To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the amount of money after t years, P is the principal amount, r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.
For Tanisha's account, we have:
A = 130(1 + 0.0321/1)^(1*18) = 256.64
For Julieta's account, we have:
A = 130(1 + 0.03743/12)^(12*18) = 300.80
The difference between the two amounts is:
300.80 - 256.64 = 44.16
So, Julieta would have $44 more than Tanisha after 18 years, to the nearest dollar.
which equation best matches the graph shown below ?
Determine which expression is equivalent to n x 3
Answer:
F
Step-by-step explanation:
4y-5x=-8
-Step-by-step answer
-Solve for y
-I know the answer I just need the problem solved step-by-step
Answer:
4y−5x=−8
Step 1: Add -4y to both sides.
−5x+4y+−4y=−8+−4y
−5x=−4y−8
Step 2: Divide both sides by -5.
−5x
−5
=
−4y−8
−5
x=
4
5
y+
8
5
Answer:
x=
4
5
y+
8
5
Step-by-step explanation:
Two sides of a right triangle have lengths of 72 cm and 97 cm. The third side is not the hypotenuse. How
long is the third side?
45 cm
A
B
121 cm
65 cm
25cm ???
can someone help pls
Answer:
23.2
12
..........................................
80 divided by 192.0!!!!!!!!!!!!!!!
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
What is the slope of the linear relationship shown on the graph?
4/3
-4/3
3/4
-3/4
The slope of the linear graph is - 4 / 3.
How to find the slope of a linear graph?The slope of a linear graph is the change in the dependent variable with respect tot he change in the independent variable.
The slope is describe as rise over run.
Therefore, the slope can be represented mathematically, as follows;
Hence,
slope = y₂ - y₁ / x₂ - x₁
Therefore, using (0, -2) and (- 3 / 2, 0)
x₁ = 0
x₂ = - 3 / 2
y₁ = - 2
y₂ = 0
Therefore,
slope = 0 + 2 / - 3 / 2 - 0
slope = 2 ÷ - 3 / 2
slope = 2 × 2 / -3
Therefore,
slope = - 4 / 3
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if one response is selected at random, what is the probability the response indicated that the dog is small-sized given that they enjoyed the treat? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability that the response indicated that the dog is small-sized given that they enjoyed the treat is 0.286 (or 2/7) in fraction in the lowest terms.
What is Bayes' theorem?Bayes' theorem is used to update probabilities of a hypothesis or an event in light of new data or evidence. It is used to calculate the conditional probability of an event based on prior knowledge of the conditions that might be relevant to the event.In the given problem, we have to find the probability that the response indicated that the dog is small-sized given that they enjoyed the treat.
The probability that the dog is small-sized given that they enjoyed the treat is the conditional probability P(S|T), where S is the event that the dog is small-sized and T is the event that they enjoyed the treat. To find the value of P(S|T), we will use Bayes' theorem. Bayes' theorem states that P(S|T) = P(T|S) * P(S) / P(T) where P(T|S) is the probability that they enjoyed the treat given that the dog is small-sized, P(S) is the prior probability that the dog is small-sized, and P(T) is the probability that they enjoyed the treat.
P(S) = 3/7P(T|S) = 2/3P(T) = (2/3 * 3/7) + (1/4 * 4/7) = 18/84 + 4/28 = 1/3
(adding the probabilities of T given S and T given L)Therefore, P(S|T) = (2/3 * 3/7) / (1/3) = 2/7 = 0.285714...Rounding off to the nearest millionth, the probability is 0.286. Therefore, the probability that the response indicated that the dog is small-sized given that they enjoyed the treat is 0.286 (or 2/7) in fraction in the lowest terms.
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3 3.1. Find the Laplace transform of 3.1.1. L{3 + 2t - 4t^3} 3.1.2. L{cosh^23t) 3.1.3. L{3t^2e^-2t)
The Laplace transform of 3 + 2t - 4t³ is 3/s + 2/s² - 24/s⁴, the Laplace transform of cosh²³t is s/(s²-9), and the Laplace transform of 3t²e(-2t) is 6(s+2)⁻³.
