Answer:
simple ( principal *rate*time)/100.
3500*4*10/100 = 1400 interest
account balance =3500+1400=4900
compound p(1+r)^t
3500(1+.04)^10 =3500* 1.480=5180
interest earned = 5180-3500= 1680
how much more interest. ; 1680-1400=280
Answer:
Step-by-step explanation:
Simple Interest:
Simple Interest formula is S.I. = P × r × t
Interest Eared: $3,500 × 0.04 × 10 = $1,400
Account Balance formula is A = P ( 1 + rt )
Account Balance: $3,500 + $1,400 = $4,900
Compound Interest:
Compound Interest formula: \(A =P(1+r)^{t}\)
Account balance: $5,180.85
Interest Earned: $5,180.85 - 3,500.00 = $1,680.85
The tempura really in minnesta was 8 f one day on the same day the temputare was 12 higher in indiana what was the temputare in india that day
The temperature in Indiana can be calculated as 8°F + 12°F = 20°F. On that day, the temperature in Indiana was 20°F.
The temperature in Minnesota was 8°F on a certain day. On that same day, the temperature in Indiana was 12°F higher. To find the temperature in Indiana, we add the temperature difference to the temperature in Minnesota. In this case, the temperature difference is 12°F.
Therefore, the temperature in Indiana can be calculated as 8°F + 12°F = 20°F.
On that day, the temperature in Indiana was 20°F.
It's important to note that this calculation assumes a linear relationship between the temperatures in Minnesota and Indiana. However, temperature variations can be influenced by various factors such as location, weather systems, and local climate patterns. Thus, while this calculation provides an estimate, actual temperature conditions may differ due to these factors. For accurate and up-to-date temperature information, it is recommended to refer to reliable weather sources or meteorological data.
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A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 95 months and a standard deviation of 6.8 month. When this computer-relay microchip malfunctions, the entire satellite is useless. A large London insurance company is going to insure the satellite for 60 million dollars. Assume that the only part of the satellite in question is the microchip. All other components will work indefinitely. If the satellite is insured for 97 months, what is the expected loss to the insurance company
Loss of $36942000 is the expected loss to the insurance company.
Here, we have,
This is a normal distribution question with
Mean (u)= 95
Standard Deviation (s)= 6.8
Since we know that
z_{ score } = {x-u}/{s}
Type of this part: 1
a) x = 97
P(x < 97.0)=?
z = {97.0-95.0}/{6.8}
z = 0.2941
This implies that
P(x < 97.0) = P(z < 0.2941) = 0.6157
so, we get,
x P(x) x.P(x) x²P(x)
-60000000 0.6157 -36942000 2216520000000000
0 0.3853 0 0
now, we have,
∑ x.P(x) = -36942000.0, ∑ x².P(x) = 2216520000000000.0
Since we know that,
Mean = 36942000.0
so, we get,
Loss of $36942000
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Rewrite the following equation in standard form.
y = -7x - 1
Standard form is written Ax + By = C where A, B, and C are all integers.
In other words, no fractions.
Also, the A or the coefficient of the x term must be positive.
The only thing we need to do is add 7x to both sides to get 7x + y = -1.
So 7x + y = -1 is our answer.
Answer: 7x+y=-1
Step-by-step explanation:
Add 7x to both sides
Find five rational numbers between -1/2 and 4/7
The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
According to the statement
we have to find that the rational numbers.
So, For this purpose, we know that the
Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
From the given information:
The given numbers are between -1/2 and 4/7
Then to find the numbers then
Rational numbers = (-1/2 +4/7) /2
Rational numbers = (-1 +2/7)
Rational numbers = -5/7.
And then the number becomes -6/7, 2/7,3/7.
Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
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Macy Chapman - Answers to lea
1 invest £4600 in a bank account
paying
2.1%
compound interest. How much do I have in the account
after 5 years?
Answer:
£5083
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2.1%/100 = 0.021 per year,
then, solving our equation
I = 4600 × 0.021 × 5 = 483
I = £ 483.00
The simple interest accumulated
on a principal of £ 4,600.00
at a rate of 2.1% per year
for 5 years is £ 483.00.
Tell me two(2) things you know about the pink line?
Answer:
it's pink in colour
it's a line
it is a linear line and it has a negative value as the line is decreasing from left to right.
Find the value of x that makes 25x^2 + 70x + c a perfect square trinomial
The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.
To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.
A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.
In this case, a = 25, so b = (1/2)(70) = 35.
Expanding (ax + b)^2, we have:
(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2
= 25x^2 + 70x + 1225.
Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.
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Which of the following analytic techniques covered so far in class is an essential part of the weighted ranking method?
A. Pairwise Ranking
B. Eight Elements of Thought
C.Ratio Method
Answer:
A. Ratio MethodRatio Method means that ICE Futures Europe will determine and disclose the adjustment ratio if known or the equation necessary to calculate the ratio. The adjustment ratio will be rounded, using normal mathematical rounding conventions, to five decimal places.
A) Pairwise ranking is an essential part of the weighted ranking method.
Pairwise ranking is one of the analytic techniques covered so far in class that is an essential part of the weighted ranking method.
Pairwise ranking, also known as pairwise comparison, is a process for comparing different options. Each option is compared to every other option to determine which one is better.
This is done by considering two options at a time and evaluating which one is preferred over the other, and then assigning a value to each option based on how many times it was chosen over the others.
The weighted ranking method, also known as the analytic hierarchy process (AHP), is a decision-making method that involves breaking down a complex problem into smaller, more manageable pieces, prioritizing them, and then making a decision based on the priorities.
Pairwise ranking is an essential part of this process because it helps to determine the relative importance of each option and thus how much weight should be given to each option in the final decision.
Hence, Pairwise Ranking is an essential part of the weighted ranking method.
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Hi! I need help with asymptotes and just how to put them on a table? Here’s the problem that I’m stuck on. May someone PLEASE help me as well as give an explanation on how you got the answer? PLEASE IM BEGGING.
Answer:
x. y
-1---2^-1=1/2
0---0
1----2
2----2*2=4
Step-by-step explanation:
x. y
-1---2^-1=1/2
0---0
1----2
2----2*2=4
Which of the following is equivalent to (3a + 5b) + 7c?
3a + (5b + 7c)
3a(5b + 7c)
7c(5b + 3a)
8ab + 7c
Answer:
3a + (5b + 7c)
Step-by-step explanation:
The answer cannot be 3a(5b +7c) because when the number is immediately before the brackets, it signifies multiplication. therefore the 3a(5b+7c) would be equivalent to 15ab+21ac
the answer cant be 7c(5b+3a) because of the same explanation as the one above, therefore 7c(5b+3a) would be equivalent to 35cb+21ca
the answer finally cant be 8ab+7c because it means that one added 3a and 5b giving you 8 but it cannot be ab because ab is equivalent to a×b, hence, one cant put a multiplied algebraic expression with an added number
The equation equivalent to the the expression (3a + 5b) + 7c is 3a + (5b+7c). Hence, the first option is the correct one.
What is an expression?In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.
For instance, the equation x + y has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.
The first option is correct because it does not affect the main equation rest are not the same as the equation.
For example, let's take the second equation :
3a (5b + 7C)
After solving this option we get 15ab + 21 ac so it is incorrect because it changed the main expression.
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Solve for y. y/m + y/n = p
y= (n+m)/mnp
y= mnp/(m+n)
y = mn/p
isnt it p/mn? but thats not an answer.
\( \boxed{ \rm \frac{y}{m} + \frac{y}{n} = p}\)
\( \\ \\ \)
To find:\( \\ \)
Value of y\( \\ \\ \)
Step by step expansion:\( \dashrightarrow \sf\dfrac{y}{m} + \dfrac{y}{n} = p\)
write the equation
\( \\ \\ \)
\( \dashrightarrow \sf \dfrac{\frac{y \times mn}{m} + \frac{y \times mn}{n}}{mn} = p\)
Add y/n with y/n and we will get Lcm as mn
\( \\ \\ \)
\( \dashrightarrow \sf \dfrac{\frac{y \times \cancel mn}{\cancel m} + \frac{y \times m\cancel n}{\cancel n}}{mn} = p\)
Cancel the similar terms
\( \\ \\ \)
\( \dashrightarrow \sf \dfrac{\frac{y \times n}{1} + \frac{y \times m}{1}}{mn} = p\)
\( \\ \\ \)
\( \dashrightarrow \sf \dfrac{yn + ym}{mn} = p\)
remove 1 as denominator
\( \\ \\ \)
\( \dashrightarrow \sf \dfrac{y(n + m)}{mn} = p\)
take y as common
\( \\ \\ \)
\( \dashrightarrow \sf \dfrac{(n + m)}{mn} = \dfrac{p}{y} \)
transfer y to other side as denominator of p
\( \\ \\ \)
\( \dashrightarrow \sf \dfrac{mn}{(n + m)} = \dfrac{y}{p} \)
reciprocal the whole equation
\( \\ \\ \)
\( \dashrightarrow \sf \dfrac{mnp}{(n + m)} = \dfrac{y}{1} \)
transfer p other side as numerator
\( \\ \\ \)
\( \dashrightarrow \boxed{ \bf y = \dfrac{mnp}{(n + m)} }\)
\( \\ \\ \)
\( \therefore \red {\underline {\textbf{\textsf{Option 2 i.e \{y= mnp/(m+n) \} is correct }}}}\)
The value of y from the given expression is y = mnp/n+m
Subject of formulaGiven the following expression
y/m + y/n = p
We are to make y the subject of the formula
yn+ym/mn = p
yn + ym = mnp
y(n+m) = mnp
Divide both sides by n+m
y(n+m)/nmp = mnp/n+m
y = mnp/n+m
Hence the value of y from the given expression is y = mnp/n+m
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√xanyone here can you help me to solve this
Answer: i think x
Step-by-step explanation:
x squared is x multiplied by x so doing the square root just gets rid of the square
for this lesson, you will come up with your own challenging algorithm for other students to trace. it must contain at least 4 if statements, 1 else statement and use at least one and or or boolean condition. note: elif statements will not count - your statements must be if statements. each if statement should use a unique variable name. for this challenge, try reading 3 or 4 of your classmates' code as well. trace their code and predict what it will output, then check the code by running it to see if you got it right, and submit your work for a grade.
By using Python, you will come up with your own challenging algorithm for other students to trace.
What are If else Statements ?If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.
The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.
These conditional statements are available in Python:
If you want a block of code to run only if a certain condition is true, use the if statement.
If the same expression is false, use instead that to provide a set of instructions that should be run.
If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.
To choose which of the several program code should be performed, use the switch.
How to write the code?
num = 100
if num < 20:
print('Less than 20')
if num < 30:
print('Less than 30')
if num < 40:
print('Less than 40')
if num < 50:
print('Less than 50')
if num > 100 or num == 100:
print('More than or equal to 100')
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1, Is this triangle a right triangle? Explain.
Triangle. Left side labeled 10. Bottom side labeled 25. Diagonal labeled 26.
2. Is this triangle a right triangle? Explain
3. Find the missing side of the above triangle. Show your work. If you use a shortcut,
explain your reasoning
Answer:
Yes
Step-by-step explanation:
It has the square in the corner meaning it is a right triangle, it only needs one right angle to be a right triangle. So you can say that is a shortcut.
A sales person makes $200 each week plus an
additional $24 per sale. This sales person wants their
weekly paycheck to be at least $500.
7. Which inequality could be used to solve for how many sales (s) the salesperson will have to make to reach or exceed their goal?
24s + 200≥ 500
24s + 200 > 500
24s + 200 ≤ 500
245 + 200 < 500
Answer:
24s+ 200 ≥ 500
Step-by-step explanation:
Let s be the number of sales
200 + 24s is the amount that they will make
They want to make at least 500 so the amount they make must be greater than or equal to 500
200 + 24s≥ 500
Changing the order on the left side
24s+ 200 ≥ 500
Help with math please.I need proof of how you got the answer
Create a list of 6 one digit whole numbers with an average of 5, a median of 6, a range of 9, and no mode.
A list of 6 one digit whole numbers with an average of 5, a median of 6, a range of 9, and no mode is
0, 1, 5, 7, 8, and 9How to create the listsince the numbers will have no mode so they are all different
Assuming the numbers are: a, b. c. d. e. and f
The average is 5
(a + b + c + d + e + f ) / 6 = 5
a + b + c + d + e + f = 30
The median is 6
(c + d)/2 = 6
c + d = 12 (assume c = 5 and d = 7)
range is 9
f - a = 9, since it is a one digit number a range of 9 is possible for 9 - 0
hence a = 0 and f = 9
substituting assumed values to the average
0 + b + 5 + 7 + e + 9 = 30
b + e + 21 = 30
b + e = 9 (let b = 8and e = 1)
hence the numbers are
0, 1, 5, 7, 8, and 9
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if all possible results are equally likely, what is the probability that a spin will land on an upper case letter or a consonant?
If all possible results are equally likely, the probability of a spin landing on an uppercase letter or a consonant can be calculated by determining the ratio of the favorable outcomes to the total number of possible outcomes.
Let's consider a spin with 26 equally likely outcomes representing the 26 letters of the English alphabet. Out of these 26 outcomes, there are 21 uppercase letters (A, B, C, ..., X, Y, Z) and 21 consonants (B, C, D, ..., X, Y, Z) in the English alphabet. However, we need to be cautious about double-counting the letters that are both uppercase and consonants (B, C, D, ..., X, Y, Z). Therefore, we need to subtract the number of double-counted letters, which is 21, from the sum of uppercase letters and consonants, which is 42.
Hence, the number of favorable outcomes is 42 - 21 = 21. Since all outcomes are equally likely, the total number of possible outcomes is 26. Therefore, the probability of a spin landing on an uppercase letter or a consonant is 21/26, which can be simplified to approximately 0.8077 or 80.77%.
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Help with question below
The triangle ∆MNO is similar to the triangle ∆M'N'O' hence, N'O' is equal to 4.5 inches and M'O' is equal to 6 inches
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
We solve for N'O' and M'O' with the proportion equation as follows:
NO/N'O' = MN/M'N'
3in/N'O' = 2/3
N'O' = (3 × 3in)2 {cross multiplication}
N'O' = 4.5 in
MO/M'O' = MN/M'N'
4in/M'O' = 2/3
M'O' = (3 × 4in)2 {cross multiplication}
M'O' = 6 in
Therefore, the similar triangles ∆MNO and ∆M'N'O' have the value of N'O' equal to 4.5 inches and M'O' is equal to 6 inches
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3x²+4x+1=0
using completing the square method
Answer:
\(x= \frac{-1}{3}\) or \(x= -1\)
Step-by-step explanation:
Step 1: Subtract 1 from both sides. 3x2+4x+1−1=0−1 3x2+4x=−1
Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3. 3x2+4x 3 = −1/3 x2+ 4/3 x= −1/3
Step 3: The coefficient of 4/3x is 4/3. Let b=4/3. Then we need to add (b/2)^2=4/9 to both sides to complete the square.
Add 4/9 to both sides. x^2+ 4/3 x+ 4/9 = −1/3 + 4/9 x^2+ 4/3 x+ 4/9 = 1/9
Step 4: Factor left side. (x+ 2/3 )^2= 1/9
Step 5: Take square root. x+ 2/3 =±√ 1/9 Step 6: Add (-2)/3 to both sides. x+ 2/3 + −2/3 = −2/3 ±√ 1/9 x= −2/3 ±√ 1/9 x= −1/3 or x=−1
Decide whether each claim is based on science or bias.
Claim
Basis of claim
People bred domestic cats from wildcats. They selected cats with desired traits as the parents for each generation. Evidence shows that humans developed many domestic animals and plants in much the same way.
Select ...
Select ...
An ad for a new type of tire describes it as "the best tire ever made." The ad shows pictures of the tire and compares it with an older type of tire. Under the pictures is a caption that states, "Look how much wider our new tire is."
The situations are classified as follows:
Cats... evidence ... : science.Tyre: bias.What is science in a claim?A claim is classified as science if there are experiments, or statistical tests, that prove the claim. In the cats experiment, there is evidence, hence it is science.
What is bias in a claim?A claim is classified as biased when no experiments are made, the observations are made with the "eye test". One example is watching a NFL game and saying that the team that gets the most passing yards generally wins, without making statistical tests to verify this.
For this problem, the ad for the tire is based on bias, as there were no experiments, just the eye test.
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What is the opposite of –(–24)
And, what is the opposite of +(+15)
Answer:
Step-by-step explanation:
hello :
the opposite of +(+15) is : +(-15)
the opposite of -(-24) is : +(-24)
In a volcano, erupting lava flows continuously through a tube system about 14 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hour and calculate how long it takes to reach the sea. t takes hours to reach the sea. (Type an integer or a decimal.)
It would take approximately 28 hours for the lava to reach the sea. This is calculated by dividing the distance of 14 kilometers by the speed of 0.5 kilometers per hour, which gives a total time of 28 hours.
However, it's important to note that the actual time it takes for lava to reach the sea can vary depending on a number of factors, such as the viscosity of the lava and the topography of the area it is flowing through. Additionally, it's worth remembering that volcanic eruptions can be incredibly unpredictable and dangerous, and it's important to follow all warnings and evacuation orders issued by authorities in the event of an eruption.
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z=x+ab solve for b , what is the answer
Step-by-step explanation:
z = x + ab
x + ab = z
ab = z - x
b = (z - x)/a
f(x) = -x + 5
g(x) = x2 – x +4
Find: (f•g)(x)
Answer:
\((fog)(x) = - {x}^{2} + x + 9\)
Step-by-step explanation:
\((fog)(x) = f(g(x)) \\ = - ( {x}^{2} - x - 4) + 5 \\ = - {x}^{2} + x + 4 + 5 \\ = - {x}^{2} + x + 9\)
I hope I helped you^_^
an experiment has only two outcomes. the first has probability p to occur, the second probability p2. what is p?
Solution:
Probability of the second outcome occurring is 1-p
Explanation:
In an experiment with only two outcomes, the probabilities of both outcomes must add up to 1.
This means that if the first outcome has a probability of p, the second outcome must have a probability of 1-p.
Therefore, the equation for this situation would be: p + (1-p) = 1Solving for p, we get: p = 1 - (1-p) = 1 - 1 + p = p.
Therefore, the probability of the first outcome occurring is simply p, as given in the question.
The probability of the second outcome occurring is 1-p.
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The probability of the first outcome, p, is equal to the total probability of all outcomes, minus the probability of the second outcome, p2. So, p = 1 - p2.
In an experiment with only two outcomes, the sum of the probabilities of the two outcomes must equal 1. This means that if the first outcome has a probability of p, the second outcome must have a probability of 1-p.
Therefore, the probability of the first outcome, p, can be found by subtracting the probability of the second outcome, p2, from 1:
p = 1 - p2
So, if you know the probability of the second outcome, you can find the probability of the first outcome by subtracting it from 1.
For example, if the probability of the second outcome is 0.3, the probability of the first outcome would be:
p = 1 - 0.3 = 0.7
So the probability of the first outcome is 0.7.
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Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
The perimeter of a rectangle is 320 feet. Find the length and width if the length is an odd integer and the width is 5 times the next consecutive odd integer.
The length is 25 feet and the width is 135 feet
What are consecutive odd integers?
Consecutive odd integers differ by 2. If x is an odd integer, then x + 2, x + 4 and x + 6 are consecutive odd integers.
How to find the perimeter of the rectangle?
⇒Perimeter of rectangle = 2(l+w)
The perimeter of a rectangle is 320 feet
let the length of a rectangle is x
The next consecutive odd integer is x+2
width = 5(x+2)
=5x+10
2(length + width) = 320
l+w=160
x+5x+10=160
6x=150
x=25
length = 25 feet
width = 5(25+2)=135 feet
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what is 6x10 to the negative third power
60 to the negative 3 power
Answer:
-60
Step-by-step explanation:
Constance is saving money to buy a new bicycle that costs $205.75. She already has $80 saved and plans to save $8 each week. How many weeks will it take her to save enough money to purchase the bicycle?
Answer:
16 weeks
Step-by-step explanation:
$80 + $8 a week \(\geq\) $205.75
80 + 8x \(\geq\) 205.75
8x \(\geq\) 125.75
x \(\geq\) 15.71875
16 weeks