The interest earned almost is $337.50 when a $4,500 type of saving account have earns 2.5% simple interest for almost 3 years.
Simple Interest = Principal x Interest Rate x Time/ 100
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest. Simple interest does not compound, so the creditor only has to pay interest on the principal sum and the borrower never has to pay interest on the interest that has already accrued.
The principal, or initial amount of a loan, is used to compute simple interest. Compound interest is often referred to as "interest on interest" since it is computed using the main amount and the interest that has accrued over the course of previous periods.
Here Principal= 4500
Rate= 2.5%
Time= 3 years
Using Simple Interest
SI = ( P x R xT)/100
SI = (4500 x 2.5 x 3) /100
SI = 33750/100
SI = $337.50
Hence, the interest earned is $337.50
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Correct Question:
Calculate the interest earned on a $4,500 saving account that earns 2.5% simple interest over 3 years.
Find the midpoint of PQ. SEE17. P(3, 5), Q(-2, 13) 18. P(-2, 2.5), Q(1.4, 4) 19. P(4 1/3, 3 1/6), 0(-2 1/5, 3 2/3)
Therefore, The necessary midpoints are Mz(1 1/5, 3 1/4), My (-0.3, 3.25), and Mx(1/2, 9).
Where does the middle point lie?Sometimes you have to locate the precise midpoint between two other plane point. You might, for instance, wish to locate a line that divides a given line segment into two equal halves. The "halfway" is the name given to this midpoint.
Here,
M can be used to indicate where two coordinates (x, y) and (a, b) meet in the middle (s, t)
s = x +a/2; t = y +b/2
Mid points
For P(3, 5), Q (-2, 13)
s = 3 - 2 / 2 ; t = 5 + 13 /2
1 / 2 =s ;
t= 9
Mx(1/2, 9) is a midpoint.
For P(-2, 2.5), Q (1.4, 4)
s = -2 + 1.4 / 2 ; t = 2.5 + 4 / 2
s = -0.3 ; t = 3.25
My middle (-0.3, 3.25)
For P(4 1/3, 3 1/6), Q (-2 1/5, 3 2/3)
s = (4 1 / 3 - 2 1/5 ) / 2 ; t = (3 1/6 + 3 2/3) / 2
s = 1 1/15 : t = 3 1/4
Midpoints Mz(1 1/5, 3 1/4)
Thus, the required midpoints are Mx(1/2, 9), My (-0.3, 3.25) and Mz(1 1/5, 3 1/4).
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samuel used 1/5 of an ounce of butter; jacob used 1/7 of a liter; mason used 1/6 of a gram; michael plays 1/5 of a song in 1/15 of a minute
The ounces of butter that are needed to make a pound of jelly is 3 ounce .
In the question ,
it is given that ,
Samuel is using 1/5 of an ounce of butter to make 1/15 of a pound of jelly.
let the number of ounces of butter needed to make a pound of jelly be "x" .
So , the equation for the situation can be represented as
( 1/5 ounce butter)/(1/15 pound jelly) = x/( 1 pound jelly)
So ,after cross multiplication ,
we get ,
15/5 = x/1
So , x = 3 .
Therefore , the ounces of butter needed is 3 ounce .
The given question is incomplete , the complete question is
Samuel used 1/5 of an ounce of butter to make 1/15 of a pound of jelly. How many ounces of butter are needed to make a pound of jelly ?
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what number is an element range of the equation y =2x – 7
for the domain of {4, 3, 2} ?
You have an element range of the equation y = 2x - 7 for the domain of 4, 3, 2 with values of -15, -13, and -11.
what is range ?The difference between the highest and lowest values in a set of numbers is known as the range. Subtract the lowest value in the distribution from the highest to determine it.
Between the lowest and greatest numbers, there is a range. In the example,{4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. The range then equals 9 - 3 = 6.
Here the explanation ,
The R domain xx.
R' is the range yy.
Y=2x7 is the equation of a line with slope m=2, and the domain and range of any line with m 0 and m are all real values.
The R domain xx. R is the range "y"
You have a range of -15, -13, and -11.
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Convert \large \frac{5\pi}{7}radians to degrees.
(Use \large \pi = 3.14 when necessary and round your final answer to the hundredths place.)
\large \frac{5\pi}{7}radians= degrees
The equivalent measure of the angle when converted from radians to degrees is 128.57 degrees
How can the angle be converted from radians to degrees?From the question, we have the following parameters that can be used in our computation:
Angle = \large \frac{5\pi}{7}radians to degrees.
This angle can be properly expressed
So, we have the following representation
Angle = 5π/7 radians
Also, the angle can be further expressed
So, we have the following representation
Angle = 5/7 π radians
As a general rule of angle conversion, we have
π radians = 180 degrees
Substitute the known values in the above equation, so, we have the following representation
Angle = 5/7 * 180 degrees
Evaluate the products
Angle = 128.57 degrees
Hence, the measure of the angle in degrees is 128.57 degrees
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Answer the angle when converted from radians to degrees is 128.57 degrees
Angle = 5π/7 radians
Angle = 5/7 π radians
π radians = 180 degrees
Angle = 5/7 * 180 degrees
Evaluate the products
Angle = 128.57 degrees
a study was conducted to determine if drinking a cup of tea before bedtime helped with falling asleep faster. after randomly assigning 50 people to one group that received tea before bedtime and 50 other people to a group that did not receive tea before bedtime, the researcher then compared the amount of time it took for each person to fall asleep.
According to the given hypothesis, the experiment was conducted based on the observational study.
Hypothesis:
in statistics, the statement of expectation or prediction that will be tested by research is known as hypothesis.
Given,
Here we have a study was conducted to determine if drinking a cup of tea before bedtime helped with falling asleep faster. after randomly assigning 50 people to one group that received tea before bedtime and 50 other people to a group that did not receive tea before bedtime, the researcher then compared the amount of time it took for each person to fall asleep.
Now, we need to find the type of study used in the given study.
While we looking into the given question, we know that they researchers must study the group of 100 people sleeping patter.
Here the total amount is divided into two parts, the first group who is taken tea before bed and the second one is not.
Here the researchers observe the behavior of the people. So, these type of research fall under the observational study concept.
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30/4+5•3-9
help me please!! ;)
Answer:
30/4+5•3-9
= 7.5+15-9
= 22.5-9
= 13.5
Step-by-step explanation:
Which of the following refers to a set of procedures in which the sample size and sample statistics are used to make estimates of population values or facts?
A) sample logic
B) deductive statistics
C) statistical deduction
D) generalization
E) deductive logic
A set of procedures in which the sample size and sample statistics are used to make estimates of population values or facts is generalization. (Option D)
Statistical generalization refers to the inference of the results from a sample and applying it to a population. It involves statistically calculating the likely parameters of a population using data from a random sample of that population i.e., the sample must be selected randomly, and sample size must be large enough to be considered a representative of the population. Generalization is an essential component of the wider scientific process where researchers evaluate how well researchers consider their experimental results i.e., sample statistics from a sample can be extended to the population as a whole. Hence, generalization is used to make estimates of population values or facts.
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A dessert recipe calls for 2 cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?
5 servings = 2 cups of milk
1 serving = 2/5 cups of milk
do not worry about the fraction of milk for now!!
8 servings = 2/5 × 8 cups of milk
= 3.2 cups of milk
= 3 cups (rounded down)
I dont know how to get it. Anything helps
Answer:
25. y = 36
26. w = -4
Explanation:
25.
74 + 74 = 148
360 - 148 = 212
212 ÷ 2 = 106
106 = 2y + 34
106 - 34 = 2y
72 = 2y
72 ÷ 2 = (2y) ÷ 2
y = 36
26.
72 = 2w + 80
72 - 80 = 2w
-8 = 2w
-8 ÷ 2 = (2w) ÷ 2
w = -4
4. (1 point) a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees. in how many ways can this company buy them?. show all your work step by step to get credit. final answers must be provided in decimal form
Based on the information, we may conclude that there are 210 options to answer the given question.
Combination refers to choosing all or a portion of a group of objects, regardless of their order of selection.
Consider a group of three characters,
therefore the combination will be,
nCr = n! / r! ( n - r)!
The number of ways in which this business can purchase them are
35 X 6 =
210 ways
A combination in mathematics is a method of choosing items from a collection where the order of the choices is irrelevant. Consider a group of three numbers, P, Q, and R. The number of ways that we can choose two numbers from each group is thus determined by combination.
It is easy to count the number of combinations in smaller cases, but cases with more groups of elements or sets also have a higher likelihood of a set of combinations. As a result, a formula for calculating the number of items that could be chosen has been developed.
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Type A: f(x)= 10 + 8x Type B: g(x)= 17 + 7x Two types of generators each require a fixed amount of fuel to start. After starting, each generator produces a constant amount of energy per ounce of fuel used. The functions fand g above represent the amount of fuel, in ounces, that each type of generator requires to produce x units of energy when started once. 29 A type A generator was used to produce units of energy, and a type B generator was used to produce k units of energy. Each generator-was started once, and a combined total of 100 ounces of fuel was used. Which of the following equations represents the relationship between n and k? A) 8n+7k 100 B) 8m+7k-73 C) 8n+7k=127 8n 7k D) +7 100 100 30 A type A and a type B generator were started and operated until they ran out of fuel. The two generators combined used 216 ounces of fuel to produce 25 units of energy. How many more units of energy were produced by the type A generator than by the type B generator? A) 0.2 B) 3.0 C) 11.0 D) 12.6
Answer:
The relationship between n and k represent by 8n+7k=73 (option B) when 100 ounces of fuel are used in total
11 more units of energy were produced by the type A generator than by the type B generator
Step-by-step explanation:
Type A generate produces n units of energy so,f(n)=10+8n
Type B generate produces k units of energy so,g(k)=17+7k
f(x) and g(x) represent amounts of fuel used.
Total ounces of fuel used = 100
f(x)+g(x) = 100
f(n)+g(k)=100
10+8n+17+7k=100
8n+7k=100-10-17
8n+7k=73
The relationship between n and k represent by 8n+7k=73(option B)
Total ounces of fuel used = 216
f(x)+g(x) = 216
f(n)+g(k)=216
10+8n+17+7k=216
8n+7k=216-10-17
8n+7k=189
n+7n+7k=189
n+7(n+k)=189
Total energy produced = n + k = 25
n+7(n+k)=189
n=189-7(n+k)
n=189-(7 ✕ 25)
n=189-175
n=14 units
Total energy produced = n + k = 25
Substitute n = 14 in n + k = 25,we get
14+k =25
k=25-14=11
k=11 units
11 more units of energy were produced by the type A generator than by the type B generator
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Solve 19 - 4x = 2x + 1
Answer: The answer is 3
Step-by-step explanation: I’m smart.
x= 3.
Step-by-step explanation:1. Write the expression.[tex]19 - 4x = 2x + 1[/tex]
2. Subtract 19 from both sides of the equation.[tex]19 - 4x-19 = 2x + 1-19\\ \\-4x=2x-18[/tex]
3. Subtract 2 from both sides of the equation.[tex]-4x-2x=2x-18-2x\\ \\-6x=-18[/tex]
4. Divide both sides by "-6".[tex]\frac{-6x}{-6} =\frac{-18}{-6} \\ \\x=3[/tex]
5. Verify the answer by substituting the calculated value of m into the original equation and simplifying.[tex]19 - 4(3) = 2(3) + 1\\ \\19-12=6+1\\ \\7=7[/tex]
That's correct. Therefore, x= 3 is the correct answer!
If a, b, c, d are positive real numbers such that a, b, c, d form an increasing arithmetic sequence and a, b, d form a geometric sequence, then a/d is
a. 1/12
b. 1/6
c. ¼
d. 1/3
e. ½
A/d is equal to c/b if a, b, c, and d are positive real numbers that form an increasing arithmetic sequence and a, b, d, a geometric sequence.
Since a, b, c, d form an increasing arithmetic sequence, we can write them as
a = x,
b = x + d,
c = x + 2d
Also, since a, b, d form a geometric sequence, we have
a = bx, d = b2
Substituting the values in the equation for c and d, we get
c = x + 2b2
Now, dividing both sides by b, we get
a/d = c/b
=> a/d = (x + 2b2)/b
=> a/d = x/b + 2b
=> a/d = c/b
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Solve the equation 2y+5=y-7
Answer: -12
Step-by-step explanation:
The diagonals of an isosceles trapezoid are congruent. TRUE or FALSE
Answer: True.
Because the trapezoid is isosceles, the base angles are congruent by default.
Given isosceles trapezoid ABCD
Sides AB and DC are congruent
By the SAS postulate, triangles ABC and DCB are congruent
Therefore, segment AC is congruent to segment DB
Tell whether the table of values represents a linear, exponential, or quadratic function.
The rate of decrease of this function is constant so it is a linear function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
From the given table we can observe or conclude that the as x coordinate is increasing by 1 unit y coordinate is decreasing by 2 units.
So this is a linear function as the rate of increase or decrease is the same.
The points are (1, 1), (2, - 1), (3, - 3), (4, - 5), (5, - 7), and (6, - 9).
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If a number is added to the numerator of 1/7 and twice the number is subtracted from the denominator, the result is 4. Find the number.
Answer:
2
Step-by-step explanation:
Find the Slope:
A. 2
B. -2
C. 1/2
D. -1/2
Which of the following is coterminal to 500 degrees in radians?
5pi/6
8pi/9
2pi/3
7pi/9
Answer:
7pi/9
Step-by-step explanation:
subtract 360 from 500 as many times as you can
number left should be converted to radians
500 - 360 = 140
140 * (pi/180) =
140Pi/180 =
simplify by dividing by 20 top & bottom
7Pi/9
varsitytutors
Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.)
C = 2.5
x
+ 14,000, R = 6.23x
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of units to sell to break even is 3753.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
C = 2.5x + 14,000
R = 6.23x
Where,
C is the total cost.
R is the total revenue.
Now,
The number of x units a company must sell to break even.
2.5x + 14,000 = 6.23x
14000 = 6.23x - 2.5x
14000 = 3.73x
x = 14000 / 3.73
x = 3753
Thus,
The number of units to sell to break even is 3753.
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How do you know if a function is odd?
Therefore solution to this problem is the function is odd if f(-x) = -f (x).
What is function?In mathematics, a function from a set X to a set Y assigns each element of X precisely one element of Y. The domain and codomain of the function, respectively, are the sets X and Y.
Here,
We can know the function is even or odd by substituting the values in the function f(x) as f(-x)
Thus
If f(-x) = f, then f(x) is an even function (x). If the function is odd, then f(-x) = -f (x). Reflection symmetry around the y-axis exists for an even function. The rotational symmetry of an odd function is at the origin.
Therefore the function is odd if f(-x) = -f (x).
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6x−5(6x+39)=−75 solve for X
Solution of the equation 6x−5(6x+39)=−75 is x=5.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
We have the equation,
6x−5(6x+39) = −75.
In order to solve the equation for x:
We will find the value of x.
First, we solve parenthesis.
6x−5(6x+39) = −75
6x - 30x - 195 = -75
Taking constant terms to the right side of the equation,
6x - 30x = 195 - 75
-24x = 120
x = -120 / 24
x = -5
This is the required solution.
Therefore, The value of x is 5.
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Find the volume V of the described solid S.The base of a solid S is the triangular region with vertices (0, 0), (5, 0), and (0, 5). Cross-sections perpendicular to the y-axis are equilateral triangles.2) Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified liney = 336 − x2, y = 0, x = 1, x = 3, about the x-axis
Answer:
1000
Step-by-step explanation:
Samuel is buying a pair of boots with an original price of $80 ...
Based on the information , the store that gives the best deal is Store A .
Inn the question ,
it is given that ,
the original price for the shoes that Samuel is buying is = $80 .
the discount offered by Store A is = 25% ,
So , the effective price is = 80 - 0.25 of original price
Substituting the values ,
we get ,
= 80 - 20
= $60
the discount offered by Store B is = $10
So , the effective price is = 80 - 10 = $70 .
So , the price of shoe is less in store A in comparison to store B .
Therefore , the best deal is given by Store A .
The given question is incomplete , the complete question is
Samuel is buying a pair of boots with an original price of $80. Store A is offering a 25% discount off the original price of all boots. Store B is offering a $10 discount off the original price of all boots .
Based on this information, which store gave the best deal ?
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Find the area of this circle. Use 3.14 for π.
Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside. Which expression represents the difference between the two temperatures?
The expression represents the difference between the two temperatures is d = 9°C + 2°C
What is the difference between two numbers?The difference between two number a and b is d = a - b
How to find the difference between the two temperatures?Since Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside.
To find the expression that represents the difference between the two temperatures, we know that the difference is d = a - b where
a = initial outsde temperature and b = final inside temperatureGiven that
a = 9°C and b = -2°CSubstituting the values of the variables into the difference equation, we have that
d = a - b
d = 9°C - (-2°C)
d = 9°C + 2°C
So, the difference is d = 9°C + 2°C
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7. Segment A'B' is parallel to
segment AB. (Lesson 3-11)
a. What is the length of
segment A'B'?
2
B'
b. What is the length of C 3
segment B'B?
A'
B
6
12
A
a) The length of segment A'B' is given as follows: 4 units.
b) The length of segment B'B is given as follows: 4 units.
How to obtain the missing lenghts?The two similar triangles in this problem are given as follows:
ABC and A'B'C'.
Then side lengths of ABC are given as follows:
12, 9 and 2 + x.
The equivalent side lengths on triangle A'B'C' are given as follows:
y, 3 and 2.
When the triangles are similar, the side lengths are proportional, hence the following equation is built:
12/y = 9/3 = 2+x/2.
Then the length of segment A'B' is obtained as follows:
12/y = 9/3
12/y = 3
3y = 12
y = 12/3
y = 4.
The length of segment B'B is x, hence it is obtained as follows:
9/3 = 2+x/2.
2 + x = 6
x = 4 units.
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Chi-Square Goodness-of-Fit Test with G Test
A new casino game involves rolling 3 dice. The winnings are directly proportional to the total number of sixes rolled. Suppose a gambler plays the game 100 times, with the following observed counts:
Number of Sixes Number of Rolls 0 48
1 35
2 15
3 2
The casino becomes suspicious of the gambler and wishes to determine whether the dice are fair. What do they conclude?
The casino becomes suspicious of the gambler and wishes to determine whether the dice are fair and they conclude that the dice are not fair .
Given :
A new casino game involves rolling 3 dice. The winnings are directly proportional to the total number of sixes rolled. Suppose a gambler plays the game 100 times, with the following observed counts:
For the given scenario, we can write the hypotheses as:
[tex]H_0[/tex] : Dice are fair
[tex]H_1[/tex] : Dice are not fair
The expected value is 101 / 4 = 25.25
The test static is X^2 = Σ ( O - E )^2 / E
= 48.03
Degrees of freedom df = n - 1
= 4 - 1
= 3
P-value:
if we consider a 5% level of significance,
P-value = 0.00001
If the p-value is less than the level of significance, we reject the null hypothesis.
Here, 0.00001 < 0.05
Hence, we reject the null hypothesis.
So dice are not fair.
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Use a graph to show the relationship between the time and the distance traveled
Answer:
I don't know the answer of this questions
Please tell me ALL the partial products of 3.4 times 1.2
Answer:
34
× 12
---------
8
60
40
+ 300
----------
= 408
