Answer:
0.46410161514
Step-by-step explanation:
Just search up square root of 12 and then subtract 3 from it.
Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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HELPPP ASAPPP !!!
2. Point A on the graph below represents Nate's house, and Point B represents Nate's favorite restaurant. B A If each unit on the graph represents 3/4 of a mile, how many miles does Nate live from his favorite restaurant?
Answer:
10miles I think
Step-by-step explanation:
The required distance between, Nate's house and the restaurant is 7.5 miles.
From the graph,
Consider point C on the graph, which is 6 and 8 units apart from A and B respectively.
The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units
Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles
Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.
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Solve for x: log4 (- 6) = 3
Answer: x=log (64^-1/6)
10
Step-by-step explanation: I took the test.
Hope this helps :)
Please mark me as brainliest.
The rectangle below has an area of 70y^8 + 30y^6. The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6. What is the length and width of the rectangle?
Answer:
Length: 7y^2+3
Width: 10y^6
Step-by-step explanation:
Given that the rectangle has an area of 70y^8 + 30y^6.
The width of the rectangle is equal to the greatest common monomial factor of 70y^8 and 30y^6.
First let us get the width;
70y^8 = 7 * 10 * y^2 * y^6
30y^6 = 3 * 10 * y^6
Since 10y^6 is common to both factors, hence the width of the rectangle will be 10y^6
Given;
Area = Length * width
A(x) = W(x)*L(x)
A(x) = 70y^8 + 30y^6
A(x) = 10y^6(7y^2+3)
On comparison
L(x) = 7y^2+3
Hence length is 7y^2+3 and width is 10y^6
What is the affect on the graph of the linear parent function f(x) equals X when FX is replaced by FX +3
Answer:
The graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).
Step-by-step explanation:
We know that when we add a constant to the input of the parent function, we get a horizontal shift.
The direction of shifting depends upon the value of the added constantly. If the added constant is negative, the shift of the graph will be left and if the added constant is positive, the shift of the graph will be right.
For example, consider the function
f(x)
so adding \(3\) in the put i.e. \(f(x+3)\) would be a change on the inside of the function, giving a horizontal shift left by 3.
Therefore, the graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).
How to use is 5/8 of a gallon of paint to cover 4/5 of a walk what is the unit rate at which Martha paints in walls per gallon
Answer:
32/25
Step-by-step explanation:
Help me with these worksheets pls
Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.
Answer:
1. yes
2.no
3.yes
4.no
5.yes
please help me with this!!!! help!!! I need the answer! Find the area and permeter of the triangle
Answer: Area 6 Perimeter 12
Step-by-step explanation:
First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6
Answer:
The answer for P=12cm,A=6cm²
Step-by-step explanation:
Perimeter of triangle=a+b+c
P=5+3+4
P=12cm
Area of triangle =1/2bh
A=1/2×3×4
A=2×3
A=6cm²
At the neighborhood grocery, 4.5 pounds of chicken breast cost $49.59. How much would it cost to buy 2 pounds of chicken breast?
You want to test the claim that the average age of students at Gorka College is greater than the average age of students at Yapoah College. You take a simple random sample of 53 people from Gorka and compute an average age of 21.2 (years) and a standard deviation of 1.1. Then you take a simple random sample of 46 students from Yapoah College and compute an average age of 20.7 and a standard deviation of 1.2.
Compute the t-statistic for testing the alternative hypothesis that the average age of Gorka students is greater than the average age of Yapoah students (set things up so that t is positive).
What are the degrees of freedom (using the conservative method)?
What is the P-value?
Is there significant evidence at the 0.05 level to support the hypothesis that the average age of Gorka students is higher than for Yapoah?
Answer:
Kindly check explanation
Step-by-step explanation:
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 > μ2
Given :
x1 = 21.1 ; n1 = 53 ; s1 = 1.1
x2 = 20.7 ; n2 = 46 ; s2 = 1.2
The test statistic :
(x1 - x2) / √[(s1²/n1 + s2²/n2)]
(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]
0.4 / 0.2326682
Test statistic = 1.719
The degree of freedom using the conservative method :
Comparing :
Degree of freedom = n - 1
Degree of freedom 1 = 53 - 1 = 52
Degree of freedom 2 = 46 - 1 = 45
Smaller degree of freedom is chosen ;
The Pvalue from Test statistic, using df = 45
Pvalue = 0.0462
Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
Which angle below is another name for ZABC?
