If you would like to have $500,000 when you retire in 30 years.
a. Amount earned $2,322.76.
b. Total money $2,322.76
c. Total interest earned $225,268.80
How to find the amount earned?a) To calculate the amount you need to deposit each quarter to reach $500,000 in 30 years, you can use the formula:
P = A / (1 + r/n)^(nt)
P = $500,000 / (1 + 0.066/4)^(4 * 30)
P = $2,322.76
b) Total money
Total money = $2,322.76 * 4 quarters/year * 30 years
Total money = $2,322.76
c) Total interest earned
Total interest earned = $274,731.20 - $500,000
Total interest earned = $225,268.80
Therefore the amount earned is $2,322.76.
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In a recent survey, a group of people were asked if they were happy or unhappy with the state of the country. The data are shown in the contingency table below, organized by political party. What is the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans? Round your answer to two decimal places
The data are shown in the contingency table below, organized by political party therefore the odds ratio for people unhappy with the state of the country to be republicans against people happy with the state of the country to be republicans is 0.64.
What is Data?This is referred to as information that has been translated into a form that is efficient for movement or processing.
Number of people unhappy with the state of the country to be republicans = 98
Number of people happy with the state of the country to be republicans = 152
Therefore the ratio is 98/152 = 0.64
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Answer:
Step-by-step explanation:
0.46
A study suggest 14.7% of all four digit personal identification numbers, or PIN codes, have a repeating digits format such as 2525. Assuming this to be true, if the PIN codes of four people are selected at random, what is the probability that at least one of them will have repeating digits?
The probability that at least one of the codes will have repeating digits is 0.4712.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Here, The probability of a pin being repeated is 14.7%
⇒ 14.7/100
After Eliminating the decimal point;
⇒ 14.7/100 = 147/1000
Hence,
The probability that a pin, if selected will have a repeating digit format = 147/1000
The probability of a pin not having repeating digits format is,
⇒ 1 - 147/1000
⇒ 853/1000
If four codes are selected at random (without replacement), the probability that all four of the codes will not have repeating digits format is,
⇒ (853/1000) x (852/999) x (851/998) x (850/997)
⇒ 0.5288
Thus, The probability that at least one of them will have repeating digits is,
⇒ 1 - 0.5288
⇒ 0.4712
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Answer:
2x-4=0
2x=-4
Step-by-step explanation:
2x-4=0
2x-4+4=0+4
2x/2=4/2
x=2
2x=-4
2x/2=-4/2
x=-2
help
The functions f(x) and g (x) are defined below.
f(x) = 3/4(2)^x
g(x) = 18x - 60
What is the difference in the x values for the two points where f(x)= g(x)?
A. 48
B. 4
C. 36
D. 2
Answer:36
Step-by-step explanation:
5(4 · 3 + 3 · 4)= 300 120 480
Answer:
120
Step-by-step explanation:
First you do the question in the paretheses.
12 + 12 = 24
5 x 24 = 120
Answer:120
Step-by-step explanation:
Point T is at (-2,5). What are the coordinates of point T after R y axis o R axis
The coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5). The solution has been obtained by using the concept of reflection.
What is reflection?
In geometry, a reflection is referred to as a flip. In a reflection, the shape is reflected. An image will reflect over a line known as the line of reflection.
We are given a point T(-2, 5)
In order to find the coordinates of the reflection of point in the y-axis, we need to change the sign of abscissa i.e., x-coordinate and retain the ordinate i.e., y-coordinate.
So, we get the image of (-2 , 5) as (2, 5)
Thus, the coordinates of point T' after Ry-axis is (2, 5).
When we reflect across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.
So, we get the image of (-2 , 5) as (-2, -5).
Thus, the coordinates of point T' after Rx-axis is (-2, -5).
Hence, the coordinates of point T' after Ry-axis is (2, 5) and the coordinates of point T' after Rx-axis is (-2, -5).
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Help me please I beg
Answer: i use brainly.in for homework
Step-by-step explanation: all u have to do is times then divide the numbers
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60\%60%60, percent of the items on our list," her father says. Anastasia sees 121212 items in the cart.
