Elliot borrows $900 to buy an appliance at a yearly simple interest rate. He takes 3 years to pay off the loan and interest. He pays $135 in interest. What is the interest rate?
Answers
1)
You can see that 900 = 9x100.
So you can divide 900 by 9 to get 100.
That means you can also divide 45 by 9 (it’s proportional)
You have 45 for 900, you divide by 9 so you get 5 for 100 -> 5%
Or 2)
(Photo)
It’s a cross-multiplication :
(45 x 100)/900 = 5%
So the interest rate is 5%.
(Sorry if it’s confusing, English isn’t my first language..)
Related Questions
A standard container measures 2.4 m by 2.4 m by 6 m.
Multiply the dimensions to work out its volume.
Answers
Answer:
34.56
Step-by-step explanation:
Please Help! Will give 15 points!!!
4. Find the sum of (0.75x - 12y) and (-5 + 6y - 0.5x)
Show each step of your work.
5. Which expression(s) is/are equivalent to 8-2(5x-3). Show your work to justify your decision.
a. 6(5x-3)
b. 8-10x+6
c. 8-(10x-6)
d. 8-10x-6
e. -10x+14
6. In math class, students are attempting to simplify the expression written on the board: 7 - 2 (3 - 8x)
Three students make an attempt at a first step:
Len writes: 5 (3 - 8x)
Monty writes: 7 - 2 (-5x)
Nailany writes: 7 - 6 - 16x
Do you agree with any of the students? Explain your reasoning for each one.
Answers
Answer:
yo i only got number 4 for you but here it goes.......: 0.70x+18y-5
Step-by-step explanation:
(0.75x - 12y) + (-5 + 6y - 0.5x)
regroup to the variables : (0.70x-0.5x) + (12y+ 6y-5)
put it together: (0.70x)+(18y-5)
you cant add unlike terms so you remove the parenthesies and your done.
Which one represents a proportional relationship?
Answers
Hope this helps you
Pls Help.!!
Find the areas of the following: A square with a width and height equal to 5 feet.
Answers
Answer:
A = 25 ft²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
A square has all equal sides and anglesArea of a Square: A = x²Step-by-step explanation:
Step 1: Define
x = 5 ft
Step 2: Find Area
Substitute in x: A = (5 ft)²Evaluate: A = 25 ft²Quadrilateral JKLM was dilated according to the rule
DO,One-half(x,y)(one-half x, one-half y) to create the image quadrilateral J'K'L'M', which is shown on the graph.
On a coordinate plane, quadrilateral J prime K prime L prime M prime has points (0, negative 2), (3, 2), (6, negative 2), and (3, negative 6).
What are the coordinates of vertex J of the pre-image?
(0, -4)
(0, -1)
(0, 0)
(0, 4)
Answers
Answer:
b is the answer
Step-by-step explanation:
Find the total surface area of this cone,
Round to the nearest tenth.
6cm
4cm
[?] cm2
Answers
Answer:
125.7cm²
Step-by-step explanation:
Given parameters:
Slant height, L = 6cm
Base radius = 4cm
Unknown:
Total surface area = ?
Solution:
To find the total surface area, we use the expression;
Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL
Now insert the parameters and solve
Surface area = [tex]\pi[/tex]r(r + L )
Surface area = [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10 = 125.7cm²
An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.
Answers
Answer:
Step-by-step explanation:
Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144
The height of the body on the ground occurs at when f(x) = 0
0 =-16x^2+144
16x^2 = 144
x^2 = 144/16
x^2 = 9
x = 3
The ball reached the ground after 3 secs
The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;
Domain =(-\infty, infty)
The domain of the function is required.
The domain of the function is the set of real numbers
[tex]x\in(-\infty,\infty)[/tex]
The function is
[tex]f(x)=-16x^2+144[/tex]
The y intercept of the function is
[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]
[tex](0,144)[/tex]
The y intercept is the maximum height here.
The x intercepts are the points where the object is on the ground.
They are
[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]
[tex](3,0),(-3,0)[/tex]
The domain of the function is the set of real numbers
[tex]x\in(-\infty,\infty)[/tex]
The graph of the figure is attached.
Learn more:
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What is the value of x?
Triangle B C D. Angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees.
56°
66°
124°
236°
Answers
Answer:
56°
Step-by-step explanation:
The interior angles of a triangle add up to 180.
You would first set up the following problem:
91 + 33 + x = 180
You would now subtract 91 from both sides.
33 + x = 89
You would now subtract 33 from both sides.
x = 56
The value of x is 56 degrees.
Angle of triangle D is 56 degrees.
What is a triangle?"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."
We have
Angle sum property of a triangle = [tex]180^{0}[/tex]
<B + <C + <D = [tex]180^{0}[/tex]
⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]
⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]
⇒ [tex]x^{0}=56^{0}[/tex]
The value of x is 56 degrees.
Hence, angle of triangle D is 56 degrees.
Learn more about triangle here
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Steph makes and sells birthday cakes. Each cake costs £54 to make.
She makes a profit of 15% on each cake.
What is the selling price of Steph's birthday cakes?
(2 marks)
£=
Answers
The selling price of Steph's birthday cakes such that the profit is 15% will be £62.1.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost per cake = £54
15% of £54 = 0.15 x 54 = £8.1
Selling price = £54 + £8.1 = £62.1
Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be £62.1".
For more about the percentage,
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12(y + 6) = 48
What is y?
Answers
Answer:
y = -2
Step-by-step explanation:
First step: simplify the equation. 12y + 72 = 48
Second step: Combine like terms: 12y = -24
Final step: Use division property of equality: y = -2
ANSWER: y = -2
Hope this helped,
Philip
Brainliest always appreciated! <3
Carlo is buying gas for his car. The gas costs $2.75 per gallon, and Carlo buys 9.8 gallons. How much did Carlo spend on gas?
Answers
Answer:
26.95
Step-by-step explanation:
you have to multiplies 9.8 ×2.75
What is the answer to the questions A. B. C. ?? Please help this is a summative
Answers
Answer:
A) 12.5 per hour. Slope: y = 12.5x
B)500x or Next - Now = 500x = 1,360
C) y = 12.5 + 360
Step-by-step explanation:
A) 360 in account, 40 hour then she has 860.
Find the unit amount so to find how much she gets per hour you have to find the unit amount.
Since she had a total of 860 but she already had 360, subtract 860 - 360 = 500. Now divide by 40: 500/40 = 12.5. (that's how much she gets per hour.)
B) Next , Now
Next she will make 500 every 40 hours so after that she'll have 1.360 in her account.
Equation: Next,Now
So it's the rate of change which will be 500 per 40 hours. so the rate of change is 500x
C) equation:
Rate of change 12.5 per hour
Y- intercept is 360 since that's what she had in her account so,
y = 12.5x + 360
The equation w = 6m+4, relates how a dog's weight varies with age, where m represents its age in months, and the w represents its weight in pounds. How many months before the dog weighed 58 pounds?
Answers
Answer:
9 monthsStep-by-step explanation:
Given the relationship of the dogs weight ang its age modeled by the equation;
w = 6m+4
m represents its age in months, and;
w represents its weight in pounds
Given
w = 58pounds
Required
number of months m before the dog weigh 58pounds;
Substitute w = 58 into the function and get m as shown;
w = 6m + 4
58 = 6m + 4
subtract 4 from both sides
58-4 = 6m+4-4
54 = 6m
divide both sides by 6
54/6 = 6m/6
9 = m
m = 9
Hence it will take 9months before the dog will weigh 58 pounds
f(x)=-**
x+2 and g(x)=-3x² - 7x+10
Some one help?
Answers
what is d? -16(d + 1) = -20
Answers
Answer: d = 1/4
Step-by-step explanation:
−16(d+1)=−20
Step 1: Simplify both sides of the equation.
−16(d+1)=−20
(−16)(d)+(−16)(1)=−20(Distribute)
−16d+−16=−20
−16d−16=−20
Step 2: Add 16 to both sides.
−16d−16+16=−20+16
−16d=−4
Step 3: Divide both sides by -16.
-16d = -4
-16 -16
d = 1/4
Hope this helps :)
Answer:
d=1/4 or .25
Step-by-step explanation:
-16(d+1)=-20
-16d-16=-20
-16d=-20+16
-16d/-16=-4/-16
d= 1/4 or .25
Help! I Greatly appreciated it.
Answers
it is proportional
cause it is trust me
Answer: it's proportional
Step-by-step explanation:
The table and graph show the miles driven and gas used for two scooters.
Answers
Answer:
B
Step-by-step explanation:
Equation of A is
y = 0.0105x
Equation of B is
y = 0.01
B is smaller than A
An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)
Answers
Answer:
$20,232.75
Step-by-step explanation:
I hope it helped
Christo graphs AB with endpoints A( -3, -2 ) and B ( -1, -2 ) what are the endpoints of the image after a reflection of AB across the x axis?
1. (-3,2) and (-1,2)
2.(-3.-2) and (-1,-2)
3. (1,-2) and (3,-2)
4. (2,3) and (2,1)
5. none of the above
Answers
Answer:
1. (-3,2) and (-1,2)Step-by-step explanation:
Reflection over x-axis results in coordinate change as follows:
(x, y) → (x, -y), x-coordinate stays as is and y-coordinate changes its sign to oppositeGiven points:
A(-3, -2) and B(-1, -2)The image of AB will have coordinates:
A'(-3, 2) and B'(-1, 2)Correct choice is 1.
Answer:
(-3,2) and (-1,2)
Step-by-step explanation: I took the test already and got this correct crazy to find this question 2 days later.
help me please i will give out brainliest!
Answers
Answer:
A
Step-by-step explanation:
11. How much did the engineering project change the vertical height of the tower? Did the height increase or decrease? Explain how you found the amount of change. Give your answer in centimeters, rounded to the nearest centimeter. (4 points: 2 points for the change in height, 2 points for the explanation)
Answers
Answer:
when you find out let me know pls. thanks.
have a great day and good luck
Step-by-step explanation:
Mabel scored 19 points more on her math test than Nancy. Phoebe scored 10 points less on her math test than Nancy. If Phoebe scored 23 points, how many points did mabel score.
Answers
The point that is scored by Mabel will be 52 points.
Based on the information given, since Phoebe scored 10 points less on her math test than Nancy and scored 23 points, then Nancy will have:
= 10 + 23 = 33 points
Since Mabel scored 19 points more on her math test than Nancy, then, the point that is scored by Mabel will be:
= 33 + 19
= 52 points
Read related link on:
https://brainly.com/question/18730874
Help pls will mark brainliest
Answers
Answer:
2x^2 - 2x + 5
Step-by-step explanation:
so the south side is the bottom of the rectangle
you just add all the expressions given on the bottom which are
5x +2 , x^2 - 9 , x^2 - 7x + 12
so add 5x +2 + x^2 - 9 + x^2 - 7x + 12
add like terms and you get
2x^2 - 2x + 5
I hope that makes sense :)
Simplify this expression
Answers
Answer:
[tex]\frac{x^{2} }{576y^4}[/tex]
Step-by-step explanation:
Anything to the power of 0 becomes the number 1
[tex]-3x^3\\2(36x^2y^2 )\\\\-x\\2*12y^2\\\\-x^2\\24^2y^2*^2\\\\x^2\\576y^4[/tex]
Which equation or inequality represents the following description:
A number times six is greater than five times the number plus one.
A. 6x < 5x + 1
B. 6x = 5x + 1
C. 6x > 5x + 1
D. 6x > 5x + 1
Answers
Answer:
6x > 5x + 1
Step-by-step explanation:
6 times a number is 6x
is greater than is 6x >
than five time the number is 5x
plus one is 5x +1
all together it is 6x > 5x + 1
Answer: just to give person above brainliest.
Step-by-step explanation:
What is the measure of angle x°?
pls answer real quick 20 points
Answers
Answer:
30
Step-by-step explanation:
A triangle has a total degree of 180. We already have 150(from the 60 and the right angle) 180-150 is 30
Answer:
Its 30 btw :D
Step-by-step explanation:
In the ordered pair (2, 3), 3 is the
Answers
Pretty sure that’s right
What is 2.31 of 5.02
Answers
Answer:
11.5962
Step-by-step explanation:
2.31 of 5.02
In mathematics, saying "of" is the same as multiplying the two values, hence the problem is;
2.31 * 5.02
= 11.5962
Pls answer these and show work plss
Answers
Answer:
25x
Step-by-step explanation:
Is the value of the expression greater than 1, equal to 1, or less than 1?
(12/64)^0
Answers
Answer:
The value of the expression [tex](12/64)^{0}[/tex] is equal to 1
Step-by-step explanation:
You can get this answer two ways:
1. Simply plug in [tex](12/64)^{0}[/tex] into your calculator exactly as it appears. You will get one, so therefore, the expression is equal to 1.
2. If you know your exponent rules, you'll know that anything to the power of 0 equals 1, so no matter the value in the parentheses, the answer will be equal to 1.
Hope this helps!