Using Simple Interest, The most he can pay extra on his car note is $340.00.
What is simple interest?A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,
If William's current monthly expenses are $2,660.00, then his monthly net income (income after expenses) is:
$3,000.00 - $2,660.00 = $340.00
William can use this $340.00 to pay extra on his car note.
So, the most he can pay extra on his car note is $340.00.
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The Smith Family is buying a house for $350,000 with a down payment of $70,000 for a 15-year loan, $66 per month insurance, property tax is $230 per month and HOA is $600 per year. Calculate their total monthly payment
Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.
What is the Monthly Payment?To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.
1. Mortgage Payment:
The loan amount is the house price minus the down payment:
$350,000 - $70,000 = $280,000.
To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).
We can use a mortgage calculator formula to calculate the monthly payment:
M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]
Where:
M = Monthly mortgage payment
P = Loan amount
i = Monthly interest rate
n = Number of months
The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.
i = 4% / 12 = 0.00333 (monthly interest rate)
n = 180 (loan term in months)
Plugging in the values into the formula:
M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]
Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.
2. Insurance:
The monthly insurance payment is given as $66.
3. Property Tax:
The monthly property tax payment is given as $230.
4. HOA Fees:
The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.
Now, let's add up all these expenses:
Mortgage payment: $2,014.99
Insurance: $66
Property tax: $230
HOA fees: $50
Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees
Total monthly payment = $2,014.99 + $66 + $230 + $50
Total monthly payment = $2,360.99
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the probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in february are, respectively, 0.19, 0.38, 0.29, and 0.
The given probabilities are 0.19, 0.38, 0.29, and 0, respectively.Given that the probabilities that an automobile salesperson will sell 0, 1, 2.
The given probabilities are shown in the following table:Number of CarsSoldProbability 0 0.19 1 0.38 2 0.29 3 0
We know that the sum of probabilities of all possible events is 1.
Therefore, the probability of selling 3 cars is 0 since the sum of the probabilities of selling
0, 1, and 2 cars is equal to
0.19 + 0.38 + 0.29 = 0.86,
which is less than 1.The given probabilities are
0.19, 0.38, 0.29, and 0,
respectively.
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find an interval, of length 1 and having integer endpoints, on which the function has a root.
In summary, to find an interval of length 1 and having integer endpoints on which the function has a root, we can use a trial-and-error method to identify intervals that satisfy the given criteria. The choice of interval may depend on the specific function and there may be multiple intervals that satisfy these conditions.
To find an interval on which the function has a root, we need to consider the function's behavior and identify any potential zero crossings. An interval of length 1 with integer endpoints can be represented as [a, a+1] where a is an integer.
One approach to finding a root is to plot the function and visually identify where it crosses the x-axis. Another approach is to use algebra and solve for when the function equals zero. However, without knowing the specific function, we cannot use these methods.
Instead, we can use a trial-and-error method to identify an interval that satisfies the given criteria. For example, we can start by choosing an integer a and evaluating the function at a and a+1. If the function has opposite signs at these two endpoints, then by the Intermediate Value Theorem, the function must have at least one root in the interval [a, a+1].
We can continue this process until we find an interval that satisfies the given criteria. Note that there may be multiple intervals that satisfy these conditions, and the choice of interval may depend on the specific function.
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The triangles are congruent by SSS and HL.
Triangles R S T and V W X are shown. Triangle R S T can be rotated about point S and then shifted down and to the left to form triangle V W X.
Which transformation(s) can be used to map △RST onto
△VWX?
Using translation concepts, the transformations that are used to map △RST onto △VWX are:
Rotation, then a translation.
What is the missing information?The two triangles are given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Looking at the image, we have that:
The orientation of the triangle changed, hence it underwent a rotation.After the function underwent the rotation, it was moved up and right, then it underwent a translation.More can be learned about translation concepts at https://brainly.com/question/4521517
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Which of these improper fractions is between 4 and 5? How do I know. 13/3 13/4 13/5 13/6
13/3?
I think it is but so you put 13/3 into a proper fraction so 4 1/3
The improper fraction that lies between 4 and 5 given the values in the option is 13/3.
What are the improper fractions that lie between 4 and 5?Improper fractions are numbers in which the numerator are greater than the denominator. An example is 13/4.
In order to determine the answer, the improper fraction would be converted to mixed fractions.
13 /3 = 4 1/3 13 / 4 = 3 1/4 13/5 = 2 2/5 13/6 = 2 1/3To learn more about fractions, please check: https://brainly.com/question/25779356
12(y+2 =6(2y+4 is that infinite,one or no solution
Answer:
one solution
Step-by-step explanation:
just did the same edge
Answer:
one solution
Step-by-step explanation:
12y+24=12y+28
12+12=24
28-24=4
24÷4=6
Thank you
Which expression is equivalent to 8 (6n + 6)?
- 48 + 6
- 8(n + 5n + 6)
- 6(8n + 6)
- 6 (6n + 8)
Answer:
Second option
Step-by-step explanation:
Given the following question:
\(8(6n+6)\)
To find the answer we have to simplify the following expression and then simplify the options in till we have a equivalent answer.
\(8(6n+6)\)
\(8\times(6n+6)\)
\(8\times6n=48n\)
\(8\times6=48\)
\(48n+48\)
Now one of these options after being simplified will be equal 48n + 48.
\(48+6\)
Already simplified
First option isn't equivalent to the given expression.
\(8(n+5n+6)\)
\(n+5n=6n\)
\(8\times(6n+6)\)
\(8\times6n=48n\)
\(6\times8=48\)
\(48n+48\)
Second option is equivalent to the given expression.
Hope this helps.
scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. what is the minimum score you would need to be in the top 7%?
To find the minimum score needed to be in the top 7%, we need to find the score that corresponds to the 93rd percentile, since the top 7% is the complement of the bottom 93%.
Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 93rd percentile, which is approximately 1.44. This means that a score of 1.44 standard deviations above the mean corresponds to the 93rd percentile.
To find the actual score, we can use the formula:
z = (x - μ) / σ
where z is the z-score, x is the actual score, μ is the mean, and σ is the standard deviation. Solving for x, we get:
x = z * σ + μ
= 1.44 * 6.1 + 76.4
= 85.084
So, the minimum score needed to be in the top 7% is approximately 85.084 points.
You sell triangular flags made from felt. How much felt do you need to make 60 60 flags?
The cost of making 60 triangular flags with base 3.5feet and height 2.5 feet with making charges of $0.40per square foot is equal to $105.
Flag is triangular in shape.
Base of the flag = 3.5 feet
Height of the flag = 2.5feet
Area of the flag = ( 1/2) base × height
= ( 1/2 )× ( 3.5 ) × ( 2.5)
= 4.375 square feet.
Cost of one square foot flag = $0.40
Cost of making one flag = $ ( 0.40 × 4.375 )
= $ 1.75
Cost of making 60 flags = $ ( 1.75 × 60 )
= $ 105.
Therefore, the cost of making 60 triangular flag is equal to $105.
The given question is incomplete, I answer the question in general according to my knowledge:
You make and sell triangular flags. Each flag has a base of 3.5 feet and a height of 2.5 feet. Fabric for the flags costs $0.40 per square foot. What is the cost to make 60 flags?
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Which equation represents the line through (0, 0) and (2, 5)?
O A. y = 5x
OB. y = x
O C. y =
x
D. y = 2x
The equation of slope-intercept form the line passing through (0,0) and (2,5) will be y = ( 5 / 2 )x. The correct option is C.
What is slope-intercept form explain?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. A common name for this form is the y = mx + b form.m = ( y₂ - y₁) / ( x₂ - x₁ )
m = ( 5 - 0 ) / ( 2 - 0 )
m = ( 5 / 2 )
y = ( 5 / 2)x + c
0 = 0 + c
c = 0
Y = ( 5 / 2)x
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Find the solution(s) to the system of equations below using the graph only. y = x^2 y = -2x + 3 Support your answer algebraically. Show all work!
ANSWER:
\((1,1)\text{ and }(-3,9)\)STEP-BY-STEP EXPLANATION:
Graphically the solution are points of intersection between both graphs, just like this:
We have the following system of equations:
\(\begin{gathered} y=x^2 \\ y=-2x+3 \end{gathered}\)We solve by means of equalization
\(\begin{gathered} x^2=-2x+3 \\ x+2x-3=0 \\ (x-1)(x+3)=0 \\ x-1=0\rightarrow x=1 \\ x+3=0\rightarrow x=-3 \end{gathered}\)Now, for y:
\(\begin{gathered} y=1^2=1 \\ y=(-3)^2=9 \end{gathered}\)Therefore, the solutions are:
\((1,1)\text{ and }(-3,9)\)Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have the given x-intercepts. (-5,0), (5,0) opens upward f(x)=x²+x-5 X opens downward f(x)=x²-x+5
We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.
For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:
f(x) = a(x + 5)(x - 5)
where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:
f(x) = a(x^2 - 25)
To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:
f(x) = x^2 - 25
For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:
g(x) = a(x + 5)(x - 5)
where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:
g(x) = a(x^2 - 25)
To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:
g(x) = -x^2 + 25
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Which expression is equivalent to 83 ⋅ 8−7? (1 point)
a
fraction: 1 over 8 to the power 10
b
1 over 8 to the power 4
c
810
d
84
\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)
use integration by parts to evaluate the following integral. ∫−[infinity]−6θeθ dθ
The integral evaluates to [θeθ]∞−6 - e^(-6). To evaluate the integral using integration by parts, we first need to identify the parts of the integrand to be differentiated (u) and integrated (dv).
Let's choose:
u = -6θ
dv = e^θ dθ
Now, we need to differentiate u and integrate dv:
du = -6 dθ
v = ∫ e^θ dθ = e^θ
Integration by parts formula is given by:
∫u dv = uv - ∫v du
Applying this formula, we get:
∫(-6θ e^θ) dθ = (-6θ e^θ) - ∫(e^θ (-6)) dθ
Now, integrate the second term:
= -6θ e^θ + 6 ∫ e^θ dθ
Integrate e^θ:
= -6θ e^θ + 6 (e^θ) + C
Now, since the integral is from -∞ to a specific value, the integral is an improper integral. However, it's important to note that e^θ will go to 0 as θ approaches -∞, so we can evaluate the improper integral as:
∫[-∞, a] -6θ e^θ dθ = -6a e^a + 6 (e^a) - 6 (e^(-∞)) + C
So, the final answer is: -6θ e^θ + 6 e^θ + C
To use integration by parts to evaluate ∫−∞−6θeθ dθ, we need to choose two functions to differentiate and integrate. Let's choose u = θ and dv = eθ dθ. Then, du/dθ = 1 and v = eθ.
Using the integration by parts formula, we have:
∫−∞−6θeθ dθ = [θeθ]∞−6 - ∫−∞−6eθ dθ
Now, we need to evaluate the second integral. This is a straightforward integral, and we can evaluate it using the antiderivative of eθ:
∫−∞−6eθ dθ = [eθ]∞−6 = e^(-6)
Substituting this back into the original equation, we get:
∫−∞−6θeθ dθ = [θeθ]∞−6 - e^(-6)
Therefore, the integral evaluates to [θeθ]∞−6 - e^(-6).
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Please help me! I will mark brainliest for best answer :)
Answer:
r = 5
I just turned it in it was correct
Step-by-step explanation:
please mark brainliest
Answer:
7 = 2 + r
Step-by-step explanation:
So since we know the hanger is balanced, we can determine that r = the amt. of the other side - 2. =>
We can count the amt. of "1" on the side of the hanger with only 1 --> to get 7 "1" which is 7(1) = 7.
The other side with "r" has 2 "1" thus --> 2(1) = 2
So, 7 = 2 + r is our equation and if we were to solve for r, => r = 5
Hope this helps!
Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0. ] f(x) = ln x, a = 9
Taylor series is \(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have
f(x) = ln(x)
\(f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }\)
.
.
.
Since we need to have it centered at 9, we must take the value of f(9), and so on.
f(9) = ln(9)
\(f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }\)
.
.
.
Following the pattern, we can see that for \(f^{n}(x)\),
\(f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} } \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}\)
This applies for n ≥ 1, Expressing f(x) in summation, we have
\(\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}\)
Combining ln2 with the rest of series, we have
\(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
Taylor series is \(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)
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x<7, x=6
True or false
Help please
Answer:
true
Step-by-step explanation:
if we say x is less than 7 and x is equal to 6 it makes sense that 6 is less than 7
MATHHHHH!!!! HELP ME OUTTT
Answer:a
Step-by-step explanation:hhehenndherndur
Two angles of a quadrilateral measure 105° and 150°. The other two angles are in a ratio of 4:17. What are the measures of those two angles?
Answer:
20 degrees and 85 degrees.
Step-by-step explanation:
105 degrees+ 150 degrees is equal to 255 degrees. 360 degrees - 255 degrees is 105 degrees. To get the ratio equivalent to 105 degrees you have to multiply both sides by 5 in order to get 20 degrees, and 85 degrees. I hope this helps! :)
The workers at Antonio's pizza shop can make 18 pizzas for every hour. They have already made 40 pizzas. Write a function rule that can be used to determine the number of pizzas at Antonio's pizza shop f(p) at p hours.
Answer:
f(p) = 18p + 40
Step-by-step explanation:
Since they can make 18 pizzas per hour, number of pizzas made in p hours = 18p
They already have 40 pizzas
So total number of pizzas at any time p is f(p) = 18p + 40
Triangle A′B′C′ is a dilation of triangle ABC about point P with a scale factor of 1/2. Is the dilation a reduction or an enlargement? reduction enlargement
Triangle A′B′C′ is a dilation of triangle ABC about point P with a scale factor of 1/2. The dilation is a reduction.
A dilation is a transformation that changes the size of a figure, but not its shape. It can be either an enlargement or a reduction depending on the value of the scale factor.
If the scale factor is greater than 1, then the image will be larger than the original figure. This is called an enlargement.
If the scale factor is between 0 and 1, then the image will be smaller than the original figure. This is called a reduction.
In this case, the scale factor is 1/2, which is less than 1. Therefore, the image of triangle ABC is smaller than the original triangle, and the dilation is a reduction.
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Juan buys 13 bottles of apple juice at the corner store for a total cost of $5.07. Assume
each bottle of juice is the same price. If c represents the total cost in dollars and cents
of the juice for any number, j, of bottles of juice, write a proportional equation for c in
terms of j that matches the context.
The proportional equation for c in terms of j as per the question statement will be equal to c = 0.39(j).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
Price of 13 bottles = $5.07
Then, the price of each bottle = 5.07/13 = $0.39
As per the statement in the question,
The total cost is represented by c and the number of bottles will be j.
Then, the proportional equation will be,
c = 0.39(j)
As the number of bottles will increase, the total price will also increase with it.
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What is the common ratio of the sequence below?
2/3, 1/6, 1/24, 1/96,…
1/9
1/4
4
9
Failing to reject H0 in the test for significance of regression means that
all of the regressor constants are equal to 0.
the intercept is equal to 0.
at least one of the regressor constants is equal to 0.
one of the regressor constants is equal to 0.
Failing to reject H0 in the test for significance of regression means that at least one of the regressor constants is equal to 0, but it does not specify which regressor constant(s) or the status of the intercept.
In regression analysis, the test for significance of regression examines whether the independent variables (regressors) collectively have a significant impact on the dependent variable. The null hypothesis, H0, assumes that all the regressor coefficients are equal to 0, indicating no relationship between the independent and dependent variables.
If the test fails to reject H0, it means that there is not enough evidence to conclude that all of the regressor coefficients are significantly different from 0. However, this does not imply that they are all equal to 0. It is possible that some regressor coefficients are non-zero, while others may be zero.
