The compound interest formula is:
\(V(t)=A_{0^{}}(1+r)^t\)Where
V(t) is the final value after time t
A0 is the initial value
r is the rate of interest, in decimal
Given, initial investment = 2000 and rate is 2%, which is 2/100 = 0.02, let's find the equation:
\(\begin{gathered} V(t)=2000(1+0.02)^t \\ V(t)=2000(1.02)^t \end{gathered}\)If it takes three robots 17 hours to mow vast lawn how many robots would be needed to mow it under three hours
Answer:1/4 of robot
Step-by-step explanation:
Ellen bought a pedometer wristband to track how many steps she takes. Each day she recorded the number of steps in a table. At the end of the week, she found her mean number of steps was 10,000. She made a bar graph to show her daily steps for the week. Which graph could show Ellen’s steps?
THANKS SO MUCH!!!
Answer:
it is b got it right on my test
Step-by-step explanation:
The required graph that shows Ellen's steps where her mean steps for a week is 10000 is graph 2 where the data are as,
Day 1 = 11000 , Day 2 = 9000, Day 3 = 10000, Day 4 = 12000, Day 5 = 8000, Day 6 ≈ 10000, Day 7 ≈ 10000
Mean of ungrouped data is the average of all the values of the observation in the data set.
Mean = (Summation of all values in data set)/ (Number of observations)
Here there are 7 observations and the mean number of steps is 10000.
For graph 1 the values for each day of the week are as,
Day 1 = 8000 , Day 2 = 9000, Day 3 = 12000, Day 4 = 2000, Day 5 = 6000, Day 6 = 10000, Day 7 = 10000
Thus, the mean number of steps is = (8000+ 9000+ 12000+ 2000+ 6000+ 10000 + 10000) / 7
= 8143 (approximately) ≠ 10000
For graph 2 the values for each day of the week are as,
Day 1 = 11000 , Day 2 = 9000, Day 3 = 10000, Day 4 = 12000, Day 5 = 8000, Day 6 ≈ 10000, Day 7 ≈ 10000
Thus, the mean number of steps is = (11000+ 9000+ 10000+ 12000+ 8000+ 10000 + 10000) / 7
= 10000
For graph 3 the values for each day of the week are as,
Day 1 = 7000 , Day 2 = 14000, Day 3 = 11500, Day 4 = 10000, Day 5 = 4500, Day 6 = 6000, Day 7 = 11000
Thus, the mean number of steps is = (7000+ 14000+ 11500+ 10000+ 4500+ 6000 + 11000) / 7
= 9143 (approximately) ≠ 10000
For graph 4 the values for each day of the week are as,
Day 1 = 8000 , Day 2 = 9000, Day 3 = 9500, Day 4 = 10000, Day 5 = 9000, Day 6 = 7000, Day 7 = 11000
Thus, the mean number of steps is = (8000+ 9000+ 9500+ 10000+ 9000+ 7000 + 11000) / 7
= 9071 (approximately) ≠ 10000
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Can someone help me with this math problem asap
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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5 over 7 converted into a decimal
Answer: 5/7=0.(714285)
Step-by-step explanation:
\(\displaystyle\\\frac{5}{7}=0.(714285)\)
s.p. is 4000, profit is 25% than find c.p.please explain itt
\( \sf= \frac{100}{100 + 25} \times 4000 \\ = \frac{100}{125} \times 4000 \\ = \frac{4}{5} \times 4000 \\ = 4 \times 800 \\ = 3200\)
\( \huge \sf \: Answer\)
The cost price is 3200.
Hope you could get an idea from here
Doubt clarification- use comment section.
How many 3/16-yard pies can be cut from 3/4 yard of ribbion?
The number of 3 / 16 yards pieces that can be cut from 3 / 4 yard of ribbon is 4.
How to find how many pieces of ribbon that can be cut?The actual length of the ribbon is 3 / 4 yards.
He wants to cut 3 / 16 yards pieces from the actual length of the ribbon.
Therefore, the number of 3 / 16 yard that can be cut from 3 / 4 yard of ribbon can be calculated as follows;
number of pieces of ribbon = 3 / 4 ÷ 3 / 16
number of pieces of ribbon = 3 / 4 × 16 / 3
number of pieces of ribbon = 48 / 12
Therefore,
number of pieces of ribbon = 4 yards
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For each value of u determine whether it is a solution to -2u-6<-20
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
A rectangular room is
1.5
times as long as it is wide, and its perimeter is
35
meters. Find the dimension of the room.
The length is :
meters and the width is
meters.
The dimensions of the room are approximately 7 meters by 10.5 meters.
The length is 10.5 meters and the width is 7 meters.What are dimensions?In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.
Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.
