The circumference of the circle with a diameter of 10m is 31.4m, using 3.14 as the value of pi and including the correct unit in the answer.
The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Substituting the given value of the diameter, we get C = 3.14 x 10m = 31.4m as the circumference of the circle.
Since the value of pi is irrational, it cannot be expressed as a finite decimal or fraction, so we use an approximation, such as 3.14, to calculate the circumference. It is important to include the correct unit, which is meters in this case, in the answer to indicate the quantity being measured. Therefore, the circumference of the circle is 31.4m.
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3x+y=10
-4x-2y=2
this has to be solved by elimination.
y = 10 + 3 x hopefully this helps im still new tho!
What is the value of 6 [4-9.4]? -36 -33 -32 -30
Answer: D: -30
Answer:
D. -30
Step-by-step explanation:
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What's 8÷52? I'm studying and I can't think of it.
3. Consider the product -11 7 6/7.
(a) Determine the product by rewriting the mixed number and applying the distributive property. What is the product?
(b) Multiply the integer and mixed number by multiplying fractions. What is the product?
Answer:
Did you get the answer to this. I am struggling on this as well.
Step-by-step explanation:
What would your first step look like if you were solving this system using the substitution method? y=x−10 and y=−6x+18?
Answer:
Substitution method can be applied in four steps.
Solve one of the equations for either x = or y = .
Substitute the solution from step 1 into the other equation.
Solve this new equation.
Solve for the second variable. ...
Step 1: Solve one of the equations for either x = or y = .
Step-by-step explanation:
Mark raised $405 for his softball team's fundraiser. he wants to raise at least $825. write and solve an inequality to determine how much more money mark must raise to reach his goal. let d represent the amount of money in dollars mark must raise to reach his goal.
Answer: d ≥ 825-405
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1) How much would you have to invest in an account earning 8% interest compounded continuously, for it to be worth one million dollars in 30 years?
Answer:
$174,850.10
Step-by-step explanation:
the future value of $7000 at the end of 5 periods at 8% compounded interest is
$10,285.30
so you multiply $10,285.30 x 17 = 174,850.10 that's the amount you have to invest. After thirty years you will have $1,049,100.60
The table shows the test scores of students who studied for a test as a group (Group A) and students who studied individually (Group B). Student Test Scores (out of 100) Group A 04 80 77 [Group B 92 92 88 333100 85 83 188 96 92 10 TIME REMAINING 59:49 Which would be the best measures of center and variation to use to compare the data? The scores of Group B are skewed right, so the mean and range are th Measures for parison. O Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison. © Both distributions are nearly symmetric, so the median and the interquartile range are the best measures for comparisg. O The scores of both groups are skewed, so the median and standard deviation are the best measures for comparison.
A statement which would be the best measures of center and variation to use to compare the data include the following: B. Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison.
What is skewness?In Mathematics and Statistics, skewness can be defined as a measure of the asymmetry of a box plot (box-and-whisker plot) and as such, a box plot (box-and-whisker plot) has a normal distribution when it is symmetrical.
By critically observing the table which represent the test scores of students who studied for a test as a group (Group A) and students who studied individually (Group B), we can reasonably infer and logically deduce that the mean and the standard deviation are the best measures for comparison because both data distributions are nearly symmetric.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the equation of a line with a slope of -3 and a y-intercept of 4?
A. y= 4x+3
B. y= 4x-3
C. y=-3x-4
D. y=-3x+4
Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
Step-by-step explanation:
We have,
Slope (m) = -3y-intercept (c) = 4We know that,
y = mx+c
y = -3x+4
Hence, option (D) is correct.
Is anyone good at Personal finance math?
Answer:
ya I am good at personal finance math
Step-by-step explanation:
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If the mean of five values is 12.2 and four of the values are 13, 9, 11, and 14, find the fifth value.
We know the mean is the average.
The mean of a data set is found by adding all the numbers and then dividing by the number of numbers.
We know 4 of the 5 numbers.
Let the 5th number be "x".
So, from the given information, we can write an equation:
\(\frac{13+9+11+14+x}{5}=12.2\)Cross multiplying and a bit of algebra will let us find the value of "x":
\(\begin{gathered} \frac{13+9+11+14+x}{5}=12.2 \\ \frac{47+x}{5}=12.2 \\ 47+x=5\times12.2 \\ 47+x=61 \\ x=61-47 \\ x=14 \end{gathered}\)The fifth value is 14.
Answer14FIND THE LENGTH OF SEGMENT AB HELP
The radius of a dartboard is 9 inches What is the area of the dartboard in square inches?
the area of the dartboard is approximately 254.34 square inches.
The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:
Area = π * \(radius^2\)
Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:
Area = π * \(9^2\)
Area = π * 81
To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:
Area ≈ 3.14 * 81
Area ≈ 254.34 square inches
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I need answer please asap
Answer:
24 servings
Step-by-step explanation:
If a recipe yields 9 servings from 3 cups of a certain ingredient, how many servings would be produced from 2 quarts of the same ingredient?
We can start by converting 2 quarts to cups. Since 1 quart is equal to 4 cups, 2 quarts would be equal to 2 * 4 = 8 cups.
Next, we can calculate the number of servings. We know that the rate of servings to cups is 9 servings to 3 cups, which can also be expressed as 3 servings per cup.
Multiplying the number of cups (8 cups) by the rate of servings per cup (3 servings/cup), we get:
8 cups * 3 servings/cup = 24 servings
Therefore, from 2 quarts (8 cups) of the ingredient, we would produce 24 servings.
Answer:
12 servings
Step-by-step explanation:
Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x
Answer:
f(g(x)) = 9x² + 15x + 2
Step-by-step explanation:
f(x) = x² + 5x + 2g(x) = 3xSolving f(g(x))
f(g(x))f(3x)f(3x) = (3x)² + 5(3x) + 2f(3x) = 9x² + 15x + 2f(g(x)) = 9x² + 15x + 2Answer:
\(f(g(x)) = 9x^2 + 15x + 2\)
Step-by-step explanation:
Step 1: State the equations
\(f(x) = x^2 + 5x + 2\)
\(g(x) = 3x\)
Step 2: Insert the equation and solve
\(f(g(x)) = (g(x))^2 + 5(g(x)) + 2\)
\(f(3x) = (3x)^2 + 5(3x) + 2\)
\(f(3x) = 9x^2 + 15x + 2\)
\(f(g(x)) = 9x^2 + 15x + 2\)
Answer: \(f(g(x)) = 9x^2 + 15x + 2\)
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Answer:
THE OTHER ANSWER IS WRONG
Step-by-step explanation:
90=20+6x-2
92=20+6x
72=6x
12=x
Hope this helps!
What are the zeros of the function f(x) = (2x+6)(x-4)?A. X = 6 and x = -4B. x = 3 and x = -4C. x = -3 and x = 4D. X=-6 and x = -4
The zeroes of the function are the values of x which make it equal to zero
Since f(x) = (2x + 6)(x - 4)
Then to find the zeroes of f, equate f(x) by 0
\(\begin{gathered} f(x)=0 \\ (2x+6)(x-4)=0 \end{gathered}\)Equate each bracket by 0 to find x
\(2x+6=0\)Subtract 6 from each side
\(\begin{gathered} 2x+6-6=0-6 \\ 2x=-6 \end{gathered}\)Divide both sides by 2
\(\begin{gathered} \frac{2x}{2}=\frac{-6}{2} \\ x=-3 \end{gathered}\)\(x-4=0\)Add 4 to each side
\(\begin{gathered} x-4+4=0+4 \\ x=4 \end{gathered}\)The zeroes of the function are x = -3 and x = 4
The answer is C
Who is the president of USA
Answer:
Donald Trump is the unfortunately current president of the united states.
if this is an actual question, you should have put it in the history category instead.
Carolyn buys a home for $122,000, agreeing to the lender's terms of a 75% loan and two loan discount points. how much money does carolyn need to bring to settlement?
Carolyn buys a home for $122,000, agreeing to the lender's terms of a 75 percent loan and two loan discount points. and $251625 money carolyn need to bring to settlement
What is simple interest ?Discussion of interest starts with the principal, or the opening balance of your account. This could be the principal of a loan or an initial investment. Interest is calculated as a percentage of the principle in its simplest form. For instance, if you agreed to borrow $100 from a friend and repay it with 5% interest, your interest payment would simply be 5% of $100, or $5 ($100(0.05)). The initial principle plus interest would be included in your $105 repayment.
Given that :Carolyn buys a home for $122,000, agreeing to the lender's terms of a 75% loan and two loan discount points.
122000 ×(\((0.75 +1 )^{2}\) - 1)
= 251625
$251625 money carolyn need to bring to settlement
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Find the values of x, y, and z
Answer:
Values: x =54, y= 126, z = 35
Quadrilateral A'B'C'D' is a dilation of quadrilateral ABCD about point P Is this dilation a reduction or an enlargement? O reduction enlargement
Answer: reduction
Step-by-step explanation:
ABCD-> 'ABCD
its bc 'ABCD got smaller compared to ABCD
Answer:
It is a reduction.
Step-by-step explanation:
Hope this helped.
a social security number contains nine digits, such as 010-50-0257. how many different social security numbers can be formed?
The total number of social security numbers that are possible are 900,000,000.
In the social security number first digit can only fall between 1 and 9, leaving us only nine options because the first three digits cannot all be zeros. There are still 10 possibilities for each of the second and third digits because they may both still be any integer between 0 and 9.