Solve the system using substitution.
x + 3y = 3
3y - 2x = 12
([?], [ ])
Answer: (-3,2)
Step-by-step explanation:
Solving by substitution involves taking one of the equations and basically plugging it into the other.
I would start by taking the first equation and rearranging it to equal a variable. It will be easier to solve using this equation as the x variable is already isolated.
Take: \(x+3y=3\)
Subtract 3y to the other side: \(x=3-3y\)
Now plug this equation in for the value x into the other equation like so:
\(3y-2(3-3y)=12\)
Now there is only one variable to solve in this new equation. Solve for the value y.
Distribute -2: \(3y-6+6y=12\)
Combine Like Terms: \(9y-6=12\)
Add 6 to both sides to cancel: \(9y=18\)
Divide by 9 to both sides to cancel 9: \(y=2\)
So the value y=2.
Now we can plug the value of y back into either equation to now solve for x.
\(x+3(2)=3\)
\(x+6=3\)
\(x=-3\)
Now you have the point (-3,2)
You can check your answers if you would like.
Answer:
(-3,2)
Step-by-step explanation:
In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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Three students wrote equations on their dry erase boards.
Which of these students wrote an equation that is true?
Answer:
13/20 = 65%
Step-by-step explanation:
1/4 = 25%
7/10 = 70%
13/20 = 65%
Only the last one had the correct percentage.
answer quick will give 20 points
Answer:
I think c but I'm not sure
Answer:
C: (-3,6)
Step-by-step explanation:
add both equations
5x+2x+2y-2y=-15+(-6)
7x=-21
x=-3
input x=3 into any equation in system and solve for y
2(3)-2y=-6
-2y=-12
y=6
solution: (-3, 6)
Please someone help me
By applying journal entry concept, it can be concluded that the journal entry will be:
31-12-2022 | Building | $900,000 |
Notes Payable | | $900,000
31-12-2023 | Notes Payable | $30,000 |
Cash | | $120,000
Journal entry is a chronological record of company business activity transactions. These activities keep or make records of any transactions either economic or non-economic.
Transactions in accounting journals are presented in the form of company debit and credit balances.
When the company issued a 10% note for financing the new building, then the journal entry will be:
31-12-2022 | Building | $900,000 |
Notes Payable | | $900,000
Then the company has an interest expense cost of $900,000*10% = $90,000. Whilst the terms provide for annual installment payments of $120,000.
Thus, the first installment is $120,000 - $90,000 = $30,000
To record this transaction, the journal entry will be:
31-12-2023 | Notes Payable | $30,000 |
Cash | | $120,000
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HELP, ASAP PLEASE. 15 POINTS! ( Only 1 picture is attached)
The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million
How to find the input values of functions?
We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;
A(h) = -0.06h² + 2h + 4
where h is the time in number of hours after which the concentration is recorded.
Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;
A(4) = -0.06(4²) + 2(4) + 4
A(4) = -0.96 + 12
A(4) = 11.04 parts per million
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Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of more than one class. If a team is to be composed of one student from each of these three classes, in how many different ways can the members of the team be chosen?
Answer:
9000
Step-by-step explanation:
20 x 18 x 25
20 options for one member
18 options for another member
25 members for the last member
Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?
Time (sec) Frequency
60 to 119 7
120 to 179 24
180 to 239 14
240 to 299 1
300 to 359 4
Answer:
Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:
7 + 24 + 14 + 1 + 4 = 50
Therefore, there are 50 individuals included in the summary.
Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.
Two sides of a triangle measure 8 and 13. what represents x, the possible length in inches of the remaining side
Answer:
the possible number would be 159 in
Step-by-step explanation:
What is |-9+4| ? Pls help
it's 5.
because + × - is -
Answer:
the correct answer is positive 5
Step-by-step explanation:
solve it then if it is negative after you solve it, then change it to a positive
A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?
Answer: The Silo is 44 meters tall
Step-by-step explanation:
To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)
To get snacks for a class trip, Clare went to the "bulk"
section of the grocery store, where she could buy any
quantity of a product and the prices are usually good.
Clare purchased:
+ some salted almonds at $6 a pound
+ some dried figs at $9 per pound.
She spent $75 before tax.
To do: Write an equation that describes the relationship
between pounds of figs and pounds of almonds that
Clare bought, and the dollar amount that she paid.
NOTE:
Let x = pounds of figs
Let y = pounds of almonds
Answer:6x+9y=75
Step-by-step explanation:
The equation shows the relationship between pounds of figs and pounds of almonds that Clare bought, and the dollar amount that she paid will be 6x + 9y = 75.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that to get snacks for a class trip, Clare went to the "bulk" section of the grocery store, where she could buy any quantity of a product and the prices are usually good. Clare purchased:
+ some salted almonds at $6 a pound
+ some dried figs at $9 per pound.
She spent $75 before tax.
The equation can be written as:-
Let x = pounds of figs
Let y = pounds of almonds
Cost of x pounds of figs = 6x
Cost of y pounds of almonds = 9y
Equation:- 6x + 9y = 75
Therefore, the equation shows the relationship between pounds of figs and pounds of almonds that Clare bought, and the dollar amount that she paid will be 6x + 9y = 75.
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A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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1. Find the zeros of the quadratic function by graphing. Round to the nearest tenth if necessary.
f(x) = -2x² + 3x + 1
A 0.8,2.1) is a zero of the quadratic function because it is the peak of the parabola.
B (0,1) is a zero of the quadratic because it is where the parabola crosses the y-axis.
C (-0,3,0) and (1.8,0) are zeros of the quadratic function because it is where the parabola crosses the x-axis.
D (0.8,2.1) and (0,1) are zeros of the quadratic function because it is where the parabola crosses the x-axis.
The correct answer is C: (-0.3,0) and (1.8,0) are zeros of the quadratic function because they are the points where the parabola intersects the x-axis.
The right response is C: (- 0.3,0) and (1.8,0) are zeros of as far as possible since they are the places where the parabola meets the x-turn.
plot the y-get at (0,1),
x = - b/2a
To find the x-heading of the vertex, which is x = 3/4. Substitute this worth into the capacity to find the y-course of the vertex, which is
f(3/4) = 1/8.
Plot the vertex at (3/4, 1/8).
Then, utilize this data to plot the remainder of the parabola. The zeros are the places where the parabola crosses the x-focus, which are close (- 0.3,0) and (1.8,0) obviously following changing in accordance with the closest 10th.
To track down the zeros of the quadratic capacity by illustrating, one ought to at first plot the y-get at (0,1) and a brief time frame later utilize the vertex condition to track down the headings of the vertex. Following plotting the vertex, the remainder of the parabola can be drawn. The zeros of the capacity are the x-gets, which can be found by finding the places where the parabola combines the x-turn. For this current situation, the zeros are close (- 0.3, 0) and (1.8, 0) resulting to adjusting to the closest 10th.
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BRO PLS HELPPPPP
Aaron filled the bird bath with 64 ounces of water. A group of blue jays came by and drank 5.17 ounces. Then a vulture swooped in and drank eleven and four fifths ounces of the water. How much water is left in the bird bath?
59.80 ounces
70.63 ounces
47.03 ounces
80.97 ounces
Answer:
47.03 ounces
Step-by-step explanation:
64 ounces is the start.
The blue jays drank 5.17 ounces.
64-5.17 = 58.83
Then a vulture swooped in and drank eleven and four-fifths ounces of the water.
\(11\frac{4}{5}\) = 11.8
58.83 - 11.8 = 47.03 ounces
another way
\(11\frac{4}{5}\) = 11.8
5.17 + 11.8 = 16.97
64 - 16.97 = 47.03 ounces
Use 3.14 as an approximation of π. Which is the area of a circle with a radius of 6cm?
A. 18.84 cm^2
B. 28.26 cm^2
C. 37.68 cm^2
D. 113.04 cm^2
E. About 355 cm^2
Answer:
D - 113.04cm²
Step-by-step explanation:
πr² (formula for area of a circle)
3.14×6²
= 113.04
Garrett buys a bag of cookies that contains 8 chocolate chip cookies, 6 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies. What is the probability that Garrett reaches in the bag and randomly selects a chocolate chip cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie
Answer:
p(chocolate chip) = 2/7
p(oatmeal) = 7/27
Step-by-step explanation:
probability = favorable outcomes/total outcomes
First, add up all the cookies in the bag.
8 + 6 + 7 + 7 = 28
Next find the probability of selecting a chocolate chip cookie. Since there are 8 chocolate chip cookies and 28 cookies in the bag, create a fraction.
p(chocolate chip) = 8/28
reduce by 4
p(chocolate chip) = 2/7
Now that the cookie was eaten that will reduce the number of chocolate chip cookies to 7 and the overall number of cookies to 27.
There are 7 oatmeal cookies and 27 total cookies, so create the fraction.
p(oatmeal) = 7/27