Answer:
9%
Step-by-step explanation:
So first we need to find how much interest he got in a single year.
3600 ÷ 5 = 720
Now we find out how much 720 is compared to 8000.
720 ÷ 8000 = 0.09
Then we make that a percentage:
9%
Which of the contexts below could not be modeled by an exponential function?
A music service has a fixed monthly cost and charges $0.75 for each downloaded
song.
A town's population shrinks at a rate of 4.2% every year.
A population of 200 bacteria triples every week.
A radioactive compound decays at a rate of 10% per hour.
Answer:
The music service one
13. A jeweler wants to make a triangular pendant for a necklace using three pieces of wire. He
has two pieces of wire with lengths of 12 millimeters and 15 millimeters. Describe the possible
lengths for the third wire.
A plane flew at a constant speed between Boston and Philadelphia. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is d=350t. How long will it take the airplane to travel 280 miles?
Based on the equation that relates the distance traveled by the plane going from Boston to Philadelphia, the time it would take for the plane to travel 280 miles is 48 minutes
How to find the time taken?You can use the formula given to find the amount of time taken by the plane to travel 280 miles.
The formula is;
d=350t
distance travelled = 350 x time
Solving for time taken gives;
280 = 350 x time
Time = 280 / 350
Time = 0.8 hours x 60 minutes per hour
Time = 48 minutes
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help i’m haveing a hard time
The result of the function f(x)=x+6 when x= -2,0 and 5 is
f(-2)= 4
f(0)= 6
f(5) = 11
The function is f(x) = x+6
The function is an expression that shows the relationship between one variable and another variable. One variable will be independent variable and another variable will be dependent variable.
The given function f(x) = x+6 when x =-2, 0 and 5. Here we have to substitute the values of x in the given function
f(x) = x+6
f(-2) = -2+6
= 4
f(0) = 0+6
= 6
f(5) = 5+6
= 11
Hence, the result of the function f(x)=x+6 when x= -2,0 and 5 is
f(-2)= 4
f(0)= 6
f(5) = 11
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Sara is multiplying two factors; one is a whole number and one has two decimal places. She says the product could have one decimal place. Is she correct? Give an example and explain your reasoning.
In relation to the division of a whole number by a decimal, Sarah made an incorrect claim.
What is whole number ?A number without fractions or decimals is said to be entire. Whole numbers include 1, 10, and 1000 as examples.
What is decimal ?A decimal number is one that is made up of both integers and non-integers. Decimal numbers include 1.1, 2.2, and 100.234. A number with two digits following the decimal point is said to have two decimal places. Examples include 10.23 and 1.23
Assume that 2 is the entire number and that 2.23 is the decimal. The final value would be 4.46.
Assume that 100 is the entire number and that 2.23 is the decimal. The item is 223.
This demonstrates that having two decimal places on a product is not always necessary.
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20 Words -> 2 Minutes
Find how long will it take to type 1650 words
Answer:
165 minutes
Step-by-step explanation:
A new car worth $21,000 is depreciating in value by $3,000 per year. After how many years will the car's value be $3,000?
After__years, the car's value will be $3,000.
Answer:
After 6 years, the car's value will be $3000=================
GivenInitial value = $21000,Depreciation rate = $3000 per year.To findNumber of years to reach $3000 in value.SolutionThis is a linear relationship, with initial value being the y-intercept and depreciation rate being the slope of the line:
y = 21000 - 3000x, where y- the value of the car after x years.Since y = 3000, plug it in and find the value of x:
3000 = 21000 - 3000x3000x = 21000 - 30003000x = 18000x = 18000/3000x = 6please help, question is on the image.
The number of gigabytes Salma can use while staying in her budget is less than 4.
What is meant by the term inequality?In mathematics, an inequality is a connection between two expressions and values that aren't equal to each other.
Rule 1: Once inequalities are linked, they can be crossed. As a result, if an is greater than b and b is higher than c, a will be greater than c as well.Rule 2: When you swap the values, this same sign also flips.Rule 3: An inequality could be either > or, but not both at the same time.As per the given question;
The total budget of Salma is $75.
The flat cost is $55.
The cost per gigabytes is $5.
Let the number of gigabytes used be 'x'.
Then, the inequality becomes.
55 + 5x < 75
Subtracting 55 from both sides.
