The value of 10p - 3p/4- 2 +5 for p=10 is 95.5.
What is Solution of Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given:
We have 10p - 3p/4- 2 +5.
Now put the value of p =10 we get
= 10p - 3p/4- 2 +5
= 10(10) - 3(10)/4- 2 +5
= 100 - 30/4 -2 + 5
= 100 -7.5 -2 +5
= 95.5
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North A North 110% B
Answer:
Step-by-step explanation:
I do not know bro. If I was a robot i'd know. I don't. I'm different.
PLS HELP ME MY GRADE DEPENDS ON IT
The constant of proportionality for the given graph is 6.
What is a constant of proportionality?The two sequences of numbers are proportional or directly proportional if the ratio between the corresponding elements of two sequences of numbers, typically experimental data, is constant and is known as the coefficient of proportionality or proportionality constant.
From the given graph the point is (5,30) from which the line is passing.
The equation for the constant of proportionality is written as below,
y = kx
Substitute the points in the above equation,
y = kx
30 = k x 5
k = 30 / 5
k = 6
Therefore, the proportionality constant for the displayed graph is 6.
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The regular price of an Apple Watch is $199. The watch is on sale for 15% off. Which expression is equal to the sale price in dollars, of the Apple Watch
Answer: $169.15
Step-by-step explanation: 15 percent of 199 is 29.85, and 199-29.85 is 169.15
A recycling bin is in the shape of a rectangular box. Find the height of the box if its length is 16 ft, its width is 7 ft, and its surface area is 500 ft2. (In the figure, h=height. Assume that the given surface area includes that of the top lid of the box.)
Answer:
Step-by-step explanation:
The surface area of a rectangular box can be calculated as follows:
Surface area = 2lw + 2lh + 2wh
Where l is the length, w is the width, and h is the height.
We are given the surface area (500 ft2) and the length and width (16 ft and 7 ft respectively), so we can use these values to solve for the height:
500 = 2 * 16 * 7 + 2 * 16 * h + 2 * 7 * h
500 = 224 + 32h + 14h
500 = 238h + 224
276 = 238h
h = 276 / 238
h = 1.16 ft
So the height of the box is approximately 1.16 feet.
Mrs, Hansen usually makes a disinfecting solution by adding 1 2/3 cups of bleach to 5 gallons of water. Today, however, she is using only 3 1/2 gallons of water. She wants to make the solution so that it has the same disinfecting strength. How much bleach should she use?
Answer:
1 1/6 cups
Step-by-step explanation:
You want to know the amount of bleach to use with 3 1/2 gallons of water to obtain the same strength as 1 2/3 cups of bleach in 5 gallons of water.
ProportionThe quantities are proportional, so the amount of bleach (b) will need to be ...
b/(3 1/2 gal) = (1 2/3 cups)/(5 gal)
Multiplying by 3 1/2 gal, we get ...
b = (3 1/2)(1 2/3)/5 cups = 1 1/6 cups
Mrs. Hanson should use 1 1/6 cups of bleach in 3 1/2 gallons of water.
The top 5% of applicants on a test will receive a scholarship. If the test scores are normally distributed with a mean of 76 and a standard distribution of 12, what is the lowest test score that still qualifies for a scholarship? Use Excel, and round your answer to the nearest integer.
Answer:
96
Step-by-step explanation:
Z-Scores:z-scores are defined as: [tex]z=\frac{x-\mu }{\sigma}[/tex], and this may look a bit confusing at first but by looking at the numerator and then denominator we can get a more understandable definition.
The numerator is first finding the difference between the statistic and the mean. It then divides by the standard deviation, so essentially it's telling us how far the statistic is from the mean in terms of standard deviation.
We can actually rewrite the equation to express this:
[tex]z=\frac{x-\mu }{\sigma}\\\\z\sigma = x-\mu\\\mu + z\sigma=x[/tex]
So in essence, how many standard deviations the statistic is away from the mean.
Now this may seem very off topic compared to what the problem is asking, but we want to convert the top 5% to a z-score. Now let's first convert this top 5% to a percentile. To be in the top 5% you just need to be in the 95th percentile and using technology we can convert this into a z-score which is approximately 1.645.
