[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2580\\ P=\textit{original amount deposited}\dotfill & \$2400\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2580=2400[1+(\frac{r}{100})(1)] \implies \cfrac{2580}{2400}=1+\cfrac{r}{100}\implies \cfrac{43}{40}\implies \cfrac{100+r}{100} \\\\\\ \cfrac{4300}{40}=100+r\implies \cfrac{215}{2}=100+r\implies \cfrac{215}{2}-100=r\implies \boxed{\stackrel{\%}{7.5}=r}[/tex]
Answer:
7.5%
Step-by-step explanation:
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR CORRECT ANSWER
please only answer b
Answer:
Positive Slope, the graph interprets how much it costs to rent a canol per hour.
Step-by-step explanation:
Help!
A. 1.5
B. 18
C. 24
D. 15
Answer:
the answer is B
Step-by-step explanation:
I need the answer for these 2
The inequalities in interval notation are given below
What is an inequality?
An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.
(ii) a > b indicates that a is bigger than b.
In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.
The inequalities in interval notation are given below:
(a) (0, 11)
(b) (9, 4]
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question is in picture :) help me work out this problem
Given
Since they are similar
[tex]\begin{gathered} \frac{10}{4}=2.5 \\ \\ \\ \\ The\text{ scale factor is 2.5} \end{gathered}[/tex][tex]The\text{ square of scale factor=2.5}^2=6.25[/tex]Then multiply
[tex]6.25\times30=187.5[/tex]The final answer
[tex]187.5m^2[/tex]What is the position of the other number line below? Write the answer as a fraction or a mixed number
Given:
Number line is given.
D is point locateed in 2.6 on the number line.
D is in 2.6
Tanisha earns $4,000 per month
after taxes. She saves $730. What
percent of her budget is savings?
Answer:
18.25%
Step-by-step explanation:
730/4000 = 0.1825
Over the last three evenings, Karen received a total of 130 phone calls at the call center. The second evening, she received 4 times as many calls as the third evening. The first evening, she received 10 more calls than the third evening. How many phone calls did she receive each evening?
CORRECT ANSWERS ONLY!!! HELP
The number of phone calls that Karen can be said to have received in these evenings are: 30 , 80 , and 20 calls
How to solve for the phone callsWr have x, y , z as the number of phone calls that have been received
Such that
x + y + z = 130
On the second day she received 4 calls more than the 3rd day
y = 4z
On the first evening she had 10 more calls than the last
x = 10 + z
We have to substitute the equations in the first equation
10 + z + 4z + z = 130
10 + 6z = 130
6z = 120
divide through by 6
z = 20
Then x = 10 + 20
x = 30
y = 4z
= 4 x 20 = 80
Therefore on the first day the phone call was 30 minutes, the second day was 80 and the third was 20
To check, 20 + 30 + 80 = 130. the solution is correct
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Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45)?
The estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.
EstimationGiven data or information :
Actual Product = ( – 21.06) (– 30.45)
Now let estimate the product by approximating the product to the nearest tenth.
Approximation :
So,
- 21.06 = - 21.1 ( Approximately )
- 30.45= - 30.5 ( Approximately )
Hence , her estimate can be calculated as :
Estimate :
Estimate = ( - 21.1) (-30.5)
Estimate = - 643.55
Therefore the estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.
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The complete question is:
Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45
front-end estimation
rounding to the nearest tenth
rounding to the nearest whole number
compatible numbers
List the measures of the exterior angles for the triangle shown.
exterior angle at 60° interior angle:
°
exterior angle at 65° interior angle:
°
exterior angle at 55° interior angle:
°
Given,
The measurements of interior angles of a triangle are given:
60°, 65° and 55°
We have to find the corresponding exterior angles:
We know that exterior and interior angles are supplementary.
That is, the sum of the exterior and interior angle is 180°
So here,
Exterior angle at 60° interior angle:180° - 60° = 120°
Exterior angle at 65° interior angle:180° - 65° = 115°
Exterior angle at 55° interior angle:180° - 55° = 125°
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The minimum value of Y in the equation y = x2 - 6x + 8
Given
[tex]y=x^2-6x+8[/tex]To obtain the minimum value of y, we first take the derivative of y
The derivative of y is:
[tex]y^{\prime}=2x-6[/tex]Equating
[tex]y^{\prime}\text{ = 0}[/tex]gives the minimum value we require.
