The minimum number of books she must sell to make a profit is 2.
What is profit?In mathematics, the gain from any business operation is referred to as the profit. Every time a shopkeeper sells a product, his goal is to make a profit by getting something from the customer. Basically, he sells the item for more money than it costs.
Given that Anna estimates her revenue equation as R = 6.56x
And her cost equation as C = 10.063 + 1.09x.
To get profit revenue is greater than cost, i.e.
R>C
6.56x > 10.063 + 1.09x
subtract 1.09x from both sides
6.56x - 1.09x > 10.063
5.47x > 10.063
divide both sides by 5.47
x > 10.063/ 5.47
x > 1.84
So the minimum number of books she must sell to make a profit is 2.
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here is an equation x+4 = 17
The tape diagram is attached in the solution.
What is tape diagram?A tape diagram is a rectangular visual model resembling a piece of tape, that is used to assist with the calculation of ratios and addition, subtraction, and commonly multiplication.
Given is an equation x+4 = 17,
We need to draw a tape diagram for the same,
So, for that, since we have x + 4 which is equal to 17, so, we will draw a box, divide into two parts one will show the x part and ine will show the 4 part, and collectively it will show 17.
The value of the x+4 and 17 is the same, because, according to the diagram, the quantity x+4 collectively showing 17, therefore, they have same values.
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It's election day for a club. If a president and vice-president are elected, how many different combinations can be made among twelve people?
Answer:
24
Step-by-step explanation:
You multiply the number of positions (2), by the number of people (12).
Use fraction strips to find each sum
2 6/10 + 1 3/5
Answer:
4 1/5
Step-by-step explanation:
6/10 = 3/5
2+1=3
3+6/5 = 4 1/5
. ¿Qué cantidad por concepto de interés simple mensual produce un capital de $ 500,000 al 8% anual de interés simple?
Answer:
$500.000 × 0.08 = $40,000
$40,000/12 = $3.333.33
Step-by-step explanation:
El interés simple mensual se puede calcular como una fracción del interés anual. Para calcular el interés simple mensual, primero debemos calcular el interés anual y luego dividirlo entre 12 para obtener el interés mensual.
El interés anual se puede calcular multiplicando el capital por la tasa de interés:
$500,000 × 0.08 = $40,000
Luego, para obtener el interés simple mensual, dividimos el interés anual por 12:
$40,000 / 12 = $3,333.33
Por lo tanto, un capital de $500,000 al 8% de interés simple generará $3,333.33 de interés simple mensual.
I NEED HELP RIGHT AWAY PLS HELP
You asked amusement park visitors the question "How
many times did
left the park.
you ride the Ferris wheel today?" as they
Four people said they rode a Ferris wheel
5 times.
Explain how this would be shown on a dot plot.
On a dot plot, the statement saying that Four people said they rode a Ferris wheel five times would be represented with four dots above the input five.
What is a dot plot?
A dot plot shows the number of times that each observation was accrued in a data-set, which the number of dots representing the number of observations of each input.
The parameters for this problem are given as follows:
Input: number of times people rode the Ferris wheel.Output: number of dots.Hence the statement would be represented with four dots above the input five.
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Suppose That \( R \) Is The Finite Region Bounded By \( Y=X, Y=X+1, X=0 \), And \( X=3 \). find the exact value of the volume of the object we obtain when rotating about the -axis.
Step-by-step explanation:
Find Object Volume Rotation
Suppose That \( R \) Is The Finite Region Bounded By \( Y=X, Y=X+1, X=0 \), And \( X=3 \). find the exact value of the volume of the object we obtain when rotating about the -axis.
The region R is a triangular region defined by the lines y = x, y = x + 1, x = 0, and x = 3. To find the volume of the object obtained by rotating this region about the x-axis, we can use the method of cylindrical shells.