So this means the 95th percentile is 1.645 standard deviations away and in this case above (since it's positive) from the mean.
The good thing is we know the standard deviation and mean, now let's just apply it: [tex]76+1.645(12)=95.74[/tex]. We now want to round this to the nearest integer of 96, and now we have our answer!
Please help fast!! Which of the following equations represents a linear function? Please show the steps of the answer! Thank you
work and solution. Identify the error and descr
problem correctly.
Incorrect Work/Solution
m = the number of messages Nigel sent
644 = 7m
-7 -7
637 =m
Nigel sent an average of 637 messages
each day last week.
Correct Work/Solution
The correct solution to the problem is m = 92 and the error made was subtracting 7 from both sides of the equation instead of dividing both sides by 7
How to solve algebra correctly?Incorrect Work/Solution:
m = the number of messages Nigel sent
644 = 7m
subtract 7 from both sides
644 - 7= 7m - 7
637 = m
Nigel sent an average of 637 messages
each day last week.
Correct solution:
644 = 7m
divide both sides by 7
m = 644/7
m = 92
Therefore, Nigel sent an average of 92 messages
each day last week.
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What might the composer do to write a piece with a carefree and ecstatic mood?
A. A lively accompaniment
B. Dissonant chords
C. A slow tempo
D. A minor key
Answer:
A. A lively accompaniment
Step-by-step explanation:
B. Dissonant - would most likely result in a eerie mood
C. A slow tempo - could result in melancholy or calm emotions
D. A minor key - could also result in melancholy emotions
A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the area of the circle in meters?
The measurement closest to the area of the circle in meters is 379.94 sq. meters.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.
Given that,
diameter = 22m
radius = 22/2 = 11m
The area of the circle is:
A = πr²
Substituting the value of π = 3.14 and r = 11 we have:
A = (3.14)(11)²
A = 379.94
Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.
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find the value of each variable provide proofs
Answer:
both sides are equal to: [tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Trigonometric Functions:Trigonometric functions are defined as the ratios between sides based on some angle. There's three main trig functions you want to remember which are defined as:
[tex]sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}\\\\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}[/tex]
and then there are three other trig functions, which are simply the reciprocals:
[tex]csc(\theta)= \frac{\text{hypotenuse}}{\text{opposite}}=\frac{1}{sin(\theta)}\\\\sec(\theta) = \frac{\text{hypotenuse}}{\text{adjacent}}=\frac{1}{cos(\theta)}\\\\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}=\frac{1}{tan(\theta)}[/tex]
Now in our case we have the angle of 45 degrees and we have the hypotenuse with length 16, and we want to either solve for the opposite (x) or adjacent side (y)
Let's solve for the adjacent side, in which case we want a trig function defined using the hypotenuse and adjacent side, which is our cosine function.
[tex]cos(45)=\frac{y}{16}\implies cos(45)*16=y[/tex] and from here we can use a calculator or the unit circle which gives us an exact value. Using the unit circle, we can determine that: [tex]cos(45)=\frac{\sqrt{2}}{2}[/tex] and plugging that into our equation we get: [tex]y=\frac{\sqrt{2}}{2}*16=8\sqrt{2}[/tex] and we can use a calculator to approximate this: 11.313
Now we can also use the trig functions to find "x", which is the opposite side. In this case we want to use a trig function which is defined using the opposite and hypotenuse side, which is our sine function: [tex]sin(45)=\frac{x}{16}\implies sin(45)*16=x[/tex] and the cool thing about this, is that sin(45) and cos(45) are actually equal, so our "x" and "y' side are exactly equal: [tex]x=8\sqrt{2}[/tex]
We can verify this using the Pythagorean Theorem: [tex](8\sqrt{2})^2+(8\sqrt{2})^2=16^2\\\\(8^2*\sqrt{2}^2)+(8^2+\sqrt{2}^2)=256\\\\(64*2)+(64*2)=256\\\\128+128=256\\\\256=256[/tex]
Which statement is true about f(x) +2=1/6|x-3|?
Answer: The range of f(x) is [tex]f(x)\geq -2[/tex]
Step-by-step explanation:
The given function is
[tex]f(x)+2=\frac{1}{6}|x-3|[/tex]
It can be written as
[tex]f(x)=\frac{1}{6}|x-3|-2[/tex] ...(1)
The function is in the form of
[tex]g(x)=a|x-h|+k[/tex] ...(2)
Where, a is scale factor and (h,k) is vertex of the graph.
On comparing (1) and (2), we get
[tex]a=\frac{1}{6}[/tex]
[tex]h=3[/tex]
[tex]k=-2[/tex]
The value of a is [tex]\frac{1}{6}[/tex] . So, the graph compressed vertically. The value of a is positive, therefore the graph of f(x) opens upward.
We know the absolute value is always greater than or equal to 0.
[tex]|x-3|\geq 0[/tex]
[tex]\frac{1}{6}|x-3|\geq \frac{1}{6}(0)[/tex]
[tex]\frac{1}{6}|x-3|\geq 0[/tex]
[tex]\frac{1}{6}|x-3|-2\geq 0-2[/tex]
[tex]f(x)\geq -2[/tex]
hope you've understood...
15. Which set is an example of like fractions?
A. 7/4 and 4/7
B. 10/10 and 5/5
C. 2/1 and 2/3
D. 1/2 and 3/2
one night a movie theater sold 124 tickets. an adult ticket cost $12.50 and a child ticket cost $6.50. in all, $1298 was taken in. how many of each kind of ticket were sold?
Using the system of equations, we found the number of adult tickets sold as 82 and the number of child tickets sold as 42.
What is the system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Given,
Number of tickets sold = 124
Cost of one adult ticket = $ 12.50
Cost of one child ticket = $ 6.50
Total money received = $ 1298
We can write a system of equations using the above information.
Number of adult tickets sold = x
Number of child tickets sold = y
x + y = 124
12.5x + 6.5y = 1298
Solving the above equations, we can find x and y.
Multiplying the first equation by 6.5
6.5x+ 6.5y = 806
12.5x + 6.5y = 1298
Subtracting the equations,
-6x = -492
x = 82
Substituting the above value in any one of the equation
82 + y = 124
y = 42
Therefore from the system of equations, the number of adult tickets sold is 82 and the number of child tickets sold is 42.
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Selma wants to take her money out of the bank account with simple interest rate of 5% annually and put it in another account with compound interest rate of 8% compounded quarterly if the bank says closing the current account has a penalty of 5% at least how many years she let the money stay at the new account in order to recover the penalty paid using extra interest of the second?
Selma needs to leave the money in the new account for at least one year, option A. 1 to recover the penalty paid.
How did we get this assertion?Assuming Selma wants to recover the penalty paid using the extra interest earned in the new account, she needs to calculate the amount of time it will take for the new account's interest to make up for the penalty paid.
Let P be the initial amount of money in Selma's current account. The penalty for closing the account is 5% of P, which is 0.05P.
If Selma leaves the money in the current account for one year, she will earn simple interest of 5% of P, which is 0.05P. So at the end of the year, the balance in the current account will be P + 0.05P = 1.05P.
If Selma transfers the money to the new account, it will earn compound interest of 8% per year, compounded quarterly. The quarterly interest rate is 8%/4 = 2%.
After one quarter, the balance in the new account will be:
P*(1 + 2%/4) = P*1.02
After two quarters, the balance will be:
P1.02(1 + 2%/4) = P*1.02^2
After three quarters, the balance will be:
P1.02^2(1 + 2%/4) = P*1.02^3
After four quarters (i.e., one year), the balance will be:
P1.02^3(1 + 2%/4) = P*1.02^4
So at the end of one year, Selma will have 1.05P in the current account and P*1.02^4 in the new account.
To recover the penalty of 0.05P, Selma needs the balance in the new account to be at least 1.05P. That is,
P*1.02^4 >= 1.05P
Simplifying, we get:
1.02^4 >= 1.05
Taking the fourth root of both sides, we get:
1.02 >= 1.05^(1/4)
Using a calculator, we get:
1.02 >= 1.01298
So Selma needs to leave the money in the new account for at least one year to recover the penalty paid.
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Here is a number machine.
input
x 4
a) Work out the output when the input is 6
b) Work out the input when the output is 31
- 5
output
The solution is,
(a) Output = 37
(b) Input = 9
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
Given
y=5x -3
Solving (a): Output, when input = 8
This means that, we solve for y when x = 8
So, we have:
y=5x -3
=5*8 -3
=40 - 3
= 37
Solving (b): Input, when output = 42
This means that, we solve for x when y = 42
So, we have:
y=5x -3
5x = 42+3
= 45
Collect like terms
Divide both sides by 5
x = 9
Hence, The solution is,
(a) Output = 37
(b) Input = 9
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3. What is the volume of this complex figure?
3 m
4 m
6 m
4 m
7m
The volume of the given complex structure would be = 56 m³
How to calculate the volume of the given structure?The structure is made up of the big and small cubes.
The volume of the big cube = length × breadth × width = 7 × 3 × 4 = 84 m³
The volume of the small cube cut out = length * breadth * width = 4 × 7 × (4 - 3) = 28 m³
Volume of the complex figure = 84 m³ - 28 m³ = 56 m³
The volume of the complex figure shown in the diagram is 56 m³.
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? - 85 ÷ 641 = 650
Need help
Answer:
416,`735
Step-by-step explanation:
Do inverse operations
The table shows a linear relationship between the variables x and y. What is the slope? X y 3 6 9 24 12 6 12 288 18 8
The slope of the line with the points (6, 3) and (12, 6) is equal to 1/2.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (6, 12).
Points on y-axis = (3, 6).
Substituting the given data points into the slope formula, we have the following;
Slope, m = (6 - 3)/(12 - 6)
Slope, m = 3/6
Slope, m = 1/2.
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systems of equations - substitution method
2a + 7b = 13
8b = 2 - a
By using the substitution method, the value of a is equal to 10 and the value of b is equal to -1.
How to solve this system of equations?In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:
2a + 7b = 13 .......equation 1.
8b = 2 - a .......equation 2.
From equation 2, we have:
a = 2 - 8b .......equation 3.
By using the substitution method to substitute equation 3 into equation 1, we have the following:
2(2 - 8b) + 7b = 13
4 - 16b + 7b = 13
4 - 9b = 13
9b = 4 - 13
9b = -9
b = -1
a = 2 - 8b
a = 2 - 8(-1)
a = 2 + 8
a = 10.
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The polynomial function f(x) = x³ - 4x²-3x + 18 has (x+2) as one of its linear factors. Use long division to find the other linear factors.
Separate multiple factors with a comma. If there are any repeated factors, only write them once.
The complete factorization of the polynomial function f(x) = x³ - 4x² - 3x + 18 is (x + 2)(x - 22).
What is a polynomial ?
A polynomial is a mathematical expression involving a sum of powers in one or more variables (indeterminates) multiplied by coefficients.
where n is a non-negative integer (the degree of the polynomial), x is the variable, and (the coefficients of the polynomial). The highest power of x in the expression is n, and this term is called the leading term. The coefficient of the leading term, a_n, is called the leading coefficient.
To find the other linear factors of the polynomial function f(x) = x³ - 4x² - 3x + 18, we can use long division by dividing the polynomial function by (x + 2).
Here's how the long division would look like:
x³ - 4x² - 3x + 18
÷ x + 2
__________________________
x² - 6x - 20
÷ x + 2
__________________________
x - 22
÷ x + 2
__________________________
-20
here -20 is the remainder.
The complete factorization of the polynomial function f(x) = x³ - 4x² - 3x + 18 is (x + 2)(x - 22).
So, the other linear factors are x - 22.
Therefore, The complete factorization of the polynomial function f(x) = x³ - 4x² - 3x + 18 is (x + 2)(x - 22).
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Question is attached below!