55 + 5x - 55 < 75 - 55
5x < 20
Divide both sides by the 5
x < 4
Thus, the number of gigabytes Salma can use while staying in her budget is less than 4.
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x^2+25 find a polynomial corresponding factored form
By using algebraic handling, the factored form of the polynomial is (x + i 5) · (x - i 5).
How to factor a quadratic equations
In this question we have the case of a quadratic equation of the form y = x² + b², the factored form of this polynomial consists in a equivalent form consisting in a product of simpler terms. There is a similar expression whose formula is:
x² - a² = (x + a) · (x - a)
Now we proceed to modify the expression into a factored form:
x² + 25 Givenx² - (- 25) - (- a) = ax² - [(- 1) · 25] (- a) · b = - a · bx² - i² · 25 Definition of complex number(x + i 5) · (x - i 5) Difference of squares / ResultsThe factored form of the polynomial x² + 25 is (x + i 5) · (x - i 5).
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Probability of an event
A class is made up of 10 boys and 10 girls. Half of the boys wear glasses. A student is selected at random from the class. What is the probability that the
student is a boy with glasses?
Write your answer as a fraction in simplest form.
Answer: ¼ or 25% or 0.25
Step-by-step explanation:
5 boys = 25% of the class
5/20
¼ or 25% or 0.25
Simplify.
3/2(x+3/4)−(x+1)
Answer:
x/2 + 1/8
Step-by-step explanation:
3/2(x+3/4) - (x+1)
3/2x + 9/8 - x -1
x/2 + 1/8
Convert 0.17 to a fraction in simplest form and a percent.
Answer: 17/100, which would be 17%
Step-by-step explanation:
Wally and drake both wanted to see the moons of jupiter. they each wanted to buy a telescope that sold for $62.48. together they had a total of $95. how much more money did they have left to save?
The amount of money Wally and Drake have left to save is equal to $29.96 if each one of them wanted to buy a telescope.
The amount of money left to be saved can be calculated by using an algebraic expression.
First, we determine the cost of two telescopes if each one of them wanted to buy a telescope to see the moons of Jupiter.
As the cost of one telescope is $62.48, the cost of two telescopes will be;
62.48 + 62.48 = 124.96
An algebraic expression can be given as;
95 + x = 124.96
where x is the money left to be saved.
Solving for x;
x = 124.96 - 95
x = 29.96
Hence, $29.96 is the amount left to be saved for each one of them to buy a microscope.
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Jill wants to rent a car. Rental Company A charges $40 per day plus $0.10 per mile driven. Company B charges $35 per day plus $0.15 per mile driven. After how many miles driven will the price charged by each company be the same?
Considering the definition of an equation and the way to solve it, after 100 miles driven the price charged by each company will be the same.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear in addition to certain known data.
The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.
To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseBeing "x" the number of miles driven, and knowing that:
Rental Company A charges $40 per day plus $0.10 per mile driven. → Price of company A= 40 +0.10xRental Company B charges $35 per day plus $0.15 per mile driven. → Price of company B= 35 +0.15xThe price charged by each company is the same,the equation is:
Price of company A= Price of company B
40 +0.10x= 35 +0.15x
Solving:
40 - 35= 0.15x - 0.10x
5= 0.05x
5 ÷ 0.05= x
100= x
Finally, after 100 miles driven the price charged will be the same.
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C. Find the equation of a line passing through (2, 2) and having inclination 30º.
The equation of line is (y-2) = 1/[tex]\sqrt{3}[/tex](x-2)
What is Equation of line?
The equation of a line is the algebraic representation of a line using cartesian coordinates.
The general form of the equation of a straight line is written as y = mx + cy=mx+c.
Where m is the gradient of the straight line
and c is the y-intercept of the straight line.
And
The equation of line passing through point ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) is
(y-[tex]y_{1}[/tex]) = m (x-[tex]x_{1}[/tex])
Given line in the graph passes through (2,2).
We have to find the equation of the line.
Given, angle of inclination is 30.
m = tan (angle of inclination)
m = tan 30
m = 1/[tex]\sqrt{3}[/tex]
Therefore after substituting, equation of line
(y-2) = 1/[tex]\sqrt{3}[/tex](x-2)
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find the angles of this
Angles of ∠y is 45° and ∠x is 135°.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
Given Data
SRQ = 130°
∠R = 130°
As PR is the same line
So. angles of the line is 180°.
∠Y + ∠R = 180
∠y = 180 - 135
∠y = 45°
Now, PQ is the straight line
∠y +∠x = 180
∠x = 180-45
∠x = 135°
Angles of ∠y is 45° and ∠x is 135°.
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2x - y = 7
Find the x and y intercept
this is my first question of my unit test sorry i cant give much
The answer is 876. Hope this helps.
Answer:
Option 2: 876
Step-by-step explanation:
[tex]\frac{13,140}{15} = 876[/tex]
Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is CCC and scale factor is 222.
The image of triangle ABC△ABC triangle, A, B, C under a dilation whose center is CCC and scale factor is 222. The dimensions of the new triangle are 8.2, 12.8, and 10.2 units. The graph of the Δ is given below.
What is a transformation of a point?A spatial transformation is each mapping of the feature space to itself and it maintains some spatial correlation between figures.
The △ABC is given below.
The dimensions of triangle are approximately 4.1, 6.4, and 5.1.
And scale factor of the dilation is 2.
If △ABC is dilated by the scale factor of 2 as a center of C.
Then dimensions of the new △A'B'C will be
A'C = AC × 2
A'C = 4.1× 2
A'C = 8.2 units
B'C = BC × 2
B'C = 6.4 × 2
B'C = 12.8 units
B'A' = BA × 2
B'A' = 5.1 × 2
B'A' = 10.2 units
Then the dimensions of new triangle are 8.2, 12.8, and 10.2 units.
The graph of triangle is given below:
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ANOW is rotated 90° about the origin.
Draw the image of this rotation.
The rotation of the triangle is shown with the new coordinates N' = (3, -7), O' = (-4,-5) and W' = (-1, -1).
What are coordinates?A pair of numbers that use the horizontal and vertical separations from the two reference axes to describe a point's location on a coordinate plane. Typically represented by the x-value and y-value pair (x,y).So, a point (x, y) becomes (-y, x) if it is rotated 90° anticlockwise with respect to the origin.
Since, N = (-7, -3) ⇒ N' = (3, -7)O = (-5, 4) ⇒ O' = (-4,-5)W = (-2, 1) ⇒ W' = (-1, -1)(Refer to the image attached below)
Therefore, the rotation of the triangle is shown with the new coordinates N' = (3, -7), O' = (-4,-5) and W' = (-1, -1).
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a. Find the length of each side of the quadrilateral. What do you notice?
b. Find the slope of each side of the quadrilateral. What do you notice? Are any sides parallel or perpendicular?
c. Find the length of each diagonal (the segment that goes from one vertex to an opposite verter), What do you notice?
d. Find the slope of each diagonal. What do you notice?
(1. List the properties that you find, (Ex. Are all sides congruent? Perpendicular? Etc)
(a) The lengths of RE, EC, CT, and TR are 8, 13, 8, and 13, respectively.
(b) The slopes of RE, EC, CT, and TR are 0, not defined, 0, and not defined, respectively.
(c) The lengths of RC and ET are √233 and √233, respectively.
(d) The slopes of RC and ET are -13/8 and 13/8, respectively.
The quadrilateral RECT is a rectangle.
The vertices of the quadrilateral are R(1, 7), E(9, 7), C(9, -6), and T(1, -6).The length of the side RE is √[(1-9)² + (7-7)²] = 8.The length of the side EC is √[(9-9)² + (7-(-6))²] = 13.The length of the side CT is √[(9-1)² + (-6-(-6))²] = 8.The length of the side TR is √[(1-1)² + (-6-7)²] = 13.The length of the diagonal RC is √[(1-9)² + (7-(-6))²] = √233.The length of the diagonal ET is √[(9-1)² + (7-(-6))²] = √233.The slope of the side RE is (7-7)/(9-1) = 0.The slope of the side EC is (-6-7)/(9-9) = Not Defined.The slope of the side CT is (-6-(-6))/(1-9) = 0.The slope of the side TR is (7-(-6))/(1-1) = Not Defined.The slope of the diagonal RC is (-6-7)/(9-1) = -13/8.The slope of the diagonal ET is (-6-7)/(1-9) = 13/8.The sides RT and EC are equal in length and parallel to each other.The sides RE and TC are equal in length and parallel to each other.All the sides are perpendicular to their adjacent sides.Hence, we conclude that the quadrilateral RECT is a rectangle.To learn more about rectangles, visit :
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Which point is located on the y axis iready
Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.
m arcPQR
In the illustration above, a circle with a few lines intersecting at various locations is shown. So, if we split the circle in half, the resulting semicircle has a vertical angle of 180 degrees. Since ∠ROP = 125°, ∠POS = 55° is obtained by taking 180° away from 125°. ∠POS and ∠QOR are equivalent terms. Also, ∠ROP = ∠QOS.
