To find the interest rate, we can use the formula for simple interest:
I = P * r * t
Where I is the interest, P is the principal (the amount of money in the account), r is the interest rate, and t is the time (in years).
We know that I = $480, P = $2,000, and t = 2 years.
Plugging these values into the formula, we get:
$480 = $2,000 * r * 2
Dividing both sides by $2,000 * 2, we get:
r = $480 / $2,000 * 2
r = 0.12
So, the interest rate is 0.12, or 12%.
Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Part A: If the product of x and 3 is y, write an equation to represent the relationship between the two variables.
Part B: Explain your work in Part A.
Part C: Create a table of values to display five solutions to the equation. Write the solutions as ordered pairs.
Answer:
Part A: y = 3x
Part B: The relationship of y to x is y is 3 times as much as x.
Part C: (0,0), (1,3), (2,6), (3,9), (4,12)
Step-by-step explanation:
Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.
Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.
Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.
x = 0 -> y = 3(0) = 0; (0,0)
x = 1 -> y = 3(1) = 3; (1,3)
x = 2 -> y = 3(2) = 6; (2,6)
x = 3 -> y = 3(3) = 9; (3,9)
x = 4 -> y = 3(4) = 12; (4, 12)
Cheers.
What’s the answer to this?!!!!!
Answer:
a = 6.7
Step-by-step explanation:
a² + b² = c²
a² + 6² = 9²
a² + 36 = 81
a² = 45
[tex]\sqrt{a^2} =\sqrt{45}[/tex]
a = 6.7
pls dont put links or I'll report ty
x < 9
_
Step-by-step explanation:
I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.
Five less than the quotient of a number and 3 is 13. What is the number? Let n be the unknown number.
[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]Answer: n=54
Step-by-step explanation:
[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]
Answer: n/3 - 3 = 13
so its 48 your welcome
Step-by-step explanation:
A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. How
many of them were fives?
Answer: 56
Step-by-step explanation:
Let the number of $5 be x
Let the number of $2 be y.
Based on the information given, we can form an equation as:
x + y = 128 ........ i
5x + 2y = 424 ....... ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 256 ...... iii
5x + 2y = 424 ....... iv
Subtract iii from iv
3x = 168
x = 168/3
x = 56.
Therefore, there were 56 $5 bills.
At the school carnival, 50 sixth-grade, 30 seventh-grade, and 40 eighth-grade students bought tickets for the raffle. At the end of the night, Quincy draws out two names without replacement. What is the probability that she draws two-seventh-grade students? Please explain?
Answer:
1/60
Step-by-step explanation:
50+30+40=120 (take all the students and add them together.)
2/120 (you only want 2 seventh graders)
simplified is 1/60
The probability that Quincy draws two-seventh-grade students is 0.061, or 6.1%.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.
Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.
Total number of outcomes = C(120, 2) = 7,140
Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.
Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students
Number of ways to choose 2 seventh-grade students = C(30, 2) = 435
Therefore, the probability of Quincy drawing two-seventh-grade students is:
Probability = Number of desired outcomes / Total number of outcomes
Probability = C(30, 2) / C(120, 2)
Probability = 435 / 7,140
Probability ≈ 0.061
Hence, the probability that Quincy draws two-seventh-grade students is 0.061, or 6.1%.
To learn more on probability click:
https://brainly.com/question/11234923
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Rachel types 50 words per minute. She needs to type a 1,500 word report. Determine how many minutes it will take her to type the report from the solution set
Answer:
30 min
Step-by-step explanation:
1500/50=30
Answer:
30 minutes
Step-by-step explanation:
1500 words/50 words per minute = 30 minutes
Plssss helpppp and thank you so so much
Answer:
8
Step-by-step explanation:
slope = change in y over change in x
as y goes up 8, x goes up 1
slope = 8/1 or just 8
Question 1: Are the following two monomials multiplied correctly?
Yes or no
can someone please help I don’t get this
Answer:
mABC = 110
Step-by-step explanation:
pls answer fast❗️❗️❗️
Answer:
84
Step-by-step explanation:
do you want the solution?
(6,3); (1,4)
Slope
Giving brainless answer
Answer:
-(1/5)
Step-by-step explanation:
Well slope is basically
(y2-y1) / (x2-X1)
Subsitute in those numbers and solve, you’d get -(1/5)
Prove: The diagonals of a square are perpendicular.
Answer:
Step-by-step explanation:
Slope of AC= (a-0)/(a-0) = 1
Slope of BD = (0-a)/(a-0) = (-a)/a =-1
Slope of AC x Slope of BD =1 x -1 = -1
Therefore AC perpendicular to BD
Which expression can be used to find the volume of this box 3ft 7ft 5ft? A: 35 + 3 B: 35 x 3 C: (7 + 5) x 3 D :7 + 5 + 3 E: 35 + 35 +35
Answer:
(35 * 3)
Step-by-step explanation:
Given the box with dimension : 3ft * 7ft * 5ft
The volume of the box is :
Length * width * height
(3feets * 7 feets * 5 feets) = 3 * 7 * 5 = 105 feet³
From the options given, the expression which could be used to correctly find the volume would be :
(7 * 5) * 3 = 35 * 3 = 105 ft³
Describe the translation between the blue pre-image and the Maroon image.
(Multiple Choice In image)
Step-by-step explanation:
D.. all points on blue are translated 7 units downwards
can someone please help i beg you. i have to say why this is wrong and solve this correctly. i beg you please
.Step-by-step explanation:
What is the solution to 4|0.5x – 2.5| = 0?
x = 1.25
x = 5
x = –1.25 or x = 1.25
x = –5 or x = 5
Answer:
B. X=5Step-by-step explanation:
To solve this problem, first, you have to isolate the value of x from one side of the equation.
[tex]\sf{4|0.5x-2.5|=0}[/tex]
First, divide by 4 from both sides of an equation.
[tex]\sf{\dfrac{4|0.5x-2.5|}{4}}=\dfrac{0}{4}[/tex]
Solve.
|0.5x-2.5|=0
0.5x-2.5=0
x=5
Therefore the correct answer is x=5.
Answer:x=5 nice day
Step-by-step explanation:I now did this
(3a+1)^{2} -4a^{2} +4a-1
can someone factorize this while explaining how please:)
Answer:
5a(a + 2)
Step-by-step explanation:
Given
(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL
= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms
= 5a² + 10a ← factor out 5a from each term
= 5a(a + 2)
Please help me with this I will give brainlest to the best answer
Answer:
x=4
Step-by-step explanation:
To find x, start with the equation
(7x-5)=33 because you need the two angles to equal each other
7x=28 next subtract 5 from 33 following the rules of PEMDAS
x=4 now you will end up with x=4, after dividing 28 by 4.
Round 4.743 to the nearest hundredth
Answer:
4,700
Step-by-step explanation:
4 is not big enough to round the 7 up to a 8
Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?
A) 6
B) 18
C) 48
D) 54
Answer:
B) 18
Step-by-step explanation:
6 out of 18 is 6/18 = 1/3
1/3 x 54 = 18
Whats 50x^3 - 23x +9
anegays this for my friends
Answer: there are no like terms
I'm not sure if you have the wrong equation but there are no like terms
Find the measure of Arc MP
Answer:
Arc MP = 118 degrees
Step-by-step explanation:
From what we have;
Arc MP = PN - MN
for PN, we can see that we have a right triangle; that means the arc measure is 180 degrees
So PN is 180
Now, for MN, we are going to use angle-arc relationship
From what we have;
MN = 2 * 31 = 62 degrees
So we have the measure of MP as;
180 -62 = 118 degrees
A bag contains a mixture of 300 red and 75 yellow candies. If you choose one candy at random, what is the probability that it is yellow?
Answer: A solid 4% chance of picking a yellow
brainliest plz
Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:
(1 - P(A)) × P(B)
where P(A)=.8 and P(B)=.2
plugging in all things it would be
(1-.8)*.2
which equals .04 or 4%
Maggie is creating a cushion for a circular stool. The stool has a diameter of 14 inches. If she needs fabric to extend 2 inches all the way around the cushion, how much fabric will she need?
Answer:
396 in.^2
Step-by-step explanation:
The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.
We need to find the surface area of the cylinder.
diameter = 14 in.
radius = diameter/2 = 7 in.
height = 2 in.
A = 2(pi)r^2 + 2(pi)rh
A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)
A = 395.84 in.^2
A = 396 in.^2
The amount of fabric that Maggie will need for manufacturing the cushion is 395.84 sq. inches.
What is the surface area of a cylinder?Supposing that a considered cylinder has radius of 'r' units and height 'h' units, then the surface area of that cylinder would be:
[tex]S = \pi r^2 + \pi r^2 + 2\pi r h = 2\pi r(r + h) \: \rm unit^2[/tex]
The table's diameter is of 14 inches. That means, its radius is of 14/2 = 7 inches.
The cushion is going to have 2 inches extra from all sides, so approximately, it is going to be like a cylinder with radius 7 inches and height 2 inches.
The fabric needed for making cushion (from outer side only) in terms of area is same as the surface area of cylinder with radius of 7 inches and height of 2 inches.
Thus, the amount of fabric that Maggie will need for manufacturing the cushion is [tex]S = 2\pi r(r + h) = 2\pi \times 7(7 + 2) \approx 395.84 \: \rm in^2[/tex]
Learn more about area of a circle here:
https://brainly.com/question/13056790
Please answer with explanation
Answer:
a direct variation is a relation that is of the form y = mx
example of a direct variation: y = 2xa partial variation is is a relation that is of the form y = mx+b
example of a partial variation: y = 2x + 1a non-linear function doesn't have a constant rate of changethe graph for a non-linear relationship is curveda non-linear curve may show a positive or a negative relationship
Nobody has answered my question, please help me in this one the most!!
Answer:
the answer is D (the last answer)
Step-by-step explanation:
organism a is a plantae because its autotrophic
organism b is fungi cause its hetrotrophic
Answer:
I think D is correct
Step-by-step explanation:
Because the features of organism A belongs to kingdom Plantae And the features of organism B belongs to kingdom Fungi
What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
Answer:
144
Step-by-step explanation:
Sum of interior angles:
180(n-2)
180(10-2)
1440
Measure of each interior angle:
1440/10=144
SOMEONE HELPPPPPPPP PLEASE?!!?!!!??!!?
Answer:
(10, 5)
Step-by-step explanation:
The circle is located at (10, 5)
What is the sum of the polynomials?
(-x2 + 9) + (-3x2 - 11x +4)
Answer:
- 4x² - 11x + 13
Step-by-step explanation:
Given
(- x² + 9) + (- 3x² - 11x + 4) ← remove parenthesis
= - x² + 9 - 3x² - 11x + 4 ← collect like terms
= - 4x² - 11x + 13