9514 1404 393
Answer:
B7 formula: =AVERAGE(B3:B6)
B8 formula: =B1*B2*B7
Step-by-step explanation:
There are two parts to finding the answer to the questions posed. (1) You need to understand what you are being asked to calculate. (2) You need to know how to write that calculation as a spreadsheet formula.
It is beyond the scope of this answer to give a tutorial in spreadsheets. Many web sites, videos, books, and other help sources are available to teach you how to open and use a spreadsheet. Presumably, you've been given an introduction in your class.
_____
a) The problem statement tells you that cell B7 contains the average of the values in cells B3 to B6.
The AVERAGE function will compute the average of a range of cells. It can be used in cell B7 to compute the average of the values in cells B3 to B6. The formula would generally be written ...
=AVERAGE(B3:B6)
__
b) Problem 10 doesn't tell you explicitly what the pension formula is. We have to assume that it is similar to the formulas described in problems 8 and 9. That is, it is the product of a percentage, years worked, and the average of some number of salaries. In problem 10, the average is of 4 salaries.
The value in B8 will be the product of the pension credit percentage per year worked, the number of years worked, and the average of the last 4 years' salaries. Those values are in cells B1, B2, and B7, so the formula is written ...
= B1*B2*B7
_____
The attachment shows the spreadsheet with the numbers from problem 8. The formula bar shows the formula for the selected cell, B8.
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Write your answer in scientific notation.
The difference of the expression in scientific notation is 1.2 * 10⁸
Evaluating the expression in scientific notationFrom the question, we have the following parameters that can be used in our computation:
(5.6 * 10⁸) - (4.4 * 10⁸)
Factor out 10⁸ from the expression
So, we have
(5.6 * 10⁸) - (4.4 * 10⁸) = (5.6 - 4.4) * 10⁸
Evaluate the difference
(5.6 * 10⁸) - (4.4 * 10⁸) = 1.2 * 10⁸
Hence, the difference of the expression in scientific notation is 1.2 * 10⁸
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How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
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Please help me with this question if you can
Josiah owes $3,500 on his credit card with a minimum percentage of 3% or $100 (whichever is higher). How much is the minimum payment due?
$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.
The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.
1. Calculate 3% of $3,500:
3% * $3,500 = 0.03 * $3,500 = $105
2. Compare the calculated amount with the minimum payment of $100:
Minimum payment = max($105, $100)
Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.
The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.
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Determine if the two triangles are congruent. If they are, state how you know
For the set C= {6,8}, determine n(C).
Step-by-step explanation:
Hey, there!!
C = {6,8}
n(C) means cardinality of set.
We define cardinality of set as the no. of elements present in set.
It contains 2 no. of elements.
so, its cardinality is n(C) is 2.
Hope it helps...
Help! pictures are attached
Determine the component representation and magnitude of the vector having the initial point P and the terminal point Q.
P(-3,2) and Q(5,17)
The component representation of the vector having the initial point P and the terminal point Q is....
The magnitude of the vector having the initial point P and the terminal point Q is ....
The magnitude of the vector having the initial point P and the terminal point Q is 17.
What is magnitude ?
Simply said, "distance or amount" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an item. It is used to describe something's size or scope. Magnitude in physics often refers to a size or amount.
Given: p (- 3,2) , q (5,17)
vector = (17-2)i + (5+3)j
= 15i + 8j
Magnitude = \(\sqrt{(15^{2}+8^{2} ) }\)
magnitude =17
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Only answer if you are beinggreat78!
\(s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} \)
The shaded region represents 1.5 grids
\(1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} \)
Option AAnswer:
D
Step-by-step explanation:
The answer and work is in the attached screenshot! :)
To solve the following equation for X, which operation will you need to perform? X + 2 = 5 Question 1 options: Add 2 Subtract 2 Multiply by 2 Divide by 2
Answer:
subtract 2
Step-by-step explanation:
Answer: subtract 2
Step-by-step explanation: 5-2=3
3+2=5
in 2009 Larry's gross pay was $275,800 in that year the maximum taxable for Social Security was 118500 and the Social Security was 62.2%.
Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.
How much did Larry pay in social security taxes?The total amount paid by Larry as Social security tax can be found as;
= Maximum amount allowable for social security tax x Social security tax rate
The social security tax rate was 6.2% not 62.2%.
The social security tax was therefore:
= 118,500 x 6.2%
= $7,347
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Which crime is often alcohol related?
O a. theft
Ob. tax fraud
O c. trespassing
O d. domestic violence
The crime that is often alcohol related is domestic violence. That is option D.
What is domestic violence?Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.
The causes of domestic violence include the following:
History of violent victimization.Attention deficits, hyperactivity, or learning disorders.History of early aggressive behavior.Involvement with drugs, alcohol, or tobaccoTherefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.
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What is -2 - 1 3\7 please help
Answer:
Step-by-step explanation:
To solve this expression, we need to first combine the integer part of -2 and -1, which gives us -3. Then, we need to combine the fractional parts of -1 and 3/7.
To do this, we find a common denominator, which is 7, and convert -1 to an equivalent fraction with denominator 7 by multiplying both the numerator and denominator by 7, which gives us -7/7.
Now we can add -7/7 and 3/7 to get -4/7.
Therefore, -2 - 1 3/7 = -3 - 4/7, which can also be written as -3 4/7 or -23/7 in improper fraction form
Graph the line y-3=-1/3(x+2)
Slope: 1/2
y-intercept(s): (0, 7/3)
x: 0, 7
y: 7/3, 0
Step-by-step explanation:
y=-3 -1/3(1+2)=2/3.3=1.3=3
y=3
Consider the following graph of f(x) what are the zeros
Answer:
Step-by-step explanation:
The zeroes of a function is where its graph intercepts the x axis:
in this case it happens in these points:
(-6;0) , (-4;0) , (0;0) , (2;0) , (4;0)
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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There are 45 female performers in a dance recital. The ratio of men to women is 4:9. How many men are in the dance recital? There are men in the dance recital.
Answer:
20 men
Step-by-step explanation:
1. 4:9 = 20:45
men to women
a. 45 divided by 9 = 5
b. 4 x 5 = 20
John takes out a loan for $ 10 , 000 at a simple interest rate of 5 % to be paid back in 36 monthly installments.
The monthly principal and interest payment John will pay monthly is $3,750.04
What is the amount of principal and interest repayment?Given:
P = 10,000i = 5% / (12 months) = 0.375L = 36 months\(M = 10000 \times \frac{0.375}{ {1 - (1 + 0.375)}^{ - 36} } \)
\(M = 10000 \times \frac{0.375}{ {1 - (1.375)}^{ - 36} } \)
\(M = 10000 \times \frac{0.375}{ {1 - (0.00001049791)} } \)
\(M = 10000 \times \frac{0.375}{ 0.99998950208 } \)
\(M = 10000 \times 0.37500393675\)
\(M = 3750.03936758\)
Approximately,
M = $3,750.04
Therefore, John will be be repaying $3,750.04 monthly including principal and interest
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Given a triangle ABC such that AB = 4. AC = squareroot (41) and BC = 5.
Find the measures of the interior angles of ABC.
Answer:
A = 51.3°, B = 90°, C = 38.7°
Step-by-step explanation:
The given lengths satisfy the Pythagorean theorem:
(√41)² = 4² +5² ⇒ 41 = 16 +25
so we know the triangle is a right triangle. The right angle is opposite the longest side, so is angle B, opposite side AC.
The remaining angles can be found using trig functions. For example, we know ...
tan(A) = BC/AB = 5/4
A = arctan(5/4) ≈ 51.3°
Then the other acute angle is ...
C = 90° -51.3° = 38.7°
Angles A, B, C are ...
(A, B, C) = (51.3°, 90°, 38.7°)
What is 413,598 rounded to the nearest thousand?
Answer:
414,000
Step-by-step explanation:
When rounding to the nearest thousand, you need to focus on the hundreds column. Because the unit is 5, you round up (5,6,7,8,9 determine rounding up). Therefore the 3 in the thousands column becomes a "4".
If the present value of an item is P and we experience an inflation rate of r, which is compounded continuously, for t years, what will the future value of the item be?
P = $60
r = 4.75%
t = 5
Answer:
I think it is p= $60
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
−2 2/21 +(−0.25÷(− 1/4 )−1.5÷(− 3/16 ))÷(−4 1/11 )
pls answer this is a hundred point question
The answer is -4.29523809524 . (The second period is NOT another point. It’s just marking the end of a sentence. Yes, I’m a grammar & math freak)
Answer:
-4.29523809524
Step-by-step explanation:
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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In how many distinct ways can the letters of the word DALLAS be arranged?
Answer:
720ways
Step-by-step explanation:
DALLAS = 6!
6x 5 x 4 x 3 x 2 x 1
720 ways
The letters of the word DALLAS can be arranged in 720 distinct ways.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbdistinctn event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
A word has n letters. then there are m repeating letters, each of them repeating r0, r1, r2.. times
So the number of distincts ways the letters DALLAS can be arranged are:
DALLAS = 6!
= 6x 5 x 4 x 3 x 2 x 1
= 720 ways
The letters of the word DALLAS can be arranged in 720 distinct ways.
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The excursion boat Holiday travels 35 km upstream and then returns to its starting point. The entire trip (both ways) took 4 hours and 48 minutes. If the speed of the boat in still water is 15 km /h and the current is 2.5km /h, how much longer is the trip upstream than the trip downstream?
Answer:
cundo estamos onectados me tocss
Step-by-step explanation:
1. f (x) = 5x + 10. If x = 10, then what is the value of f(x)?
A 25
B 60
12.
D 5
(Worth 10 points)
Answer:
B: 60
Step-by-step explanation:
f(x)= 5x+10, if x=10
f(10)=5(10)+10
5(10)+10=60
f(10)=60
Time Remaining
This Question: 1 pt
9 of 9
T
The perimeter of a rectangular garden is 68 yards. The width of the garden is five yards less than twice the length.
(a) Find the length and width of the garden.
(b) What is the area of the garden?
The length of the garden is
(Type an integer or a decimal.)
The width of the garden is
V (Type an integer or a decimal.)
The area of the garden is
(Type an integer or a decimal.)
Answer:
a. Length = 13 yards and Width = 21 yards.
b. Area of rectangle = 273 square yards.
Step-by-step explanation:
Let the length of the rectangular garden be L
Let the width of the rectangular garden be W
Given the following data;
Perimeter of garden = 68 yards
Translating the word problem into an algebraic equation, we have;
W = 2L - 5 ......equation 1
Note: The formula for calculating the perimeter of a rectangle is;
\(P = 2L + 2W\)
68 = 2L + 2W ........equation 2
Substituting eqn 1 into eqn 2;
68 = 2L + 2(2L - 5)
68 = 2L + 4L - 10
68 = 6L - 10
6L = 68 + 10
6L = 78
L = 78/6
L = 13 yards
To find the width;
W = 2L - 5
W = 2(13) - 5
W = 26 - 5
W = 21 yards.
b. To find the area of the garden;
Area of rectangle = length * width
Area of rectangle = 13 * 21
Area of rectangle = 273 square yards.
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Minenhle registers vehicles for the Department of Transportation. Leased vehicles make up 6% of the vehicles
she registers. Let V be the number of vehicles Minenhle registers in a day until she first registers a leased
vehicle. Assume the status of each vehicle is independent.
Find the probability that Minenhle registers a leased vehicle within the first 3 vehicles of the day.
You may round your answer to the nearest hundredth.
P(V <3) =
Answer:
0.17
Step-by-step explanation: