Answer:
15
Step-by-step explanation:
6+24=30
30÷2=15
the formula for calculating the mean is the total of the numbers ÷ the number of numbers
What is 3 2/3 divided by 2 1/6
Answer:
Exact form:
22/13
Decimal form:
1.692307
Is -38,-68,-98,-128,... arithmetic
Answer:
yes
Step-by-step explanation
the common difference is -30
Final answer:
The sequence -38, -68, -98, -128,... is an arithmetic sequence because the common difference between consecutive terms is consistent, which is -30.
Explanation:
The student has asked whether the sequence -38, -68, -98, -128,... is arithmetic. To determine if a sequence is arithmetic, we need to check if the difference between any two consecutive terms (also known as the common difference) is the same.
Let's calculate the difference between the first two terms:
-68 - (-38) = -68 + 38 = -30
Now, let's calculate the difference between the second and the third terms:
-98 - (-68) = -98 + 68 = -30
Similarly, the difference between the third and the fourth terms is:
-128 - (-98) = -128 + 98 = -30
Since the common difference is the same (-30) for all consecutive terms mentioned, the sequence is indeed an arithmetic sequence.
QUESTION 4 of 10: Real estate taxes for commercial property in your town are $11 per $1,000 assessed value. You plan on buying a
rundown property for $200,000 and putting in $300,000 in improvements. Which of the following is the best estimate of your yearly real
estate taxes?
a) $2,000
b) $3,000
c) $5,500
d) $11,000
Answer:
c. 5,500
Step-by-step explanation:
The best estimate of your yearly real estate taxes is $5,500.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The total assessed value of the property.
= 200,000 + 300,000
= 500,000
Taxes.
$11 for $1000 assessed value.
This means,
$1000 value = $11
Multiply 500 on both sides.
500 x $1000 = 500 x $11
$500,000 = $5,500
Thus,
The best estimate of the taxes is $5500.
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solve the proportional equation 3/r = 5/r+3
Answer:
r=9/2 or 4.5
Step-by-step explanation:
First of all our goal is to get R by itself
by cross multiplying we get,
(r+3)*3=5r
by distributive property we get
3r+9=5r
substracting 3r from both sides we get
9=2r
by dividing by 2 in both sides we get
r=9/2 or 4.5
What is the parallel line to y=-4x-5 and passes the point (-2,6)
Answer:
y = - 4x - 2 is the required equation of the line.
Step-by-step explanation:
Equation of two parallel lines differ only by a constant.
If the equation of a line is [tex]$ ax + by + l = 0 $[/tex] then the equation of the line parallel to it is given by [tex]$ ax + by + k = 0 $[/tex].
Note that only the constants differ in both the equations.
The given equation is: y = - 4x - 2
This is equivalent to 4x + y + 2 = 0.
Therefore, the equation of the line parallel to the given line will be:
4x + y + k = 0.
We are also given the point which passes through the line. We can substitute it to determine the value of 'k'.
Substituting (- 2, 6), we get:
4(-2) + 6 + k = 0
⇒ - 8 + 6 + k = 0
⇒ k = 2
Hence, the equation of the required line is: y = - 4x - 2
Five times the sum of -2 and a number is 91 more than the sum of the opposite of the number and 1
Answer:
n or the number = 5
Step-by-step explanation:
5 * (-2 + n) = 91 + (-n + 1)
-10 + 5n = 19 - n + 1
6n = 20 + 10
6n/6 = 30/6
n = 5
Answer:
The number is 51.
Step-by-step explanation:
Let the number be x and the opposite of a number is -x.
5(-2+x) = 91 + (-x + 1)
-10 + x = 91-x+1
-10 + 2x = 92
2x = 102
x = 51
Math question. Photo attached
Answer:
2x+7
Step-by-step explanation:
Which of the statements are true for a linear function
Answer:
Attach image plz
Step-by-step explanation:
Answer:
The slope is constant
Step-by-step explanation:
What is the product?
(2x-1)(x+4)
2x²-4
0
2x²+4
0
2x² + 7x-4
2x² – 7x-4
Answer:
C) 2x^2+7x-4
Step-by-step explanation:
(2x-1)(x+4)=2x^2-x+8x-4=2x^2+7x-4
5.5*10^-1/
5.3 x 10^2
Answer:
10.3773584906
Step-by-step explanation:
The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in Lakeview in 5.75 years? A 1,239.125 B 12.39125 C 123.9125 D 27.3
Answer:
123.9125
Step-by-step explanation:
The total amount of rainfall in Lakeview in 5.75 years is approximately 123.9125 inches. The correct answer is option C.
Lakeview gets 21.55 inches of rain per year on average.
To find the total amount of rainfall in Lakeview in 5.75 years, we can multiply the average yearly rainfall by the number of years.
Average yearly rainfall: 21.55 inches
Total rainfall in 5.75 years: 21.55 inches/year * 5.75 years
Calculating the result:
= 21.55 x 5.75
≈ 123.9125
Therefore, the total amount of rainfall in Lakeview in 5.75 years is approximately 123.9125 inches.
The correct answer is option C.
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For which problem do you need to regroup 1 ten as 10 ones subtract 16 from 38 or subtract 27 from 85 or subtract 51 from 72
Australia is approximately 3,000,000 square
miles in area. Sand dunes cover 40% of the land.
How much of Australia is
covered by sand dunes?
Answer:
1,200,000 square miles
Step-by-step explanation:
Given data:
Total land = 3 000 000
40% is covered by sand dunes
Land covered by sand dunes is 40% of the total area therefore
Land covered by sand dunes=(40/100) * 3000000
Land covered by sand dunes= 0.4 * 3000000
Land covered by sand dunes= 1 200 000
Final answer:
Approximately 1,200,000 square miles of Australia are covered by sand dunes, which is 40% of Australia's total area of about 3,000,000 square miles.
Explanation:
The student has asked how much of Australia is covered by sand dunes given that Australia's area is approximately 3,000,000 square miles and sand dunes cover 40% of the land.
To calculate the area covered by sand dunes, we apply the percentage to Australia's total area:
Convert the percentage into decimal form: 40% = 0.40.
Multiply the total area of Australia by the decimal: 3,000,000 square miles × 0.40.
The result gives us the area covered by sand dunes: 1,200,000 square miles.
Therefore, sand dunes cover about 1,200,000 square miles of Australia.
factors of 48 that add to equal 26
describe the error in using the percent equation to answer the equation.
30 is 60% of what number is?
what is the third quartile of this data set?
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
Answer:
39
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
Can anyone explain how to solve this?
Answer:
18.75
Step-by-step explanation:
since you are scaling up you do
125/80 which is 1.5625 and multiply that by 12.
if the ratio of the two numbers is7:8and theri sum 135 find the numbers
Answer:
63 and 72
Step-by-step explanation:
Sum the parts of the ratio, 7 + 8 = 15 parts
Divide the sum by 15 to find the value of one part of the ratio
135 ÷ 15 = 9 ← value of 1 part of the ratio, thus
7 parts = 7 × 9 = 63
8 parts = 8 × 9 = 72
The numbers are 63 and 72
Y = 3x + 2
-4x + 2y = 8
Answer: x=2 and y=8
Step-by-step explanation:see attachment
Today is 4 jan and day is monday.what day will be on 23 jan. With step by step
Answer:
Saturday
Step-by-step explanation:
Each day of the week is repeated after 7 days
So, after 19 days it would be Saturday
Please help! Give the answer and how you got it
Answer:
MN = 10
Step-by-step explanation:
To find the length of a line segment or the straight distance between two points, use the formula [tex]L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex] , where you can substitute two points, which would be (x₁ , y₁) and (x₂ , y₂). "L" stands for length.
Choose point 1 and point 2:
Point 1: M (2, -3) x₁ = 2 y₁ = -3
Point 2: N (8, 5) x₂ = 8 y₂ = 5
Substitute the values for the variables:
[tex]L = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]L = \sqrt{(8-2)^{2}+(5-(-3))^{2}}[/tex] Solve inside each bracket first by adding
[tex]MN = \sqrt{(6)^{2}+(8)^{2}}[/tex] Square each number
[tex]MN = \sqrt{36+64}[/tex] Add the numbers
[tex]MN = \sqrt{100}[/tex] Find the square root
[tex]MN = 10[/tex] Length of the line segment
Therefore the length of the line segment MN is 10.
the total yearly cost to rent a trumpet is $114. The montly cost is constant with no initial fee
Answer:
$9.5 is the cost of 1 month.
Step-by-step explanation:
the total yearly cost = 12 months = $114
Cost of per month = 1 month = $114 / 12 = $9.5
Which is not a characteristic of the linear parent function?
O
A. It goes through the origin.
O
B. The range is positive real numbers (y> 0).
O
C. The domain is all real numbers.
O
D. It has a slope of 1.
The characteristic of the linear parent function that is not true is that the range is positive real numbers (y > 0).
Explanation:The correct answer is B. The characteristic of the linear parent function that is not true is that the range is positive real numbers (y > 0).
A linear parent function is represented by the equation y = x and passes through the origin (0,0). Its domain is all real numbers (-∞, ∞) and its range is also all real numbers (-∞, ∞).
A linear function with a slope of 1 is represented by the equation y = x and is a straight line that passes through every point on the graph that has the same x and y value.
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Option B 'The range is positive real numbers (y>0)' is not a characteristic of the linear parent function. The function y=x, known as the linear parent function, has its range as all real numbers, not just positive.
Explanation:The characteristic of the linear parent function, which is not accurate, is: 'The range is positive real numbers (y>0)'.
The linear parent function is y = x, which indeed meets the criteria of the remaining options. It goes through the origin (0,0), its domain covers all real numbers, as x can be any real number, and it has a slope of 1 throughout. However, its range is not only positive real numbers (y>0). The range of the linear parent function actually includes all real numbers because y (the output) can take any real value, both positive and negative, not just positive.
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Solve for the variable 8x+7=-9
Answer:
x=-2
Step-by-step explanation:
first u subtract 7 on both sides resulting on 8x=-16. Then to isolate x u divide by 8 on both sides.
Answer:
Step-by-step explanation:
I've already solved this problem.
The number 42524 is a palindrome, because it reads the same backwards as forward. How many integer palindromes are between 10,000 and 70,000, and are even?
Answer:
300
Step-by-step explanation:
The first (and last) digit can be any of {2, 4, 6}. The 2nd and 3rd digits can be any from 00 to 99. The 4th digit is the same as the 2nd, and the 5th digit is the same as the first.
There are 3·10·10 = 300 possible even palindromes in the given range.
Answer:
300
Step-by-step explanation:
:):
What is the place value of the underlined number 4,382
Answer: Unit =2
tens=8
hundred= 3
thousand= 4
Step-by-step explanation:
2 Points
Kendra took out a loan for $750 at an 8.4% APR, compounded monthly, to buy
a stereo. If she will make monthly payments of $46.50 to pay off the loan,
which of these groups of values plugged into the TVM Solver of a graphing
calculator could be used to calculate the number of payments she will have
to make?
O
O
A. N=;1% = 0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12;
PMT:END
B. N=;1% = 0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12;
PMT:END
C. N=;1% = 8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12;
PMT:END
D. N=;1% = 8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12;
To calculate the number of payments for Kendra's loan using a TVM Solver, the correct setup includes an APR of 8.4% converted to a monthly rate of 0.7%, with matching payment and compounding frequencies, making Option A the accurate choice.
Explanation:When Kendra takes out a loan to buy a stereo, calculating the number of payments she will have to make involves understanding the terms used in Time Value of Money (TVM) calculations. The correct set of values must account for the annual percentage rate (APR) being compounded monthly, which requires converting the APR to a monthly rate, and ensuring the payment and compounding periods match.
For Kendra's loan:
APR is 8.4%, implying a monthly interest rate (I%) of 0.7% (8.4% divided by 12).The present value (PV) of the loan is -$750, indicating an outflow of cash.Her monthly payment (PMT) is $46.50, aimed at reducing the loan balance.The future value (FV) she aims for is $0, meaning she intends to fully repay the loan.P/Y (Payments per year) and C/Y (Compounding periods per year) both should match the monthly nature of the loan, hence should be 12.Given these conditions, the only option that correctly configures all elements for a TVM Solver is Option A:
N=; I% = 0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END
This configuration accurately reflects the loan's terms, allowing the calculation of the number of payments (N) Kendra will need to make.
The correct answer is: D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END. Option A uses annual percentage rate (APR), while option D uses the periodic interest rate (monthly rate). Given that the interest rate is compounded monthly, it's more appropriate to use the periodic interest rate (option D).
To calculate the number of payments Kendra will have to make to pay off the loan, we can use the Time Value of Money (TVM) Solver feature of a graphing calculator. We need to set up the values correctly to solve for the number of payments (N).
Let's go through the options:
A. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END
B. N=; I% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END
C. N=; 1% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END
D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END
Let's analyze each option:
A. This option has the correct annual interest rate (8.4%), correct present value (loan amount), correct payment amount, and correct compounding periods per year. Hence, it's a potential correct option.
B. This option has the interest rate incorrectly set as 0.7%. It should be 8.4%, not 0.7%. Hence, it's incorrect.
C. Similar to option B, this option has the interest rate incorrectly set as 0.7%. Hence, it's incorrect.
D. This option has the correct interest rate (8.4%), correct present value, correct payment amount, and correct compounding periods per year. Hence, it's a potential correct option.
So, options A and D are potential correct options. Both have the correct interest rate and payment amount. The difference lies in how the interest rate is represented: option A uses annual percentage rate (APR), while option D uses the periodic interest rate (monthly rate).
Given that the interest rate is compounded monthly, it's more appropriate to use the periodic interest rate (option D). Therefore, option D is the most suitable choice.
Complete Question:
Kendra took out a loan for $750 at an 8.4% APR, compounded monthly, to buy a stereo. If she will make monthly payments of $46.50 to pay off the loan, which of these groups of values plugged into the TVM Solver of a graphing to make?
A. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END
B. N=; I% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END
C. N=; 1% =0.7; PV=-750; PMT=46.5; FV=0; P/Y=1; C/Y=12; PMT:END
D. N=; 1% =8.4; PV=-750; PMT=46.5; FV=0; P/Y=12; C/Y=12; PMT:END
What is 45% of 36 ft?
Please show work that I can write down on a piece of paper, last time my teacher yelled at me because I didn't have any work down. :(
Answer:
16.2
Step-by-step explanation:
45% = 0.45 (as a decimal)
36 × 0.45 = 16.2
(m3 - 6m2 - 16m + 63) divided by (m - 7)
Therefore( [tex]m^3 -6m^2-16m +63[/tex] )÷ (m-7) [tex]= (m^2 +m-9)[/tex]
Step-by-step explanation:
[tex]m^3 -6m^2-16m +63[/tex]
[tex]=m^3 -7m^2[/tex][tex]+m^2 -7m[/tex][tex]-9m+63[/tex]
[tex]= m^2(m-7)[/tex][tex]+m(m-7)[/tex][tex]-9(m-7)[/tex]
[tex]= (m-7 ) (m^2 +m-9)[/tex]
Therefore( [tex]m^3 -6m^2-16m +63[/tex] )÷ (m-7) [tex]= (m^2 +m-9)[/tex]
A single sheet of 20-pound bond paper is about a tenth of a millimeter thick. Each time you fold an ordinary sheet of paper in half, you double the thickness. What would be the thickness in kilometers if you were physically able to fold it 50 times? Note: For comparison, the distance from Earth to the Sun is about 149,600,000 kilometers. (Round your answer to the nearest kilometer.)
The paper would be 112589991 km thick if folded 50 times.
Step-by-step explanation:
Step 1; The sheet is [tex]\frac{1}{10}[/tex]mm thick which equals 0.1 mm. Every time it is folded it doubles in thickness. So if folded once it becomes 0.2 mm thick, if folded thrice it becomes 0.4mm thick.
Thickness if folded once = [tex]2^{1}[/tex] × 0.1 mm
thickness if folded twice = [tex]2^{2}[/tex]× 0.1 mm
Thickness if folded thrice = [tex]2^{3}[/tex] × 0.1 mm.
So if the paper is folded nth fold it would be [tex]2^{n}[/tex] × 0.1 mm thick.
Step 2; Using the above formula, if the paper is folded 50 times the thickness would be equal to [tex]2^{50}[/tex] × 0.1 mm = 112,589,990,684,262.4 mm.
1 km is equivalent to [tex]10^{6}[/tex]mm so 112,589,990,684,262.4 mm = 112,589,990.6842624 km which is rounded off to 112589991 km.