Failing to reject H0 does not provide information about the intercept or imply that it is equal to 0. It also does not specify that only one of the regressor constants is equal to 0. It simply indicates that there is insufficient evidence to conclude that all of the regressor constants are non-zero.
In summary, when the test for significance of regression fails to reject H0, it suggests that at least one of the regressor constants is equal to 0, but it does not provide information about the intercept or the specific regressor constants that may be zero.
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a number is at random from 1 to 10 find the probability of selecting a multiple of 2
Answer:
1/2
Step-by-step explanation:
The multiples of 2 in between 1 and 10: 2, 4, 6, 8, 10
5 out of 10 are multiples of 2
5/10 = 1/2
a factor in an anova test describes the cause of the variation in the data. TRue or false
In the ANOVA test, factors don't directly explain variation, levels don't account for external variation, and the blocking factor's significance should be considered despite a significant main factor for accurate interpretation.
1. A factor in an ANOVA test that does not necessarily describe the cause of the variation in the data is False. A factor represents a categorical variable or an independent variable that is believed to have an effect on the dependent variable. It is used to explain the observed differences among groups or treatments, but it does not directly explain the cause of the variation.
2. A level in an ANOVA test does not account for the variation outside of the main factor is False. A level refers to the different values or categories within a factor. It represents the specific groups or treatments being compared within a factor.
Levels do not account for variation outside of the main factor; rather, they help analyze the variation within the factor and assess the differences between the levels.
3. The significance of the blocking factor is still important even if the main factor is statistically significant in a randomized block ANOVA is False. A blocking factor is included to account for potential sources of variation that are not of primary interest but might affect the outcome variable.
It helps control for confounding variables or other sources of variation, and its significance should be considered in interpreting the results accurately. Both the main factor and the blocking factor need to be evaluated to understand the overall significance and impact of different factors on the outcome variable.
Therefore, all the answers are false.
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Note: The question would be as
1. A Factor In An ANOVA Test Describes The Cause Of The Variation In The Data. True Or False?
2. A Level In An ANOVA Test Accounts For The Variation Outside Of The Main Factor. True Or False?
3. As Long As The Main Factor Is Statistically Significant With Randomized Block ANOVA, There Is No Concern About The Significance Of The Blocking Factor. True
20/100 + 4/10 =20/100 + x = x move a fraction to make the equation true
Answer:
remove 4/10
20/100=20/100= 1 which is x
Step-by-step explanation:
Mrk ME BRAINLIEST PLZZZZZZZZZZ
What is the slope-intercept form of the line represented in the table shown?
X Y
-2 14
-1 12
0 10
1 8
2 6
3 4
Step 1: Find the y-intercept:
Step 2: Choose any two points from the table to find the slope:
Step 3: Use the newly-found slope to write the slope-intercept equation. The form
for that is y = mx + b.
Step 4: Check your work. Choose an ordered pair from the table and substitute
into the newly-found equation
Answer: The slope-intercept form is y = -2x + 10
Step-by-step explanation:
Step 1: The y-intercept is the point where x=0, so that is (0,10)
Step 2: Use the points (-2,14) and (-1,12) to find the slope
Slope (m) = ΔY/ΔX = -2/1 = -2
Step 3: The slope-intercept form is:
y = mx+b
y = (step 2 value) x + (step 1 value)
y = -2x+10
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PLZZZZZZZZZZZZZZZZZZ HELP willam and debra are celebrating their anniversary by having a reception at a local reception hall. They have budgeted for their reception. If the reception hall charges a cleanup fee plus per person, find the greatest number of people that they may invite and still stay within their budget
Answer:
William and Debra pierce can invite 140 people for the 20th anniversary.
Step-by-step explanation:
Total budget = 4500 $
Charge of cleanup = 60$
Remaining money = 4500 - 60 = 4440 $
Charge per person = 30 $
Number of persons they can invite
So William and Debra pierce can invite 140 people for the 20th anniversary.
Can someone pose help me with this?