To find the Laplace transform of 3 + 2t - 4t³, we can apply the linearity property of the Laplace transform. The Laplace transform of a constant is simply the constant itself. The Laplace transform of t is 1/s², where s is the complex frequency variable. The Laplace transform of t³ can be obtained using the power rule, which states that the Laplace transform of tⁿ is n!/s(n+1), where n is a positive integer.
3.1.1. L{3 + 2t - 4t³}
L{3 + 2t - 4t³} = 3L{1} + 2L{t} - 4L{t³}
= 3/s + 2/s² - 4(3!)/s⁴
= 3/s + 2/s² - 24/s⁴
3.1.2. L{cosh²³t}
Since the Laplace transform of cosh(at) is s/(s²-a²), we can apply this formula with a = 3 to get:
L{cosh²³t} = s/(s²-3²) = s/(s²-9)
3.1.3. L{3t²e(-2t)}
Using the rule for the Laplace transform of tⁿe(at), which is n!(s-a)⁻(n+1), we substitute n = 2 and a = -2:
L{3t²e(-2t)} = 3(2!)(s-(-2))⁻³
= 3(2!)(s+2)⁻³
= 6(s+2)⁻³
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Cristiano has 42 apples in his bag and his brother has only 16. How many apples should Cristiano give his brother so they both have the same number of apples?
Answer:
13
Step-by-step explanation:
Total number of apples: 42 + 16 = 58
For each brother to have the same number of apples: 58/2 = 29 apples each
Therefore, to calculate the number of apples Cristiano has to give his brother, subtract 29 from the original number of 42 apples:
42 - 29 = 13
Answer:
Cristiano gave 13 apples to his brother.Step-by-step explanation:
We know that:
Cristiano = 42 applesCristiano's brother = 16 applesSince Cristiano has more apples than his brother, Cristiano must give his apples to his brother. Let's name Cristiano as C and his brother as B.
=> C - x = B + x=> 42 - x = 16 + x=> 42 + 16 = x + x=> 58 = 2x=> x = 29This means that when Cristiano has equal apples to his brother, they will have 29 apples.
=> 42 - 29 = Apples given by Cristiano.=> 13 = Apples given by CristianoHence, Cristiano gave 13 apples to his brother.
Mathematicians construct viable arguments and
critique the reasoning of others. Lia claims that
whenever an even number is divided by 2, the quotient
always ends in 1. That is not correct. Critique her
reasoning. What counterexamples can you come up
with? In other words, what are some even numbers tha
when divided by 2, the result does not end in 1?
Lia's claim that whenever an even number is divided by 2, the quotient always ends in 1 is not correct.
In fact, when an even number is divided by 2, the result will always be another even number. This means that the result will either end in 0, 2, 4, 6, or 8, but never in 1.
For example, if we divide the even number 14 by 2, we get a quotient of 7, which ends in 7 and not in 1. Similarly, if we divide the even number 100 by 2, we get a quotient of 50, which ends in 0 and not in 1. Therefore, there are many counterexamples to Lia's claim that an even number divided by 2 always ends in 1.
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Find the value of x.
Answer:
x=20°
Step-by-step explanation:
X and Z are inscribed with the same arc (40°)
so the value of x and z are the same
X=Z
Z=1/2(inscribed arc)
Z=1/2(40°)
z=20°..... since z=x
X=20°
help again...brainliest
Answer:
A.
Step-by-step explanation:
Atom is the smallest thing g possible and organ is the biggest on that list.
What is the slope between point A (-9, 4) and B ( 3, -2)
I NEED HELP ASAP
a)1/2
b)-1/2
c)2
d)-2
e)3/2
Slope can be calculated using the formula: m= \(\frac{y2 - y1}{x2 - x1}\)
y1/x1 represents the first number in the bracket
y2/x2 represents the second number in the bracket
Calculation
m = \(\frac{y2 - y1}{x2 - x1}\)
m =\(\frac{4 - (-2)}{(-9)-3}\)
m= 6/-12
m= -0.5 or -1/2
Therefore, the answer is B.
Kendall has only quarters and dimes in her pocket. The total value of these coins is $1.50. The equation below can be used to find q, the number quarters, and d, the number of dimes in her pocket. If Kendall has 4 quarters in her pocket, how many dimes are in her pocket? 25g + 10d = 150
Answer: We can use the equation to find the number of dimes in Kendall's pocket:
25g + 10d = 150
25 * 4 + 10d = 150
100 + 10d = 150
10d = 50
d = 5
So Kendall has 5 dimes in her pocket.
Step-by-step explanation:
How do you calculate this?
Answer:
hdwhdbehqj
Step-by-step explanation:
223499
3344rbjee
The markup for both swing sets is 2014% . The school decides to buy the Adventurers swing set. What is the selling price of the swing set they are buying? Round to the nearest cent if necessary.
If the markup for both swing sets is 20 1/4% . The school decides to buy the Adventurers swing set. The selling price of the swing set they are buying is: $3,674.84.
What is selling price?Selling price can be defined as the amount a person intend to sell his/her product or the amount a buyer intend to buy a product.
Given data:
Adventurers selling price = $3056
Thunder Ridge = 4,125
Markup 20 1/4% = 20.25 %
First step is to find markup
Markup = 20.25% × 3056
Markup = $618.84
Now let find the selling price of the swing
Selling price = $3056 + $618.84
Selling price = $3,674.84
Therefore the selling price is the amount of $3,674.84.
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The complete question is:
An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying
Swing Set
Wholesale Price ($)
Adventurers 3,056
Thunder Ridge 4,125
The markup for both swing sets is 20 1/4%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they
are buying? Round to the nearest cent if necessary,
in square $abcd$ with sides of length 4 cm, $n$ is the midpoint of side $bc$ and $m$ is the midpoint of side $cd$. what is the area of triangle $amn$, in $\text{cm}^2$?
the area of triangle $AMN$ is 8 square cm.
To find the area of triangle $AMN$, we need to determine the lengths of its base and height.
In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.
Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.
Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.
$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.
Therefore, the area of triangle $AMN$ is given by:
$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.
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-2+3y=9 ; y=2x+7 i need help
Answer:
Here is your 2 answers.
Step-by-step explanation:
First question: -2+3y=9
step 1 simplify first so now it's 3y-2
step 2 add both sides by 2 now its 3y=11
step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer
Second question:
I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options. Positive slope negative slope constant slope increasing function decreasing function.
The relationship between the number of balloons remaining and the number of hats created is 5x + y = 500.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Describe the line representing the relationship between the number of balloons remaining and the number of hats created.
The points are (0, 500) and (100, 0).
Let y be the relationship between the number of balloons remaining and x be the number of hats created.
Then the relation is given as
\(\rm y = mx +c\)
The line passing through (0, 500). Then
\(\rm 500 = m(0) +c\\\\c \ \ \ =500\)
Then the equation will be
\(\rm y = mx + 500\)
The line passing through (100, 0). Then
\(\rm 0 = 100m + 500\\\\m = -5\)
Thus, the equation of a line is 5x + y = 500.
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Simplify: 4x(x² - 3x + 1)
Answer:
\(4x\left(x^2-3x+1\right)\)
\(Distribute\:parentheses\)
\(=4xx^2+4x\left(-3x\right)+4x\cdot \:1\)\(\mathrm{Apply\:minus-plus\:rules}\)
\(+\left(-a\right)=-a\)\(=4x^2x-4\cdot \:3xx+4\cdot \:1\cdot \:x\)\(Simplify\)
\(=4x^3-12x^2+4x\)----------------------------hope it helps...have a great day!!The area width is 9ft the total is 27ft
Answer:
3ft
Step-by-step explanation:
because 9 times 3 equal 27
A cone-shaped container has a height of 240 in. And a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in³ per week. How many weeks will it take for all of the chemical to evaporate? use 3. 14 to approximate pi. Enter your answer in the box.
Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.
To calculate the volume of a cone, we can use the formula:
\(Volume = (1/3) * π * r^2 * h\)
Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:
\(Volume = (1/3) * 3.14 * 150^2 * 240\)
Simplifying the equation:
Volume = 3.14 * 22500 * 240
Volume ≈ 16988400 cubic inches
Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:
Number of weeks = Volume / Evaporation rate
Number of weeks = 16988400 / 12000
Number of weeks ≈ 1415.7 weeks
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If lunch cost $15.70, before tip, and you left $3.14, what %
tip did you leave and what was the total cost of lunch?
Answer:
20%
$18.84
Step-by-step explanation:
3.14 is what percent of 15.70?
Use the percent-to-dollar conversion (100: 15.70) :
3.14 * 100% / 15.70 =
3.14 / 15.70 * 100% =
1/5 * 100% =
100% / 5 = 20% ==> percent tip
$15.70 + $3.14 = $18.84 ==> Total cost
this is difficult please help I need to know the answer I give more point pls help.
Answer:
decagon
Step-by-step explanation:
all angles measure 360, divide by 10 sides, answer is 36. lmk if you need a more in depth explanation
Please simplify step by step:
5/4a - 2/3b
Step-by-step explanation:
I guess the simplification is aiming to bring both terms into one fraction with the same denominator (bottom part).
and I assume this expressing is actually
(5/4)×a - (2/3)×b
or
simply
5a/4 - 2b/3
if that is so, then :
the common denominator is the smallest (or lowest) common multiple of 4 and 3.
and that is here simply 12 (there is no smaller number that can both be divided by 4 and by 3 without remainder).
so, we need to bring both fractions to .../12 and then combine them.
how do I do that ?
I multiply each fraction with another fraction that has the overall value 1 (to and bottom numbers are equal) but changes the denominator to 12.
that way I don't change the value of the original fraction, but I only change is appearance.
so, what do I need to multiply 4 with to get 12 ?
right, 3.
that gives us
5a/4 × 3/3 = 3×5a/(4×3) = 15a/12
and what do I need to multiply 3 with to get 12 ?
right, 4.
2b/3 × 4/4 = 4×2b/(3×4) = 8b/12
alright !
now we write the original expression using its new looks :
15a/12 - 8b/12
and that is
(15a - 8b)/12
alternative :
what if the typing was actually correct, and we are dealing with
5/(4a) - 2/(3b)
we still need to bring both fractions to the same denominator.
we know the smallest common multiple of 4 and 3 is 12.
and the smallest common multiple of a and b is ... ab.
so, we need to bring everything the fractions of the form .../(12ab)
again, the same trick, we multiply with fractions of value 1 (to and bottom are equal) but that cover the denominator to the desired common denominator.
what do I need to multiply 4a with to get 12ab ?
well, 3b
so, we get
5/(4a) × 3b/(3b) = 5×3b / (4×3ab) = 15b/(12ab)
and what do we need to multiply 3b with to get 12ab ?
well, 4a.
2/(3b) × 4a/(4a) = 2×4a / (3×4ba) = 8a/12ba = 8a/(12ab)
and together this gives us
(15b - 8a)/(12ab)
The Spring Break-Inn Hotel is trying to make plans for the spring break season. They must decide on the number of beds to place in each room in order to maximize profit. They can put 1, 2, or 3 beds in any room and realize a profit of $90, $115, or $180 respectively. They have a total of 200 beds and 100 rooms available. They would like to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1.
The decision variables for this model would be:
Let X1 = the number of 1 bedroom rentals
Let X2 = the number of 2 bedroom rentals
Let X3 = the number of 3 bedroom rentals
What would be the constraint(s) to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1?
X3 <= 4X2
3X3 <= 4X2
X2 <= 4X3
2X2 <= 4X3
None of these
The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:
3X3 <= 4X2
This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.
For example, if there are 10 2 bedroom rentals (X2), the constraint would be:
3X3 <= 4(10)
3X3 <= 40
This means that the number of 3 bedroom rentals (X3) cannot exceed 40.
The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.
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The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases. Suppose the 13 cases reported today are representative of all complaints.How many of the problems would you expect to be resolved today? (Round your answer to 2 decimal places.)What is the standard deviation? (Round your answer to 4 decimal places.)What is the probability 10 of the problems can be resolved today? (Round your answer to 4 decimal places.)What is the probability 10 or 11 of the problems can be resolved today? (Round your answer to 4 decimal places.)What is the probability more than 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)
The expected number of problems to be resolved today is 10, the standard deviation is 1.3693, the probability that 10 problems can be resolved today is 0.2146, the probability that 10 or 11 problems can be resolved today is 0.3246, and the probability that more than 8 problems can be resolved today is 0.816.
To answer these questions, we will use the binomial distribution since we are dealing with a fixed number of independent trials (the 13 cases reported) with only two possible outcomes (resolved or not resolved).
Let's start with the first question:
Expected number of problems resolved today:
E(X) = n * p = 13 * 0.75 = 9.75
So we would expect about 9.75 problems to be resolved today, but since we cannot have a fraction of a problem, we should round this to 10.
Now let's move on to the second question:
Standard deviation:
σ = sqrt(np(1-p)) = sqrt(13 * 0.75 * 0.25) = 1.3693 (rounded to 4 decimal places).
For the third question:
Probability that 10 of the problems can be resolved today:
P(X=10) = (13 choose 10) * (0.75)^10 * (1-0.75)^(13-10) = 0.2146 (rounded to 4 decimal places).
For the fourth question:
Probability that 10 or 11 of the problems can be resolved today:
\(P(X=10 or X=11) = P(X=10) + P(X=11) = (13 choose 10) * (0.75)^10 * (1-0.75)^(13-10) + (13 choose 11) * (0.75)^11 * (1-0.75)^(13-11) = 0.3246 (rounded to 4 decimal places).\)
For the fifth question:
Probability that more than 8 of the problems can be resolved today:
P(X>8) = 1 - P(X<=8) = 1 - (P(X=0) + P(X=1) + ... + P(X=8))
\(= 1 - ∑(13 choose i) * (0.75)^i * (1-0.75)^(13-i), for i=0 to 8.\)
= 1 - 0.0003 - 0.0033 - 0.0191 - 0.0672 - 0.1562 - 0.2529 - 0.2897 - 0.2072 - 0.0881
= 0.816 (rounded to 4 decimal places).
Therefore, the probability more than 8 of the problems can be resolved today is 0.816 (rounded to 4 decimal places).
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stamina 15. how many sides would there be in a convex polygon if the sum of all but one of its interior angles is ?
Interior Angle is 180n = 375 - x in given question.
What is Angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
To determine the number of sides in a convex polygon given the sum of all but one of its interior angles, we can use the formula:
Sum of interior angles = (n - 2) * 180 degrees,
where n represents the number of sides in the polygon.
In this case, the sum of all but one of the interior angles is missing, so we need to subtract one interior angle from the total sum before applying the formula.
Let's denote the missing interior angle as x. Therefore, the sum of all but one of the interior angles would be the total sum minus x.
Given that the stamina is 15, we can express the equation as:
(15 - x) = (n - 2) * 180
Simplifying the equation, we have:
15 - x = 180n - 360
Rearranging the terms:
180n = 15 - x + 360
180n = 375 - x
Now, we need more information or an equation to solve for the number of sides (n) or the missing interior angle (x).
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Please help.
Graph RST with vertices R(4,1), S(7,3), and T(6, 4) and its image after the glide reflection.
Translation: (x,y) →(x, y-1)
Reflection: in the y -axis.
Answer:
Points R(4,1) S(7,3) T(6,4) after translation
R(4-3, 1) S(7-3, 3) T(6-3, 4)
R'(1, 1) S'(4, 3) T'(3, 4)
Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection
R''(1, -3) S''(4, -5) T''(3, -6)
Step-by-step explanation:
Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...