Answer: 5.5%
Step-by-step explanation:
Since the money invested has grown to $8300 and the principal was $600, this means the interest is:
= $8300 - $6500
= $1800
Simple interest = (Principal × Rate × Time)/100
1800 = (6500 × Rate × 5)/100
Cross multiply
1800 × 100 = 32500 × Rate
Rate = 180000/32500
Rate = 5.5%
a roofer charges $60 for the first hour of service call and $25 per hour for each additional hour. The roofer also charges a fee for all materials used plus 30% over the cost of the materials. Let r-roofer's cost of materials and h= number of hours worked. What expression could be used to find the cost of a service call
Answer:
y=60+25h+0.3rStep-by-step explanation:
let y be the total charges
given that the hour is h
and the cost for raw material is r
therefore
1. The first hour of service call = $60
2. For each additional hour= 25h
3. 30% over the cost of the materials.= 30/100*r=0.3r
total charges
y=60+25h+0.3r
therefore the expression is
y=60+25h+0.3r
which linear inequality is represented by the graph graph
Answer: choice A
Step-by-step explanation:
The linear inequality represented by the graph is y≥1/3x-1
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us find slope of line passing through points (0, -1) and (3, 0)
Slope = 0+1/3
=1/3
y intercept we have to find
0=1/3(3)+b
b=-1
So equation of line is y=1/3x-1
As the shading is away from origin, we use the greater than or equal to symbol.
y≥1/3x-1
Hence, the linear inequality represented by the graph is y≥1/3x-1
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)
Answer:
y = x+5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-3)/(2 - -2)
( 7-3)/(2+2)
4/4
1
Then slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1*x+b
y = x+b
Substitute a point into the equation
7 = 2+b
7-2 =b
5=b
y = x+5
Answer:
M=1
Step-by-step explanation:
find the slope (M)
the slope is 1
Hope this helps Bodhi,
Jon makes $78 in 12 hours of work for his mom. How much would Jon make in 1 hour of work?
hellllp me with this plz thaks
a=20 cm
b=48 cm
What is the length of c?
PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!
Answer:
The answer is the first choice and the last choice.
Step-by-step explanation:
The first one is already solved for y, so when you plug 9 into the equation in the x spot since 9 is the x-coordinate of the point, you get -2, which is correct because it is the corresponding y-value.
The second one is a mess when trying to solve and it clearly doesn't yield the right answer.
For the last one, when you solve for y and then plug in 9 for x, you get -2, the y-value making it correct.
Pls help...
It is chose from A, B or C
Thanks
Answer:
The answer would be 'C'
It follows the criteria accurately.
Which expression has the greatest value?
A 3 divided by 1/6
B 5 divided by 1/6
C 5 divided by 1/2
D 3 divided by 1/2
the answer is c you just have to solve each one
Evaluate the expression for x=5, y=-3 and z=7
7 - 3y – 3z
Answer:
Step-by-step explanation:
7 - 3(-3) - 3(7) = 7 + 9 - 21 = 16 - 21 = -5
Answer:
-5
Step-by-step explanation:
(Refer to image)
Plug in the y and z and use order of operations to simplify!
f(x)=(x-1)^2(x+3)^3(x+1)
the zero located at x=1 has a multiplicity of ( blank1 ) and the zero located at x=-3 has a multiplicity of ( blank2 ). The graph of the function will touch, but not cross , the axis at an x-value of (blank3)
blank1: 1,2,3
blank2:1,2,3
blank3: 1 only, -3 and 1 only, -3 only, (-3,-1 and 1),-1 only
Answer:
Step-by-step explanation: here ya go g
Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4
Answer:
the answer is x=4
Step-by-step explanation:
5x-4=19
5x=16-4
5x=20
x=4. (dividing both sides by 5)
Simplify (3x-7)^2
Step by step
Answer:
9x² - 42x + 49
Step-by-step explanation:
Given
(3x - 7)² = (3x - 7)(3x - 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(3x - 7) - 7(3x - 7) ← distribute both parenthesis
9x² - 21x - 21x + 49 ← collect like terms
= 9x² - 42x + 49
A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?
Answer:
0
Step-by-step explanation:
The slopes of parallel lines are equal.
Since the slope of the 2nd Ave. line is horizontal, it has no slope.
This means that the new road should also have no slope.
Hope this helps.
The 2nd-eve line is horizontal then the slope of the line will be zero.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise to the run.
Given that a city planner wants to build a road parallel to 2nd Ave. The 2nd eve has the horizontal line.
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 0 - 0 ) / ( -4 + 2 )
Slope = 0
Therefore, the 2nd-eve line is horizontal then the slope of the line will be zero.
To know more about slopes follow
https://brainly.com/question/3493733
#SPJ2
The answer is 10 but just tell me why its ten and I will give brainliest
Answer:
10 inches
Step-by-step explanation:
[tex]\frac{192}{375}[/tex]=[tex]\frac{8}{x}^{3} }[/tex]
[tex]\frac{192}{375}[/tex]=([tex]\frac{512}{x^{3} }[/tex])
x^3=512*[tex]\frac{375}{192}[/tex]
x^3=1000
[tex]3\sqrt{x^{3} }[/tex]=[tex]3\sqrt{1000}[/tex]
x=10 in
Answer:
it equals 10
Step-by-step explanation:
A survey was conducted of students at a highschool and at a college to determine students favorite subjects. The results are shown in the table. What percentage of the students are college students that prefer history?
Highschool-
history(80)
math (50)
science (70)
total(200)
College-
history (70)
math(60)
science (70)
total (200)
History total (150)
Math total (110)
science total (140)
Answer:35%
Step-by-step explanation:
So I’m not sure this is high school math because i’m still in grade school but...
So what you have to do is make a ratio
so if 70 students out of 200 in college prefer history the ratio should be 70 to 200 or 70:200
Then you want to do 70 * 200 which then you get a answer of .35
then to make .35 into a percent you move the decimal two spaces to the left for a answer of 35%
Hope this helps!
A total of 17.5% of students are college students that prefer history.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Total number of students = 400
Number of college students that prefer history = 70
Percentage is the division of the required number with the whole.
Percentage of students who are college students that prefer history is,
= (70 / 400) × 100
= 17.5%
Hence the percentage of students who are college students that prefer history is 17.5%.
To learn more about Percentage, click on the link :
https://brainly.com/question/29116686
#SPJ2
[3.5x10^6]-[1.5x10^5] in scientific notation
Answer:
3.35 × 10^6
Step-by-step explanation:
best get brainly !!.!.!!:
Answer:96
Step-by-step explanation:
Answer:
the answer is 97
Step-by-step explanation:
what are the x-intercepts of this graph (show ur work)
Answer:
X intercepts are (-2, 0) and (4,0). it shows on the graph. I wear glasses and I can clearly see. Did u lose ur eyes in iraq or sm????
Step-by-step explanation:
See attachment for math work and answer.
You can also express the x-intercepts as points: (-2, 0) and (4, 0).
Hello, please help me with the following questions attached. It’s due at 11:59 pm and I really don’t know cause tbh I haven’t been paying attention in that class.
Answer: 3) 3/4 5) (0,1)
Step-by-step explanation:
For number 3 you go rise over run. From the point on the y-axis you rise 3 and then run 4 to the x-axis if that makes any sense
1. please start to pay attention
1. an undefined slope is vertical
2. 90-70/15-3 = 20/12 = 10/6 = 5/3
3. 3/4 (rise over run)
4. slope: -1/5 y-intercept: 12
5. 1
6. y = 1/2x +b
3 = 1/2(1) +b
3 = 1/2+b
subtract 1/2 from both sides
2 1/2 = b
y = 1/2x + 2 1/2
An electrician charges an hourly rate of $50, but also charges a fixed fee for making house calls regardless of time spend on the job. One day, the electrician earned a total of $250 for a 2 hour job. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Answer:
C=50t+150
Step-by-step explanation:
From the information given, the equation will need to show that the total cost of the electrician services would be equal to 50 that is the hourly rate for the number of hours spent working plus the fixed fee:
Fixed fee=250-(50*2)=250-100=150
According to this, the equation would be:
C=50t+150, where C is the total cost of the electrician's services and t is the number of hours spent working.
Please help number 7
Answer:
Ok, so first, at the end of the equation, It says "+ 4" , right? So you put a point on positive 4 on the y-axis (the one that goes up and don, the vertical line.). Then, 2x means that's your slope, but since your graph only goes up to five, you gotta count down ward. So, go down from your point on the y-axis (4) twice and over to the LEFT (<--) once. Plot your point where you end up. then use a straightedge like a ruler, and connect your two points on the graph, and you have your line!
Hope this helps!
Answer:
it is cubix 12
Step-by-step explanation:
yw hope it helps!
50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds
Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
How to solve rolled dice problems?From the given ,question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
The game rules are;
Same number on both dice = +3
Different numbers, with an even sum = +1
An odd sum = -2
After five rounds, score of Chloe = +1
1 = 3 + 1 + (-2) + (-2) + 1
⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.
Complete question is;
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.
Read more about Dice rolls at; https://brainly.com/question/2140973
#SPJ1
Answer:
-2
-2
-2
-2
-2
The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).
Step-by-step explanation:
A LOT OF POINTSS
find the surface area
Answer:
He used 286.73² in. of wrapping paper.
Answer:
I got 286.73
Step-by-step explanation:
I found the area of all the shapes in the thing and added them.
Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73
convert 8/3 to a mixed number
============================================
Work Shown:
8/3 = (6+2)/3
8/3 = 6/3 + 2/3
8/3 = 2 + 2/3
8/3 = 2 & 2/3
The whole part is 2. The fractional part is 2/3.
-----------
Another way you could do the problem is to use long division as shown in the diagram below.
The result of the long division is
8/3 = 2 remainder 2
The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.
So that's another way to get 2 & 2/3
I need help with the #1 question. please help me
Answer:
The answer to number 1 is geometric sequence of A>
Step-by-step explanation:
Is (1,1) a solution to this system of inequalities
A copy machine produces 40 copies in 5 minutes. How many copies can the machine make in 3 minutes? Solve and explain your solution.
Answer:
24
Step-by-step explanation:
40 divided by 5 = 8
8 x 3 = 24
Plz mark me brainsliesttttt
-4 = - 17 + x linear equations
add 17 to both sides
13 = x
hope this helps
See attachment for math work and answer.
A bird was flying 26 feet above a lake. It descended 28 feet to grab a fish. What integer represents the depth of the fish when the bird grabbed it
Answer:
it's -2
Step-by-step explanation:
just subtract ☺️
Answer:
-2
Step-by-step explanation:
"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)