Answer:
Step-by-step explanation:
x ÷ 48 = 4
Multiplying both sides by 48 we get:
x ÷ 48 x 48 = 4 x 48
x = 192
The dollar value v(t) of a certain car model that is t years old is given by the following exponential function.
v (t)=20,000 (0.86)'
Find the value of the car after 4 years and after 10 years.
Round your answers to the nearest dollar as necessary.
Value after 4 years:
Value after 10 years:
Answer:
4 years: $10,94010 years: $4,426Step-by-step explanation:
Given the value function v(t) = 20000·0.86^t, you want the value after 4 years and 10 years.
EvaluationPut the value of t in the formula where t is, and do the arithmetic.
The attached calculator output tells us ...
value after 4 years: $10,940
value after 10 years: $4,426
__
Additional comment
When you are asked to do the same evaluation with different numbers, it is convenient to process them as a list, or using a spreadsheet.
There are 200 students, where 86 of them were in the athletics team. Therefore, ___% of the students were in the athletics team.
Answer:
43%
Step-by-step explanation:
calculate percentage as
( number of students in athletics team ÷ total students ) × 100%
= ( 86 ÷ 200) × 100%
= 0.43 × 100%
= 43%
Convert the number into standard form, please!
Convert from number format to standard form as a decimal multiplied by a power of 10.
What is standard form?Standard form is a way of writing a number so it is easier to read. It is often used for very large or very small numbers. Standard form is like scientific notation and is typically used in science and engineering.A number is written in standard form when it is represented as a decimal number times a power of 10.As an example, consider the speed of light which travels at about 671,000,000 miles per hour. Written in standard form this number is equivalent to 6.71 x 108.step 1
convert 1.5806*10rais to 4
Convert to decimal notation
1.5806*10^4
The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s)
1.5806 ->15806
step 2
final result
15806
Simplify the expression
1.581*10^4
Simplify exponents and square roots
1.581*10^4
10 ^4 = 10 × 10 × 10 × 10 = 10,000
1.581*10000
Perform any multiplication or division, from left to right:
1.581*10000
15806
To know more about standard forms visit:
brainly.com/question/19169731
#SPJ1
URGENT!!!
Which of the following points best represents the location of -1 5/8 on the number line?
A
B
C
D
Answer:
A
Step-by-step explanation:
[tex]-2<-1 \frac{5}{8}<-1[/tex], and A is the only point between -2 and -1.
Answer: i believe your answer would be C.
Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.
What is the difference between a difference of two squares and a perfect square trinomial?
Depending on whether a and b are real numbers, they can factor as (a + b) (a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.
what is perfect square ?When you square an integer, you get perfect squares. The number 81, for example, is a perfect square since it can be derived by squaring 9: 99=81. Because 12 can be squared to make 144, 144 is a perfect square. 13 may be squared to make 169, which is a perfect square. Mathematics-related language. Informally: When an integer (a "whole") number is multiplied by itself, whether the result is positive, negative, or zero, the result is referred to as a square number, a perfect square, or simply "a square." All square numbers are therefore 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
given
Perfect square trinomials, also referred to as trinomial squares, are the squares of binomial expressions.
Depending on whether a and b are real numbers, they can factor as (a + b)(a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.
To know more about perfect square visit :-
brainly.com/question/385286
#SPJ4
Regan has Rs.10,000 in total. He lent a part of it to Sandip and the remaining to Saline. If Saline paid Rs.2160 more interest than Regan at the end of 3 years and at the rate of 18% simple interest rate. Find how much money did Regan give to Sandip and Saline. (Assume 365 days in a year)
The Rs. 10,000 Regan lent to Sandip and Saline and the Rs.2160 more interest Saline paid than Sandip after 3 years at an 18% simple interest rate, indicates by expressing the amounts using equations, that the amount Regan gives to Sandip and Saline is Rs. 3,000 and Rs. 7,000 respectively.
What is an equation?An equation is the presentation of a statement of the equivalence between quantities, or expressions, by joining the expressions with a '=' sign.
The amount Regan has = Rs. 10,000
Let x represent the amount Regan lent to Sandip, we get;
The amount Regan lent to Saline = 10,000 - x
The interest rate of the loan Regan lent to Sandip and Saline = 18% simple interest
The interest Saline paid to Regan after 3 years, using simple interest = Rs. 2160 + The interest Saline paid to Regan
The simple interest formula is; I = P·R·T/100
Where;
P = The principal amount loaned
R = The interest rate = 18%
T = The time or duration of the loan = 3 years
Therefore;
(10000- x) × 18/100 × 3 = 2160 + x × 18/100 × 3
5400 - 0.54·x = 2160 + 0.54·x
5400 - 2160 = 0.54·x + 0.54·x = 1.08·x
3240 = 1.08·x
x = 3240 ÷ 1.08 = 3000
The amount Regan lent to Sandip, x = Rs. 3000
The amount Regan lent to Saline = 10,000 - x
x = 3000
10,000 - x = 10,000 - 3000 = 7,000 (substitution property)
The amount Regan lent to Saline = Rs. 7,000
Learn more on the simple interest on an amount here: https://brainly.com/question/2273730
#SPJ1
What is step 3 in problem solving?
Step 3 is Define the problem Goals.
there are 8 steps, which are as follows,
1- Define the Problem
2- Clarification of the Problem
3- Define the problem Goals
4- Identify main Cause of the Problem
5- Develop a Action Plan
6- Execute that Action Plan
7- Analyze the Results
8- Continuous Improvements
Problem solving
Problem solving is the method of determining the problem and then clarify the doubts and prepare a action plan and then execute the action plan and find out the desired results and if the results are not appropriate then improve the action plan and your way of doing until you get the desired results.
Learn more about problem solving here: -
https://brainly.com/question/29438624
#SPJ4
How do you match a logarithmic function with its graph?
Matching a logarithmic function with its graph can be done by understanding the key characteristics of logarithmic functions and how they are represented on a graph.
A logarithmic function is of the form y = log base b (x), where b is the base of the logarithm (usually 10 or e).
The graph of a logarithmic function is a reflection of the exponential function of the same base b, across the line y=x.
Here are some key characteristics of logarithmic functions and their corresponding graphs:
1) Asymptote: The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.
2) Domain: The domain of a logarithmic function is x>0, since the logarithm of a negative number is undefined.
3)Range: The range of a logarithmic function is all real numbers
4) Increasing or decreasing: A logarithmic function is increasing over its domain
5) Shape: The graph of a logarithmic function is concave down.
6) x-intercept: The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.
By keeping these characteristics in mind, you can match a logarithmic function with its graph by observing the shape, asymptote, domain and range of the graph.
To learn more about logarithms visit: brainly.com/question/30085872
#SPJ4
45 POINTS -Find the perpendicular line. Don’t explain
By analytical geometry, the line y = - 2 · x - 1 represents a line perpendicular to the line shown in the picture. (Correct choice: C)
How to find the equation of a line perpendicular to another line
According to analytical geometry, lines are described by polynomials of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the equation of the perpendicular line pass through a point of original line and is related to the slope of the line by following relationship:
m · m' = - 1
Where:
m - Slope of original line.m' - Slope of perpendicular line.First, determine the slope and intercept of the original line:
(x, y) = (0, 1)
1 = m · 0 + b
b = 1
(x, y) = (2, 0)
0 = m · 2 + b
2 · m + b = 0
m = - b / 2
m = - 1 / 2
Second, calculate the slope of the perpendicular line:
m' = 1 / (- 1 / 2)
m' = - 2
Third, we conclude by discarding options that the equation of the perpendicular line is y = - 2 · x - 1.
To learn more on perpendicular lines: https://brainly.com/question/21167969
#SPJ1
179÷[618- (241-)]÷12 =
I don't know what I'm doing pls help this urgent
Answer: 215
Step-by-step explanation:
The waitress had a table with a bill of $75.29 and received $12.80. What was the percent tip she received?
Answer:
17%
Step-by-step explanation:
Firstly, we can establish that the tip is a percentage of the bill, excluding tips. This means that the $75.29 would be 100%, thus to find the percentage of tip received, we would take
$12.80/$75.29 × 100 = 17%
How many ways are there to arrange $6$ beads of distinct colors in a $2 \times 3$ grid if reflections and rotations are considered the same
There are 90 ways to arrange 6 beads of distinct colors in a 2*3 grid if reflections and rotations are considered the same.
In order to reach this result, we may use Burnside's Lemma, which states that the average number of arrangements of a symmetric object's symmetric parts, is taken throughout the set of all possible symmetry operations of the object.
You may fix one element and position the rest around it because of the rotation. You now have a total of 90 configurations available.
Thus, If reflections and rotations are treated equally, there are 90 ways to arrange 6 beads of different colors on a 2*3 grid.
To know more grids visit: brainly.com/question/30057173
#SPJ4
49x+ 0.10= 117.90
I need help please
Subtract 0.1 from both sides49x+ 0.10= 117.90
49x+0.1-0.1=117.9-0.1
x=2.404
What is meant by variables?A quantity that may assume any one of a set of values. : a symbol representing a variable. : something that is variable. : a factor in a scientific experiment that may be subject to change.A variable is any characteristics, number, or quantity that can be measured or counted. A variable may also be called a data item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type are examples of variables.A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables49 x+0.1=117.9Move 0.1 to the right side49 x=117.8Divide both sides by 4949 x/49=117.8/49Simplifyx=2.40408To learn more about variables refers to:
brainly.com/question/27894163
#SPJ1
Question 3: Use the graph to fill in the blank with the correct number. f(3) =
10A
5
•
0
5
•
-5.
-10%
Your answer
Answer:
f(3) = 2
Step-by-step explanation:
See the attached graph. f(3) = ____ is asking us to find the value of the function, f, at the point x = 3. At x = 3, the value of y is 2.
Find the measure of the two marked angles NEED HELP ASP!!!!!
The measure of the two marked angles are as follows:
60°60°How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate exterior angle, alternate interior angles, linear angles, vertically opposite angles, same side interior angles etc.
According to the diagram the parallel lines are cut by the transversal and formed the angles.
Hence, the angles are alternate exterior angles.
Alternate exterior angles are congruent. Hence, the angles are as follows:
10x - 20 = 7x + 4
10x - 7x = 4 + 20
3x = 24
x = 24 / 3
x = 8
Therefore, the angles are as follows:
10x - 20 = 10(8) - 20 = 80 - 20 = 60 degrees
7x + 4 = 7(8) + 4 = 56 + 4 = 60 degrees.
learn more on angles here:https://brainly.com/question/9006000
#SPJ1
If 70% of the members remembered the password but 21 members forgot, then how many members were there in all?
Please show work if you can
Thxs
Answer:
70 members
Step-by-step explanation:
Let's call the number of total members x. We know that 30% or [tex]\frac{3}{10}[/tex] of the members forgot, so our equation looks like this:
[tex]\frac{3}{10}x = 21[/tex]
Then, we will multiply both sides by 10 to get rid of the fraction:
3x = 210
Finally, we will divide both sides by 3 to find out our variable, x:
x = 70
So, there are 70 members in total.
Hope this helped!
a. Kiran tried to double this recipe. He used 2 cups of
yogurt, 6 tablespoons of peanut butter, 5 teaspoons of
chocolate syrup, and 4 cups of crushed ice. He didn't
think it tasted right. Describe how the flavor of Kiran's
recipe compares to Clare's recipe.
Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.
Define unitary method.A single or distinct variable is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.
Here,
Given :This recipe was doubled by Kiran. He used 4 cups of crushed ice, 6 tablespoons of chocolate syrup, 6 tablespoons of peanut butter, and 2 cups of yogurt.
1. Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.
2. Answers vary. Sample response: he should use 4 teaspoons of chocolate syrup instead of 5.
Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.
To know more about unitary method , visit
https://brainly.com/question/28276953
#SPJ1
The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm².
The height of the open box is (x - 2) cm.
I have attached a pic
(I already did part (a) and (bi) and you may use the answers to help you do the (bii) question)
+ the answer for (bi) if you can’t see it, it is 4.28 and -6.78
This is the question:
b) (ii) Hence calculate the volume of the box, stating the units of your answer.
A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.
what is volume?The area occupied within an object's three-dimensional bounds is referred to as its volume. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.
given
Calculate the box's volume and provide your answer in units.
Due to the fact that x = 4.28, the remaining sides are 2x + 5 = 2(4.28) + 5 = 13.56
and x - 2 = 4.28 -2 = 2.28.
We are aware that volume is calculated as follows: 13.56 (4.28) ( 2.28 )
=[tex]135.25cm^{3}[/tex]
A box's volume equals [tex]135.25cm^{3}[/tex] the length (2x + 5) cm and breadth x cm of the base of an open rectangular box.
To know more about volume visit :-
https://brainly.com/question/1578538
#SPJ1
Whats the answer to the equation
(-7.14) + (-5.2)
The answer to the addition equation (-7.14) + (-5.2) = -12.34
What is addition?Addition is a mathematical operation in which two numbers are combined together using the addition symbol, +.
What is the answer to the given equation?Since we have the equation (-7.14) + (-5.2), we desire to add both numbers together. We proceed to add the two numbers as follows.
(-7.14) + (-5.2) = -7.14 - 5.2
= -12. 34
So, we see that the answer to the addition equation (-7.14) + (-5.2) = -12.34
Learn more about addition here:
https://brainly.com/question/25421984
#SPJ1
if x+3=9 whats the answer:)
enjoy
Answer:
x=6
Step-by-step explanation:
then x=6 because replacing x 6+3=9
Jared’s monthly income is 4500 Jared spend 11%of his income on grocies
Answer:
Jared's groceries = 495
Step-by-step explanation:
We calculate 11% from Jared monthly income:
11% x 4500 = 495
Jared's groceries = 495
Learn more about percentage here
https://brainly.com/question/24862040
#SPJ1
solve by completing the square
-x^2=5x-14
Answer:
Roots: -7, 2
Step-by-step explanation:
-x² = 5x - 14
-x² -5x +14 = 0
x² + 5x - 14 = 0
(x + 7)(x -2) = 0
x = -7 or x = 2
Which line L has a slope of zero?
Answer:
D
Step-by-step explanation:
GradientA Gradient is also called a slope of a line, which represents how steep a line is.
Formula of slope: Vertical difference ÷ Horizontal difference
For a slope to be zero, the line must be horizontal.
SolutionBased on the question given, we can deduce that D is a horizontal line and therefore the slope is zero.
Jaidyn’s family drinks a total of 10 gallons of milk every 5 weeks . How many gallons of milk does the family drink per week? How many weeks does it take the family to consume one gallon of milk?
Answer:
2 gallons of milk per week
0.35 weeks(3.5 days) to consume 1 gallon
Step-by-step explanation:
Jaidyn's family drinks 10 gallons of milk every 5 weeks, which is a ratio of
10:5
To find how many gallons of milk they drink per week, you'd have to divide 10/5
10 ÷ 5 = 2
Considering that 1 week is 7 days, it would take them 0.35 weeks to consume 1 gallon of milk, which is the same as 3 and a half days.
A line passes through the points (–6,5) and (8,–2). What is its equation in point-slope form?
Answer:
y - (-2 ) = 1\2 ( x- 8)
Step-by-step explanation:
The point slope form equation is y-y₁=m(x-x₁)
( -6 , 5 ) ( 8 , -2 )
( x , y ) (x1 , y1 )
Firstly we need to find the slope
y1 - y -2 - 5
we can find the slope by this equation : ------------- = --------------
x1 - x 8 - (-6)
The slope is 1\2
Please help me with my hw
Answer:
9m^8 n^2
Step-by-step explanation:
Open up the parenthesis and simplify to find your answer.
What is logically equivalent example?
Two statements are logically equivalent if they have the same truth value in all possible circumstances, meaning that they are either both true or both false in any given context.
For example, the statement "All dogs are mammals" is logically equivalent to the statement "All non-mammals are not dogs." Although the statements use different words and phrasing, they convey the same information and are both true.
Another example would be the statement "x>2" is logically equivalent to the statement "x>=3" because they both would have the same solutions.
Logical equivalence is important in logical reasoning, proof and in computer science where it is used to determine if two statements are logically equivalent which leads to simplify the boolean expressions.
To know more on logically equivalent statement
https://brainly.com/question/13278160
#SPJ4
Write an equation in slope-intercept form for each line at the right. Line one goes from (-6,7) to (1,-7) and line two goes from about (1.25,7) to (3.25,-7)
y=-2x-5 and y=-7x+15.75 are equations in slope-intercept form for each line.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
We need to find equation in slope-intercept form of line passing through of (-6,7) to (1,-7) and one more line passing through (1.25,7) to (3.25,-7)
Slope of line with (-6,7) to (1,-7) is m=-7-7/1+6=-14/7
=-2
y intercept we have to find
7=-2(-6)+b
7=12+b
-5=b
So slope intercept form of line passing through (-6,7) to (1,-7) is y=-2x-5
Now Slope of line with (1.25,7) to (3.25,-7) is
m=-7-7/3.25-1.25
m=-14/2=-7
y intercept we have to find
7=-7(1.25)+b
7=-8.75+b
b=15.75
So slope intercept form of line passing through (1.25,7) to (3.25,-7) is y=-7x+15.75
Hence, y=-2x-5 and y=-7x+15.75 are equations in slope-intercept form for each line.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ1
3y+2=2y-5x into y=mx+b form
3y + 2 = 2y - 5x
3y - 2y = -5x -2
y = -5x - 2
help me this is a little confusing for me and i need to be done with it by tomorrow
Answer:
p(r(-3)) = 114
Step-by-step explanation:
I assume you want help with just #4:
[tex]r(x)=5r+2\\r(-3)=5(-3)+2=-15+2=-13\\\\p(x)=x^2+4x-3\\p(r(-3))=p(-13)=(-13)^2+4(-13)-3=169-52-3=117-3=114[/tex]