The average pay for an entry-level technician position is $15.6375.
What is arithmetic mean?The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean
The formula for the mean of a given set of data is as follows:
Average = Sum of Observations/Total number of observations
Σx = 15.50 + 16.85 + 14.25 + 15.95 = 62.55
Here n = 4
⇒ Average = Σx/n
⇒ Average = 62.55/4
Apply the division operation, and we get
⇒ Average = 15.6375
Thus, the average pay is $15.6375.
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Mr. Haque is 21 years old. He is 3 times as old as Ms. Nahar. Write and solve an equation to determine Ms. Nahar's age,a.
Answer:
Ms. Nahar is 7 years old.
Step-by-step explanation:
21/7 =3
Answer:
She is 7 years old if he is 21
Step-by-step explanation:
21/3
f(x) = √(x + 7), g(x) = √(x - 7)
Find the domain of f.
Answer:
[tex]x\ge -7[/tex]
Step-by-step explanation:
Square Root Function:The square root function has a domain consisting of numbers greater than or equal to zero. This excludes negative numbers since the square root of a number, when multiplied by the same square root of a number results in the original number: [tex]y=\sqrt{x}\implies y*y=x[/tex]. If we wanted the square root of a negative number, we would need a number which multiplies by it self to get a negative number, but as you may recall, if we square a real number, we always get a positive. So negative numbers are not included in the domain (although there are imaginary solutions)
So we just need the inside of the square root to be greater than or equal to zero. Thus we can derive: [tex]x+7\ge 0[/tex] and then just subtract 7 from both sides to simplify: [tex]x\ge -7[/tex] and now we have our domain in interval notation.
Please help me with this question.
The matrix products are given as follows:
a. AB = [58 -6 24]
[18 63 45]
[-22, -39, -33]
b. BA = [32 -26]
[10 56]
The addition A + B is not possible to obtain, the matrices have different dimensions.
How to multiply the matrices?The dimensions of each matrix are given as follows:
A = 3 x 2.B = 2 x 3.Hence the dimensions of each product are given as follows:
AB = 3 x 3.BA = 2 x 2.To multiply matrices, the rows of the first are multiplied by the columns of the second, hence matrix AB is obtained as follows:
Row 1, column 1: -7(-6) + 4(4) = 58.Row 1, column 2: -7(-2) + 4(-5) = -6.Row 1, column 3: -7(-4) + 4(-1) = 24.Row 2, column 1: -9(-6) - 9(4) = 18.Row 2, column 2: -9(-2) - 9(-5) = 63.Row 2, column 3: -9(-4) - 9(-1) = 45.Row 3, column 1: 7(-6) + 5(4) = -22.Row 3, column 2: 7(-2) + 5(-5) = -39.Row 3, column 3: 7(-4) + 5(-1) = -33.Hence the matrix AB is given as follows:
AB = [58 -6 24]
[18 63 45]
[-22, -39, -33]
Matrix BA is obtained as follows:
Row 1, Column 1: -6(-7) - 2(-9) - 4(7) = 32.Row 1, Column 2: -6(4) - 2(-9) - 4(5) = -26.Row 1, Column 1: 4(-7) - 5(-9) - 1(7) = 10.Row 1, Column 2: 4(4) - 5(-9) - 1(5) = 56.Hence the matrix BA is given as follows:
BA = [32 -26]
[10 56]
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A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
Sandy made several investments. She bought 1000 shares of a company's stock for $8.60/share, she bought
a bond with a face value of $2500 and a coupon rate of 7%, and she invested $5000 into a fund that is
expected to grow by 3.5% per year.
(b) The bond Sandy purchased will mature in 10 years. How much interest will she receive
semiannually
(c) How long will it take the fund she invested in to be worth $10,000?
(d) Sandy's gross annual income is $51,350. She is paid biweekly and has 5% deducted from her
paycheck for her 403(b). Her employer matches her deduction, up to 4%. How much is deposited into
Sandy's 403(b) each payday?
Answer:
b) The bond Sandy purchased has a face value of $2500 and a coupon rate of 7%. The coupon rate is the interest rate paid on the bond, which is typically paid semiannually. To find how much interest Sandy will receive semiannually, we can use the formula:
Interest = Face value x Coupon rate / 2
Interest = $2500 x 7% / 2 = $87.50
So Sandy will receive $87.50 in interest semiannually from the bond.
c) The fund Sandy invested in is expected to grow by 3.5% per year. To find how long it will take for the fund to be worth $10,000, we can use the formula:
Future value = Present value x (1 + Interest rate)^Years
We can solve for Years by dividing both sides of the equation by the present value and taking the natural logarithm of both sides:
Years = ln(Future value/Present value) / ln(1 + Interest rate)
Years = ln(10000/5000) / ln(1.035)
Years = 7.19
Therefore, the fund will take about 7.19 years to be worth $10,000.
d) Sandy's gross annual income is $51,350. She is paid biweekly, and 5% of her paycheck is deducted for her 403(b). Her employer matches her deduction, up to 4%. To find how much is deposited into Sandy's 403(b) each payday, we can use the following formula:
Contribution = (Gross pay x Contribution rate) + (Employer match x Employee contribution)
Gross pay = $51,350/26 (for bi-weekly paycheck) = $1977.50
Contribution = ($1977.50 x 5%) + ($1977.50 x 5% x 4%) = $98.87
So, $98.87 is deposited into Sandy's 403(b) each payday.
In the schoolyard we were 80 children playing soccer. After a while more children signed up and now we are 22 children in the camp. How many new children have come?
Answer: 21 new children have come.
Step by step explanation:Data :
In the schoolyard we were = 80 children playing soccerAfter a while more children signed up = and there were 22 childrenHow many new children have come = ?We simply have to subtract the number of children playing from the number of children who arrived after a while:
[tex]\bf \: 43 - 22 = 21[/tex]
We check:
[tex]\bf \: 22 + 21 = 43[/tex]
Rpt: 21 new children have come.
pls help immediately i need in 15 minutes
Answer:
23.75483
Step-by-step explanation:
I used a calculator lol
What is the probability of getting the sum ‘10’, when you role 2 dices?
Answer:
total probability (1,1),(1,2),(1,3)(1,4) (1,5)(1,6)
(2,1) (2,2) (2,3) (2,4) (2,5)(2,6)
(3,1)(3,2)3,3 3,4) (3,5) (3,6)
(4,1) (4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
3/36=1/12
Step-by-step explanation:
I'll Give brainliest to whoever answers is correct
Answer:
52
Step-by-step explanation:
RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.
Answer:
52 degrees
Step-by-step explanation:
right angle = 90
90-38=52
So RTQ = 52 degrees
What is the area (in square centimeters) of a rectangle that is 6.5 centimeters long and 2.4 centimeters wide?
Answer:
Area = 15.6 cm²
Step-by-step explanation:
Area of a rectangle = long * wide
Then:
Area of a rectangle = 6.5 cms * 2.4 cm
Area of a rectangle = 15.6 cm²
A triangle has two sides with lengths 7 yards and 9 yards, and an included angle measuring 49 degrees. Find the area of the triangle.
Provide an answer accurate to the nearest hundredth.
The area of a triangle can be calculated if we know the lengths of all three sides of the triangle or the lengths of two sides and the measure of the included angle. In this case, we are given the lengths of two sides of the triangle (7 yards and 9 yards) and the measure of the included angle (49 degrees).
To find the length of the third side we can use the Law of Cosines. Which states that, in a triangle with sides a, b and c, and an angle C opposite to side c, c² = a² + b² - 2ab * cos(C).
In this case, a = 7, b = 9 and C = 49. So, we can calculate the value of c which is the length of the third side. Once we have this value, we can use Heron's formula, which states that the area of the triangle is equal to √(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle (s = (a+b+c)/2).
By using these formulas we can calculate the area of the triangle which is approximately 25.38 square yards.
I hope this helps :)
what is the angle with tangent 1.125
Answer:
You can find the value of the tangent of any angle on a unit circle. Just draw a vertical line from the x-axis at either zero or pi until it intersects what is the extension of the radius through the angle. The length of that vertical line is the value of the tangent at the angle in question.
Step-by-step explanation:
In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
Helpful Tip!:)
Set up the equation to solve for the missing side length.
A
5
B
12
с
Answer:
The answer is, 5² + 12² = AC²
This is the Pythagorean theorem which states that sum of the squares of the two sides of a right angled triangle is equal to the square of the hypotenuse.
base² + height² = hypotenuse² or in this case, 5² + 12² = AC²
Pls mark as brainliest. I really need for no apparent reason. Cheers
17 A customer wants to make screen wash from concentrate and water.
The diagram shows the amount of concentrate she puts into a container.
ml 1000-
800
600
400
200
The customer adds water into the container up to the 1000 ml division.
W67780A
Ratio of concentrate and water in 1:1 would be most reliable for this situation. Thus, A is the correct option.
What is Ratio?A ratio is a way to compare two or more comparable quantities by writing the numbers with a colon in between each one. The figures must be whole numbers without any units.
You must practise the techniques described here repeatedly until they are automatic in order to master them. After reading this text and/or watching the related video tutorial, you should be able to:
• calculate the ratio of two or more similar quantities, regardless of whether they are expressed in the same units;
• divide a quantity into a number of parts in given ratios;
• use ratios to scale up or scale down a list of ingredients.
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Correct answer:
A customer wants to make screen wash from concentrate and water.
The diagram shows the amount of concentrate she puts into a container.
ml
1000
800
600
400
200
The customer adds water into the container up to the 1000 ml division. Which Ratio of concentrate and water would be most reliable.
A. 1:1
B. 4:5
C. 2:5
D. 1:5
NO LINKS!!!
Find the area of the shaded region of the shapes below. (Label Units.)
Answer:
1) 216 units², 2) 138 units²-------------------------------------
Top figureWe know that the area of a rectangle with same dimensions is twice the area of a triangle.
The shaded area is half the area of the rectangle:
A = ab/2 = 18*24/2 = 216 units²Bottom figureYou already divided it to rectangle and triangle.
Area of rectangle:
A = ab = 10*12 = 120 units²The triangle have same base, 12 units. It height is 16 - 10 = 6 units.
Its area is:
A = bh/2 = 12*6/2 = 36 units²Area of the small rectangle in the middle:
A = 6*3 = 18 units²The shaded area is the difference of the total area and the small rectangle:
Shaded area = 120 + 36 - 18 = 138 units²37 hundredths= ____ tenths + ____ hundredths
Answer:
30 TENTHS + 7 HUNDREDTHS
Step-by-step explanation:
a flower bed is the shape of a triangle with one side twice the length of the shortest side and the third side is
25 feet more than the length of the shortest side. find the dimensions if the perimeter is 133 feet
The dimensions of the sides of the triangular flower bed are 27ft, 54ft and 52ft.
What are the dimensions of the triangular flower bed?A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.
Given the data in the question;
Let the shortest side b x.
Shortest side = xSecond side = 2xThird side = x + 25Perimeter = 133 ftSince a triangle has three side, the perimeter of the triangle will be;
Perimeter = side 1 + side 2 + side 3
Plug in the values and solve for x
133 = x + 2x + x +25
133 = 4x + 25
133 - 25 = 4x
108 = 4x
4x = 108
x = 108/4
x = 27
Therefore, the dimensions of the flower bed are;
Shortest side = x = 27ft
Second side = 2x = 2( 27) = 54 ft.
Third side = x + 25 = 27 + 25 = 52 ft
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Simplify the expression to a + bi form:
(
−
8
+
�
)
+
(
2
+
2
�
)
(−8+i)+(2+2i)Simplify the expression to a + bi form:
(
−
8
+
�
)
+
(
2
+
2
�
)
(−8+i)+(2+2i)
The simplified form of the given expression is 3(i-2)
What are expressions?A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms. For example, in the expression 4x + y, the two terms are 4x and y.
Given is an expression, (−8+i)+(2+2i)
Simplifying the expression,
(−8+i)+(2+2i)
= -8 + i + 2 + 2i
= -8+2+2i+i
= -6+31i
= 3(i-2)
Hence, the simplified expression is 3(i-2)
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Which graph represents the inequality -2x + 3y > 12?
Answer:
y>\frac{2}{3} x+4
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
Hope this helps :)
When analyzing transactions, what is the first thing an accountant should do?
A. Create new invoices that reflect the amounts spent on account.
B. Separate cash and bank card receipts from on account receipts.
C. Post all sales receipts to Accounts Receivable in the ledger.
D. Log all sales receipts in the sales journal.
The first steps of the accounting cycle is post journal data to a ledger.The process then involves entering the transaction ,find and evaluate transactions.
The analysis of the transactions is followed by what?The process then involves entering the transaction in the books of accounts rather than posting it to the ledger after it has been examined. Immediately following their recording, transactions are then posted in the ledger.The first four steps of the accounting cycle are to recognize and evaluate transactions, document transactions in a journal, post journal data to a ledger, and prepare an unadjusted trial balance.The process then involves entering the transaction in the books of accounts rather than posting it to the ledger after it has been examined.To learn more about accounting cycle refer to:
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Answer:
B. separate cash and bank card receipts from on account receipts.
Arianys invests money in an account paying a simple interest of 3% per year. If m
represents the amount of money she invests, which expression represents her balance
after a year, assuming she makes no additional withdrawals or deposits?
Adrian must multiply his money by 1.03 to find his total balance in a year in one step.
What is simple interest?Borrowers must pay simple interest to lenders as a fee for a loan. Compound interest is not taken into account while calculating it; just the principal is used. Simple interest is applicable to all loans. It is also the form of interest that banks give their customers on their savings accounts. There are two techniques to compute interest: simple interest and compound interest. The principal, or initial amount of a loan, is used to compute simple interest. Compound interest, sometimes known as "interest on interest," is calculated using both the original amount and the total accumulated interest from prior periods.The following calculation must be done in order to determine what Adrian should multiply his current balance by in order to find his total balance in a year in one step, assuming that no money will be added to or subtracted from the investment. Adrian invests money in an account that offers simple interest of 3% per year.
Current balance = X
Interest = 3% = 3/100 = 0.03
Interest + principal = 1.03
1.03X = Total balance in a year
Therefore, Adrian must multiply his money by 1.03 to find his total balance in a year in one step.
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Find a formula for the described function. A rectangle has perimeter 8 m. Express the area A of the rectangle as a function of the length, L, of one of its sides. State the domain of A
The domain of the area of the given rectangle is; 0 < A < 1
How to change the subject of the formula?The subject of a formula is defined as the variable that is being worked out. This subject of formula can be easily recognized as the letter that is on its own on one side of the equals sign. For example, in the formula for the area of a rectangle A = bh, the subject of the formula is A.
Now, we are told that the rectangle has perimeter of 8 m.
The formula for the perimeter of a rectangle is;
P = 2(L + W)
We are told that the perimeter is 8 m. Thus;
2(L + W) = 8
L + W = 4
W = 4 - L
Formula for area of a rectangle is;
A = LW
Thus;
A = L(4 - L)
A = 4L - 4L²
At A = 0, we have L = 0 OR 1
The value of A cannot be zero or 1 and as such the domain of A is the;
0 < A < 1
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5. An engineer typically makes 50% more than a school teacher. What is the engineer's income as a percentage of the school teacher's income. How many times as large as the teacher's income is the engineer's?
Answer:
If an engineer typically makes 50% more than a school teacher, then the engineer's income is 150% of the school teacher's income. Because 100% represents the school teacher's income, and 50% represents the engineer's additional income, the sum is 100%+50% = 150%.
The engineer's income is also 1.5 times as large as the school teacher's income. This can be found by dividing the engineer's income percentage (150%) by the school teacher's income percentage (100%), which gives 150% / 100% = 1.5.
So the engineer's income is 150% of the school teacher's income, and it is 1.5 times as large as the school teacher's income.
- C
Anderson multiplies two rational expressions with the
following results. Describe his error. Then find the correct product.
Anderson's mistake in solving the rational expression, is he cancelled out variable and numbers without taking them in common.
What is a rational expression?A rational expression is the ratio of two polynomials. If f is a rational expression, then f can be written in the form p/q where p and q are polynomials.
Given that, Anderson multiplies two rational expressions with the following results.
The given expression is [tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1} = \frac{-1}{-8x(x^{2} +2)}[/tex]
His error is, he cancelled out the variables and numbers without taking them common, we can not cancel variables and numbers if they are in addition or subtraction with other variables and numbers.
Hence, the correct solution is;
[tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1}\\\\= \frac{(x+4)(x-4)}{x^{2} -4x-4x+16} . \frac{x+1}{x^{2} +x+x+1} \\= \frac{(x+4)(x-4)}{(x-4)(x-4)} .\frac{x+1}{(x+1)(x+1)} \\=\frac{x+4}{(x-4)(x+1)}[/tex]
Hence, the correct solution is [tex]=\frac{x+4}{(x-4)(x+1)}[/tex]
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ANSWER PLEASE QUICK!! 60 POINTSSS!!
Answer:
Easy, A is 4.1
Step-by-step explanation:
I just finished this too
The expression 2x + 4x represents the cost of buying the same number of
cases of spring water, sold for $2 per case, and sparkling water, sold for $4
per case. What expression can be used to express the total cost?
Answer:
6x
Step-by-step explanation:
Combine like terms
5x+9y=561
Show with elimination or substitution please
The solution to the equation 5x + 9y = 561 and 5x + 6y = 276 is x = -58.8, y = 95
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Given the equation:
5x + 9y = 561 (1)
Let us assume the second equation is:
5x + 6y = 276 (2)
To solve using elimination method, subtract equation 2 from 1:
3y = 285
y = 95
Put y = 95 in equation 1:
5x + 9(95) = 561
5x = -284
x = -58.8
The solution is x = -58.8, y = 95
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In 25 years, a bond that paid 7.75% simple interest earned $3,875 interest. What was the principal of the bond in dollars?
the interest the bond paid off is $7507.8125.
What is simple interest?
A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
The formula for simple interest is:
S = p*t*r/100
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
a bond that paid 7.75% simple interest earned $3,875 interest.
S = (3875*7.75*25)/100 = $7507.8125
Hence the interest the bond paid off is $7507.8125.
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help me with this pls
Address the root of both issues radius is 3 √ 6 v π ^2 / 2 π.
How to find radius?r is radius and v is volume.
Write the equation as follows:
4/3 ⋅ ( π r 3 ) = v . 4 /3 ⋅ ( π r 3 ) = v
Divide the two sides of the equation by 1 4 3.
1 / 4 . 3 π ( 4 / 3 ⋅ ( π r 3 ) ) = 1 /4 . 3π v
Simplify the issue from both perspectives.
For more steps, tap.
r 3 = 3 v 4 \sπ
To get rid of the exponent on the left side, take the required root from both sides of the equation.
To get rid of the exponent on the left side, take the required root from both sides of the equation. = 3 √ 3 v /4 π
3 3 v 4 should be made simpler.
For more steps, tap.
r = 3 √ 6 v π ^2 / 2π.
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Find the perimeter of each polygon
The perimeter of polygon ABC = 67.4
The perimeter of polygon PQRS = 78.8
What is the Perimeter of a Polygon?The perimeter of a polygon is calculated by adding the lengths of all sides of the polygon together.
What is the Two-tangents Theorem?The Two-Tangent Theorem states that if two tangents are drawn to a circle from the same external point, then the tangents are congruent (have the same length).
Perimeter of polygon ABC = AB + BC + AC
AB = 10.5 + (23.2 - 11.2) = 22.5 [based on the Two-Tangent Theorem]
BC = 23.2
AC = 10.5 + 11.2 = 21.7
Perimeter of polygon ABC = 22.5 + 23.2 + 21.7 = 67.4
Perimeter of polygon PQRS = PQ + QR + RS + PS
PQ = 25
PS = 21.8
QR = 13 + 4.6 = 17.6
RS = 4.6 + 9.8 = 14.4
Perimeter of polygon PQRS = 25 + 21.8 + 17.6 + 14.4 = 78.8
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