Doing that, we have:
[tex]2x-6=0[/tex]So that
[tex]\begin{gathered} 2x=6 \\ x=\frac{6}{2} \\ =3 \end{gathered}[/tex]Therefore, the minimum value is x = 3
Please help I’ll mark you as brainliest if correct!!
Answer:
y (y + x)
Step-by-step explanation:
Simplify the following:
y^2 + x y
Factor y out of y^2 + x y:
Answer: y (y + x)
Can someone show me how to answer this question? On paper so I can see the steps clearly.
Thanks!!!
Using the comparison test, we have that [tex]\frac{2}{\sqrt[3]{n}}[/tex] is divergent, as the given sequence [tex]a_n = \frac{1}{n}[/tex] is divergent and [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1.
What is the comparison test for two series?Suppose that we have two series, defined by [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex], considering that [tex]a_n, b_n \geq 0[/tex] for all n and [tex]a_n \leq b_n[/tex] for all n, then:
If [tex]\sum b_n[/tex] is convergent, then [tex]\sum a_n[/tex] also is convergent.If [tex]\sum b_n[/tex] is divergent, then [tex]\sum a_n[/tex] also is divergent.For this problem, the sequences are given as follows:
[tex]a_n = \frac{1}{n}, b_n = \frac{2}{\sqrt[3]{n}}[/tex]
Then we have to compare when one of the sequences is greater than another, as we do from the graph at the end of the answer.
From the graph, we have that [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1, and since [tex]\frac{1}{n}[/tex] is divergent, as stated in the problem, then [tex]\frac{2}{\sqrt[3]{n}}[/tex] is also divergent.
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The water level in a lake was 22 inches below normal at the beginning of March. The water level decreased by 3 1/6 inches in March and increased by 1 6/7 inches in April. What was the water level compared to normal at the end of April? Enter your answer as a mixed number.
The water level compared to normal at the end of April is 23 13/42 inches below normal.
How to calculate the fraction?From the information, the water level in a lake was 22 inches below normal at the beginning of March and rhe water level decreased by 3 1/6 inches in March and increased by 1 6/7 inches in April.
The water level compared to normal at the end of April will be:
= -22 - 3 1/6 + 1 6/7
= - 22 - 3 7/42 + 1 36/42
= -22 - 1 13/42
= -23 13/42
There, it is 23 13/42 below normal.
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Change-4x - 2y = -6 to slope intercept form
(y=mx+b)
Answer:
Step-by-step explanation:
-4x-2y=-6
-2y=-6+4x
divide by -2
y=3-2x
y=-2x+3
factor -6 out of 18z-15
If we factor out -6 from the given expression, then we get the answer as -6(-3z + 5/2).
A factor may be defined as a number of another number which when divided by the other number leaves no remainder or it completely divides the other number. For example, 2 is a factor of 4 as when 4 is divided by 2 the remainder is zero. Now, we are given in the question that we need to factor -6 out of 18z - 15. In order to do that we divide and multiply -6 from the given expression. This can be represented as
-6 × (18z - 15)/(-6)
Further we get
-6 × (-3z + 15/6)
-6 × (-3z + 5/2)
which is the required value.
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56 POLES ARE SET 3 METERS APART IN A STRAIGHT LINE.HOW FAR IS IT FROM THE FIRST POLE TO THE LAST
Answer:
168 meters
Step-by-step explanation:
If each pole is 3 meters apart and there are 56 poles, you will need to multiply 56 x 3 and that will give you how many meters the first pole is from the last pole
Hope this helps
Need help for solving fox x
-6 is the value of X
The question can be answered by simply following the rules of angles of geometry. The rule that follows here is:
Rule: Vertically opposite angles are equal i.e whenever two straight lines cross, they create two pairs of equal vertically opposite angles.
Because, both the angles given in the question are vertically opposite to each other
Therefore, angle 80 degree = angle 86 + X
i.e 80 = 86 + X
--> 80 - 86 = X
--> -6 = X
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what are the names of these polygons ?
Answer:
Types of Polygons
3 sides - Triangle.
4 sides - Quadrilateral.
5 sides - Pentagon.
6 sides - Hexagon.
7 sides - Heptagon.
8 sides - Octagon.
9 sides - Nonagon.
10 sides - Decagon.
or
Jacob and Diego are racing to see who can get his community service hours for scouting completed first. Jacob, who has already completed 50 hours, plans to volunteer for 5 hours per week going forward. Diego hasn't started yet, but plans to dedicate 6 hours per week to his volunteer project from now on. Before too long, the boys will be tied, with the same number of volunteer hours. How long will that take?
Using system of equation, the solution shows that it will take 50 weeks before Jacob and Diego will be tied in the race to complete community service hours for scouting.
As given,
let us assign the unknown quantity (number of weeks) a variable x.
Jacob plans to devote 5 hours per week from now onwards. Hence his volunteer hours will cumulate to 5x+50 as he has already completed 50 weeks.
Diego plans to devote 6 hours per week from now onwards. Hence his volunteer hours will cumulate to 6x.
For Jacob and Diego to tie in the race, their volunteer hours should be equal.
Solution of the system of equation is given by:
6x = 5x+50
=> 6x-5x = 50
=> x = 50
Therefore, using system of equation, the solution shows that it will take 50 weeks before Jacob and Diego will be tied in the race to complete community service hours for scouting.
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Can someone help me with this
Answer:
650,000÷10^3 = 650
40,000÷10^4 = 4
7,000÷10^2=70
Step-by-step explanation:
the total cost of renting a car is $35 for each day the car is rented plus 42.5 cents for each mile the car is driven what is the total cost of renting the car for 6 days and driving 350 miles
The total cost of renting the car for 6 days and driving 350 miles is $358.75 .
What is renting car?
An organisation known as a car rental, hire car, or car hire agency lends out cars to the general public for brief periods of time, typically from a few hours to a few weeks. Usually situated close to airports or busy city centres, it is frequently structured with a number of local branches that let customers return vehicles to multiple locations. A website that allows online reservations is sometimes added on top of this.
Car rental businesses generally cater to customers who need a short-term vehicle, such as those who don't own their own car, tourists who are out of town, or owners of damaged or totaled vehicles who are awaiting repairs or insurance settlement.
The cost of renting the car is $35 for each day .
And for each mile the car is driven we have to pay 42.5 cents .
Therefore 6 days the rent is = $35 x 6
= $210
And for 350 miles we have to pay = 350 x 42.5 cents
= 14875 cents = $148.75
In total $ 358.75
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What number gives a result of −5 when 8 is subtracted from the quotient of the number and 6?
Answer: 18
Step-by-step explanation:
n=number
-5=n/6 - 8
-5*6=6(n/6 - 8)
-30=n - 48
48-30=n-48+48
n=18
Amber sold 23.4 pounds of chocolate. She sells the chocolate for $4.76 per pound. How much money did she collect?
HELP THIS IS DUE SOON!
The maximum height the ball reaches is 80 feet
The ball stayed in the air for 1 second
What is a function?A function can be defined as a law, rule or expression that shows the relationship between two known variables:
The dependent variableThe independent variableGiven the function:
h(t) = -16t² + 96
Where;
h is the maximum height measured in feett is the time in secondsTo determine the maximum height in feet that the ball reached, we have to substitute the value of t as
We have:
h(1) = -16(1)² + 96
expand the bracket
h = -16 + 96
Add the values
h = 80 feet
The time it took the ball to stay in the air would be 1 second, this is so because the ball reached it maximum height as t = 1 sec
Hence, the maximum height is 80 feet
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Question
Find the equation of the line with slope m = - 1/3 and passing through the point (1, 1/3)
(Write the equation in standard form.)
answer has to be in the form ax+by=c
The equation of the line is x + 3y = 2
What are linear equations?Linear equations are equations that have constant average rates of change.
How to determine the equation of the line?The given parameters are
Slope, m = -1/3
Points (x, y) = (1, 1/3)
A linear equation is represented as
y = slope * (x - x₁) + y₁
Where
(x₁, y₁) = (1, 1/3)
Substitute (x₁, y₁) = (1, 1/3) and Slope, m = -1/3 in the equation y = slope * (x - x₁) + y₁
So, we have
y = -1/3* (x - 1) + 1/3
Multiply through by 4
So, we have
3y = -(x - 1) + 1
Remove the brackets
3y = -x + 1 + 1
So, we have
x + 3y = 2
Hence. the linear equation is x + 3y = 2
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Can someone help me understand this question please and thank you
The value of x for the given parallel line d || e is x = 20.
What is defined by the term linear pair?Linear pairs of angles are generated when two lines intersect at a single point. If the angles formed are adjacent to one another after the two lines intersect, the angles are referred to as linear. When two angles form a linear pair, their measures add up to 180°. As a result, a linear pair of angles everytime sum to 180°.From the given question;
The lines d || e.
Thus, both sum of both angles will be 180 by linear pair.
2x - 3 + 7x + 3 = 180
Solving;
9x = 180
x = 20
Thus, the value of x obtained for the given parallel lines is 20.
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The diameter of the bicycle wheels is 22 inches what is the radius of the bicycle wheels what is the circumference of the bicycle wheels what is the area of the bicycle wheels
The radius, area, and circumference of the given bicycle wheels are:
Radius = 11 inCircumference = 69.14 inArea = 380.29 inWhat are the area and circumference of a circle?The circle is a two-dimensional rounded figure in which all the points on the boundary of the circle maintain a fixed distance from a definite point called the center of the circle and the fixed distance is called the radius of the circle.The area of the circle is the total space taken by the circle.If r is the radius of the circle, the area of the circle is calculated by the formula:Area = πr²The circumference of the circle is the length of the boundary of the circle.If r is the radius of the circle, the circumference of the circle is calculated by the formula:Circumference = 2πrSo, the Diameter of the bicycle wheel = is 22 inches
Radius of bicycle wheel = 22/2 = 11 inchesCircumference of a bicycle wheel:
2πr2 × 22/7 × 11184/769.14 inArea of bicycle wheel = πr²
22/7 × 11 × 112662/7380.29 inTherefore, the radius, area, and circumference of the given bicycle wheels are:
Radius = 11 inCircumference = 69.14 inArea = 380.29 inTo learn more about the area and circumference of the circle, refer to the link:
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a group of students asked Pythagoras how many students were in his class. "One half study mathematics, one quarter study natural philosophy, one seventh observe silence and there are three others", How many students did he have?
the total number of students in class is given by the equation x - 1 / 2 x - 1 / 4 x - 1 / 7 x = 3 and is equal to 28.
Let the total number of students be x
Mathematics = 1 / 2 x
natural philosophy = 1 / 4 x
Silence = 1 / 7 x
Remaining = 3
So, we get the equation as:
x - 1 / 2 x - 1 / 4 x - 1 / 7 x = 3
(28 x - 14 x - 7 x - 4 x) / 28 = 3
3 x / 28
x = (3 × 28) / 3
x = 28
Number of students in class = 28.
Therefore, the total number of students in class is given by the equation x - 1 / 2 x - 1 / 4 x - 1 / 7 x = 3 and is equal to 28.
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-6n ≥ 18 or n+10> 18
The required result of the given inequality is n≤-3 or n>8.
What is inequality?
Inequality is a relationship between two different quantities or expressions. An inequality may be expressed by a mathematical sentence that uses the following symbols:
< is less than
> is greater than
≤ is less than or equal to
≥ is greater than or equal to
≠ is not equal to
Given, -6n≥18 or n+10>18
-n≤18/6 or n>18-10
n≥-3or n>8
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The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard. What is the length of the painting use the formula A=e x w
The length of this rectangular painting is equal to 1/4 yard.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width of a rectangle.L represents the length of a rectangle.Making L the subject of formula, we have:
L = A/W
Given the following data:
Width of rectangular painting = 2/3 yard.
Area of rectangular painting = 1/6 square yard.
Substituting the given parameters into the formula, we have;
L = 1/6/(2/3)
L = 1/6 × 3/2
L = 3/12
Length, L = 1/4 yard.
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