The height of the cylindrical shell is given by the difference between y = x and y = x + 1, or 1 unit. The radius of the cylindrical shell is given by x. Therefore, the volume of the object is given by:
\begin{align*}
V &= \int_{x=0}^{x=3} \pi x^2 \cdot 1, dx \
&= \pi \int_{x=0}^{x=3} x^2, dx \
&= \pi \left[ \frac{x^3}{3} \right]_{x=0}^{x=3} \
&= \pi \left( \frac{27}{3} - \frac{0}{3} \right) \
&= 9\pi
\end{align*}
So the volume of the object is equal to 9π cubic units.
Divide to find two equivalent fractions 40/10
Two equivalent fractions is 16/4, 100/25
What is an equivalent fraction example?Equivalent fractions are two or more fractions that are all equal even though they have different numerators and denominators. For example, the fraction 1/2 is equivalent to (or the same as) 25/50 or 500/1000. Each time the fraction in its simplest form is 'one half'.
Given here : The two fractions 40/
Now the quotient is 40/10=4
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½
Thus two equivalent fractions here are 16/4,100/25 both will equal to 4
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Chantal draws a polygon with seven congruent sides and angles. name Chantal Shape.Is the shape a regular polygon
A polygon with seven congruent sides and angles is called HEPTAGON. In this case
What is a polygon?A polygon is a two-dimensional closed figure with three vertices, three angles, and at least three straight sides. The words "Poly" and "gon" both mean many and angle, respectively. A triangle, for instance, has three vertices, three sides, and three angles. Therefore, it qualifies as a polygon.
Chantal "draws a polygon with seven congruent sides and angles," according to the statement. Heptagon is the name for a polygon with seven identical sides and angles. This polygon is a regular one because all of its sides and angles are equal. A regular polygon must have equal side lengths and angles by definition.
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Students
does not use
uses
Total
does not use
141
94
Parents
235
a) List the two variables in this table.
b) What is the observational unit?
uses
85
125
210
c) How many students total do not use drugs?
Total
226
219
445
d) What is the total number of student-parent pairs in this study?
Answer:
a) The two variables in this table are "students" and "parents".
b) The observational unit in this study is a student-parent pair.
c) The total number of students who do not use drugs is 141.
d) The total number of student-parent pairs in this study is 445.
Step-by-step explanation:
a) The two variables in this table are "students and parents" who do not use drugs and those who use drugs.
b) The observational unit in this study is a student-parent pair.
c) The total number of students who do not use drugs is 141.
d) The total number of student-parent pairs in this study is 445.
What is an observational unit?An observational unit is described as an entity for which data is collected and analyzed and enables conclusions to be drawn about its characteristics.
An observational unit is assigned a value based on the collected data.
On the other hand, we define a variable as the piece of information being collected from each observational unit.
Does not use Uses Total
Students 141 94 235
Parents 110 100 210
Total 251 194 445
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CAN SOMEONE HELP WITH THIS?✨
The marginal revenue when q = 29 is 510 dollars.
How to find the marginal revenue?To find the marginal revenue we need to differentiate the revenue equation, here we know that:
R(q) = -5q² + 800q
Differentiating that, we will get:
R'(q) = MR(q) = 2*(-5)*q + 800
= -10q + 800
The marginal revenue when q = 29 is
MR(29) = -10*29 + 800 = 510
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3.1 Area under the curve, Part I: Find the probability of each of the following, if Z~N(μ = 0,σ = 1).
(please round any numerical answers to 4 decimal places)
a) P(Z < -1.35) =
b) P(Z > 1.48) =
c) P(-0.4 < Z < 1.5) =
d) P(| Z | >2)
The Probability can be determine using z-Table. The z- table use to determine the area under the standard normal curve for any value between the mean (zero) and any z-score.
a) P(Z < -1.35) =0.8708
b) P(Z > 1.48) =0.5714
c) P(-0.4 < Z < 1.5) =0.000
d) P(| Z | >2)=0.3830
What is z-table?Z-Score Table. A z-table, also known as the standard normal table, provides the area under the curve to the left of a z-score. This area represents the probability that z-values will fall within a region of the standard normal distribution.
