The value of the account at the end of three years of the growth factor z will be $1350.684.
According to the growth factor z, the value of the account after three years is,
Given r, is the yearly interest rate that is compounded by a growth factor z= 1 +r. $500 at the end of each year.
The initial year's deposit is in the amount of $500.
Both the next year and the third-year deposits are made correspondingly, $200 and $600.
As a result, the account will be worth at the end of the three years is:
$(500 x3 + 200 x2 + 600 x) ---(1)
If r= 2%, then x=(1 + 2/100), , substituting the value of x in (1)
The sum will then be:
$(500(1 + 2/100)3 + 200 (1 + 2/100)2 + 600(1+2/100))
Solving the above equation, the amount will be equal to $1350.684.
Hence, The value of the account at the end of three years of the growth factor z will be $1350.684.
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1530 divided by 30? I will give you a Brainliest!
51
1530÷30=51
30x51=1530
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 42 N acts on a certain object, the acceleration of the object is 7 m/s^2. If the acceleration of the object becomes 2 m/s^2, what is the force?
The force on the object will be 12 N.
We have a moving object.
We have to determine the force on object when the acceleration of the object becomes 2 m/s².
What is the need of Force in real Life? How is it calculated ?Force is necessary to bring around a change in the state of the body. Either from rest to motion or motion to rest. It can be calculated using the formula-
Force (F) = mass (m) x acceleration (a)
According to the question -
When a force of 42 N acts on the object, then using the formula of force -
F = m x a
42 = m x 7
m(Object) = 6 Kg
When the acceleration of the object becomes 2 m/s², then -
F = m(object) x a
F = 6 x 2 = 12 N
Hence, the force on the object will be 12 N.
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what is simple intrest
Simple Interest can be defined as a method of calculating interest for a some principal amount over a period of time.
When we borrow money or take a loan , and when we pay back the loan some money is charged based in the amount borrowed and time period the loan is taken ,
that money charged is called as Simple Interest .
Simple Interest can be calculated using the formula
SI=(PxRxT)/100
where, P=principal , R=rate of interest , t=time taken
The main difference between the Simple Interest and Compound Interest is the in Simple interest the principal is fixed whereas in Compound Interest the principal keeps on varying with time .
For Example : John borrowed $200 from Smith at 10% rate of interest for 5 years .
So the Simple Interest that John has to pay Smith will be
SI=(PxRxT)/100
SI=(200x10x5)/100
SI=10000/100
SI=$100
So apart from principal amount $200 John has to pay extra $100 as interest , Total John will be paying $300 to smith in return.
Therefore , Simple Interest is defined .
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Hey can u pls answer my Chemistry questions asap
CHECK MY QUESTIONS I POSTED
Answer:
it is which of the following is a reactant
Step-by-step explanation:
There 14,260 people in attendance at a major league baseball game, which is 87% of the total capacity (total seats at the stadium). What is the total number of seats at the stadium?
4 1/7 times - 2 1/8 what is the answer
Answer: -8 45/56
Step-by-step explanation:
a tank contains 2840 l of pure water. solution that contains 0.01 kg of sugar per liter enters the tank at the rate 4 l/min, and is thoroughly mixed into it. the new solution drains out of the tank at the same rate. (a) how much sugar is in the tank at the begining? y(0)
By using differential equations' concept, we get that there is no sugar in the beginning.
What is a differential equation?A differential equation is an equation that connects the derivatives of one or more unknown functions.
Given:
Pure water = 2840 litres
sugar = 0.01kg per liter
Rate of sugar entering the tank = 4liter/min
New solution drains out at the rate = 4 litre/min
To find: sugar in the beginning.
Finding:
(a) In the beginning, the tank contains only pure water and no solution of water with sugar.
Hence, the sugar is null for t = 0.
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the ceo of a large company decides to survey the workers for their opinions about a new vacation policy. a sample of the population that gives each worker an equal chance of participating in the survey would be a(n): please choose the correct answer from the following choices, and then select the submit answer button. answer choices sample that includes half the workers. random sample. unrepresentative sample. sample that includes all the workers.
correct answer is random sample
A simple random sample, also known as an SRS, is a subset of people (also known as a sample) picked at random from a larger group of people (also known as a population) with an equal probability. It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people. [1] An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that may be used in combination with other, more sophisticated sampling techniques.
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Evaluate 4+2(x+6)^2 for x=-3
= (-54)
Step-by-step explanation:
ATQ
4+2(x+6)^2
6(x^2+12x+216)=0 [ {a+b}^2 = a^2+2ab+b^2 ]
6x^2 +72x+216=0
Put the value of x=(-3)
So ,
6x^2 +72x+36=0
6(-3)^2+72(-3)+216=0
6×(-9)+72×(-3)+216=0
(-54)+(-216)+216=0
= -54
Hence, the solution is -54 at x=(-3).
Thank You
given the equation of :y-5=25/2=25/2(x+4) what is the slope of any line parallel? M= blank
The slope of the any line parallel to the line y-5 = 25/2(x+4) is equal and its value is 25 /2 .
The graph of the equation y =mx + c could be a line with m as slope, and c because the y-intercept.This type of the equation is termed the slope-intercept form, and therefore the values of m and c area unit real numbers.We have given equation y-5 = 25/2(x+4) .
On simplifying , we get
y - 5 = 25 x/2 +50
y = 25 x /2 +55
On comparing the above equation with slope intercept form y = mx + b ,
we get m = 25 / 2
All the lines which are parallel to any other line have equal slope.
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a double decker bridge has two parallel levels connected by a network of diagonal girders. one of the girders makes 52 degrees angle with the lower level as shown in the figure. what is the measure of angle 1?
Answer: 128
Step-by-step explanation:
a whole supplementary angle adds up to 180 degrees
so 180
- 52
128
Write and equations of the horizontal and vertical lines that pass though the given point.
(-3,2)
(1,4)
Answer:
Step-by-step explanation:
(-3, 2)
Horizontal is y = 2
Vertical is x = -3
In the same way (1, 4) is
y = 4
x = 1.
he temperature t, in degrees f, of a cold yam placed in a hot oven is given by , where t is the time in minutes since the yam was put in the oven.
a) Positive b) Degree per minute c) Interpretation of f'(20)=2
So as we have we are given in the question: T = f(t)
where T is the temperature in degrees Fahrenheit of a cold yam placed in a hot oven and t is the time in minutes since the yam was put in the oven .f'(t) will represent the rate of change in temperature.
f'(t) will represent the change in temperature of yam when 1 minute has passed since it was kept in oven.
Since the temperature will always increase in oven, f'(t) will have a positive sign. units of f'(20)Since, f'(t) represent the rate of change in temperature. the unit will be degrees Fahrenheit per minute .f'(20)=2f'(20) will tell the change in temperature when 20 minutes have passed after the yam has been kept in oven .Thus, the given statement means that 20 minutes after the yam was kept for in the oven, the temperature of yam was increasing by 2 degree Fahrenheit per minute.
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Darren is purchasing a car that costs $11,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 5 years, how much is his monthly payment?
Darren's monthly payment on car loan is $210.83
Given,
Cost of the car Darren purchased = $11000
The simple interest for the car loan = 3%
Time period of loan = 5 years
We have to find the monthly payment amount:
Simple interest = PRT / 100
Where,
P = Principal amount = $11000
R = Rate of interest = 3%
T = Time period = 5 years
Now,
SI = PRT / 100
SI = (11000 × 3 × 5) / 100
SI = 110 × 3 × 5
SI = 1650
Here, the simple interest for 5 years is $1650
Now,
Total amount to be paid after 5 years = Principal amount + Simple interest
A = P + SI
A = 11000 + 1650
A = 12650
The amount to be paid after 5 years is $12650
Next,
The monthly payment amount:
Number of months in 5 years = 12 × 5 = 60 months
So,
Monthly payment amount = Total amount after 5 years / Total months in 5 years
Monthly payment amount = 12650 / 60 = 210.83
That is, the monthly payment amount on car loan is $210.83
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Write the equation of a square root function that has been
shifted up 3 units and right 1 unit and contains the point
(5,7).
The equation of the square root function is g(x) = √(x - 1) + 3
How to determine the equation of the square root function?A square root function is represented as
f(x) = √x
The transformation rule is given as
Shifted up 3 units and right 1 unit
This can be represented as
(x - 1, y + 3)
So, we have
g(x) = f(x - 1) + 3
This gives
g(x) = √(x - 1) + 3
From the question, we have
It contains the point (5,7).
This means that
g(5) = 7
So, we have
g(5) = √(5 - 1) + 3
Evaluate
g(5) = 7
Hence, the equation of the square root function is g(x) = √(x - 1) + 3
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if i choose four cards from a standard $52$-card deck, with replacement, what is the probability that i will end up with one card from each suit?
The probability that i will end up with one card from each suit is 3/32.
Probability:
Probability refer the possibility of the event.
The formula for the probability of the event is,
Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes
Given,
If i choose four cards from a standard 52-card deck, with replacement,
Then we need to find the probability that i will end up with one card from each suit.
In the first draw, we can take one card, if it is a spade one,
Then for the second draw we have 39 options
For the third draw we have 26 options
For the fourth draw we have 13 options,
So, the probability that i will end up with one card from each suit is
=> 1 x 39/52 x 26/52 x 13/52
=> 1 x 3/4 x 1/2 x 1/4
=> 3/32
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x^2=a^2, what does x equal?
x=±a
1. take the square root of both sides
identity the restrictions on the domain of f(x)=x-1/x+4
Answer:
Answer is option A.
X cannot be equal to -4
quadrilateral \(abcd\) has vertices \(a(1,0)\), \(b(5,0)\), \(c(7,2)\), and \(d(3,2)\). use slope to prove that \(abcd\) is a parallelogram. show all of your work.
Since, the sides ab || dc, ad || bc, and ad || bc . hence, the given quadrilateral abc is a prallelogram.
According to the given question.
We have the vertices of a quadrilateral abcd such that a(1, 0), b(5, 0), c(7, 2) and d(3, 2).
As we know that, a parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length.
Since, we have to prove that the given quadrilateral is a parallelogram by using slope. From the definition of the parallelogram we can say that, the opposite sides of the parallelogram are parallel to each other.
Now,
slope of side ab = 0-0/(5 -1) = 0
slope of side dc = 2 -2/(3-7) = 0
slope of the side ad = 2 -0/(3 -1) = 1
slope of the side bc = 2 -0/(7 -5) = 1
Here, the slopes of the opposite sides ab and dc, and ad and bc are equals and we know that when the slope of two line are equals then the lines are parallel to each other.
Therefore, the sides ab || dc, ad || bc, and ad || bc . hence, the given quadrilateral abc is a prallelogram.
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f(x) = 4/5x - 2
Find f(3)
Answer:
[tex]f(3) = \frac{2}{5} [/tex]
Step-by-step explanation:
f(x) = 4/5x - 2
f(3)=4/5(3)−2
f(3)=4/5(3)−2
f(3)=12/5+−2
f(3)=(12/5+−2)(Combine Like Terms)
f(3)=2/5
The function m(x) represents the amount of money (in dollars) it costs you to be a member at the YMCA after x monthsExplain the meaning of the following function notation using a sentence by connecting it to this situation:
m(0) = 50
The meaning of the function notation is the inital amount of money (in dollars) it costs you to be a member at the YMCA
How to explain the meaning of the function notation?The function is given as
m(x) represents the amount of money (in dollars) it costs you to be a member at the YMCA after x months
The function notation is given as
m(0)
The function notation m(0) implies that
We determine the value of m(x) when x = 0
This represents the x-intercept of the function
The x-intercept of the function is the initial value of the function
Hence, the meaning of the function notation is the inital amount of money (in dollars) it costs you to be a member at the YMCA
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Write an equation of the line that is parallel to y = 16 and passes through point (-7, 43).
The required equation of the line is y = 43 which is parallel to line y = 16 and passes through the point at (-7, 43).
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
First, we have to determine the slope of the line y = 16 by placing it into a slope-intercept form:
y = 16
Therefore, the slope of the line is m = 0
Since the required line passes through the point at (-7, 43).
Let the line (y - y₁) = m(x -x₁ )
Here x₁ = -7, y₁ = 43
Substitute the values in the equation,
So, y - (43) = 0(x-(-7))
⇒ y - 43 = 0
⇒ y = 43
Hence, the required equation of the line is y = 43 which is parallel to line y = 16 and passes through the point at (-7, 43).
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Which of the following is the equation of a line in slope-intercept form for a
line with slope = 2/3 and y-intercept at (0,-2)
The equation of the line with slope 2/3 and y-intercept at ( 0, - 2) is y = ( 2/3 )x - 2.
The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.
We have the slope 2/3 of a line and the y-intercept at ( 0, - 2 ).
Now, we know that
The slope-intercept form of the equation of a line with slope m and y-intercept at the point (0, c) is given by:
y = mx + c
The slope of the line is :
m = 2/3
And, the y-intercept is (0, c) = ( 0, -2)
Hence, the equation of the line in the slope-intercept form will be:
y = mx + c
y = ( 2/3 )x + ( - 2)
y = ( 2/3 )x - 2
Therefore, the slope-intercept form of the equation of the line is y = ( 2/3 )x - 2.
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Parsons Bank offers two checking-account plans. The No Frills plan charges
25 cents per check whereas the Simple Checking plan costs $
5 per month plus
5 cents per check. For what number of checks per month will the Simple Checking plan cost less?
If the number of checks are greater than 25, the Simple Checking plan cost less.
We have two checking account plans at Parson's bank.
We have to determine for what number of checks per month will the Simple Checking plan cost less.
What is an Inequality in Mathematics ?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Let for x number of checks per month the simple checking plan cost less.
For No frills plan -
Charge per check - $0.25
Therefore, for x checks, it will cost - $0.25x
For Simple Checking plan -
Fixed monthly charges - $5
Charges per check - $0.50
Therefore - for x checks - $5 + $0.50x
Now - for Simple Checking plan to cost less than No frills plan -
5 + 0.05x < 0.25x
5 < 0.25x - 0.05x
5 < 0.2x
x > 25
Hence, if the number of checks are greater than 25, the Simple Checking plan cost less.
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976,733,776 divide 9
Answer:
108525975,11111111111111111111111
Answer: 108525975.111
Step-by-step explanation:
25 points plus brainliest
Answer:
hi awaz are u in india server ?
12x square+22xy-8y square
Answer:
2(6x²+11xy−4y²)
Step-by-step explanation:
Factor 12x²+22xy−8y²
12x+22xy−8y²
=2(6x²+11xy−4y²)
can someone help pls
1/4 (x - 8) = 7
Answer: x = 36
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 36
Step-by-step explanation:
1/4 (x-8) =7
times both sides by 4
x-8=28
add 8 to both sides
x=36
If wood flooring costs 39.97 per square yard, how much will it cost to cover a room 15 feet by 25 feet?
Answer:
$14988.75
Step-by-step explanation:
15 x 25 = 375
375 x $39.97 = $14988.75
Answer:
$14988.75
Step-by-step explanation:
25x15 = 375
375 x 39.97 = $14988.75
What is the square root of 23 to the nearest integer?
Answer:
5
Step-by-step explanation:
If you put this in a calculator it comes back with 4.79583... decimals forever. Rounding to the nearest integer gives 5.
Answer:
5
Step-by-step explanation:
√23 : 4.795831523 whose nearest integer is 5 .
Hence, the nearest number is 5.