Therefore, the total number of different social security numbers that can be formed is using the combinations,
= 9 × 10⁸
= 900,000,000
So, there are 900,000,000 different possible social security numbers.
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someone help me out pleaseee
Answer:
\( \frac{29}{18} = 1 \frac{11}{18} \)
Step-by-step explanation:
To solve this question, we definitely need to make w the subject.
\(w - \frac{5}{6} = \frac{7}{9} \\ w - \frac{5}{6} + \frac{5}{6} = \frac{7}{9} + \frac{5}{6} \\ w = \frac{29}{18} \\ = 1 \frac{11}{18} \)
I don’t know how to figure this question out I need help I need the steps to this
Answer:
19.5625
Step-by-step explanation:
To find the mean, you add all of your values together and divide by the number of values you have.
Here are the values in the dot plot listed:
12, 12, 15, 15, 15, 15, 16, 18, 20, 20, 22, 25, 25, 25, 29, 29
To find the mean:
(12 + 12 + 15 + 15 + 15 + 15 + 16 + 18 + 20 + 20 + 22 + 25 + 25 + 25 + 29 + 29)/16 = 19.5625
Part I: Describe how the account balance of a savings account earning simple interest is determined.
Part ll: Explain the difference between a savings account earning simple interest and a savings account earning compound interest.
Part Ill: Which type of savings account would you open and why?
Answer:
part 1: You start with an annual "simple interest rate," which is the percentage of the principal balance your money earns each year. ... Add the daily interest earned to the balance.
part 2: Simple interest is based on the principal amount of a loan or deposit. In contrast, compound interest is based on the principal amount and the interest that accumulates on it in every period.
part 3: a compound interest account and here's why. When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate
Step-by-step explanation:
51668 to the nearest hundred
Answer:
51700
Step-by-step explanation:
So basically you take the last three numbers. the middle 6 is over 5 so you round the first 6 to 7 and the rule for that is 5 or above round up 4 or below round down
51668 to the nearest hundred is 51700
How to round number to nearest hundred ?
1. Identify the hundreds digit of the number.
2. Identify the next smallest place value.
3. We have to find out,is that digit greater than or equal to five!
4. Increase the hundred digit by 1 if greater or equal to 5 & decrease if less than 5. And every digit after it, becomes zero.
What is the required number ?Given number is 51668
Hundreds digit number is 6.
Next smallest place value is 6, which is greater than 5.
So, After increasing hundred digit by 1,The required number is 51700
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The Wagner Corporation has a $22 million bond obligation outstanding, which it is considering refunding. Though the bonds were initially issued at 12 percent, the interest rates on similar issues have declined to 10 percent. The bonds were originally issued for 20 years and have 16 years remaining. The new issue would be for 16 years. There is a 7 percent call premium on the old issue. The underwriting cost on the new $22 million issue is $680,000, and the underwriting cost on the old issue was $530,000. The company is in a 40 percent tax bracket, and it will allow an overlap period of one month ( 1/12 of the year). Treasury bills currently yield 5 percent. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answers to nearest whole dollar.) a. Calculate the present value of total outflows. Total outflows b. Calculate the present value of total inflows. Total inflows $ c. Calculate the net present value. Net present value $ d. Should the old issue be refunded with new debt? Yes No
The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes
To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.
Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.
Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax. Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.
Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows. If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.
Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,
CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080. NPV ≈ $824,179. Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.
Therefore, the answers are:
a. Total outflows: $2,007,901
b. Total inflows: $827,080
c. Net present value: $824,179
d. Should the old issue be refunded with new debt? Yes
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The point A(5,-2) is reflected over the point (4, -5) and its image is point B. What are the coordinates of point B?
The position of a point or figure before any transformation is called "preimage"
After undergoing the transformation the resulting point/figure is called "preimage"
So for this exercise, the "preimage" is point A(5,-2)
This point was reflected over the point (4, -5)
To calculate the x-coordinate of B, first calculate the distance between the x-coordinates of point A and the reflection point.
\(d_x=5-4=1\)Next subtract it to de x-coordinate of the reflection point
\(x_B=4-1=3\)For the y-coordinate of B you have to follow the same method, first calculate the difference between the y-coordinates of point A and the reflection point:
\(d_y=-2-(-5)=3\)Next subtract it from the y-coordinate of the reflecting point to determine the y-coordinate of B
\(y_B=-5-3=-8\)The coordinates for point B are (3,-8)
Covert this repeating decimal into a fraction (answer choices at the top)
Answer:
Option 1 4311/9900
Step-by-step explanation:
4311/9900 = 0.435454545454545454
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What is the area of the shaded region?
3 cm
Answer:
7.74cm ^2
Step-by-step explanation:
a=pie * r ^2
3.14*3^2=3.14*9=28.26 then you know all sides of a square are equal and 3 is half of 1 side so 6*6-=36 36-28.26=7.74