Given:
The given condition is Z~N(μ = 0,σ = 1).
(a)
Find the value for .P(Z < -1.35)
Here Z is less than 1 that means Z is negative. So it will lies it lies on left hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
Now,
Thus, the value of .P(Z < -1.35) =0.8708
(b)
Find the value for .P(Z > 1.48)
Here Z is positive. So it will lies it lies on right hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
Now,
Thus, the value of .P(Z > 1.48) =0.5714
(c)
Find the value for .) P(-0.4 < Z < 1.5)
Here Z is positive. So it will lies it lies on right hand side of mid value.
Refer the table of Area Under the Standard Normal Curve.
Now,
Thus, the value of .) P(-0.4 < Z < 1.5) =0.000
(d)
Find the value for .P(| Z | >2)
Here Z is mod of Z, it may be positive or negative. Consider the negative value of Z.
Refer the table of Area Under the Standard Normal Curve.
Consider the positive value of Z.
Refer the table of Area Under the Standard Normal Curve.
Now,
Thus, the value of .P(| Z | >2)=0.3830
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The probability distribution is calculated z-table.
What is z-table?Z-table is also known as standard normal table which is used to find the area under the curve to the left of a z-score.
(a)P(Z<-1.35)
Here Z value negative so it is lies left of the curve, using standard normal table , P(Z<-1.35) = 0.0885
(b)P(Z>1.48)
z value is positive it lies right of the curve, using standard normal table, area under the curve P(Z>1.48)= 0.9306
(c)P(-0.4 < Z < 1.5) = P(Z<1.5) - P(-0.4<Z)
= 0.9332 - 0.3446
= 0.5886
(d)P(| Z | >2), |Z| is both positive and negative we have,
P(| Z | >2) = P(-2 < Z <2)
= P(Z<2) - P(-2<Z)
= 0.9772 - 0.0228
= 0.9544.
Hence, (a)P(Z<-1.35) = 0.0885
(b)P(Z>1.48) = 0.9306
(c)P(-0.4<Z<1.5) = 0.5886
(d)P(|Z|>2) = 1.9544
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Jeff created the following shape to fill with skittles. He also wants to decorate the outside with Skittle wrappers. Find the surface area to determine the number of skittle wrappers he would need to save and volume to determine how the amount of Skittles he could fill it with
Show work please and thank you
The surface area of figure is 784 ft² and the volume of the figure is 576 ft³.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The shape created by Jeff is a cube + square pyramid.
The height of square pyramid is = 3 ft
The sides of cube = 8 ft
The formula for volume of cube = (side)³
Volume of cube = (8)³
Volume of cube = 512 ft³
The formula for volume of square pyramid = (base)² × height / 3
Volume of square pyramid = (8)² × 3/3
Volume of square pyramid = 64 × 1
Volume of square pyramid = 64 ft³
Total volume of the figure -
Volume of cube + Volume of square pyramid
Total volume = 512 + 64
Total volume = 576 ft³
The formula for surface area of cube = 6(side)²
Surface Area of cube = 6 × (8)²
Surface Area of cube = 6 × 64
Surface Area of cube = 384 ft²
The formula for surface area of square pyramid = 6(side)²
Surface Area of square pyramid = (side)² + 2(side) √[{(side)²/4} + (height)²]
Surface Area of square pyramid = (8)² + 2(8) √[{(8)²/4} + (3)²]
Surface Area of square pyramid = 64 + 16 √[{64/4} + 9]
Surface Area of square pyramid = 80 √[16 + 9]
Surface Area of square pyramid = 80 √25
Surface Area of square pyramid = 80 × 5
Surface Area of square pyramid = 400 ft²
Total surface area of the figure -
Surface Area of cube + Surface Area of square pyramid
Total Surface Area = 384 + 400
Total Surface Area = 784 ft²
Therefore, the volume and surface area of the figure is 576 ft³ and 784 ft² respectively.
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5. The table below gives prizes and probabilities of winning (on a single $1 ticket) for the Multi-State Powerball lottery.
Find the expected value of the winnings for a single lottery ticket if the jackpot is $30 million. How much can you expect to win or lose each year if you buy 10 lottery tickets per week? Do you expect to win or lose this exact amount? Explain.
I attached the table
the expected value for the given data set will be 0.423
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, a data set gives prizes and probabilities of winning (on a single $1 ticket) for the Multi-State Powerball lottery.
We have to determine the expected value of winnings when buying one ticket. This can be computed using the expected value formula.
Recall the formula for the expected value E for events A and B whose probabilities of occurring are P(A) and P(B), respectively:
E = (P(A)×value for A)+(P(B)×value for B)
Using the formula above and extending it to 99 events yields:
E(x) = (1/ 292, 201,338 * 30,000,000) + (1 / 11,688,053 * 1,000,000) + (1/913,129 * 50,000) + (1/ 36,525 * 100) + (1/14,494 * 100) + (1/ 580 *7) + (1 /701 * 7) + (1/92 * 4) + (1/ 38 * 4)
E = 0.423
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Suppose a student's grade for a course is weighted and based on three categories homework average, quiz average, and a project average.A) lithe quiz average is 80% of grade and the homework average is 20% of grade, what percentage of Students grade is their project average?B) Ifa student has a homework average of 95, a quiz average of 80, and a project average of 88, what would be students course grade? Round to nearest whole number.
The project average is 100% of the student's grade, and if the student has the given averages, their course grade would be 89%.
The project average is the only component of the student's grade that is not weighted. The homework average accounts for 20% of the grade, while the quiz average accounts for 80%. Therefore, the project average is 100% of the student's grade. If the student has the given averages, then their course grade can be calculated by multiplying the homework and quiz averages by their respective percentages and adding the two products. In this case, the student's course grade would be (95 * 0.2) + (80 * 0.8) + 88 = 89%. The student's course grade would then be rounded to the nearest whole number, which is 89%.
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solve the right triangle!!!
The value of a and c in the right triangle are 38.28 and 66.89 respectively.
What is an equation?An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents
Trigonometric ratio is used to show the relationship between the sides and angles of a right angle triangle.
From the diagram:
sin(55.0892) = 54.855/c
c = 66.89
Also:
tan(55.0892) = 54.855/a
a = 38.28
The value of a and c are 38.28 and 66.89 respectively.
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Which of the following is assumed for establishing the unbiasedness of Ordinary Least Square (OLS) estimates? A. The error term has an expected value of 1 given any value of the explanatory variable. B. The regression equation is linear in the explained and explanatory variables. C. The sample outcomes on the explanatory variable are all the same value. D. The error term has the same variance given any value of the explanatory variable.
The regression equation is linear in the explained and explanatory variables.
In order for Ordinary Least Squares (OLS) estimates to be unbiased, the regression equation must be linear in both the explained and explanatory variables. This means that the relationship between the dependent variable (what is being explained) and the independent variables (what is being used to explain the dependent variable) must be linear. This is important because it ensures that the estimated coefficients of the regression equation accurately reflect the true relationship between the variables. Additionally, the error term must have an expected value of 0, given any value of the explanatory variable, and have the same variance given any value of the explanatory variable. This ensures that the estimated coefficients do not suffer from bias and that the OLS estimates are unbiased.
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Find the values of x and y
Answer:
x = 22
y = 59
Step-by-step explanation:
You want the values of x and y as shown in the figure where angles (2x)° and (y-15)° are vertical angles, and (2x)° and (2x+2)° are complementary.
Complementary anglesTwo angles are complementary when their sum is 90°.
(2x)° +(2x+2)° = 90°
4x = 88 . . . . . . . . . . . divide by °, subtract 2
x = 22
Vertical anglesVertical angles have the same measure:
(2x)° = (y -15)°
2·22 = y -15 . . . . . . divide by °, substitute for x
59 = y . . . . . . . . . add 15
The value of x is 22.
The value of y is 59.
(b) In a continuous series, the average marks of some students is 40 and the sum of their marks (Efm) is 2000. Then find the number of students. श्रेणीहरुको औसत प्राप्ता 40 र तिनीहरूको
Answer:
50
Step-by-step explanation:
To find the number of students, we can use the formula: average = (sum of marks) / (number of students).
Substituting the given values: 40 = 2000 / number of students
Solving for the number of students: number of students = 2000 / 40 = 50
So, there are 50 students in the series.
A triangle has a base of 14 inches and a height of 11 inches find the area
Answer:
... correct answer is 77 inches...
Answer:
A = 77 inches squared
Step-by-step explanation:
To find the area of a triangle, we use the formula
A = 1/2 bh where b is the base and h is the height
A = 1/2 (14) * 11
A = 77 inches squared
1. Cisco Enterprises in Ontario purchased the following in a single month all-inclusive of taxes:
• 16,000 units of network routers at $79.25 each
• 12,000 units of wireless LAN adapters at $129.95 each
• 13,500 units of computer boards at $229.15 each
Assuming all purchases are taxable, calculate the total tax amount the company paid on their purchases only. Round off to 2 decimal places only.
The total tax that the business paid on its purchases only was 769720.25.
How should tax be defined?In order to pay for general public institutions, goods, and activities, local, state, and federal governments must collect mandated payments or charges from citizens and corporations.
We must first figure out the complete cost of the goods in order to determine the total taxable income the corporation paid
The cost of the 16,000 network routers is:
16,000 units x $79.25/unit = $1,268,000
The cost of the 12,000 wireless LAN adapters is:
12,000 units x $129.95/unit = $1,559,400
The cost of the 13,500 computer boards is:
13,500 units x $229.15/unit = $3,092,025
The total cost of all purchases is:
$1,268,000 + $1,559,400 + $3,092,025 = $5,919,425
To calculate the total tax amount, we need to multiply the total cost by the tax rate. Assuming a tax rate of 13%, the total tax amount is:
$5,919,425 x 0.13 = $768,527.25
Therefore, the total tax amount that the company paid on their purchases only is $768,527.25, rounded off to 2 decimal places.
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simplify fully
(x^2 +4)^2 - (x^2 - 2)^2
Answer:
12x^2 + 12
Step-by-step explanation:
1. Remove the parentheses:
x^4 + 8x^2 + 16 - x^4 + 4x^2 - 4
2. Cancel out terms:
8x^2 + 16 + 4x^2 - 4
3. Combine like terms:
12x^2 + 12
I need the answer to this math problem
20pts!!
Answer:
9
Step-by-step explanation:
9 makes it so that each set becomes a whole number.
Factor the following expression completely. 12xy-15x-20y+25
The required, given expression is completely factored as (4y -5)(3x - 5).
What is the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
To factor the expression 12xy - 15x - 20y + 25, we can use the distributive property to factor out a common factor from each of the first two terms and the last two terms:
12xy - 15x - 20y + 25
= (12x)(y) - (15x)(1) - (20)(y) + (5)(5)
= (3x)(4y) - (5)(3x) - (4)(5y) + (5)(5)
= 3x(4y - 5) - 5(4y - 5)
= (4y -5)(3x - 5)
So, the expression is completely factored as, (4y -5)(3x - 5).
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GIVING BRAILIEST TO THOSE WHO ANSWER CORRECT AND TRY. please help! thanks
Answer:
the answer is A
Step-by-step explanation:
use the formula y=mx+b
25.95 is the slope because its a constant arte of change and 50 is the y-intercept because you gain $50 in addition to the slope
Answer:
y=25.95x+50
Step-by-step explanation:
25.95 is the dependent variable, so it is the coefficient. The starting amount, or the y-intercept, is 50. This makes the equation y=25.95x+50.
If m∠1=95°, find the measure of ∠8
Answer:
If m∠1=95°, then m∠8 can be found by using the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. In this case, m∠8 = 180 - (m∠1 + m∠3) = 180 - (95° + 55°) = 30.
A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 40 thousand miles and a standard deviation of 12 thousand miles. Complete parts (a) through (c) below.
Question content area bottom Part 1
a. What proportion of trucks can be expected to travel between 23 and 40 thousand miles in a year? The proportion of trucks that can be expected to travel between 23 and 40 thousand miles in a year is enter your response here. (Round to four decimal places as needed.)
b. What percentage of trucks can be expected to travel either less than 30 or more than 60 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 30 or more than 60 thousand miles in a year is enter your response here%. (Round to two decimal places as needed.)
c. How many miles will be traveled by at least 90% of the trucks?
The number of miles that will be traveled by at least 90% of the trucks is enter your response here miles. (Round to the nearest mile as needed.)
Therefore, standard deviation problem solution is at least 90% of the trucks can be expected to travel 55,36 miles or less per year.
What is Standard deviation?Statistics uses variance as a gauge of difference. The following equation of that number is used to determine the average variance in between data and the mean. It includes all data points in with its computations, in contrast to other numeric measures of variability, by comparing the value of each data point to the mean.
Here,
a.
z1 = (23 - 40) / 12 = -1.42
z2 = (40 - 40) / 12 = 0
P(-1.42 < z < 0) = 0.4199
So, approximately 0.4199 or 41.99% of trucks can be expected to travel between 23 and 40 thousand miles in a year.
b.
z1 = (30 - 40) / 12 = -0.83
z2 = (60 - 40) / 12 = 1.67
P(z < -0.83) + P(z > 1.67) = 0.2023 + 0.0475 = 0.2498
So, approximately 24.98% of trucks can be expected to travel either less than 30 or more than 60 thousand miles in a year.
c. Thus:
x = 40 + 1.28(12) = 55.36
So, standard deviation problem solution is at least 90% of the trucks can be expected to travel 55,36 miles or less per year.
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Someone than Can solve this pleaseeee:)
The value of the functions are (f o g) (2) = 0 and (g o f) (2) = 4.
What are functions?
In mathematics, a function is an expression, rule, or law that specifies the relationship between an independent variable x and a dependent variable y.
y and x are related in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x). In other words, for the same x value, there cannot be more than one value for f(x).
We are given two functions, f(x) and g(x).
Their graphs are also given.
We are asked to solve the following questions using the given graphs.
1) (f o g) (2) = f( g(2) )
To solve this we have to first start with inner functions.
g(2) = value of y when x = 2
From the g(x) graph it is given that g(2) = 2 when x = 2
Now we substitute this in f( g(2) )
i.e f(2) = value of y when x = 2 = 0
From the f(x) graph it is given that f(2) = 0 when x = 2.
So (f o g) (2) = 0
2) (g o f) (2) = g( f(2) )
f(2) = 0 ( as mentioned above)
Substituting,
g( f(2) = g (0) = 4
So (g o f) (2) = 4
Therefore the value of the functions are (f o g) (2) = 0 and
(g o f) (2) = 4.
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find the lengths of the legs of a right triangle if it is known that sum of the lengths is 23cm, and the area of the triangle is 60cm^2
Answer:
15 and 8
Step-by-step explanation:
Let the legs be a, b
a+b=23
ab=120
Then, 23b-b^2=120. so b^2-23b+120=0. Thus (b-8)(b-15)=0. Thus b=8,15, and if b=8, then the other length a is 15.
The value of a car in 2000 was $32,000 and it is decreasing in value at a rate of 16.3% per year.
a.) Write an equation that represents the situation for any amount of time from 2000.
b.) How much will the car be worth in 2035?
Answer:
see below
Step-by-step explanation:
a. amount of time = t
Value = 32000*(1-16.3%)^t
b. in 35 years Value = 32000*(1-16.3%)^35 = 63.17
Unit rates have a denominator with what number?
In a unit rate, the denominator is always 1.