Well, there is actually a formula for this kind of exercises:
n is the price the land had in the third year year
2500=n-nx0.6
2500=n(1-0.6)
2500=nx0.4
n=2500:0.4
n=6250
m is the price the land had in the second year
6250=m-mx0.6
6250=m(1-0.6)
6250=nx0.4
p=6250:0.4
p=15625
p is the price the land had in the first year
15625=p-px0.6
15625=p(1-0.6)
15625=px0.4
p=15625:0.4
p=39,062.5 <- this should be your answer. Hope this helps.
The grasshopper jumps either one block to the north, or one block to the west. He needs to reach the point that is located four blocks west and three blocks north of his current position. The grasshopper needs to avoid two dangerous intersections. The first intersection is one block west and one block north of his current position, and the second intersection is two blocks west and two blocks north of his current position. In how many ways can the grasshopper reach the desired destination?
Please help, im kinda new here, so I need answers immediately, I hope brainy doesn't fail me!
Answer:
The number of ways the grasshopper can reach the desired destination are 9 ways
Step-by-step explanation:
The directions in which the grasshopper can jump are;
One block north and one block west
By counting, we have;
The number of possible ways are through blocks
1) 1, 2, 5, 6, 8, 10
2) 1, 2, 5, 6, 8, 9
3) 1, 2, 5, 6, 7, 9
4) 1, 2, 3, 6, 8, 10
5) 1, 2, 3, 6, 8, 9
6) 1, 2, 3, 6, 7, 9
7) 1, 2, 3, 4, 7, 9
8) 15, 14, 16, 12, 11, 10
9) 12, 13, 16, 12, 11, 10
Therefore, there 9 ways the grasshopper can reach the desired destination.
Answer:
9
Step-by-step explanation:
If the length of a rectangle in terms of x is x2 + 2x + 5, and its width is 2x + 3, what is the perimeter of this rectangle?
Answer:
6x
Step-by-step explanation:
Perimeter of rectangle is \(2x^{2} +8x+16\).
What is perimeter of rectangle?The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.
Given
Length of a rectangle in terms of x = \(x^{2} +2x+5\)
Width of a rectangle in terms of x = \(2x+3\)
Perimeter of rectangle = 2(length + width)
P = \(2(x^{2} +2x+5 + 2x+3)\)
P = \(2(x^{2} +4x+8)\)
P = \(2(x^{2} )+2(4x)+2(8)\)
P = \(2x^{2} +8x+16\)
Hence, Perimeter of rectangle is \(2x^{2} +8x+16\).
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The rate in the interest formula is given as a percentage, but it must be changed to a
plss helpp, its due soon...
Answer:
no, x = -6y+30 is the right answer
Step-by-step explanation:
consolidated builders has bid on two large construction projects. the company president believes that the probability of winning the first contract (event a) is 0.6, that the probability of winning the second (event b) is 0.5, and that the joint probability of winning both jobs (event {a and b}) is 0.4. what is the probability of the event {a or b} that consolidated will win at least one of the jobs?
The probability of an event {a or b} is 0.7
Probability: It is the branch of mathematics concerning numerical, descriptions of how likely an event is to occur or how likely it is that a proposition is true. the probability of an event is a number between
0 and 1.
if the two events a and b are mutually exclusive then the addition rule of probability is:
P( a or b) = P(a) + P(b) - P(a∩ b)
Given that,
P(a) = 0.6 P(b) = 0.5
P(a ∩ b)= 0.4
According to probability methods, if two events are mutually exclusive, then the probability of either occurring is denoted as P (a ∪ b).
Now, we know that,
P( a ∪ b) = P(a) + P(b) - P( a ∩ b)
= 0.6 + 0.5 - 0.4
= 0.7
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89 divide 8 in decimal
65 432m vuông = .........ha
765 000m vuông = ............ha
80 hm = .........km vuông
907 hm = ...........km vuông
giúp e với
Answer:
Step-by-step explanation:
they won't understand bạn hỏi trên hoidap247 đúng không :)
c + 20 - 13 = 100 im doing a test i need help
Answer:
c is 93
Step-by-step explanation:
work backwards to get c
100 + 13= 113
113-20= 93
so your answer is 93
Brianna has a balance of $8,000 on her credit card. After talking to a financial advisor, Brianna decided to get a loan from the bank and discontinue using her credit card. The bank will charge Brianna 3.5% interest. Which of the following could be used to calculate the total repayment on Brianna’s loan after 4 years if she has a monthly payment of $178.85?
A. 4(178.85)
B. 4(12)(178.85)
C. 4(12)(178.85) − 8000
D. 4(8000)(0.035)
The sum of the squares of two consecutive even integers is 1684. Find the integers.
The possible values of two consecutive even integers, of which the sum of their squares is 1684, are 28 and 30 for positive integers, while for negative integers, they are -28 and -30.
The difference between two consecutive even integers is 2.
Let the integers be a and (a+2). Then,
a² + (a + 2)² = 1684
a² + a² + 4a + 4 = 1684
2a² + 4a - 1680 = 0
a² + 2a -840 = 0
Hence, we get a quadratic equation.
There are three methods of solving a quadratic equations: by factoring, completing the square, and by using the abc formula.
Use the factoring method:
a² + 2a -840 = (a - 28) (a + 30)
a = 28 and a = -30
Hence, if the integers are positive, they are: 28 and 30.
If the integers are negative, they are -28 and -30.
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4 separate circles and 2 are shaded in what is the fraction
The fraction of shaded circles is 1/2. A fraction where the numerator represents the number of shaded circles and the denominator represents the total number of circles.
If there are four separate circles and two of them are shaded, we can represent this as a fraction where the numerator represents the number of shaded circles and the denominator represents the total number of circles.
So the fraction of shaded circles would be:
2/4
This fraction can be simplified by dividing the numerator and denominator by their greatest common factor, which is 2:
2/4 = 1/2
Therefore, the fraction of shaded circles is 1/2.
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The cost of tennis lessons varies directly with
the number of lessons given. Gustavo spends
$260 on four lessons. What would be the cost
for nine tennis lessons?
Answer:
solve this
Step-by-step explanation:
260*9/4
pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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Find T,N, and κ for the following space curve. r(t)=(8cos ^3 t)i+(8sin ^3 t)j for 0≤t≤ π/2
T=(i+()j (Type exact answers, using radicals as needed.) N=()i+()j (Type exact answers, using radicals as needed.) κ= (Type an exact answer, using radicals as needed.)
The tangent vector T = (i + 3sin(t)cos^2(t))j, N = (-3sin^2(t)cos(t))i + (1 - 3sin^2(t))j, κ = 6cos(t)sin(t) / (9cos^4(t) + 9sin^4(t) - 4cos^2(t)sin^2(t))^(3/2)
The tangent vector, T, normal vector, N, and curvature, κ, for the space curve r(t) = (8cos^3 t)i + (8sin^3 t)j for 0 ≤ t ≤ π/2 are as follows:
T = (i + 3sin(t)cos^2(t))j
N = (-3sin^2(t)cos(t))i + (1 - 3sin^2(t))j
κ = 6cos(t)sin(t) / (9cos^4(t) + 9sin^4(t) - 4cos^2(t)sin^2(t))^(3/2)
To find the tangent vector, we differentiate r(t) with respect to t and normalize it to get T.
To find the normal vector, we differentiate T with respect to t, divide it by its magnitude, and multiply by -1 to get N.
To find the curvature, we use the formula κ = ||dT/dt|| / ||dr/dt||, where || || denotes the magnitude. We calculate the derivatives and substitute them into the formula to obtain κ.
Note that the exact values for T, N, and κ involve trigonometric functions and radicals, as shown in the expressions above.
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GUYS I NEED HELP FAST PLEASE
Answer:
Q1, x=2 and all sides equal 8
Q2, x=3, MN and MP equal 10 and NP equals 8
Step-by-step explanation:
On an equilateral triangle all sides are equal
6x-4=3x+2
6x=3x+6
3x=6
x=2
6x-4
6(2)-4
12-4
8
On a isosceles triangle the two long sides are equal
4x-2=5x-5
4x=5x-3
-x=-3
x=3
4x-2
4(3)-2
12-2
10
3x-1
3(3)-1
9-1
8
arrange 4/8 3/4 8/12 11/16 in ascending order
Answer:
8/12, 11/16, 3/4, 4/8
Step-by-step explanation:
hope this helps
Please help! I will give Brainliest!
Answer:
p(not L) = 7/8, 0.875, 87.5%
Step-by-step explanation:
8 letters in total
7 are not L
p(not L) = 7/8, 0.875, 87.5%
who’s is combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm?
0.338 is the answer
hope this helped
Based on the information, the combined thickness will be 0.3338.
From the information given, we are told to find the combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm.
This simply means that we need to add the decimals. This will be:
= 0.008 + 0.125 + 0.15 + 0.185 + 0.005
= 0.3338 cm
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Need some help with that
The work done in each of the cases is:
B) W = 8,400 N*m
C) W = 17,500 N*m
How to find the work done?The work can be defined by the product between the force and the distance translated.
W = Force*Distance
So, if there is a force of 120N and the vehicle moves 70 meters, the work done is:
W = 120N*70m = 8,400 N*m
C) Similar case to the above one, here the force is F = 3.5 KN = 3,500N
And the distance is d = 15m
Then in this case the work done is:
W = 3,500N*15m = 17,500 N*m
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What is the answer to this problem ?
Answer:
2(x + 6) = 38
Step-by-step explanation:
First, we choose a variable to represent the unknown number.
1. Let x = the unknown number.
Then, we translate the sentence into an equation using the variable we chose.
"Twice the sum of six and a number is 38."
We do it piece by piece:
"the sum of six and a number": x + 6
"Twice the sum of six and a number": 2(x + 6)
"Twice the sum of six and a number is 38.": 2(x + 6) = 38
Now we have an equation that represents the sentence.
2(x + 6) = 38
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 10?
A)222
B)185
C)847
or none of these
Answer:
none of these
Step-by-step explanation:
A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.
The midpoint between y and 31 is -5. Find y
Find the length of each arc
Answer:
27 pi/4 or 6 3/4 pi
Step-by-step explanation:
First find the circumference
C = 2*pi*r
C = 2 * pi *9
C = 18 pi
The find the fraction of the arc
A circle is 360 degree
135/360 =3/8
Multiply the circumference by the fraction
18 pi * 3/8 =
27 pi/4
6 3/4 pi
Maria plans to make a triangular center island along the road. The said plan is illustrated at the image attached. She was able to put a fence around the lot which measures LT = 3m and OL = 3m. The said land area is an example of an oblique triangle which does not contain any right angle. If m∠T = 70 and m∠L = 65, what could be the measurement of ∠O and TO (round off to the nearest whole number)?
WITH SOLUTION!!!
The sum of interior angles of triangle sum up to 180°
Hence,
∠O + 70° + 65° = 180°
∠O = 180° - 65° - 70°
∠O = 45°
∴ The angle ∠O is 45 degrees.
To find length of TOUse cosine rule: a² = b² + c² - 2bc cos(A)
Hence,
TO² = 3² + 3² - 2(3)(3) cos(65)
TO² = 10.39287129
To = √10.4
TO = 3.22 ≈ 3 meters (rounded to nearest whole number)
∴ The length of TO is 3 meters.
which of the following equations have no solution?
plz plz plz need help for assignment
Answer:
\( \dfrac{2(x - 2)}{x + 5} \)
Step-by-step explanation:
\( \dfrac{12(x - 2)^2}{6(x - 2)(x + 5)} = \)
\( = \dfrac{2(x - 2)}{x + 5} \)
Calculate the margin of error for an 80% confidence interval for the mean, when the sample size is 20, the sample mean is 85, and the sample standard deviation is 5.0. Round your answer to 3 decimals
\(The formula for the margin of error is given by:$$\text{Margin of Error}=z_{\alpha/2} \times \frac{s}{\sqrt{n}}$$Where $z_{\alpha/2}$ is the critical value from the standard normal distribution table$\frac{s}{\sqrt{n}}$ is the standard error of the sample.\)
\(We have a sample size $n=20$, the sample means $\bar{x}=85$, and sample standard deviation $s=5$.\)
\(The critical value for an 80% confidence interval is 1.28 (from the standard normal distribution table).$$\text{Margin of Error}=1.28 \times \frac{5}{\sqrt{20}}$$\)
\(Simplifying,$$\text{Margin of Error}=1.28 \times \frac{5}{\sqrt{20}} \approx \boxed{1.811}$$\)
Therefore, the margin of error (rounded to 3 decimal places) for an 80% confidence interval for the mean is approximately 1.811.
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How does changing the sign of the constant a from positive to negative affect the domain and range of f(x) = a|x|?
When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.
A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.
Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is \(a\geq0\). Then, the given function is defined as follows,
\(f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}\)
Then, the domain will be \(\text{domain}=\mathbb{R}\{(-\infty, \infty)\) and the range will be given as \(\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}\).
Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as \(\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}\).
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Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z < 2.36) = (b) P(z 2.36) = (c) P(z < -1.22) = (d) P(1.13 < z < 3.35) = (e) P(-0.77 z -0.55) = (f) P(z > 3) = (g) P(z -3.28) = (h) P(z < 4.98) =
To determine the probabilities, we can use a standard normal distribution table or a statistical software. Here are the probabilities for each scenario:
(a) P(z < 2.36) = 0.9900
(b) P(z > 2.36) = 1 - P(z < 2.36) = 1 - 0.9900 = 0.0100
(c) P(z < -1.22) = 0.1112
(d) P(1.13 < z < 3.35) = P(z < 3.35) - P(z < 1.13) = 0.9992 - 0.8708 = 0.1284
(e) P(-0.77 < z < -0.55) = P(z < -0.55) - P(z < -0.77) = 0.2912 - 0.2815 = 0.0097
(f) P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013
(g) P(z < -3.28) = 0.0005
(h) P(z < 4.98) = 1 (since the standard normal distribution extends to positive and negative infinity)
The probabilities listed above are determined using the standard normal distribution. The standard normal distribution is a specific case of the normal distribution with a mean of 0 and a standard deviation of 1.
In the standard normal distribution, probabilities are calculated based on the area under the curve. The values in the standard normal distribution table represent the cumulative probabilities up to a certain z-score (standard deviation value).
To calculate the probabilities:
For (a), P(z < 2.36), we look up the z-score 2.36 in the standard normal distribution table and find the corresponding cumulative probability, which is 0.9900.
For (b), P(z > 2.36), we subtract the cumulative probability P(z < 2.36) from 1, as the total area under the curve is equal to 1. Thus, we get 1 - 0.9900 = 0.0100.
For (c), P(z < -1.22), we find the cumulative probability for the z-score -1.22 in the standard normal distribution table, which is 0.1112.
For (d), P(1.13 < z < 3.35), we calculate the cumulative probability for z = 3.35 and subtract the cumulative probability for z = 1.13 from it. This gives us 0.9992 - 0.8708 = 0.1284.
For (e), P(-0.77 < z < -0.55), we find the cumulative probability for z = -0.55 and subtract the cumulative probability for z = -0.77 from it. This yields 0.2912 - 0.2815 = 0.0097.
For (f), P(z > 3), we subtract the cumulative probability P(z < 3) from 1, which results in 1 - 0.9987 = 0.0013.
For (g), P(z < -3.28), we find the cumulative probability for z = -3.28 in the standard normal distribution table, which is 0.0005.
For (h), P(z < 4.98), since the standard normal distribution extends to positive and negative infinity, the probability of any value being less than 4.98 is equal to 1.
The probabilities listed are rounded to four decimal places for simplicity and clarity.
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Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes
and how many quarters does he have?
... please solve this using if systems of equations
seen you with ur ex