Thanks! :)
The parameters for the home mortgage, and the monthly payment, PMT, for the mortgage are as follows;
Part 1;
P = $175,000, APR = 7%, n = 12, Y = 30
Part 2;
The monthly payment for the mortgage, PMT ≈ $1,164.28
What is a mortgage?A mortgage is a loan agreement, with the possession of the collateral presented for the loan such as a house being bought with the loan amount, being relinquished by the debtor, upon default
Part 1
The value of the mortgage = $175,000
The fixed Annual Percentage Rate, APR = 7%
The duration of the payment = 30 years
The principal amount of the mortgage, P = $175,000The annual percentage rate, APR = 7% = 0.07The number of payment (periods), per year, n = Monthly = 12The number of years of the loan, Y = 30Part 2; The monthly payment PMT loan formula can be presented in the following format;
[tex]PMT = \frac{P\times \frac{APR}{n} }{1-\left(1+\frac{APR}{n}\right)^{(-n\cdot Y)} }[/tex]Therefore;
[tex]PMT = \frac{175000\times \frac{0.07}{12} }{1-\left(1+\frac{0.07}{12}\right)^{(-12\times 30)} } \approx 1164.28[/tex]
The monthly payment for the mortgage is, PMT ≈ $1,164.28
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Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20 years. Also, find the APY for the account. A $1000 deposit in an account with an APR of 3%. The balance in the account after 1 year is approximately
The APY for the account would be 3.045%.
What is continuous compounding?
The formula for continuous compounding is given by:
A = P[tex]e^{(rt)}[/tex]
where:
A = final amount
P = principal amount
e = the mathematical constant e (approximately 2.71828)
r = annual interest rate
t = time in years
In this case, P = $1000, r = 0.03 (since APR is given), and t = 1 year.
Using the formula, we have:
A = 1000[tex]e^{(0.03*1)}[/tex]
A ≈ $1030.45
So the balance in the account after 1 year is approximately $1030.45.
To find the balance after 5 and 20 years, we simply need to plug in the corresponding values for t:
For t = 5:
A = 1000[tex]e^{(0.03*5)}[/tex]
A ≈ $1160.92
For t = 20:
A = 1000[tex]e^{(0.03*20)}[/tex]
A ≈ $1806.11
To find the APY, we use the formula:
APY = (1 + r/n)ⁿ- 1
where:
n = number of compounding periods per year
Since this is continuous compounding, we take the limit as n approaches infinity:
APY = eʳ - 1
APY = [tex]e^{0.03}[/tex] - 1
APY ≈ 0.03045 or 3.045%
Hence, the APY for the account would be 3.045%.
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Determine the Domain and Range for the graph below. Write your answer in interval notation and as an inequality.
Domain written in Interval Notation:
Domain written as an Inequality:
Range written in Interval Notation:
Range written as an Inequality:
Points on the graph are:
(0,1) (1,2) (2,3) (3,4) (4,5)
(-1,0) (-2,-1) (-3,-2) (-4,-3)
The domain and the range of the ordered pairs in interval notations are as follows: 1) Domain = [0,4], Range = [1,5] ; (2) Domain [-1,-4], Range =[0,-3]
Domain and Range of a set of Ordered pairsThe domain of a function is the collection of all conceivable values that may be used as inputs, or alternatively, it is the whole array of possible values for independent variables.
The range of a function is the set of every possible value for the dependent variable's outcomes, or the whole set of all possible values when the domain is substituted.
In a set of ordered pairs (x,y), the domain (input) refers to all the x-values and the range refers to all the y-values.
From the points on the graph given:
(0,1) (1,2) (2,3) (3,4) (4,5)
Domain: (0, 1, 2, 3, 4)
In interval notation: = [0,4]Range: (1, 2, 3, 4, 5)
In interval notation: = [1, 5](-1,0) (-2,-1) (-3,-2) (-4,-3)
Domain: ( -1, -2, -3, -4)
In interval notation: = [-1, -4]Range: (0, -1, -2, -3)
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A 80 kg monkey climbs a 15 meter tree in half a minute. What is the magnitude of power the monkey demonstrated?.
The demonstration of magnitude of power given by 80 kg monkey by climbing a 15 meter tree in half a minute is equal to option b. 392 J/S.
Weight 'm' of the monkey is equal to 80kilogram
Height 'h' of the tree is equal to 15 meter
Time 't' taken by monkey to climb a tree = half a minute
= 30 minutes
g = 9.8 m/s²
Magnitude of power = ( m × g × h )/ t
⇒ Magnitude of power = ( 80 × 9.8 × 15 )/ 30
⇒ Magnitude of power = 784 / 2
⇒ Magnitude of power = 392 J/S
Therefore, the magnitude of the power for the given weight , displacement and time is equal to option b. 392 J/S.
The above question is incomplete, the complete question is:
A 80 Kg monkey climbs a 15 meter tree in half a minute. What is the magnitude of power the monkey demonstrated?
a. 13.1 J/S
b. 392 J/S
c. 784 J/s
d. 11760 J/s
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Please help me. I'll give brainliest.
Answer: interest= 670
Step-by-step explanation:
(1+r)^t*principal
4) Marla is jumping rope in her school's jump-a-thon to raise money for the school library.
Marla's parents pledge $0.25 for each time Marla jumps rope and write a check for $63.25. This
situation is modeled by the equation 0.25c = 63.25, where c represents the number of times that
Marla jumps rope in the jump-a-thon. What is the value of c in the equation?
A. 16
B. 64
C. 63
D. 253
Step-by-step explanation:
0.25c = 63.25
We would just get c alone by dividing by 0.25 on both sides of the equal sign
c = 253
Answer: C = 253
Step-by-step explanation:
Use the coordinates below to determine if AABC and ADEF are congruent.
AABC: A(2, -8), B(-5, -2), C(-7, 3); ADEF: D(-9, 7), E(-11, 12), F(-2, 1)
AB=
DE=
BC=
EF=
AC=
DF=
Are the angles congruent? If yes, explain your reasoning and write a congruency statement.
No The triangles' are not congruent
How to determine if the triangles are congruentThe length of the corresponding sides should be equal and the length of sides is gotten using the equation:
The length of line in an ordered pair is calculated using the formula
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
d = distance between the points
x₂ and x₁ = points in x coordinates
y₂ and y₁ = points in y coordinates
distance between points A(2, -8), B(-5, -2), C(-7, 3); and ΔDEF: D(-9, 7), E(-11, 12), F(-2, 1) are calculated as follows:
AB =√{(-2 + 5)² + (-8 + 2)²} = 6.71
DE = √{(-9 + 1)² + (7 - 12)²} = 9.43
BC = √{(-5 + 7)² + (-2 - 3)²} = 5.39
EF = √{(-11 + 2)² + (12 - 1)²} = 14.21
AC = √{(2 + 7)² + (-8 - 3)²} = 14.21
DF = √{(-9 + 2)² + (7 - 1)²} = 9.22
Examining the figures showing the side lengths shows that the two triangles are not congruent
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the company bought $15000 worth of equipment beginnning of year 2018 the equipment is est. to increase in value at a rate of 15.9% per year how many yers, t , after which the value of the company's new equipment will be less than 7500 what formula would be used
Answer:
To solve this problem, we can use the formula for exponential growth:
V(t) = V0 * (1 + r)^t
where:
V(t) is the value of the equipment at time t
V0 is the initial value of the equipment ($15,000)
r is the annual growth rate (15.9% or 0.159)
t is the time in years
We want to find the time t when the value of the equipment will be less than $7500. So we can set up the following inequality:
V(t) < 7500
Substituting the formula for V(t), we get:
V0 * (1 + r)^t < 7500
Substituting the given values, we get:
15000 * (1 + 0.159)^t < 7500
Simplifying and solving for t,
we get:(1 + 0.159)^t < 0.5
t * log(1 + 0.159) < log(0.5)
t > log(0.5) / log(1 + 0.159)
Using a calculator, we get:
t > 2.64
So the company's new equipment will be worth less than $7500 after about 2.64 years.
Step-by-step explanation:
What does the notation f(2) mean?
multiply fby 2
the output (y-value) when x = 2
O the value of x when the output is 2
Evaluate f(2)=
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
y = f(x) represents a function with output value as y and x as an input in the function.
Therefore, f(2) represents value of function (y) at x = 2
so the correct choice here would be : " the output (y - value) when x = 2 "