The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:
\(\text{Perimeter} = 2(\text{length} + \text{width})\)
Substituting the values we have for length and width, we get:
\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)
Simplifying the equation, we get:
\(\rightarrow35 = 2(2.5\text{x})\)
\(\rightarrow35 = 5\text{x}\)
\(\rightarrow\text{x}=\dfrac{35}{5}\)
\(\rightarrow\bold{x\thickapprox7}\)
So the width of the room is 7 meters.
To find the length, we can substitute x into the expression we have for the length:
\(\rightarrow\text{Length} = 1.5\text{x}\)
\(\rightarrow\text{Length} = 1.5(7)\)
\(\rightarrow\bold{Length=10.5}\)
So the length of the room is 10.5 meters.
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Please help! I’m kinda stuck on these type of questions so an explanation would help too!
Answer:
a. 49
Step-by-step explanation:
so, basically turn the equation around! -15+64. because -15 is in parentheses, we know that it is negative, but another way you can do it is to take away the addition symbol and just use the negative as a subtraction one. so you could do 64-15 and you get 49. for b it's a little different, two negative cancel each other out so because there's a subtraction sign after 18 and there's a negative sign before 55 you can see that to simplify the equation it would be -18+55 or again 55-18. for c I think that one is pretty simple, just do 92-86 (I don't know if you see the pattern yet but most times you can just flip it around.) and for d you can do 17 plus 44 and then make the solution negative. I hope this helped a little!!
100 points and brainliest if you answer all 48 question fast hurry and no link and no wrong answer
Answer:
D = 26°
Step-by-step explanation:
Opposite Angle Theorem
Answer:
There are no 48 questions but the answer to this one I think is the 4th choice
(my opinion)
Step-by-step explanation:
Use substitution to find the value of the expression.
1) 4x - 4, when x = 5
2) 7 + m -2, when m = 5
3) 5+5h + 3, when h = 2
4) 3n-6, when n = 4
Answer:
1. 12
2. 10
3. 18
4. 6
Step-by-step explanation:
In Mathematics, substitution is a method used for solving algebraic equation by inputing the values of a given variable.
1) 4x - 4, when x = 5
4(4) - 4 =
16 - 4 = 12
2) 7 + m -2, when m = 5
7 + 5 - 2 =
12 - 2 = 10
3) 5+5h + 3, when h = 2
5 + 5(2) + 3 =
5 + 10 + 3 = 18
4) 3n - 6, when n = 4
3(4) - 6 =
12 - 6 = 6
If g is the midpoint of AB, classify each triangle by its angles and sides
Each triangle can be classified by its angles and sides in the following ways :
triangle CFE = triangle CFE is a right angle triangle ( as one of its interior angle measures 90° ) . Triangle CFE is also a scalene triangle ( as none of its sides are equal ) .triangle BEC = Triangle BEC is a right angle triangle . It is also a scalene triangle ( as none of its sides or angle are equal ) .triangle BFG = triangle BFG is an equilateral triangle ( all of its sides are equal ) and it is also an acute angle triangle ( all of its angle will be equal to 60° , which is acute ) .triangle GAF = Triangle GAF is an isosceles triangle ( two of its sides - GF and GA are equal ) . It is also an obtuse angled triangle ( one of its angle measures 120° ) .Which inequality has the solution set shown in the graph below?
-7x > -21
-7x ≤ -21
-7x < -21
-7x ≥ -21
The inequality, -7x ≤ -21, has the solution set as same in the graph.
What is an inequality?
The inequality is the relationship between two values that are not equal.
The graph shows that the value x ranges from 3 to less than 3 values.
i.e x ≤ 3
To solve the inequality, -7x -21, we divide both sides by (-7).
i. e (-7x ≤ -21) / (-7)
x≤ 3
Hence, the inequality suitable for the given graph is -7x ≤ -21
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I need help with this please
Step-by-step explanation:On a coordinate plane you move 9 to the right and 2 up
Geneva treated her parents to dinner at their favorite restaurant. The bill was $73.25. She wants to leave 24% of the total bill as a tip. How much should the tip be, in dollars?
Answer:
To calculate the tip, we first need to find 24% of the total bill. To do this, we can multiply the bill amount by 24% (expressed as a decimal).
Tip = 0.24 * 73.25
= 17.58
Therefore, the tip should be $17.58 in dollars.
If $2,500 is invested at 12% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?
Answer: 3,583.32
Step-by-step explanation:
Use money chimp calculator
Find the indicated real nth root(s) of a.
n = 3, a = 1000
The root is
Answer:
10
Step-by-step explanation:
The root of the equation will be 3 x 10⁻³.
What is function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
equation : A mathematical equation is used to equate two expressions.
Given is the equation as follows -
an = 3
The given equation is -
an = 3
For -
a = 1000, so we can write -
1000n = 3
n = 3/1000
n = 3 x 10⁻³
Therefore, the root of the equation will be 3 x 10⁻³.
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help me to solve this problem
Answer:
yher will be ummmm i dont know the answer
edmund has a pitcher that holds 2 quarts of liquis. how mant cups can the pitcher hold?
Answer:
It would be 8 cups
Answer:
it would be 8 cups that should be it
whats -4 times (-9)
please help
Will give a brainiest to the person who answers this problem thanks!!
EASY
Answer:
Domain: [-4,4]
Step-by-step explanation:
Domain is representative of the space on the graph that x occupies. Because all the points are closed, there should be closed or inclusive brackets outside of the domain. Because the lowest inclusive point is -4, that should be the first domain point. The graph continues until -2, where that line stops, but the second line begins at -2, so we include this point too, and there is no need to mention it in the domain. The second line ends at 4, so that is the highest end of the domain and would be the second domain point. Therefore the domain is [-4, 4]. Remember to keep closed brackets because of the closed points.
Pablo solved the polynomial equations given in the table. Determine whether each polynomial is correct. Select Correct or Incorrect for each equation.
Equation
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
(12c-8c²)+(5c²- 10c) = -3c²+2c
The first equation is incorrect.
The second equation is correct.
The third equation is correct.
Let's go through each equation and determine whether it is correct or incorrect:
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
To determine if this equation is correct, we need to simplify both sides and check if they are equal.
On the left side:
(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9
On the right side:
-8b² + 14b - 9
Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
Again, we need to simplify both sides of the equation and check if they are equal.
On the left side:
(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5
On the right side:
-3a² + 13a + 5
Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.
(12c-8c²)+(5c²- 10c) = -3c²+2c
Again, let's simplify both sides and compare them.
On the left side:
(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c
On the right side:
-3c² + 2c
Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.
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How do you do this i cant remember i fell asleep in class
The cost of each sandwich, given the number that was sold and the profit made was $15.
How to find the cost ?Let S be the price of a sandwich and A be the price of a salad.
From the lunch sale, we know:
14 S + 14 A = $280
From the evening sale, we know:
42S + 154 A = $ 1400
Simplify the first equation by dividing through by 14:
S + A = $20
Solving this equation for S gives:
S = $20 - A
Substitute this equation into the second equation:
42 ( $20 - A ) + 154 A = $1400
$ 840 - 42 A + 154 A = $1400
112A = $560
A = $5
Substitute A = $5 into the first equation:
S + $5 = $20
S = $15
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Study the equation.
y = x2 - 4x - 77
Write the equation in graphing form (vertex form).
Answer:
y=(x-2)^2-81
Step-by-step explanation:
Ta Question
Unit Activity: Polynomials and Factors
Question 1
The gray-banded kingsnake requires an enclosure in which the length is at least 20 inches greater than the width and the
height is 33 inches.
w+20
음) 11 of
√6
Vo 0₁
Aw² + Bw + C
What expression models the volume of this enclosure?
Replace the values of A, B, and C to write the expression.
+
4
X
< > S
33
2
W
It
ap CO
A P PO
sin cos tan sin cos tan
csc sec cot log log, In
0
11
1-4
-
0
ZAN
IN
CO
.
U
888
Answer:
33w² +660w
Step-by-step explanation:
You want the expression for the volume of a cuboid with dimensions in inches of 33, (w+20), and (w).
VolumeThe volume of a cuboid is the product of its dimensions:
V = HLW
V = (33)(w +20)(w) = 33(w² +20w)
V = 33w² +660w . . . . expression for volume
__
Additional comment
Comparing coefficients, you see ...
A = 33B = 660C = 0. Why is the following arrangment of squares not an array?
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.
Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.
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A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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What is the quotient? (6x10) divided (1.5 x 10-4)
Answer:
5.4 hope this help
in a certain regular polygon, the measure of each interior angle is four times the measure of each exterior angle. find the number of sides in this regular polygon. (based on problem 9.23 in the textbook)
Therefore, the number of sides in this certain regular polygon is 10.
In a certain regular polygon, the measure of each interior angle is four times the measure of each exterior angle. This means that the interior angle and the exterior angle are supplementary, or add up to 180 degrees. We can use this information to create an equation and solve for the number of sides in the regular polygon.
Let x be the measure of the exterior angle and 4x be the measure of the interior angle. Then we have:
x + 4x = 180
5x = 180
x = 36
Now, we know that the sum of the exterior angles in a regular polygon is always 360 degrees. So we can use this information to find the number of sides:
360/x = 360/36 = 10
Therefore, the number of sides in this certain regular polygon is 10.
Answer: 10.
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Ilene earns $20. She saves $2 for every $8 that she spends. How much of the $20 will she save?
Answer:
5 or 2
Step-by-step explanation: