Solve the following formula for t.
A= J(1 + rt)
Answers
Explic
Pasos para resolver una ecuación linea
A=J(1+rt)
Usa la propiedad distributiva para multiplicar J por 1+rt.
A=J+Jrt
Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo.
J+Jrt=A
Combina todos los términos que contienen J.
(1+rt)J=A
La ecuación está en formato estándar.
(rt+1)J=A
Divide los dos lados por 1+rt.
rt+1(rt+1)J=rt+1A
Al dividir por 1+rt, se deshace la multiplicación por 1+rt.
J=rt+1A
Related Questions
Which mixed number is equivalent to 38 divided by 7
Answers
7 goes into 38 3 times resulting in 35 with 3 left over
The mixed number equivalent to 38 divided by 7 is 5 3/7.
To find the mixed number equivalent to 38 divided by 7,
we need to divide 38 by 7 and express the result as a mixed number.
=38 ÷ 7
= 5 remainder 3
Or 7 | 38 | 5
35
______
3
So, the quotient is 5 and the remainder is 3.
So, the mixed number equivalent to 38 divided by 7 is 5 3/7.
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help wit the last one 20 points!!!!!
Answers
Answer:
Fig C take reflection over horizontal axis (parallel to x axis) to be figure D
Fig D further take reflection over vertical axis -> fig D' -> reflection over horizontal axis -> F
Step-by-step explanation:
Can someone help? What's the answer. Best answer gets brainliest
Answers
Answer:
C.
Step-by-step explanation:
Suppose that half of the population of a town consumeKsh of rice. One hundred investigatoKsh are appointed to find out it's truth. Each investigator interviewed 10 individuals. How many investigatoKsh do you expect to report three or less of the people interviewed consumeKsh of rice?
Answers
The expected number of investigators who will report that 3, 4, or 5 people are consumers of rice is 57 investigators.
How to find the investigators ?The binomial distribution B(n, p) describes the behavior of a count X of successes in n independent trials, each with its own boolean-valued outcome: success (with probability p) or failure (with probability q = 1-p).
We want to find the probability that an investigator reports 3, 4, or 5 people are consumers of rice. The probability P(X=k) for a binomial distribution is given by the formula:
P(X=k) = C(n, k) * p^k * q^(n-k)
So we want to find P(X=3) + P(X=4) + P(X=5) :
P(X=3) = C(10, 3) * (0.5)^3 * (0.5)^(10-3)
= 0.117
P(X=4) = C(10, 4) * (0.5)^4 * (0.5)^(10-4)
= 0.205
P(X=5) = C(10, 5) * (0.5)^5 * (0.5)^(10-5)
= 0.246
The expected number of investigators who will report three or less of the people interviewed consumed is :
= P(X=3) + P(X=4) + P(X=5)
= 0.117 + 0.205 + 0.246
= 0.568
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Full question is:
Suppose that half the population of a town are consumers of rice. Each of 100 investigators interviews 10 individualas to see wheather they are consumers of rice. How many investigators do you expert to report that three or more but less than six people are consumers of rice?
How many distinct permutations can be formed using the letters of the word "ENTERTAIN"?
Answers
Answer:
The word "ENTERTAIN" has 9 letters, but it contains repeated letters. Specifically, it has 3 E's, 2 N's, and 2 T's.
To find the number of distinct permutations, we can use the formula for permutations with repeated elements.
The number of distinct permutations is given by:
n! / (n1! * n2! * ... * nk!)
where n is the total number of elements and n1, n2, ..., nk are the frequencies of each repeated element.
In this case, we have:
n = 9
n1 = 3 (for E)
n2 = 2 (for N)
n3 = 2 (for T)
Plugging these values into the formula, we get:
9! / (3! * 2! * 2!)
Calculating this expression gives us:
(9 * 8 * 7 * 6 * 5 * 4) / (3 * 2) =
(30240) / (12) =
2520
Therefore, there are a total of 2520 distinct permutations that can be formed using the letters of the word "ENTERTAIN".
Noah is planning a kayaking trip. kayak rental A charges a base fee of $15 plus $4.50 per hour. Kayak rental B charges a base fee of $12.50 plus $5 per hour.
At what time (hour) will the two rental companies cost the same amount? show your work
Answers
Answer:
the two are different they will not have the same amount
Step-by-step explanation:
Rental A is $19.50 and rental B is $17.50
A ladder is 65 inches tall. How tall is it in feet and inches?
Answers
1 foot = 12 inches
65 inches / 12 = 5.41 feet
5 x 12 = 60
65-60 = 5
Answer: 5 feet 5 inches
Help please geometry
Answers
The area of the shaded region = 30.903 in²
From the attached figure we can observe that the radius of the circle R is r = 6 in.
Using the forula for the area of circle, the area of circle R would be,
A₁ = πr²
A₁ = π × 6²
A₁ = 36π
A₁ = 113.097 in²
So, the diameter would be d = 6 × 2 = 12 in.
The circle R is inscribed in a square.
So, the side length of square is equal to the diameter of the circle.
This means the side length 'a' os square = 12 in.
Using the formula of the area of square,
A₂ = side²
A₂ = a²
A₂ = 12²
A₂ = 144 in²
so, the area of the shaded region would be,
A = A₂ - A₁
A = 144 -113.097
A = 30.903 in²
This is the required area.
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if 2 (3x - 4 ) =5, then x =
Answers
Answer:
2.167 (rounded to the nearest hundredths).
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, divide 2 from both sides of the equation:
(2(3x - 4))/2 = (5)/2
3x - 4 = 2.5
Next, isolate the variable, x. Add 4 to both sides of the equation:
3x - 4 (+4) = 2.5 (+4)
3x = 2.5 + 4
3x = 6.5
Then, divide 3 from both sides of the equation:
(3x)/3 = (6.5)/3
x = 6.5/3 = 2.167 (rounded).
~
Answer:
We have this equation
2*(3x-4) = 5
We can start solving the parentheses
2*(3x- 4) = 5
6x - 8 = 5
We can add 8 to both sides
6x - 8 + 8 = 5 + 8
6x = 13
And divide by 6
6x/6 = 13/6
x = 13/6
What is the volume of this pyramid?
Enter your answer in the box.
Answers
Answer:
9576
Step-by-step explanation:
Area of the triangle × height
(1/2×28×19)×36
The piecewise function represents the amount of taxes owed, f(x), as a function of the taxable income, x. Use the marginal tax rate chart or the piecewise function to answer the questions.
Tax Bracket Marginal Tax Rate
$0–$10,275 10%
$10,276–$41,175 12%
$41,176–$89,075 22%
$89,076–$170,050 24%
$170,051–$215,950 32%
$215,951–$539,900 35%
> $539,901 37%
A piecewise function f of x in seven pieces. The function is defined by part 1, which is 0 point 10 times x for x less than or equal to 10,275; part 2, which is 0 point 12 times x minus 205 point 50 for 10,276 is less than or equal to x which is less than or equal to 41,175; part 3 which is 0 point 22 times x minus 4,323 for 41,176 is less than or equal to x which is less than or equal to 89,075; part 4 which is 0 point 24 times x minus 6,105 point 50 for 89,076 is less than or equal to x which is less than or equal to 170,050; part 5 which is 0 point 32 times x minus 9,070 point 32 for 170,051 is less than or equal to x which is less than or equal to 215,950; part 6 which is 0 point 35 times x minus 26,187 point 50 for 215,951 is less than or equal to x which is less than or equal to 539,900; and part 7 which is 0 point 37 times x minus 36,985 point 67 for x is greater than or equal to 539,901.
Part A: Using the method of your choice, demonstrate how to calculate the amount of taxes owed on a taxable income of $31,000. Show all work. (4 points)
Part B: Using the taxes owed from part A, determine the effective tax rate. Show all work. (4 points)
Part C: Compare the piecewise function to the marginal tax rate chart. How is the marginal tax rate chart represented in the piecewise function? (2 points)
Answers
Answer:
Part A: $3,415.50
B: 11.34%
Step-by-step explanation:
Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50
Part B: For the effective tax rate, divide the amount in part A by the taxable income
Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.
To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.
Explanation:Part A:
To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:
f(x) = 0.12 * 31000 - 205.50 = $3,574.50
Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.
Part B:
To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:
Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%
Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.
Part C:
The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.
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Find the simple interest earned on $750 at 6% for 18 months
Answers
Answer:
800k
Step-by-step explanation:
You said earned 750 %6 x 18 montjs
A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L, end text. Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml. She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml. Norah wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Required:
Calculate the test statistic for Norah's test.
Answers
Answer:
The test statistic for Norah's test is \(t = -2\)
Step-by-step explanation:
Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.
This means that at the null hypothesis we test if the sample mean is 500 ml, that is:
\(H_0: \mu = 500\)
At the alternate hypothesis, we test if it is differente than 500 ml, that is:
\(H_a: \mu \neq 500\)
The test statistic is:
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
500 is tested at the null hypothesis:
This means that \(\mu = 500\)
She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.
This means that \(n = 16, X = 497, s = 6\)
Calculate the test statistic for Norah's test.
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{497 - 500}{\frac{6}{\sqrt{16}}}\)
\(t = -2\)
The test statistic for Norah's test is \(t = -2\)
Answer: -2
Step-by-step explanation: Khan
In the triangles below, mzB = m2P and mZT = MZJ.
Ý
N
What is the length of JN?
327
0 67
07
O 12
Answers
Answer:
The answer is B(6 2/3)
semoga membantu
rewrite 5/12 with the denominator 24
Answers
Answer:
10/24
Step-by-step explanation:
5/12 x 2 =?
5x2=10
12x2=24
so 10/24 is the correct answer.
Graph the equation,
y = 5x - 5
Answers
Answer:
Step-by-step explanation:
there are 2 ways to graph equations. I'll teach u the faster way.
step 1) graph the y-intercept.
so the slop-intercept form of a line is y=mx+b. b represents the y-intercept and m represents the slope. u need two points to graph a line, the first point will be the y intercept. in this case, the y-intercept is -5. so this is what you should do: (the underlined star represents a point. also, the underlined star is on point -5.)
| y
|
|
|
------------------------------------------------------------x
|
|
|
|
*
|
step 2) graph the second point using the slope.
slope equals rise over run. (m=rise/run.) in this case, the slope is 5/1. To graph the second point, u should RISE up by 5 and RUN to the right by one: (the underlined star is on point 1.)
| y
|
|
|
-----------------------*-------------------------------------x
|
|
|
|
*
|
now draw a line through those two points.
still confused? watch the first video that pops up after searching: how to graph a line
i couldnt insert the link to the vid for whatever reason but that vid helped me learn
Find the area of semicircle
Answers
Answer:
Area of semicircle = πr2/2. ..18. Find the present value of a deferred annuity of ₱ 30,000.00 at the end of every year for 10 years. The first payment of a mother will be done at the end of the second year, and the money is compounded at 3% annually. a. ₱ 244,354.12 b. ₱ 248,452.51 c. ₱ 278,520.14 d. ₱ 291,245.18
Answers
Answer:
₱ 248,452.51
Step-by-step explanation:
₱ 248,452.51
please show work for 16,17,18
Answers
Answer:
ye im new to this but heres me doing it on graph paper
solve the equation x/4 -7=y for x
Answers
Answer:
\(x=4y+28\)
Step-by-step explanation:
\(\frac{x}{4} -7=y\)
\(\frac{x}{4} =y+7\)
\(x=4(y+7)\)
\(x=4y+28\)
Answer:
\(x = 4(y + 7)\\x=4y+28\)
Step-by-step explanation:
\( \frac{x}{4} - 7 = y \\ \frac{x}{4} = y + 7 \\ x = 4(y + 7)\\=4y+28\)
hope this helps
brainliest appreciated
good luck! have a nice day!
A book costs $1.49 and is sold in a retail store for $8.99. What is the percentage in mark up? mmnle 10 percent would be 10% You can find the percent
Answers
Answer:
The percentage in mark up is 503.56%.
Step-by-step explanation:
The percentage in markup is the change(retail - cost) divided by the initial cost, and multiplied by 100%.
In this question:
Cost: 1.49
Change: 8.99 - 1.49 = 7.5
Percentage change:
(7.5*100%)/1.49 = 503.56%.
The percentage in mark up is 503.56%.
I need help plz, ASAP
Answers
Answer for #5:
L=2,6,f=-2,6 ,m=3,1 ,g=-3,1 ,n=6,3 ,h=-6,3
Answer:
b
Step-by-step explanation:
Solve for y 2/5x + y = 3
Answers
Answer:
y=-2/5x +3
Step-by-step explanation:
You get the y to be alone on it's side of the equal sign.
So you subtract 2/5 x from that side and what you do to one side you have to do to the other.
You get: y=-2/5x +3
Two expressions with equal sign is Equation. y= 3-2/5x is the solution for y if equation is 2/5x + y = 3.
What is Equation?Two expressions with equal sign is called as Equations.
Given Equation is 2/5x + y = 3, we need to solve for y.
You get the y to be alone on it's side of the equal sign.
So you subtract 2/5 x from that side and what you do to one side you have to do to the other.
2/5x + y = 3
y = 3-2/5x
Therefore y=3-2/5x is the solution for 2/5x + y = 3 equation.
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oin a sample of 275 students, 20 say they are vegetarians. of the vegetarians, 9 eat both fish and eggs, 3 eat eggs but not fish, and 7 eat neither. choose one of the vegetarians at random.
Answers
The probability of choosing one of the vegetarians at random is 4/55.
Describe the term probability?Probability is the likelihood that something will occur or the probability that something will happen. Probability is the measure of how feasible it is that a coin will land heads up after being tossed into the air.The given data is;
Total students: 275vegetarians = 20eat both fish and egg = 9eat eggs but not fish = 3eat eggs but not fish = 7The formula for probability;
probability = favourable outcome/ total outcome
P(one vegetarian) = 20/275
P(one vegetarian) = 4/55
Thus, the probability of choosing one of the vegetarians at random is 4/55.
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simplify 9/14divided7/10
Answers
Answer:
45/49
Step-by-step explanation:
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
9/14 * 10/7 = 90/98
divide the numerator and the denominator by 2.
90 * 2 = 45
98 * 2 = 49
45/49
SCL1501 ASSIGNMENT 1 2023_0 X + 20kay/Documents/2023%20assessments/SCL 1501%20ASSIGNMENT%201%202023_0adc3afa3db59caacea862 QUESTION 5 Jane Doe purchased a Range Rover last week for R790 500 (VAT incl). While driving from the Dube Port area along the N2 Road in Durban, she collides with John Wick, who is the owner-driver of a Porshe Cayenne. Doeriş is 23% negligent, whereas Wick is 33% negligent. The damage to the Range Rover is estimated at R175 000.00. It is uneconomical to repair the Porsche, but its salvage value is R125 000.00. The pre-accident value of Porsche was R985 000.00. Regarding the damages to Doe and Wick's motor vehicles, calculate who must pay whom and what would be the amount in damages. (4)
Answers
Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.
What is the basic mathematical οperatiοns?The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.
Tο calculate the damages, we need tο find οut the prοpοrtiοn οf negligence fοr each driver and apply it tο the damages.
Let D represent Dοe and W represent Wick.
Dοe's negligence = 23%
Wick's negligence = 33%
Tοtal negligence = 23% + 33% = 56%
Therefοre, Dοe is 23%/56% = 0.4107 οr 41.07% liable, and Wick is 33%/56% = 0.5893 οr 58.93% liable.
Damage tο Range Rοver = R175 000
Dοe's liability = 41.07% οf R175 000 = R71 872.50
Wick's liability = 58.93% οf R175 000 = R103 127.50
Salvage value οf Pοrsche = R125 000
Pre-accident value οf Pοrsche = R985 000
Lοss οf value οf Pοrsche = R985 000 - R125 000 = R860 000
Wick's liability fοr lοss οf value = 58.93% οf R860 000 = R506 398.00
Therefοre, Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.
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Four family members compared their ages. Terell is 3 years younger than Danny. Danny is 1 year younger than Pablo. Pablo's age is 1/3 Shaniqua's age. How old is Terell if Shaniqua is 36 years old?
The picture below is wrong so don't say this you little l=UCK.
Answers
Answer:
8 years
Step-by-step explanation:
Shaniquas age is given as 36. This age is going to help us to find the rest.
Pablo is said to 1/3 of Shaniquas age
= 1/3 of 36 = 36/3 = 12
Pablo is 12
Danny is younger than pablo by 1
12 - 1 = 11
Danny is 11
Terrell is younger than danny by 3
11-3 = 8
Terrell is 8 years old
Answer:
I think ur profile pic is cute
Step-by-step explanation:
Find the product:
−5/3(−2/3)(−18)
A) −20
B) −35/3
C) 35/3
D) 20
Answers
Answer:
I got D. 20
Step-by-step explanation:
-5/3 times -2/3 equals 10/9
10/9 times -18 equals -20
Hope this helps dude ^-^
find the center and radius of each then sketch the graph
Answers
Answer:
Centre: (2, 1)
Radius: 7
Explanation:
If we have an equation of the form
\((x-a)^2+(x-b)^2=r^2\)then the centre of the circle is located at (a, b) and the radius is r.
Now, in our case we have
\(\mleft(x-2\mright)^2+\mleft(y-1\mright)^2=49\)which can be rewritten as
\(\mleft(x-2\mright)^2+\mleft(y-1\mright)^2=7^2\)which tells us that the centre is at (2, 1) and the radius is 7.
The graph is attached below.
What is the quotient if
1/3 of 10 is divided by 1/7 of 8/12? Reduce if possible.
Answers
Answer:
2.75
Step-by-step explanation: