Answer:
8%
Step-by-step explanation:
1. Subtract the larger number from the smaller:
3780 - 3500 = 280
2. Divide the result from step 1 by the FIRST salary amount:
280 ÷ 3500 = 0.08 NOTE: Order Matters!!!
3. Change the decimal to a percent
how many batches of raisin granola bars can inez make if she has 8/3 cups of raisings and each batch requires 2/3 cup of raisins? \frac{1}{4}\enspace batch
If Inez has 8/3 cup of raisings and each batch takes 2/3 cup of raisins, she may create 4 batches of raisin granola bars.
What is fraction?In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator. A common fraction is a numeric representation of a rational integer. The same number can be expressed as a decimal, a percentage, or with a negative exponent. Fractions indicate pieces of a whole or group of items. A fraction is made up of two components. The number at the top of the line is referred to as the numerator. It specifies the number of equal sections of the whole or collection that are taken. The figure below the line is denominator.
Here,
8/3÷2/3=4
2/3 • 4 = 8/3
2/3 + 2/3 + 2/3 + 2/3 = 8/3
2/3 = 0.67
0.67 • 4 = 2.67
8/3 = 2.67
4 batches of raisin granola bars can inez make if she has 8/3 cups of raisings and each batch requires 2/3 cup of raisins.
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Swimming Pool On a certain hot summer's day, 527 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1059.50.
How many children and how many adults swam at the public pool that day?
Answer: children = 258, adults = 269
Step-by-step explanation:
let x = number of children
let y = number of adults
x + y = 527
solve for x in terms of y:
x = 527 - y
$1.5x + $2.5y = $1059.50
substitute in x = 527 - y
1.5(527 - y) + 2.5y = 1059.50
Now you can solve for y:
790.50 - 1.5y + 2.5y = 1059.50
y = 1059.50 - 790.5 = 269
Now solve for x:
x + 269 = 527
x = 527 - 269 = 258
At the market, 5 light bulbs cost $9 dollar sign, 9.
How much do 7 light bulbs cost?
Answer: $12.60
Step-by-step explanation:
Take 9 divided by 5 = $1.80 per light bulb
Then take 1.80 times 7 = $12.60
a research claims that 30% of people, who purchase items on the web of a specific store, return it. if we pick 5 people who purchase via the web, what is the probability that less than 2 will return their purchase? assume the binomial situation. p(x<2)
The probability that less than 2 people will return the purchased items on the web be, 0.52822
Given, a research claims that 30% of people, who purchase items on the web of a specific store, return it.
Now, if we pick 5 people who purchase via the web,
then we have to find the probability that less than 2 will return their purchase
we have to find, P(X < 2)
Now, n = 5
p = 0.3
q = 0.7
P(X < 2) = P(X = 0) + P(X = 1)
P(X < 2) = C(5 , 0)(0.3)^0(0.7)^5 + C(5 , 1)(0.3)^1(0.7)^4
P(X < 2) = (0.16807) + (0.2401)(0.3)(5)
P(X < 2) = 0.16807 + 0.6015
P(X < 2) = 0.52822
So, the probability that less than 2 will return be, 0.52822
Hence, the probability that less than 2 will return be, 0.52822
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One brand of canned salmon is sold in four different sizes. Size A The 7! 5 ounce can costs $3.49. Ste B The 16, ounce can costs $6 49. Stec The 24, ounce can costs $8.49. _2 Size D The 30 5 ounce can costs $10.99. Part A What is the unit rate for each size to the nearest hundredth of a dollar? Size Unit rate A 10 B C
The unit rate for each size to the nearest hundredth of a dollar is Size A = $0.484, Size B = $0.393, Size C = $0.343 and Size D =$0.359.
What is unit rate?
Unit rate is a rate in which the second term of a ratio is one. Unit rate is a way to compare different quantities in which the second term is a constant of one. Unit rate is determined by dividing one quantity by another, with the second quantity always being one. Unit rate can be used to compare different items, such as prices when shopping, or to measure the speed of an object over a given period of time. Unit rate is often expressed as a whole number or a fraction.
Unit rate for Size A = $0.48, Size B = $0.39, Size C = $0.34 and
Size D =$0.36.
Given:
Size A The 7 1/5 ounce can cost $3.49.
Size B The 16 1/2 ounce can cost $6.49.
Size C The 24 3/4 ounce can cost $8.49.
Size D The 30 2/3 ounce can cost $10.99.
To find the unit rate for each, we take the total price and divide by the total ounce,
Size A = [tex]\frac{3.49}{\frac{36}{5} } =0.484[/tex]
Size B = [tex]\frac{6.49}{\frac{33}{2} } =0.393[/tex]
Size C = [tex]\frac{8.49}{\frac{99}{4} } = 0.343[/tex]
Size D = [tex]\frac{10.99}{\frac{92}{3} } = 0.359[/tex]
Hence, the unit rate for each size to the nearest hundredth of a dollar
is Size A = $0.484, Size B = $0.393, Size C = $0.343 and
Size D =$0.359.
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The cost of 7 sandwiches and 5 milkshakes is $79. The cost of 2 sandwiches and 5 milkshakes is $44. How much does one sandwich cost and one milkshake cost?
Cost of one sandwich is $7 and cost of milkshake $5.
What is an equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
According to question:
let cost of one sandwich be x and cost of milkshake be y .
7x + 5y = $79 -------(1)
2x + 5y = $44 -------(2)
subtracting equation 2 from 1 , we get
5x = 35
x = $7
so cost of one sandwich is $7.
now substituting value of x in equation 1 , we get
7(7) + 5y = 79
49 +5y = 79
5 y = 20
y = 4
so cost of one milkshake is $5.
Hence cost of one sandwich is $7 and cost of milkshake $5.
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How do I do this, I don’t get it
Answer:
[tex]y=1(x-10)^2-20[/tex]
How do you write the log notation for 3^x = 64?
The log notation for 3ˣ = 64 is ㏒₃64 = x as the logarithm is the inverse of exponentiation.
What is log notation?The mathematical expression that is used to represent any exponential relationship in the inverse form is termed as log notation.
Why is log notation used?We use log notation to determine any unknown values from an exponential equation.
the log notation for above equation is written as
3ˣ = 64
㏒₃64 = x
now we can determine the value of x
hence, the log notation is x= ㏒₃64
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does there exist a polynomial time reduction from every problem in np-complete to every other problem in np-complete?
Yes, by definition, every NP problem can be reduced to an NP-complete problem in polynomial time.
All NP-complete problems can be reduced to each other in polynomial time since an NP-complete problem is itself an NP problem.
An NP-complete problem lies in NP, the set of all decision problems whose solutions can be verified in polynomial time. Similarly, NP can be defined as a set of decision problems that can be solved in polynomial time by a non-deterministic Turing machine. A problem p in NP is NP-complete if every other problem in NP can be transformed (or reduced) to p in polynomial time.
Not sure if all NP issues can be resolved quickly. This is called the P-NP problem. However, if every NP-complete problem can be solved quickly, the definition of an NP-complete problem states that every problem in NP must be rapidly reducible to every NP-complete problem (i.e., it can be solved in polynomial time abbreviated by ). For this reason, NP-complete problems in general are often said to be harder or harder than NP problems.
A decision problem C is NP-complete if:
1. C is in NP and every problem in NP is reducible to C in polynomial time.
2. We can show that C is in NP by showing that the candidate solutions for C can be verified in polynomial time.
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1) Is the triangle right angled?
8cm
16cm
18cm
Answer: No the triangle with sides 8cm 16 cm 18cm can't be a right angle triangle because of the Pythagoras theorem which states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
Step-by-step explanation:
Hope this was helpful
Answer:
no it is not a right angled triangle the Pythagoras theorem
which problem(s) can be solved by performing this multiplication? 34 x 24
Answer:
The day before, Mike had 34 apples. Today, he had 24 times as much as the apples that he had the day before. How many apples did he have today?
Step-by-step explanation:
1st, gather information: The day before, Mike had 34 apples, Today, he had 24 times as much as the apples that he had the day before
2nd, plan to solve: I will do 34 x 24.
3rd, Solve: 34 x 24= 816.
4th, is it resonable? : Yes. 816/34=24.
SHOW WORK FOR BRAINLIST AND HEARTS
The graph of Stewart's assignment added as an attachment
How to draw the graph of the scenario?From the question, we have the following parameters that can be used in our computation:
Number of assignments = 36Rate of assignment per day = 4This means that the equation of the scenario is
Number of assignments remaining = Initial number of assignments - Rate of assignment per day * Number of days
Represent the number of assignments remaining with y and the number of days with x
So, we have the following representation
y = Initial number of assignments - Rate of assignment per day * x
Substitute the known values in the above equation, so, we have the following representation
y = 36 - 4 * x
Evaluate the products
y = 36 - 4x
So, the equation is y = 36 - 4x and the graph is added as an attachment
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six republican and four democrats have applied for three open position on a planning committen. since all the applicants are qualified to serve
The probability that Republicans and Democrats come from the same party is 7/15.
Explain the term hypergeometric distribution?So the hypergeometric distribution is used when selecting elements from two sets to create a new set of n items.For the stated question-
For our two open posts, 6 Republicans plus 4 Democrats have applied. Let's use the letters R for a Republican and D for a Democrat. DD, DR, RR, which stands for both republicans and democrats, or one of each, are the three options for selecting two individuals from the two sets. The likelihood of both coming from the same party is given to us as the following:P = P(DD) + P(RR)
Let's determine P. (DD). There are 4 members accessible, and that can be done in 4C2 different ways for both Democrats.We follow a similar process to get 6C2 various ways for P(RR).There are a total of four ways to choose both from same party:
4C2 + 6C2 = 4 + 15
= 21
There are various methods for selecting a candidate from the entire pool, so
P = 21/ 10C2
P = 21/45
P = 7/15
Thus, the probability that Republicans and Democrats come from the same party is 7/15.
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The complete question is-
Six Republicans and four Democrats have applied for two open positions on a planning committee. Since all the applicants are qualified to serve, the City Council decides to pick the two new members randomly. What is the probability that both come from the same party?
How are the two equation representations equivalent?
The Michelle equation and Myra equation both are the same thus both are equivalent.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given Michelle equation,
G(t) = 15(t - 3)
Here 15 represents the selling price of one t-shirt while t is the number of t-shirts
As per the given Myra equation,
G(t) = 15t 45
Here, 45 is the cost of the t-shirts that Mayra has given and 15 is still the cost of one t-shirt
G(t) = 15(t - 3) = Michelle equation
Hence "The Michelle equation and Myra equation both are the same thus both are equivalent".
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the greatest common factor of 24 56 and 96
Answer:
The answer is 8 because 8x3=24, 8x7=56, and 8x12=96.
Answer: 8
Step-by-step explanation:
Use the drawing tool(s) to form the correct answer on the provided graph.
A dilation by a scale factor of 2 centered at (2,-1) is performed on the triangle shown.
Draw the resulting triangle.
Drawing Tools
Select
Point
Line Segment
Click on a tool to begin drawing.
<+++
-10 -9 -8-7 -6 -5
-4
-2
10
9-
8-
7+
6
5-
4-
3-
2-
1
Delete
3
5
Undo
6
7
00
8
Reset
9 10 no
The resulting dilated triangle is as attached and it has the coordinates; (2, 4), (4, -2) and (-6, -2).
How to interpret Dilation Scale Factor?When a triangle is dilated, it means that each vertex of the figure has it's coordinates multiplied by the scale factor of the dilation. Now, due to the fact that multiplication operation is involved, it means that the original triangle and the dilated triangle are not congruent, as their side lengths are different.
The vertices of the triangle are given as follows:
(1, 2), (2, -1) and (-3, -1).
The dilation has a scale factor of 2, meaning that each coordinate of the vertices will be multiplied by 2 and as such, the coordinates of the dilated triangle are given as follows:
(2, 4), (4, -2) and (-6, -2).
The new triangle is as attached
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Convert 79 pounds to kilograms. (1 pound = 0.454 kilogram)
17.4 kilograms
35.866 kilograms
174 kilograms
358.66 kilograms
Option B is correct answer, 79 pounds is equal to 35.866 kilograms.
What is unit conversion?
A unit conversion is used to express the same property in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometers, or any other measurement can be used to measure distance in place of miles. Measurements are typically provided in one system of measurement, such as feet, but are necessary in a different system, such as chains. A mathematical formula known as a conversion factor enables an equivalent exchange of feet for chains.
As it is given in the question,
1 Pound = 0.454 Kilograms,
So, In order to convert 79 pounds into kilograms we have to multiply 0.454 by 79.
79 pounds = 79(0.454) kilograms
79 pounds = 35.866 kilograms
Therefore, option B is correct answer.
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Answer: 79 pounds = 35.866 kilograms. Option B is correct!
The Expert was correct. Can I get brainliest because it's right?
What is 185/100 + 50% + 4%
-------------------------------------------------------------------------------------------------------------
Answer: 2.39
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{185/100 + 50\% + 4\%}[/tex]
Find: [tex]\textsf{Convert to simplified decimal}[/tex]
Solution: In order combine the numbers together we must first convert all of them to a fraction. The first number is already in fraction form, but the other ones are in a percent form. What a percent value means is just a number out of 100 which we can use to change 50% to 50/100 and 4% to 4/100.
Now we have 185/100 + 50/100 + 4/100 which we can combine together to 239/100 to which we can use a calculator and figure out that the answer in decimal form would be 2.39
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{185}{100} + 50\% + 4\%}\\\\\mathsf{= \dfrac{185}{100} + \dfrac{50}{100} + \dfrac{4}{100}}\\\\\mathsf{= \dfrac{185\div 5}{100\div 5} + \dfrac{50\div50}{100\div50} + \dfrac{4\div4}{100\div4}}\\\\\mathsf{= \dfrac{37}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= 1\dfrac{17}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= \dfrac{47}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2 \dfrac{7}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2\dfrac{39}{100}}\\\\\mathsf{= \dfrac{239}{100}}\\\\\mathsf{\approx 2.39}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{239}{100}\ or\ 2.39}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
What is the relationship between DE and AC? There are two properties to state, be sure to state both.
The relationship between DE and AC of the similar triangles is;
DE = ¹/₂AC
How to Interpret Similar triangles?Similar triangles are defined as triangles that have the same shape, but then their sizes may very well defer. This means that all equilateral triangles, squares of any side lengths are some types of similar objects.
Now, if two triangles are said to be similar, then it means that their corresponding angles are congruent and also their corresponding sides would be in equal proportion
From the given image, we can deduce that;
BD = AD (Given)
BE = CE = ¹/₂BC
Thus, from the concept of similar triangles, we can say that;
DE = ¹/₂AC
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A company orders 10 boxed lunches from a deli for $116.50. If each boxed lunch costs the same amount, how much do 13 boxed lunches cost?
Answer:
$151.45
Step-by-step explanation:
$116.50 divided by 10 is $11.65 which is the cost of just one box lunch. So 11.65 times 13 is 151.45. So the answer is $151.45.
Answer:
15145
Step-by step explanation:ok so I multuply 116.50x13 i got my ansanswers thene i mumultiple that by 10 and the aswer is
15,145 tyyyyyyy
please help me and explain pls
Answer:
B $3.00
Step-by-step explanation:
We need to estimate a little. We are trying to find the slope. We need two points. The one point that is clear is (4,15) I would estimate the other points to be (0,3) The slope is the change in y over the change in x
the y values from the two points are 15 and 3. The x values are 4 and 0
[tex]\frac{15-3}{4-0}[/tex] = [tex]\frac{12}{4}[/tex] = 3
(06.01 lc) a car traveling in a straight line from its starting position at a speed of 65 miles per hour for 3 hours is represented by the function v(t), where t is the number of hours traveled. what units describe the area under the curve of v(t)?
The required area under the curve of function v(t) is 195 square miles, which depicts the total distance traveled by car during the 3 hours.
The area under the curve of the function v(t) represents the total distance traveled by the car over the given time period.
The function v(t) is defined as the speed of the car (in miles per hour) at any given time t (in hours). Since the speed is constant at 65 miles per hour, the graph of v(t) will be a straight horizontal line at y = 65.
To find the distance traveled, we need to multiply the speed (in miles per hour) by the time (in hours):
Distance = Speed * Time
Following the given case, the speed is 65 miles per hour, and the car traveled for 3 hours:
Distance = 65 miles/hour * 3 hours = 195 miles
So, the area under the curve of v(t) is 195 square miles, which represents the total distance traveled by car during the 3 hours.
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given the following practical problem, whats the y-intercept of the linear function?
homer walked to school every day. he walked at a pace of 4 miles per hour.
The y-intercept of the linear function is 0.
What is linear function?
A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions. The function notation is the only distinction. It is also important to understand an ordered pair expressed in function notation. When an is an independent variable on which the function depends, the expression f(a) is referred to as a function. A straight line on a graph of a linear function has the equation or formula;
y = f(x) = mx + c
The formula of distance(y), time(x), and speed is
S = y/x.
Given that he walked at a pace of 4 miles per hour.
S = 4 miles per hour.
4 = y/x
y = 4x
Compare y = 4x with y = mx + c
c = 0
Thus y intercepts is 0.
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find equations of both lines through the point (2, −3) that are tangent to the parabola y = x2 + x
The equations of the tangents that pass through (2,−3) are y=−x−1 and y= 11x−25.
What is an equation?
In arithmetic,an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main BODY:
The gradient of the tangent to a curve at any particular point is given by the derivative of the curve at that point. So for our curve (the parabola) we have
y=x²+x
Differentiating wrt x we get:
dy / dx = 2x +1
Let P(α,β) be any generic point on the curve. Then the gradient of the tangent at P is given by:
m=2α+1 (using the derivative)
And as P lies on the curve we also have:
β=α²+α (using the curve equation)
And so the tangent at P passes through (α,α²+α) and has gradient 2α+1, so using the point/slope form y−y₁=m(x−x₁) the equation of the tangent at P is;
y−(α²+α)=(2α+1)(x−α)
if this tangent also passes through
(2,−3) then;
⇒-3−(α²+α)=(2α+1)(2−α)
⇒-3 −α²- α = 3α−2α²+2
⇒α²−4α−5=0
∴α=−1,5
If α=−1⇒β=0
, and the tangent equation becomes:
y−0=(−1)(x+1)
∴ y=−x−1
If α=5⇒β=30
, and the tangent equation becomes:
y−30=(11)(x−5
∴y−30=11x−55
∴y=11x−25
Hence the equations of the tangents that pass through (2,−3) are y=−x−1 and y= 11x−25.
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A company has a monthly time series that regularly shows sales being higher in the summer months. This is an example of which component? O A. Random O B. Seasonal O C. Trend O D. Cyclical Click to select your answer O Type here to search
A company has a monthly time series that regularly shows sales being higher in the summer months, this is an example of Seasonal Component
A seasonal variation is a calendar-related and systematic effect. One example is an increase in water consumption during the summer due to warmer weather.
Other seasonal effects include trading day effects (the number of working or trading days in a given month varies from year to year, affecting the level of activity in that month) and moving holiday effects (the timing of holidays such as Easter varies, so the effects of the holiday will be experienced in different periods each year).
In the given question,
A company has a monthly time series that regularly shows sales being higher in the summer months,
This is an example of Seasonal variation in times series
As the Sales increases in every summer seasons
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Find an explicit rule for the nth term of the arithmetic sequence. -20, -14, -8, -2, ... A. an = -20 + 6(n+2) B. an = -20 + 6(n-1) C. an = -20 Ã 6(n-1) D. an = -20 + 6(n+1)
the explicit rule of the nth term of the arithmetic
sequence is A. aₙ = 6n-8
B. aₙ = 6n-26
C. aₙ= 6n-26
D. aₙ =6n-14
What is arithmetic sequence?the sequence of numbers having constant differences between two successive numbers.
why explicit formula for arithmetic sequence is used?the explicit formula is used for determining any term of an arithmetic sequences directly in where only the first term and differences between two consecutive terms are needed to know.
Given, -20,-14,-8,-2,...are the terms. an explicit rule for the nth term of the arithmetic sequence is given by the formula, aₙ=a₁+(n-1) d
where, a₁ is the first term, aₙ is the nth term, d is the difference between two terms, n is the number of terms.
as per question a₁= -20, d= 6
now A. aₙ = -20+6(n+2)
aₙ = 6n-8
B. aₙ= -20+6(n-1)
aₙ = 6n-26
C. aₙ =-20+6(n-1)
aₙ = 6n-26
D. aₙ= -20+6(n+1)
aₙ = 6n-14
the above are the explicit rules for the arithmetic sequence.
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What is the sum of all digits in the sequence 1,2,3,4... 98,99,100? (For example, the sum of digits in 34 and 35 is 3+4+3+5=15)
Answer:
Step-by-step explanation:
To find the sum of all the digits in the sequence 1, 2, 3, ..., 98, 99, 100, we can use a bit of arithmetic.
First, let's find the sum of the digits in the first 99 numbers of the sequence. Each number in the sequence has two digits, so the sum of the digits in the first 99 numbers is 99 * 18 = 1872.
Next, we need to add in the digits in the number 100. The sum of the digits in 100 is 1 + 0 + 0 = 1.
Therefore, the sum of all the digits in the sequence 1, 2, 3, ..., 98, 99, 100 is 1872 + 1 = 1873.
How do you simplify 1/2−(1/8+1/8) ?
Answer:
1/4 or 0.25
Step-by-step explanation:
1/2 - (1/8 + 1/8)
= 1/2 + 2/8
= 4/8 - 2/8 (LCM)
= 2/8
= 1/4
= 0.25
______________
Hope it helps!!
Answer:
Step-by-step explanation:
1/4
Explanation:
First, add the terms within parenthesis:
1
2
−
(
1
8
+
1
8
)
⇒
1
2
−
2
8
Next, reduce the second term:
1
2
−
(
(
2
2
)
⋅
(
1
4
)
)
⇒
1
2
−
(
1
⋅
(
1
4
)
)
⇒
1
2
−
1
4
To get these two terms over a common denominator (in this case
4
) we need to multiple the first term by
(
2
2
)
:
1
2
−
1
4
⇒
(
(
2
2
)
⋅
(
1
2
)
)
−
1
4
=
2
4
−
1
4
Now we can subtract the terms to obtain the final answer:
2
4
−
1
4
⇒
2
−
1
4
⇒
1
4
in the regression line y = a+ bx + e, a is the slope of the regression line.
In the regression line y = a+ bx+ e, a is the slope of the regression line.
The above statement is False.
The correct Statement is :
The linear regression line has an equation of the form Y =a + bX
where, Y is called the dependent variable or response.
X means independent or predictor or explanatory variable.
a is the y-intercept and b is the slope of the line.
Regression Line:
A regression line is a statistical tool that shows the correlation between two variables. Specifically, it is used when the variation of one (the dependent variable) depends on changes in the value of the other (the independent variable).
Simple linear regression has two cases:
The equation is Y on X, and the value of Y changes as the value of X changes. The formula is X over Y, and the change in X varies with the deviation of the Y variable.The formula for the least squares regression line (LSRL) from Y to X is:
Y=a + bX + ɛ
where,
Y is the dependent variable.
a is the Y intersection.
b is the slope of the regression line.
X is the independent variable.
ɛ is the residual (error).
and
b = (N∑XY-(∑X)(∑Y) / (N∑X2– (∑X)2) ;
and
a = (∑Y – b ∑X) / N
where, N is the total number of observations.
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suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually? how much money will be in that account at the end of 4 years?
The money in the account at the end of the 4 years is $1034
What is compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Now we are given that the initial amount deposited in the account is $1000
This account is giving 0.85% And we have to figure out how much amount will be there
We use compound interest formula to find the amount
[tex]A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034[/tex]
Hence the amount will be after 4 years is $1034.
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