Below is an example formula that you could use in cell C5:
=IF(B5<15000, 0.05*B5, IF(B5<25000, 0.1*B5, 0.15*B5))
How does the formula works?IF(B5<15000, 0.05*B5, ...) - If the value in B5 is less than $15,000, the formula calculates 0.05 * B5 (the 5% bonus), otherwise, it moves on to the next condition.
IF(B5<25000, 0.1*B5, ...) - If the value in B5 is less than $25,000 but greater than or equal to $15,000, the formula calculates 0.1 * B5 (the 10% bonus), otherwise, it moves on to the next condition.
0.15*B5 - If the value in B5 is greater than or equal to $25,000, the formula calculates 0.15 * B5 (the 15% bonus).
learn more about formula: https://brainly.com/question/657646
#SPJ1
Describe the error in finding the perimeter of the figure. And find the perimeter
Answer:
The length of 5 inches should be counted 1 time.
Step-by-step explanation:
The 5 inches between the triangle and rectangle is inside the shape. So, it doesn't count as perimeter.
13, 11, 9, 7 In the number pattern above, each term is 2 less than the previous term. Which of the following is also true about the pattern?
A. All the numbers are multiples of 3.
B. All the numbers are even.
C. All of the numbers are prime.
D. All the numbers are odd.
HURRY ITS DUE TODAY
The truth about the pattern that we have here is that all of the numbers are: odd.
What are odd numbers?In the number pattern given, each term is 2 less than the previous term. Starting from 13, we have 11 (13 - 2), 9 (11 - 2), and 7 (9 - 2). All of these numbers are odd, making answer D the correct choice.
A. All the numbers are multiples of 3: This is not true, as 9 is the only number that is a multiple of 3.
B. All the numbers are even: This is not true, as all of the numbers are odd.
C. All of the numbers are prime: This is not true, as 9 is not a prime number.
Read more on odd numbers here:https://brainly.com/question/23709877
#SPJ1
original pice $65.00 with a 10% discount
Answer: 58.5
Step-by-step explanation: 65.00 - 10% = 58.5
Answer: $58.50
Step-by-step explanation: Orignal Price: $65.00
10% discount = -$6.50
$65.00 - $6.50 = $58.50.
I need help ASAP!!!!!
Answer:
Nope
Step-by-step explanation:
No, because if you add the angles of B and C (since they're asking for line BC), they must equal the angles of A and D (Since the other line was AD)
The sum of B and C is 90+45 which = 135
The sum of A and D is 90+135 which = 225
135 =/= 225
i need help with this question
The exponential function from the table is f(x) = 2 [tex](0.5)^x[/tex].
The graph is given below.
Option D is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The exponential function is given as,
f(x) = m[tex]a^x[/tex]
Now,
From the table,
2 = m[tex]a^0[/tex]
m = 2
1 = m[tex]a^1[/tex]
m = 1/a ____(1)
0.5 = m[tex]a^2[/tex]
m = 0.5/[tex]a^2[/tex] _____(2)
Now,
From (1) and (2).
1/a = 0.5/[tex]a^2[/tex]
a = 0.5
Now,
f(x) = 2 [tex](0.5)^x[/tex]
Thus,
The exponential function is f(x) = 2 [tex](0.5)^x[/tex].
The graph is given below.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
Describe how the graph of the function is a transformation of the original function f.
y=f(x+16)
The graph of the function y = f(x + 16) is a transformation of the original function f. This transformation has shifted the graph of f to the right by 16 units on the x-axis. This means that the value of x in the original function has been increased by 16, which has an effect on the corresponding value of y in the transformed function.
For example, if the point (a, b) is on the graph of f, then the point (a + 16, b) will be on the graph of y = f(x + 16). The x-coordinate of the point has been increased by 16, and since the transformation is a horizontal shift, the y-coordinate remains unchanged.
In summary, the graph of y = f(x + 16) is a reflection of the graph of f about the vertical axis. The transformation has the effect of shifting the graph to the right, but preserving the shape and overall form of the original function.
How much is invested at 5% and 7%, with annual interest is $490, with a total of $8000
The amount invensted at 5% and 7% are 3500 and 4500 respectively.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, an amount $8000, is invested at 5% and 7%, with annual interest is $490,
For this we will establish the a system of equations,
x + y = 8000......(i)
0.05x + 0.07y = 490
Multiplying by 100,
5x + 7y = 49000.....(ii)
Multiplying eq(i) by 5,
5x + 5y = 40000
Subtract eq(i) from eq(ii)
2y = 9000
y = 4500
Put y = 4500 in eq(i)
x = 8000 - 4500
x = 3500
Hence, the amount invensted at 5% and 7% are 3500 and 4500 respectively.
Learn more about system of equations, click;
https://brainly.com/question/12895249
#SPJ1
A pyramid is composed of six isosceles triangles and a hexagonal base. Each isosceles triangle has a height of 6 in. and a base of 10 in. The area of the hexagonal base is 259.8 in².
What is the surface area of the pyramid?
Enter your answer in the box.
in²
The surface area of the pyramid, given the height and base of the triangles, and the area of the hexagonal base, is 439. 8 square inches
How to find the surface area ?Let's determine the area of the six isosceles triangles using the formula;
= 6 x 1 /2 x base x height
= 6 x 1 / 2 x 10 x 6
= 180 square inches
The surface area of the pyramid is therefore;
= Area of triangles + Area of hexagonal base
= 180square inches + 259.8 square inches.
Add the values, we get;
= 439. 8 square inches
Find out more on surface area at:
https://brainly.com/question/22744289
#SPJ1
Answer: 439.8
Step-by-step explanation:
A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts
down the slope, its speed is 4 m/s. 3 seconds later, at the bottom of the slope,
its speed is 22 m/s. What is the cars acceleration?
Find the area of the rectangle
The area of the given rectangle will be A = 9x² - 64 yards².
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
The area of the rectangle is A = a*b
Given is l =(3x+8) yards
b = (3x-8)yards
So the area of the rectangle is A = l*b
A = (3x+8)(3x-8)
A = 3x² - 8²
A = 9x² - 64
hence the area of the given rectangle will be A = 9x² - 64 yards².
Learn more about rectangular by following the link below.
brainly.com/question/25292087
#SPJ1
Explain what AB means and what AB/ means. How are these two meanings related?''
AB vector is a vector whereas AB bar is a line segment.
What is a vector ?
The vectors are described as an object containing both significance and course. Vector describes the motion of an item from one point to any other. Vector math may be geometrically picturised via the directed line segment.
The duration of the phase of the directed line is known as the value of a vector and the angle at which the vector is inclined shows the path of the vector. The start line of a vector is referred to as “Tail” and the finishing factor (having an arrow) is referred to as “Head.”
The difference is in their names itself.
AB vector is a vector whereas AB bar is a line segment.
A vector has a direction and a magnitude while a line segment ( scalar ) has only magnitude.
Therefore, AB vector is a vector whereas AB bar is a line segment.
To learn more about Vector from given link.
https://brainly.com/question/29740341
#SPJ1
What is the Interquartile range of 41, 41, 43, 43, 45, 50, 52, 53, 54, 62, 63, 63, 67, 75,97
Answer:
Step-by-step explanation
Sort the data: 41, 41, 43, 43, 45, 50, 52, 53, 54, 62, 63, 63, 67, 75, 97
Find the median (Q2): 53
Split the data set into two parts: Q1 (25th percentile) and Q3 (75th percentile)
Q1: 41, 41, 43, 43, 45, 50, 52, 53
Q3: 54, 62, 63, 63, 67, 75, 97
Find the median (Q1) of Q1 and the median (Q3) of Q3:
Q1 = 45
Q3 = 63
Finally, calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 63 - 45 = 18
So, the interquartile range of the given data set is 18. This means that 50% of the data falls within a range of 45 + 18 = 63 and 45 - 18 = 27.
Hey guys please help me with my quiz its about finding the values of letters in angles!!
The value of x is given as follows:
x = 24.
The measure of angle DFE is given as follows:
<DFE = 62º.
How to obtain the measures?To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.
The internal angle measures for this problem are given as follows:
180 - (5x - 14) -> each angle is supplementary with it's external.44º.3x - 10.Hence the value of x is obtained as follows:
180 - 5x + 14 + 44 + 3x - 10 = 180
228 - 2x = 180
2x = 48
x = 24.
The measure of angle DFE is obtained as follows:
<DFE = 3(24) - 10
<DFE = 72 - 10
<DFE = 62º.
More can be learned about the sum of the measures of the internal angles of a triangle at https://brainly.com/question/25215131
#SPJ1
The following equation has an error in one of the operations.
2(x−4y)+3y=2x+11y
Which answer would correct the error?
1. Change 2(x−4y)+3y to 2(x+4y)−3y.
2. Change (x−4y) to (x+4y).
3. Change 2x+11y to 2x−11y.
4. Change 2(x−4y)+3y to 2(x−4y)−3y.
answer is 2 because if we expand the bracket we get 2x–8y+3y which is 2x–5y but if it was 2(x+4y) it would be equal to 2x+8y+3y therefore being 2x+11y
Find the surface area of the sphere. Use 3.14 for pi.
A. 1519.8 yd2
B. 276.3 yd2
C. 6079.0 yd2
D. 552.6 yd2
Answer:
A
Step-by-step explanation:
please memorize this formula for area of sphere
A=4π r²
so d = 22, which means r=11
so A = 4* π*11² = 4*121*π =484π = 1519.76
I need this for math homework anyone on tonight to help? 5/8 = x/12 x=
x = 15/2
do u need an explanation?
2. What is the difference in rainfall from the wettest and driest months?
The difference in rainfall between the wettest and driest months is 3.97 inches.
What is a bar graph?A bar graph is a graphical depiction of information, amounts, or numbers using bars or strips. They are utilized to contrast and compare various data types, frequencies, or other measurements of several categories of data.
On the graph, there are two axes. The numerical data is displayed against the category data on one axis, which is used to depict the numerical values.
Given the graph which shows the rainfall of the wettest and driest months,
here red blocks are for the driest months and blue blocks show the wettest months,
From the graph, we can see that the wettest month has a rainfall height of 2.3 inches
The driest month has a rainfall of -1.67 inches
So the difference between the two will be;
2.3 - (-1.67)
= 2.3 + 1.67 = 3.97 inches
Hence the difference is 3.97 inches.
Learn more about bar graphs;
https://brainly.com/question/17343218?
#SPJ1
The complete question is,
The bar graph shows the differences in a city’s rainfall from the historical average. What is the difference in rainfall between the wettest and the driest months? Write your answer as a decimal.
The difference in rainfall between the wettest and the driest months is inches.
Please use the law of sines to show me how to solve the triangle please. Thank you .
Answer:
[tex]\angle A= 27.2 \textdegree\\\angle B=37.3 \textdegree\\\angle C=115.5 \textdegree\\[/tex]
[tex]a=38.5[/tex] ft
[tex]b=51[/tex] ft
[tex]c=76[/tex] ft
Step-by-step explanation:
Here is the formula for the Law of Sines.
[tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex]`
In this example we are given
[tex]\angle A =27.2 \textdegree\\\angle C=115.5 \textdegree\\c=76.0[/tex]
Angle B
The sum of the interior angles in a triangle add up to 180º. Given 2 angles, we can evaluate the 3rd.
[tex]180\textdegree-115.5\textdegree-27.2\textdegree=37.3 \textdegree[/tex]
[tex]\angle B=37.3 \textdegree[/tex]
Side a
We can use the Law of Sines formula [tex]\frac{a}{\sin A}=\frac{c}{\sin C}[/tex] to evaluate side a.
Inserting our values into the equation gives us
[tex]\frac{a}{\sin 27.2}=\frac{76}{\sin 115.5}[/tex]
Cross multiply to evaluate side a.
[tex]76*\sin 27.2=a*\sin 115.5[/tex]
Divide both sides by [tex]\sin 115.5[/tex].
[tex]\frac{76*\sin 27.2}{\sin 115.5} =a[/tex]
[tex]38.49=a[/tex]
Side b
We can use the Law of Sines formula [tex]\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] to evaluate side b.
Inserting our values into the equation gives us
[tex]\frac{b}{\sin 37.3}=\frac{76}{\sin 115.5}[/tex]
Cross multiply to evaluate side b.
[tex]76*\sin 37.3=b*\sin 115.5[/tex]
Divide both sides by [tex]\sin 115.5[/tex].
[tex]\frac{76*\sin 37.3}{\sin 115.5} =b[/tex]
[tex]51.03=b[/tex]
[tex]\angle A= 27.2 \textdegree\\\angle B=37.3 \textdegree\\\angle C=115.5 \textdegree\\a=38.5\\b=51\\c=76[/tex]
Learn more about the Law of Sines here
brainly.com/question/4372174
sin(A) / a = sin(B) / b = sin(C) / c
where A, B, and C are the angles of the triangle, and a, b, and c are the lengths of the sides opposite those angles.
evaluate without a calculator: sec 30°
Answer:
sec 30° = 1/cos 30° = 2.
Step-by-step explanation:
The secant function (sec) is the reciprocal of the cosine function. So, sec(x) = 1/cos(x). The value of cosine at 30 degrees is sqrt(3)/2, and its reciprocal is 2/sqrt(3), which can be simplified to 2. Hence, sec(30°) = 2.
A cylinder has a volume of 243 pi
and a diameter of 18. What is its height?
Answer:
0.955
Step-by-step explanation:
Height= volume x pi x radius squared (h = V x pi x r^2)
Volume (V) = 243
Height (h) = ?
Pi = 3.14
Radius (r) = 9
Diameter to radius = 18/2 = 9
h = 243 x 3.14 x 9^2
=0.955
Solve the inequality: −5x−4≤6
x > -2
Step-by-step explanation:Inequalities compare the values of 2 expressions.
Solving for x
To solve the inequality, we need to isolate x. First, add 4 to both sides.
-5x ≤ 10Then, divide by 5.
-x ≤ 2Finally, divide both sides by -1. When multiplying or dividing an inequality by a negative, switch the direction of the sign.
x > -2Interpreting the Answer
Verbally, the answer is that x is greater than or equal to -2. This means that any x-value greater than -2 (including -2 itself) will make the original inequality, −5x−4 ≤ 6, true. For example, let's plug in 0.
-5(0) - 4 ≤6-4 ≤ 6This statement is true, which proves our answer is correct.
please help me. {adding this so i am allowed to post this question.
Answer:
The base is 8 and the height is 3. Multiply.
8 * 3 = 24
You will then multiply your product by 1/2.
24 * 1/2 = 12
The area is 12 inches squared.
Step-by-step explanation:
Hope it helps! =D
Answer:
[tex] {12cm}^{2} [/tex]
Step-by-step explanation:
Given
[tex]a = \frac{1}{2} bh[/tex]
b= 8in
h= 3in
8x3 = 24
24 ÷ 2 (Same as multiplying by half)
True or False
In a regular convex polygon all sides and angles are congruent and you can only draw diagonals inside the polygon.
What is the value of x in the triangle?
Answer: D. [tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\tan 30^{\circ}=\frac{x}{15}\\\\x=15 \tan 30^{\circ}\\\\x=5\sqrt{3}[/tex]
calculate the length of AC to 1 decvimL POINT
Answer:The length of AC to one decimal place in the trapezium is 18.1 cm
Step-by-step explanation: Using Pythagoras theorem, we can find the length AC
Pythagoras theorem
c² = a² + b²
Therefore, draw a line from the point B to the line AD and call it line BX.
BX ║ CD
Therefore,
16² - 7² = BX²
256 - 49 = BX²
BX² = 207
BX = √207
BX = 14.3874945699
BX = 14.4 cm
Therefore,
11² + 14.4² = AC²
121 + 207.36 = AC²
AC = √328.36
AC = 18.120706388
AC = 18.1 cm
What are the intercept(s) of f(x) = x2?
Answer:
x intercept: (0,0)
Step-by-step explanation:
y intercept: (0,0)
A museum charges $7 per person for a guided tour with a group of 1 to 14 people or a fixed $105 fee for a group of 15 or more people. Write a function relating the number of people, n, to the cost, C.
The value of function relating the number of people, n, to the cost, C is,
⇒ C (n) = 7n ; if 0 < n < 15
= 105n ; if n ≥ 15
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
A museum charges $7 per person for a guided tour with a group of 1 to 14 people or a fixed $105 fee for a group of 15 or more people.
Hence, he value of function relating the number of people, n, to the cost, C is,
⇒ C (n) = 7n ; if 0 < n < 15
= 105n ; if n ≥ 15
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
PLEASE HURRY This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
(Image: A shape made up of a rectangle and a semicircle, with the semicircle on top of the rectangle. The rectangle has a width of 6 centimeters and a height of 4 centimeters.)
cm²
A shape made up of a rectangle and a semicircle, with the semicircle on top of the rectangle. The rectangle has a width of 6 centimeters and a height of 4 centimeters.
The area for this figure is given as follows:
38.13 cm².
How to obtain the area of the figure?The composite area of the figure is obtained by the sum of the areas of each component of the figure.
The figure is composed as follows:
Rectangle of width 6 centimeters and height of 4 centimeters.Semi-circle of diameter = 6 centimeters = radius of 3 centimers.The area of the rectangle is given by the multiplication of the dimensions, hence:
Ar = 6 x 4 = 24 cm².
The area of the semicircle is given by half the multiplication of π = 3.14 by the radius square, hence:
As = 0.5 x 3.14 x 3² = 14.13 cm².
Hence the total area is given as follows:
A = Ar + As
A = 24 + 14.13
A = 38.13 cm².
More can be learned about areas at https://brainly.com/question/30312231
#SPJ1
ria is buying plates and cubs for a party. she wants the same numbers of each.Plates are sold in packs of 8. cups are sold in packs of 12. what is the least number of plates and cups that ria can buy
The least number of plates and cups she can buy is 24. She will buy 3 packs of plates and 2 packs of cup
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, ria is buying plates and cubs for a party. she wants the same numbers of each. Plates are sold in packs of 8. cups are sold in packs of 12.
Plates = 8 per pack
Cups = 12 per pack
the Lowest common multiple of 8 and 12
8 = 16, 24, 32, 40, 48, 56, 64, 72, 80
12 = 24, 36, 48, 60, 72
The Lowest common multiple of 8 and 12 is 24
The least number of plates and cups she can buy is 24
Packs of plates = 24 plates / 8 per pack
= 3 packs
She will buy 3 packs of plates
Packs of cups = 24 / 12 per pack
= 2 packs
She will buy 2 packs of cup
Therefore, The least number of plates and cups she can buy is 24. She will buy 3 packs of plates and 2 packs of cup
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ1
What is the difference in rainfall from the wettest and driest months ?
The difference in rainfall between the wettest and driest months is the amount of precipitation.
What do you mean by precipitation?Precipitation refers to any form of moisture that falls from the atmosphere to the ground, including rain, snow, sleet, hail, and other forms of precipitation. Precipitation is an important aspect of the Earth's water cycle, as it provides the water that replenishes rivers, lakes, and aquifers, and sustains the growth of plants and animals.
The amount of precipitation that falls in a given area can vary widely, depending on many factors such as geography, temperature, and prevailing weather patterns. For example, areas near the equator tend to receive more rainfall than areas located closer to the poles, and areas with high elevations tend to receive more snow than areas that are closer to sea level.
The distribution of rainfall and other forms of precipitation across a region can also be affected by the prevailing winds, air masses, and topographical features. For example, mountainous areas may receive more rainfall due to the prevailing winds and the way that air masses interact with the terrain.
The difference in rainfall between the wettest and driest months is the amount of precipitation that occurs in the wettest month minus the amount of precipitation that occurs in the driest month. This difference can vary greatly depending on the location and climate of a region.
To know more about climate visit:
https://brainly.com/question/28388440
#SPJ1