What is lines intersecting?
In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the crossing lines share a common point.
the characteristics of intersecting lines
The intersecting lines (two or more) never cross over at more than one location.
Any angle may be used to intersect the lines in any direction. Always larger than 0° and less than 180°, this angle is generated.
A pair of vertical angles are created by two intersecting lines. The vertical angles have the same vertex and are opposing angles (which is the point of intersection).
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4p−5(p+6) Help plssss
Answer: -p - 30
Step-by-step explanation:
We will simplify the expression.
Given:
4p - 5(p + 6)
Distirubte the negative 5:
4p - 5p - 30
Combine like terms:
-p - 30
The coordinates of the endpoints of line segment se are s(-7,3) and e(2,-6). if point m is on se, what are the coordinates of m such that sm:me is 1:2?
By applying the section formula between three points A, C and B we find that the coordinate of m is ( -4, 0)
Let's suppose we have a line on which we have 3 linear dots A, C, and B respectively, in this we have to use the section formula,
Where A = x1, y1
B = x2, y2
C = m:n
According to the section formula
C = (mx2 = nx1) / m+n * (my2 + ny1) / m+n
Sm/ Me = 1/2
Using section formula :
the coordinates of m = (2-14)/1+2 , (-6+6) / 1+2
the coordinates of m = ( -12/3 , 0/3)
the coordinates of m = ( - 4 , 0 )
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After a 65% reduction, you purchase a new washing machine on sale for $224. What was the original price of the washing machine?
The original price was ___$
Answer:
$369.60
Step-by-step explanation:
65% = 0.65
1.00 + 0.65 = 1.65
$224 * 1.65 = $369.60
the original price was $369.60
Answer:
The original price was 640
Step-by-step explanation:
Let the price be x
100%-65%=35%
35%/100%*x=224
35x=22400
x=640
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride.
The function f(x) = -1.25x + 64 can be used to determine how much money he has left over after x rides? What does f(17) represent?
Group of answer choices
Your friend paid for 17 rides and spent $42.75.
Your friend paid for 17 rides and had $37.25 left over.
Your friend paid for 17 rides and had $42.75 left over.
Your friend paid for 17 rides and spent $37.25.
The function f(17) represent your friend paid for 17 rides and had $42.75 left over.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let f(x) represent the amount that the rider has left over after x rides.
f(x) = -1.25x + 64
f(17) = -1.25(17) + 64 = 42.75
f(17) = $42.75
f(17) represent the money left
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Plot the following ordered pairs on the same Cartesian plane for each one.
1.(2,3)
2.(0,-7)
3.(-5,9)
A graph of the given ordered pairs has been plotted as shown in the image attached below.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an ordered pair?An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.
In conclusion, a graph which represents the given ordered pairs shows a discrete function.
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Help me. I'm so stinking confused.
Answer: There are 7 coffee shops per square mile
Step-by-step explanation:
1,400,000/100,000=14
14x17=238
238/34=7
Line G and lineH are complementary angles. If mlineG = (6x - 15)' and mlineH= (3r + 6)", find H
Since angle G and angle H are complementary angles, the value of x is 11 while angle H is equal to 39 degrees.
What is a complementary angle?A complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).
Mathematically, a complementary angle can be calculated by using this formula:
Q + R = 90°
Where:
Q and R are measure of the angles subtended.
Substituting the given parameters into the formula, we have;
(6x - 15)° + (3x + 6)° = 90°
9x - 9 = 90°
9x = 90 + 9
9x = 99
x = 99/9
x = 11
Next, we would determine the value of H:
H = 3x + 6
H = 3(11) + 6
H = 33 + 6
H = 39 degrees.
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Complete Question:
Angle G and angle H are complementary angles. If G= (6x-15)° and H= (3x+6)° find the x value and H