critical}[/tex] at α=.010 is 1.645)Putting The Values, We get
1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21
Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces
How many and what type of solutions does 7x^2−4x+3 have? 1 rational solution 2 rational solutions 2 irrational solutions 2 nonreal solutions
Answer:
2 non real solutions.
Step-by-step explanation:
We need to use discriminant,
for ax²+bx+c=0
The discriminat is b²-4ac
If the discriminant is,
→ less than 0, then 0 real solutions
→ equal to 0, then 1 real solutions
→ more than 0, then 2 real solutions
Given that,
7x²−4x+3=0
a=7, b=-4, and c=3
→ (-4)²-4(7)(3)
→ 16-84
→ -68
You can see this is less than 0, then non real solutions. [2 nonreal solutions]
Answer:
Solution given:
7x²-4x+3=0
taking common 7
7(x²+4/7*x+3/7)=0
x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0
(x+2/7)²=-17/49
x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]
x=±√(17)/7-2/7
taking positive
x=√(17)/7-2/7
x=0.39
taking positive
x=-√(17)/7-2/7
x=-0.87
2:unreal number
M∠1 is less than m∠2 by 40 degrees. What is m∠1 and m∠2
if sin (A+B)=1 and tan (A-B)=1/sqroot 3
are acute angles. find out the value of A and B
Answer:
A = 60° , B = 30°
Step-by-step explanation:
[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]
[tex]A = 60^\circ[/tex]
[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]
Find the circumference of this circle
using 3 for T.
C ~ [?]
2
C = 2Tr
Answer:
12Step-by-step explanation:
Formula:
C = 2πrGiven:
r = 2, π = 3The circumference:
C ≈ 2*2*3 = 12Hope this help!!!
Have a nice day!!!
what is the area of Ghana?
Answer:
its 238,535km²
Step-by-step explanation:
i hope it helps alot
What is the area of Ghana?
ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
How would you classify the number 121?
A. Perfect square
B. Perfect cube
C. Both a perfect square and a perfect cube
D. Neither a perfect square nor a perfect cube
A . Perfect square
Step-by-step explanation:
This is your answer
Hope this helps you :)
Answer: B- Perfect cube
Step-by-step explanation: I am smort
In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches
Answer:
The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.
Answer:
the answer is B: 7.7 inches
Step-by-step explanation:
did the test go 100%
Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3. AC is 7x- 6. What is
AB?
A line is a one-dimensional shape that is straight, has no thickness. The length of the sides AB is 13 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3, and AC is 7x- 6. Since the three points are collinear therefore, the sum of AB and BC will be equal to AC. Therefore, we can write,
AB + BC = AC
4x - 3 + 2x + 1 = 7x - 6
6x - 2 = 7x - 6
-2 + 6 = 7x - 6x
4 = x
Now, since the value of x is 4, the measurement of AB is,
AB = 4x - 3 = 4(4) - 3 = 16 - 3 = 13 units
Hence, the length of the sides AB is 13 units.
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You are studying the color patterns of a species of iris that can be yellow, purple, or red. If you are performing a chi-squared test to compare the number of each you find in a field to the number you would expect to find based on the pollinators in the area, how many degrees of freedom would you have in your analysis
Answer:
Number of degrees of freedom = 2
Step-by-step explanation:
The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.
Here the total phenotype number is three i.e yellow, purple, or red
Hence, the number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = 3-1
Number of degrees of freedom = 2
Can someone please help? U get points just from typing and I would really appreciate it.
The sum of two consecutive numbers is 131. What are the two numbers?
A. 64 and 65
B. 64 and 67
C. 65 and 66
D. 130 and 131
No links or fake answers pls. Thank you for understanding.
Answer:
C
Step-by-step explanation:
Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.
Answer:
C. 65 and 66
Step-by-step explanation:
Let x be first number
Then x + 1 be next number
x + (x + 1) = 131
2x + 1 = 131
2x = 130
x = 65
x + 1 = 66
Graph the solution to the following linear inequality in the coordinate plane. 5 x - y > -3
Given:
The inequality is:
[tex]5x-y>-3[/tex]
To find:
The graph for the given linear inequality in the coordinate plane.
Solution:
We have,
[tex]5x-y>-3[/tex]
The related equation for this inequality is:
[tex]5x-y=-3[/tex]
The table of values is:
x y
0 3
-1 -2
Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.
Check the given inequality for (0,0).
[tex]5(0)-(0)>-3[/tex]
[tex]0>-3[/tex]
This statement is true. So, the shaded area of the given inequality is towards the origin.
Therefore, the required graph is shown below.
PLS HELP! If f(x) = 3x2 – 2x – 11, what is the value of f(-3)?
9514 1404 393
Answer:
22
Step-by-step explanation:
Put -3 where x is and do the arithmetic.
f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11
f(-3) = 22
_____
Additional comment
Sometimes evaluation is easier if you rewrite the polynomial in Horner form:
f(x) = (3x -2)x -11
f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22
I NEED HELP ASAP ⚠️⚠️
If 1 is a solution to g(x) = 0, what is the other solution?
9514 1404 393
Answer:
A. -1
Step-by-step explanation:
The table shows that g(x) = 0 for x = -1. (third row)
The other solution is x = -1.
Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4.
Answer:
x=-69/7
Step-by-step explanation:
f (-1) f (x)=(x-10) 3+4
-1=(x-10) 3+4
-1=(x-10) 7
You will multiply 7 by (x-10)
-1=7x-70
Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x
-7x=-70+1
-7x=-69
So you will divide both sides by-7
-7x/7=-69/7
x=-69/7
find the number of terms in an AP given that it's first and last terms are a & 37a respectively and it's common difference is 4a
Answer:
Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture
