The total cost of the computer is $2418.75.
The total cost of the computer in sale $2,056.
The computer is regularly priced at $2250.
With the 15% discount, Jerome would save = $2250 × 15%
With the 15% discount, Jerome would save = $2250 × 15/100
With the 15% discount, Jerome would save = $337.50 on the computer
The sales tax is 7.5%.
So the tax on the computer would be = $2250 × 7.5%
The tax on the computer would bee = $2250 × 7.5/100
The tax on the computer would be = $168.75
The total cost for the computer on sale would be = $2250 - $337.50
The total cost for the computer on sale would be = $1,912.5
If the tax is 7.5% .
So he has to pay = $1,912.5 + $1,912.5 × 7.5% = $2,056
Therefore, the total price for the computer on sale would be $2,056,
The price of the computer not on sale = $2250 + $168.75 = $2418.75.
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Blake purchased a new car in 1990 for \$15,200$15,200. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was \$10,000$10,000 in the year 1992, then what would be the predicted value of the car in the year 2001, to the nearest dollar?
Answer:
$3,000
Step-by-step explanation:
To find the predicted value of the car in 2001, we need to use the exponential decay formula:
V(t) = V0 * e^(-kt)
where V0 is the initial value of the car ($15,200), t is the time in years since 1990, and k is the exponential decay constant. We can find k using the value of the car in 1992:
V(2) = $10,000 = $15,200 * e^(-2k)
Solving for k, we get:
k = -ln(0.654) / 2
Now that we have k, we can find the value of the car in 2001:
V(11) = $15,200 * e^(-11k)
To the nearest dollar, the predicted value of the car in 2001 is $$3,000$.
15. Find the perimeter.
11.8
13.3
7.5
11.9
Answer: 47.20cm
Step-by-step explanation:
Is either x=8 or x=10 solution 4x < 34
Answer:
x=8 is true for the this condition
Step-by-step explanation:
4x<34
if x=8
4*8<34
32<34
which is true
if x=10
40 is not greater than 34, so it not satisfied the condition
Which statements are true about the angles in the figure? Select two options.
Angle x and angle y are supplementary angles.
Angle W and angle Z are a linear pair.
Angle W and angle Y are adjacent angles.
Angle X and Angle Z are vertical angles.
Angle Z and angle Y are complementary angles angles.
The true statements are ∠X and ∠Y are supplementary angles, ∠W and ∠Z are a linear pair and ∠Y and ∠Z are complementary angles. The solution has been obtained by using angles and line.
What are angles and line?
Lines having little depth or width are said to be straight. Lines can be perpendicular, intersecting, transversal, and many more various forms. A figure in which two rays emanate from the same point is referred to be an angle.
We know that angles on a straight line add up to 180° and such angles are called supplementary angles.
Therefore, ∠X and ∠Y are supplementary angles.
Similarly, we know that angles on a straight line form a linear pair.
Therefore, ∠W and ∠Z are a linear pair.
Also, we know that two angles are complementary when their sum is 90°.
We can see from the figure that ∠Z and ∠Y add up to 90°.
Therefore, ∠Y and ∠Z are complementary angles.
Hence, the above provided statements are true about the angles.
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The figure of the question is attached below
U={ positive integer between 9 and 21} P={odd numbers} Given that P and Q are subsets of U a. List all the members of P, Q and U b. Illustrate the information on a Venn diagram c. Find P1 and Q1
The set of the numbers are all integers from 9 to 21 inclusive
What is a set?It is the collection of items to form a group
All the members of:
P={odd numbers}
P={9,11,13,15,17,19,21}
Q={Even numbers}
Q= {10,12,14,16,18,20}
U={ positive integer between 9 and 21}
This means that U = {9,10,11,12,13,14,15,16,17,18,19,20,21}
Therefore, P1 and Q1
P prime include all the elements in the universal set that are not in the subset P = {10,12,14,16,18,20}
and Q prime include all the elements in the universal set that are not in subset Q = P={9,11,13,15,17,19,21}
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which expression is equivalent to 2(a-3)+4a
The expression is equivalent to 2(a -3) + 4a will be 6a - 6. Then the correct option is A.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The expression is given below.
⇒ 2(a -3) + 4a
Simplify the expression, then we have
⇒ 2(a -3) + 4a
⇒ 2a - 6 + 4a
⇒ 6a - 6
The expression is equivalent to 2(a -3) + 4a will be 6a - 6. Then the correct option is A.
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The missing options are given below.
A. 6a - 6
B. 6a - 1
C. a - 6
D. None of the above
A rectangle is divided up into four smaller rectangles/ The length of each segment is a whole number of cm. The areas of three rectangles is given in the diagram. Find the number of sq. cm in the total area of rectangle ACEG
The solution is, The value of N is 12 sq cm.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
here, we have,
1. Find the greatest common factor of 35 and 42 to find the length (horizontal). The GCF is 7.
2. The horizontal length of the 35 and 42 sq cm is 7, and the heights are 5 and 6 respectively.
3. Moving on tot he 10 sq cm rectangle,
since the height of just that one rectangle is and 10/5 is 2, the horizontal length is 2.
4. For n, the horizontal length is 2 and the height is 6.
2 X 6 is 12 sq cm.
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Please find the missing side length using trig
Answer:
13.0898597466511 or 13.09
Step-by-step explanation:
A submarine starts at the depth of -15 meters and then dives down 0.5 meter every second
The linear function representing the depth of the submarine after t seconds is given as follows:
d(t) = -15 - 0.5t.
How to obtain a linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The parameters for this problem are given as follows:
b = -15 -> initial depth of the submarine.m = -0.5 -> each second, the height decays by 0.5.Hence the function is given as follows:
d(t) = -15 - 0.5t.
Missing InformationThe problem asks for the linear function representing the depth of the submarine after t seconds.
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which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
19
Natural numbers are sometimes known as counting numbers. Numbers that can be counted but not zero. Whole numbers are a modest extension of natural numbers and include Zero.
Are a set of natural numbers and a set of integers the same thing?A subset of the natural numbers are the positive integers, often known as non-negative integers. Here are a few instances: 1, 2, 3, 4, 5, 6,... In other words, the "natural numbers" are the collection of all whole numbers that do not include 0.
What are a few examples in groups?There are just a limited amount of parts to it. Example: A = 1, 2, 3, and 4. An infinite set has unlimited items. All entire numbers are in a set called whole numbers.
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How do you factor with a leading coefficient greater than 1?
Factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique or quadratic formula.
Factoring a polynomial with a leading coefficient greater than 1 can be more challenging than factoring a polynomial with a leading coefficient of 1. However, there are several methods and techniques that can be used to factor such polynomials.
One common method for factoring polynomials with a leading coefficient greater than 1 is to use the factoring by grouping technique. This involves grouping the terms of the polynomial in pairs and factoring out the greatest common factor of each pair.
The resulting expressions can then be further factored or combined to obtain the final factorization of the polynomial.
Another method for factoring polynomials with a leading coefficient greater than 1 is to use the quadratic formula, which can be used to find the roots of a quadratic polynomial. Once the roots are found, the polynomial can be factored as a product of linear factors.
In some cases, it may also be helpful to use a combination of these techniques, along with other algebraic manipulations, such as completing the square or long division.
Overall, factoring a polynomial with a leading coefficient greater than 1 may require more patience and creativity than factoring a polynomial with a leading coefficient of 1, but with practice and persistence, it is possible to develop the skills and techniques needed to factor such polynomials efficiently and accurately.
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Which of the following sequences are geometric?
Check all that apply.
Answer: A and C
Step-by-step explanation:
- Geometric sequences are sequences where there is a constant number being multiplied or divided.
- In A, we are dividing by 2 each time. In C, we are multiplying by 3
each time.
- B is not multiplication or division. Neither is D.
(っ◔◡◔)っ ♥
Hope this helps.
MM4343
Quadrilateral A'B'C'D' is a translation of quadrilateral ABCD. What is
the length of B'C?
The length of B'C' after the translation of the original object is; B'C' = 3 units
How to interpret translation in transformation?Translation in transformation is simply defined as the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.
Now, from the attached image, we see that;
AB = 7 units
BC = 3 units
CD = 4 units
DA = 5 units
Now, by virtue of the definition of translation, it means that the translated object will retain the same dimensions. Thus;
B'C' = 3 units
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pls help i dont know how to do it i've been out sick
In this figure, lines a and b intersect a transversal, c. What is the relationship between ∠1 and ∠5?
m∠1 = m∠5, because alternate exterior angles are congruent.
What are angles of parallel lines?Angles formed by intersecting two parallel lines with a transversal are known as angles in parallel lines.
Given:
lines a and b intersect a transversal, c.
The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.
m∠1 = m∠5 (Alternate exterior angles are congruent)
m∠1 = m∠5, because alternate exterior angles are congruent.
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The Complete Question is attached below.
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 80 degrees occurs at 5 PM and the average temperature for the day is 60 degrees. Find the temperature, to the nearest degree, at 3 AM.
The temperature at 3 AM is about 53 degrees Fahrenheit.
How would you define temperature?The average kinetic energy of the particles in a medium, such as a gas, liquid, or solid, is measured by its temperature. It is a basic physical characteristic that governs the rate and amount of heat transmission between two bodies that are in thermal contact.
A thermometer is commonly used to measure temperature. It does this by detecting changes in a substance's physical characteristics that change with temperature, such as the expansion or contraction of a liquid or the resistance of a wire.
We are aware that a sinusoidal function models temperature, and the following information is crucial:
A high of 80 degrees is reached at 5 PM, or 17:00 in a 24-hour period.
The day's average temperature is 60 degrees.
We're looking for the temperature at three in the morning, or three in 24-hour time.
We can utilize the fact that the temperature moves through one full cycle in a 24-hour day to determine the frequency. As the time frame is 24 hours, the frequency is:
B = 2π/24 = π/12
To find the phase shift, we can use the fact that the high temperature occurs at 5 PM, which is 8 hours after noon (when the temperature starts to rise). So the phase shift is:
C = (8/24) * 2π = (1/3)π
To find the amplitude, we can use the fact that the temperature swings 10 degrees above and below the average. So the amplitude is:
A = 10
Finally, we can use the formula to find the temperature at 3 AM:
f(x) = A sin(B(x - C)) + D
f(3) = 10 sin(π/12(3 - (1/3)π)) + 60
f(3) ≈ 53.4
So the temperature at 3 AM is about 53 degrees Fahrenheit.
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a plane contains 40 lines, no 2 of which are parallel. suppose that there are 3 points where exactly 3 lines intersect, 4 points where exactly 4 lines intersect, 5 points where exactly 5 lines intersect, 6 points where exactly 6 lines intersect, and no points where more than 6 lines intersect. find the number of points where exactly 2 lines intersect.
With a plane containing 40 lines, no 2 of which are parallel , here are 43 points where exactly 2 lines intersect.
In a plane that contains 40 lines, we are asked to find the number of points where exactly 2 lines intersect. Let's call this number "x".
Since every line intersects exactly 2 points, the total number of line intersections is equal to 2x. In other words, if we add up the number of intersections at each point, the total number should equal 2x.
The problem states that there are 3 points where exactly 3 lines intersect, 4 points where exactly 4 lines intersect, 5 points where exactly 5 lines intersect, and 6 points where exactly 6 lines intersect. At the same time, it states that there are no points where more than 6 lines intersect.
To calculate the total number of intersections, we need to multiply the number of lines that intersect at each point by the number of points, and then add them up. In mathematical terms:
2x = 3 * 3 + 4 * 4 + 5 * 5 + 6 * 6
Expanding the right side of the equation:
2x = 9 + 16 + 25 + 36
= 86
Dividing both sides of the equation by 2:
x = 43
So there are 43 points where exactly 2 lines intersect.
This is because at each point where exactly 2 lines intersect, the number of intersections is equal to the number of lines. In total, these 43 points account for 86 line intersections, which is half of the total number of line intersections in the plane.
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If the diameter of the pie is ten inchefls, what is the approximate arc length of one slice of pie?
A. 1.67 inches
B. 13.08 inches
C. (c) 3.14 inches
D. D 5.24 inches
The approximate arc length of one slice of pic is 5.24 inches according to the circle circumference.
Let us assume that the pic is equally cut into 6 pieces. Also given that the diameter of the pie is 10 inches.
Diameter (D)=10.
So the radius will be D/2.
Radius (R)=10/2=5.
The pie's circumference is given by:
C=2πR
C=2π*5
C= 10π (in)
Because the pie is divided into six pieces, the circumference of the pie is divided into six equal-length arcs. So,
Length of Arc (L)= 10π/6
L = 5π/3
L= 5(3.14)/3
L=5.234=5.24
Therefore the approximate arc length of one slice of pie is 5.24 inches.
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if the mean is 9,8,10,x,14 is 11 then find the value of x
The value of x is 14
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organised in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.
To find the mean, add up all the numbers and then divide by the number of numbers
(9+ 8+10+ x+14)/5 = 11
Multiply each side by 5
9+ 8+10+ x+14 = 55
Combine like terms
41 +x = 55
Subtract 41 from each side
x =14
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Andrew ran 0.75 miles at basketball practice.
Write 0.75 miles as a fraction in simplest form.
of a mile
Write 0.75 miles as a percent.
% of a mile
Answer:
Fraction 3/4 percent 75%
Step-by-step explanation:
.75 in simplest form is 3/4
Alex is putting away bowls in the school cafeteria. He must stack the bowls so they will all fit in the cupboard, but each stack can be only five bowls high.
If Alex has 287 bowls to put away, what is the minimum number of stacks he will have to make?
Answer:
heyyyyy
Step-by-step explanation:
whatssss goooddd
15 pts pls help me TvT
Chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Let M be the midpoint of AB, so EM is perpendicular to AB.
Since OF is a diameter of the circle, angle EOF is a right angle.
Triangles EOF and EMA are similar, since they both have a right angle and angle EFM is congruent to angle EAM, being alternate interior angles of parallel lines.
The corresponding sides are proportional:
EF / EA = EO / EM.
EM is half the length of AB, which is the diameter of the semicircle,
EO must be equal to the radius of the semicircle.
Therefore, we have EF / EA = radius / (diameter / 2) = 2 / 2 = 1,
EF = EA.
Hence, chords AB and CD intersect at E and AE= EB is Semi circle is drawn with diameter CD. EF perpendicular to CD meet this semi circle at F then AE= EF
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Samir bought snacks for his team's practice. He bought a bag of popcorn for $1.67 and a 24-pack of juice bottles. The total cost before tax was $31.19. Write and solve an equation which can be used to determine
x, how much each bottle of juice cost.
Answer:
Step-by-step explanation:
is this in deltamath or bigideas? lol
(31.19-1.67)/24=x
"/" means divide.
What is the answer to 52+6y-22
1. The volume of the cone is 27pi what is the volume of the cylinder
with the same radius and height
The height is 9 units
V = 763.407015 m
Mr. Mackinson has to choose 2 students to lead the class field trip. If he draws from a list of 6 boys and 6 girls, what is the probabilty that the names of 2 girls will be drawn?
The required probability of Mr. Mackinson choosing the names of 2 girls is approximately 0.2273.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The total number of ways to choose any 2 students from a group of 12 is given by the combination formula:
C(12,2) = 12! / (2! * 10!) = 66
This means there are 66 total ways for Mr. Mackinson to choose any 2 students from the class.
To calculate the probability of choosing 2 girls, we need to count the number of ways to choose 2 girls from the group of 6 girls. We can use the combination formula again:
C(6,2) = 6! / (2! * 4!) = 15
This means there are 15 ways for Mr. Mackinson to choose any 2 girls from the class.
So the probability of Mr. Mackinson choosing 2 girls is:
P(2 girls) = number of ways to choose 2 girls / total number of ways to choose 2 students
= C(6,2) / C(12,2)
= 15 / 66
= 0.2273
Therefore, the probability of Mr. Mackinson choosing the names of 2 girls is approximately 0.2273.
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3. Meenakshi bought 12 books, each costing 250.75, if she gave the shopkeeper ₹ 4000. How much money will returned?
ans
4. One crayon set costs 25. How many crayon sets can be bought for rupees 2750
ans
5. Manu goes to buy a new bicycle in an exchange offer. The price of the new bicycle is bike on exchange is he pays for his new bike?
ans
pls put the questin number and give the answer
3. The amount that should be returned to Meenaski for buying 12 books worth R250.75 each and giving the shopkeeper R4,000, using mathematical operations, is R991.
4. The number of crayon sets that can be bought for R2,750 if one set costs R25, using division operation, is 110.
5. Manu will pay R1,700, exchanging his old bike for a new bike.
What are the mathematical operations?The four basic mathematical operations include addition, subtraction, division, and multiplication.
These mathematical operations are performed to solve algebraic problems using the relevant mathematical operands and rules.
Books:The number of books bought = 12
The unit cost of each book = R250.75
The total cost of the 12 books = R3,009 (R250.75 x 12)
The amount advanced to the cashier = R4,000
The balance to be returned = R991 (R4,000 - R3,009)
Crayon:The cost of a set of crayon = R25
The amount of money for the purchase = R2,750
The number of crayon sets that can be bought with R2,750 = 110 (R2,750/R25).
Bicycle:The price of the new bicycle = R2,500
The value of the old bike for exchange = R800
The amount to be paid = R1,700 (R2,500 - R800)
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Question Completion:The price of the new bicycle is R2,500. The bike on exchange is worth R800. How much does he pay for his new bike?
The table shows the monthly revenue of a business rising exponentially since it opened an online store.
b. Write an equation to represent the revenue, R, as a function of months, m, since the online store opened.
The monthly revenue of the business grows by 8%, monthly.
The definition of revenue?
The total income a firm receives from the sale of products or services that are connected to its core business operations is referred to as revenue.
Since it appears at the top of the income statement, revenue, also known as gross sales, is frequently referred to as the "top line." An organization's whole earnings or profit is known as income, or net income.
An exponential function is represented as
y = abˣ
From the table we have the following ordered pair
(x,y) = {(0,72000) (3,90000)}
So, we have
90000 = 72000 * b³
Divide both sides by 72000
b³ = 1.25
Take the cube roots of both sides
b = ∛1.25
b = 1.08
Recall that
b = 1 +r
1 + r = 1.08
r = 0.08
r = 8%
Hence, the monthly revenue of the business grows by 8%, monthly.
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Write the exponential function that describes the situation.
The initial amount of the function is 12, and then it decreases by a factor of 7/9
with each unit increase in x.
Gail is selling Girl Scout cookies. This week Mrs. Martin bought 3 boxes, Mr. Leesville bought 4 boxesm, and her friend Carroll bought 1 box. Mr. Millbrook cannot eat cookies so he gave a $7 donation to Gail's troop. If Gail sold 10 boxes last week and the amount of money she collected last week equals the amount of money she collected this week, write and solve an equation to determine how much each box of cookies costs.
Answer:
Let's assume that the cost of each box of cookies is "x" dollars.
Based on the given information, Gail sold a total of 3 + 4 + 1 = 8 boxes of cookies this week, and Mr. Millbrook gave a $7 donation. Therefore, the total amount of money collected this week is:
8x + 7
Since we know that Gail sold 10 boxes of cookies last week and collected the same amount of money, we can set up an equation:
10x = 8x + 7
Solving for x, we get:
2x = 7
x = 3.50
Therefore, each box of Girl Scout cookies costs $3.50.
Step-by-step explanation:
