Answer:
p=2982
Step-by-step explanation:
Rate of interest = 6 % p.a
No of year = 12
P.V = $ 25000
Installments (p) = ?
We know the formula of P.V annuity
P.V = P[ 1-(1+r)-n/r]
25000 = P[1-(1+0.06)-12/0.06]
P = 2982 will withdraw annuity
The amount draw at the end of 12 years is $50305.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest [tex]A=P(1+\frac{r}{100})^{nt}[/tex].
Given that, principal = $25000, rate of interest=6% and time period = 12 years.
Here, Amount = 25000(1+6/100)¹²
= 25000(1.06)¹²
= 25000×2.0122
= $50305
Therefore, the amount draw at the end of 12 years is $50305.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
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How would I solve this and what would I get?
Lesson 13.2 Checkpoint
Find the unknown length x in each right triangle, to the nearest tenth.
Answer:
Step-by-step explanation:
1.
x/ sin 90 = 19 / sin 24 --> x ≈ 46,71
Answer:
x≈46.7 m<u≈ 47 m<w≈43
Step-by-step explanation:
sin24=19/x
19/sin24≈46.7=x
m<u=sinu=11/15
arcsin11/15≈47
m<w=cosw=11/15
arccos11/15≈43
What is the slip of the line shown below?
Answer:
Assuming you mean slope, the answer would be ...
2
The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.
When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.
Therefore, your answer is 2
Hope this helps!
Answer: 2
Step-by-step explanation:
The slope would be 2 :)
Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of the function. The initial value is . The simplified base is . The domain is . The range is .
Answer:
The answer is given below
Step-by-step explanation:
Given that:
[tex]f(x)=\frac{1}{3}(81)^ \frac{3x}{4} \\Using\ exponent\ rule:a^{xy}=a^xa^y\\f(x)=\frac{1}{3}(81^{1/4})^ {3x}\\f(x)=\frac{1}{3}(3})^ {3x}\\f(x)=\frac{(3)^ {3x}}{3^1} \\Using\ exponent\ rule:a^x/a^y=a^{x-y}\\f(x)=3^ {3x-1}[/tex]
The function is an exponential function.
The domain is the set of all independent variables i.e the input values (x values). For an exponential function, the domain is the set of all real numbers. That is:
Domain: x = (-∞, ∞)
The range is the set of all dependent variables i.e the values of y. For an exponential function, the range is the set of all real numbers greater than zero. That is:
Range: y = (0, ∞)
Answer:
initial value 1/3
simplified base 27
domain is all real numbers
range is y>0
Step-by-step explanation:
Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11
Step-by-step explanation:
[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions
[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]
no solutions
A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips
Answer:
$112.50
Step-by-step explanation:
so the first thing you would do is add 12 to 13 to get
12 + 13 = 25
then multiply 25 by 4.50 to get
25 x 4.50 = 112.50
so the average number of tips the server has received is $112.50
‼️‼️10 points‼️‼️
1. Is the relationship shown by the data linear. If so, model the data with an equation.
A. The relationship is linear; y-5=-4/5(x-5).
B. The relationship is not linear.
C. The relationship is linear; y-5=5/4(x-1).
D. The relationship is linear; y-1=4/5(x-5).
Answer:
The correct answer is B.
Step-by-step explanation:
There is no clear rule regarding the relationship with these numbers. So it is not linear.
Good Luck!
In an experiment, a fair coin is tossed 4 times and the number of heads that occurs is recorded.
Eighty trials of the experiment are run.
The table shows the frequency of 0, 1, 2, 3, or 4 heads occurring in the trials.
Number of heads
0
1
2
3
4
Frequency
4
8
36
20
12
Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.
Answer:
Step-by-step explanation:
Hello!
The experiment consist in "a fair coin is tossed 4 times" the recorded variable is X: number of heads obtained after tossing the coin 4 times
The possible values for this variable: X: 0; 1; 2; 3; 4
The frequencies observed for each possible value of X after repeating the experiment for n=80 times
fi: 4; 8; 36; 20; 12
To create the probability distribution you have to calculate the probability for each value of X, by doing the following calculation [tex]p(xi)= \frac{fi}{n}[/tex]
p(X=0)= p(0)= 4/80= 0.05
p(X=1)= p(1)= 8/80= 0.10
p(X=2)= p(2)= 36/80= 0.45
p(X=3)= p(3)= 20/80= 0.25
p(X=4)= p(4)= 12/80= 0.15
For this to be a probability of distribution the following conditions are to be met:
p(xi)≥0∑p(xi)=1All calculated probabilities are at most zero.
∑p(xi)= 0.05+0.10+0.45+0.25+0.15= 1
xi | 0 | 1 | 2 | 3 | 4
fi | 4 | 8 | 36| 20 | 12
p(xi)| 0.05| 0.10| 0.45| 0.25| 0.15
F(Xi)|0.05| 0.15 | 0.60| 0.85| 1
I hope this helps!
In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°? Angle1 Angle4 Angle6 Angle8
Answer:
<1option A is the right option.
Here,
<3=105°
<1=<3(being vertically opposite angles)
<1=105°
Explanation:
Please see the attached picture.
There,
<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.
Hope this helps..
Good luck on your assignment...
Answer:
1
Step-by-step explanation:
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.
Darius's scores: 96,54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie, Who is correct?
O Barb is correct if both the mean and median scores are considered.
O Barb is correct if only the median score is considered
O Darius is correct if both the mean and median scores are considered,
O Darius is correct if only the median score is considered.
Answer:
D. I hope it helps!
Step-by-step explanation:
Darius is correct if only the median score is considered.
just took the quiz on edg.
Write 90 cm as a fraction of 2.4 m. Give your answer in its simplest form.
Answer:
[tex]\frac{3}{80}[/tex]
Step-by-step explanation:
90 cm in metres is = 0.09 m
Writing it as a fraction of 2.4 m
=> [tex]\frac{0.09 m}{2.4 m}[/tex]
In simplest form
=> [tex]\frac{3}{80}[/tex]
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown. 8x + 7y = 39 4x – 14y = –68
Answer:
(1/2, 5)
Step-by-step explanation:
8x + 7y = 39
-2(4x - 14y = -68)
-8x + 28y = 136
8x + 7y = 39
add the two equations together
35y = 175
y = 5
8x + 7(5) = 39
8x = 4
x = 1/2
Answer:
Using the linear combination method, you can multiply the first equation by 2 and add the equations to get 20x = 10. Dividing both sides by 20, x = 1/2. To solve for y, substitute 1/2 for x in the equation 8x + 7y = 39 to get 4 + 7y = 39. Solving this equation, y = 5. Checking this in the other equation, 4(1/2) – 14(5) = –68 results in 2 – 70 = –68 or –68 = –68. The solution of the system shown is (1/2, 5). The system 8x + 7y = 39 and 20x = 10 is formed by replacing 4x –14y = –68 by a sum of it and a multiple of 8x + 7y = 39. Since 20(1/2) = 10, the system 8x + 7y = 39 and 20x = 10 also has a solution of (1/2, 5).
Step-by-step explanation:
exactly from EDGE 2020
If you borrow $900 for 4 years at an
annual interest rate of 5%, how
much will you pay altogether?
What is the value of m in the equation
zm = 16, when n = 8?
Step-by-step explanation:
nm=16
m=16/n
m=16/8
m=2
square root of 524176 by long division
Answer:
724 is the square root of 524176.
Step-by-step explanation:
Square root of 524176 by long division method.
[tex]\sqrt{524176}[/tex] = 7) 52 41 76 (724
7 49
14 2) 341
2 284
144 4) 5776
5776
0
Therefore, square root of 524176 is 724.
the graph of y=|x| is transformed as shown in the graph below , which equation represents the transformed function
Answer:
[tex]y=|\frac{1}{4}x|[/tex]
Step-by-step explanation:
Given that
transformed graph of the parent graph y=|x|
The transformed function is shown below:-
We see the graph at y=1 x reaches to 4 i.e, x=4
In the Same manner at y = 1
and x reaches to -4
that is
x=-4
Now, as per the options that are given in the question
The graph would be satisfied these two points would become transformation
[tex]y=|\frac{1}{4}x|[/tex]
Now,
At x=4
[tex]y=|\frac{1}{4}x|[/tex]
[tex]y=|\frac{1}{4}(4)|[/tex]
y = 1
we can say that the point totally satisfied the equation.
So, Option 1 is right that is
[tex]y=|\frac{1}{4}x|[/tex]
With the help of a diagram we can go through as attached.
The Function for given graph will be [tex]y=|\frac{1}{4} x|[/tex]
If the graph of f(x) is given, then the graph of [tex]f(\frac{1}{k} x)[/tex] is stretch by a factor of k.
Here function is given that, y=|x|
From given graph it is observed that, graph is stretched by a factor of 4.
So that function for given graph will be,
[tex]y=|\frac{1}{4} x|[/tex]
Graph is attached below,
Learn more:
https://brainly.com/question/16250181
What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3? (PLEASE HELP!!!)
Answer:
a7 = 38
Step-by-step explanation:
n is the term indicator
an = 5n+3
Let n=7 if we are looking for the 7th term
a7 = 5*7 +3
a7 = 35+3
a7 = 38
Suppose that $f$ is an invertible function from $(-\infty,\infty)$ to $(-\infty,\infty)$. If $f(f(x))=x$, find $f(x)-f^{-1}(x)$.
Answer:
0
Step-by-step explanation:
I did this in AoPS alcumus
Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.
Answer:
1/4 or 0.25
Step-by-step explanation:
1)January
2)February
3)March
4)April
5)May
6)June
7)July
8)August
9)September
10)November
11)October
12)December
Months that have less than five letters in its name
June
July
May
Probability= successful outcome ÷ possible outcone
Successful outcome=3
Possible outcome=12
Probability of Hannah guessing her brother's birthday=3÷12=1/4
Lesson 6.2: applications of linear systems this is holding me back from completing the course. Please help me guys and girls.
Answer:
see explanation
Step-by-step explanation:
When x = 5 then x > 3 , thus
f(5) = - 1
When x = 3 then x ≤ 3 , thus
f(3) = - 2x + 2 = - 2(3) + 2 = - 6 + 2 = - 4
-----------------------------------------------------------
When x = - 4 then - 4 ≤ x ≤ 1 , thus
f(- 4) = 2
When x = 3 then x > 1 , thus
f(3) = - x + 1 = - 3 + 1 = - 2
Answer:
Step-by-step explanation:
-2x+2 , x≤ 3
f(x)=-1 , x>3
f(5) = -1 since 5 is greater than 3 you have to use the second equation where x>3
f(3)=-2x+3 use the second equation because the value of x is ≤3
f(3)=-6+3=-3
second question:
-x-4 when x<-4
f(x)= 2 when -4≤x≤1
f(x)=-x+1 when x>1
f(-4) use the second equation because x=-4
f(-4)=2
f(3)=-3+1=-2 use the third equation because x>1 and 3 is greater than 1
blessings has cherries
she eats 1/4 of them
she has 18 cherries left
how many did she have at the beginning
Answer:
24 cherries
Step-by-step explanation:
18 is 75% of the original amount, meaning 25% will be 6 cherries.
So, 18 + 6 = 24, the original amount
Answer:
24 cherries
Step-by-step explanation:
If she has 18 now, and ate 1/4, its easiest to think of 18 as the other 3/4. When divided by 3, we get 6. If 18 is three sets of 6, you just add the fourth one to it to find the original amount. The answer is 24.
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Describe his error and write the correct expression. * Part B: How much will Joel pay for his tablet? Show your work on a separate piece of paper and upload the picture.
Answer:
Part A) The correct Expression : (1.05)(190)(0.8)
=> The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B) $159.60
Step-by-step explanation:
Part A:
To calculate the computer cost, we need to find out the selling price first.
There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8
So, We'll multiply the cost price by 0.8
=> (190)(0.8)
But, there is a sales tax of 5%
So, the selling price with cost price will be:
=> 100% + 5% = 105% => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)
So, the expression will be:
=> (1.05)(190)(0.8)
The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B)
Joel will pay for the tablet:
=> (1.05)(190)(0.8) [We used the above expression]
=> $159.60
Wich statement must be true ??
Answer:
D is the correct answer
Expand and then collect the following expression 5(2b+1)+6(3b+2)
Step-by-step explanation:
10b+5+18b+10
28b+15 is the answer
Answer:
28b+17
Step-by-step explanation:
=> 5(2b+1) + 6(3b+2)
Expanding the brackets
=> 10b+5+18b+12
Combining like terms
=> 10b+18b+5+12
=> 28b+17
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
Answer:
0.59375
Step-by-step explanation:
In a uniform distribution the probability that the time t is greater than any given value, X, is:
[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]
In this problem, the limits of the distribution are a = 0 and b = 8 minutes.
For X =3.25 minutes:
[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Calculation of the probability:Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.
So, here the probability is
[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]
= 0.59375
Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Learn more about probability here: https://brainly.com/question/15241200
Justin plans to attend a four-year college. He has estimated the costs per year.
Tuition = $2,900
Other educational expenses = $280
Housing and living expenses = $4,100
Justin’s counselor estimates he will receive $3,500 a year in grants. He also will be eligible for a work-study program that pays $2,800 per year. Justin also plans to save enough money to contribute $500 each year.
Justin’s plan doesn’t cover his costs completely. What are his options for covering the rest of his costs? Select all that apply.
He could try to save more money.
He could get a student loan for the extra amount he needs.
He could apply for a scholarship.
He could ask his friends to loan him money.
He could ask his family to contribute.
Answer:
A, B, C, E
Step-by-step explanation:
I literally just did the question on edge.
Answer:
a,b,c,e
Step-by-step explanation:
We want to find the zeros of this polynomial:
p(x) = (x2 + 4x + 3)(x2 – 4)
Plot all the zeros (x-intercepts) of the polynomial in the interactive graph.
у
Answer:
x=-3 x=-1 x=2 x=-2
Step-by-step explanation:
p(x) = (x^2 + 4x + 3)(x^2 – 4)
Set this equal to zero to find the x intercepts
0 = (x^2 + 4x + 3)(x^2 – 4)
Using the zero product property
(x^2 + 4x + 3) =0 (x^2 – 4) =0
Factor
(x+3)(x+1) =0 (x-2) (x+2)=0
Using the zero product property
x+3 =0 x+1 =0 x-2 =0 x+2 =0
x=-3 x=-1 x=2 x=-2
which shape has a line of symmetry that can be drawn through the figure?
Answer: Option D.
Step-by-step explanation:
A figure has a line of symmetry if we can draw a line through the figure, in such way that the line cuts the figure in exactly two equal halves.
Then any figure that can be cutin exactly two halves, is a correct answer to this question.
Then:
For a circle, the line of symmetry is the diameter of the circle.
For the square, the line of symmetry can be obtained by cutting the square with a line that is perpendicular to one of the sides, and cuts that side exactly on the midpoint.
For an equilateral triangle, the line of symmetry is the line that cuts any base in the midpoint and also passes through the opposite vertex.
Then all the figures are correct options, then the correct option is D
Answer:
D is correct because all have line of symmetry
PLEASE HELP!!
triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc
Answer:
-7,-6,-3.these are the vertices
15 POINTS! I WILL MARK YOU BRANLIEST! :) Find the volume of this prism below...
Answer:
840 cm³
Step-by-step explanation:
Split the prism into two cuboids andd add their volumes.
The volume = l × w × h
4 × 6 × 5 + 15 × 6 × 8
120 + 720
= 840
The volume of the prism is 840 cm³.
Answer:
Volume = 840 cm³
Step-by-step explanation:
Let's divide the whole prism into 2 rectangular prism:
Rectangular Prism 1:
=> Volume = [tex]Length * Width * Height[/tex]
=> Volume = 8*15*6
=> Volume = 720 cm³
Rectangular Prism 2:
=> Volume = [tex]Length * Width * Height[/tex]
=> Volume = 5*4*6
=> Volume = 120 cm³
Whole Prism:
=> Volume = 720+120
=> Volume = 840 cm³