The number of items on their grocery shopping list given the percentage already bought is 20 items.
How many grocery items are on the list?Percentage of items bought already= 60%
Number of items bought already= 12
Total number of items on the list= x
Number of items bought already = Percentage of items bought already × Total number of items on the list
12 = 60% × x
12 = 0.6 × x
12 = 0.6x
divide both sides by 0.6
x = 12/0.6
x = 20 items
Hence, there are a total of 20 items on their grocery list.
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erastdyfugihojlhgfdszerWestdyfughilj;hgufydtyrstzerxytcfyguhlij;lk
Answer:
36/27
Step-by-step explanation:
SOHCAHTOA, so tan is opposite over adjacent.
opposite = 36
adjacent = 27
So, tan C is 36/27
Which is the best description for the graph of a > 4?
O A vertical dotted line at (4,0) with the shading to the right of the line.
O A vertical solid line at (4,0) with the shading to the right of the line.
A vertical dotted line at (4,0) with the shading to the left of the line.
A vertical solid line at (4,0) with the shading to the left of the line.
Note that the best description for the graph is a > 4 is "A vertical solid line at (4,0) with the shading to the right of the line." (Option B)
What is the rationale for the above answer?Note that the inequality means that a is greater than 4. This means that the end value 4 is not included.
To graph the inequality " > " a dashed line is used. The inequality does not contain any y - value in it.
Hence, it has only one vertical line at a> 4 and is shaded for all values of a greater than 4.
Thus, the graph that fits the inequality is a vertical dashed line, shaded to the right of the line.
It is correct to state, therefore, that option B is the corect answer.
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A square piece of cloth with an area of 324 square inches is folded in half twice to form the napkin shown. What is
the area of the folded napkin?
The area of the napkin will be 162.5 inches².
What is the area of a square?The area of a square is -
{A} = Side x Side
Given is that a square piece of cloth with an area of 324 inches² is folded in half twice to form the napkin.
The area of the cloth is -
{A} = 324
Let the side of the square cloth be {a}. So, we can write -
a² = 324
a = √324
{a} = 18 ... Eq { 1 }
The diagonal of the square will be the base length of the napkin (in the form of triangle). So, we can write -
d² = a² + a²
d² = 2a²
d² = 648
d = √648
{d} = 25.5 inches ... Eq { 2 }
The height would be -
h = d/2
h = 25.5/2
{h} = 12.75
The area of the napkin would be -
1/2 x d x h
1/2 x 25.5 x 12.75
162.5 inches²
Therefore, the area of the napkin will be 162.5 inches².
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need help very badly thank you
Answer:
a) 08:30 b) 07:54 c) 26 minutes
Step-by-step explanation:
a) Bus leaves Church Street at 07:59. Bus Station times are at 07:40, 08:30 and 9:20. 07:40 is 9 minutes is earlier then 07:59 (07:59 > 07:40) therefore its 08:30.
Answer: 08:30.
b) If Jo has to get there at 8.30am, the time of the latest bus she can take is the one at 08:44. 07:04 is too early and so is 07:54.
Answer: 07;54
c) Lets use the bus that comes to School Road at 08:04 to make it easier. The bus will arrive at 08:30 at Bus Station. Focus on the minutes, not hours. 30 - 4 = 26, meaning it will take 26 minutes from School Road to the Bus Station.
Answer: 26 minutes
P.S (Let me know if I may have made a mistake, because I did it multiple times)
504/36 in simplest form
Answer:
14/1
In my opinion it is the answer .
Thankyou .........!
The mass of a radioactive substance follows a continuous exponential decay model, with the decay rate parameter 4% per day. A sample of this radioactive substance has an initial mass of 2.05 kg. Find the mass of the sample after four days. Round your answer to two decimal places.
The mass of the sample after four days is 1.75 kg.
How to find the mass of the sample after four days?The decay rate for a radioactive substance follows the exponential decay formula:
m(t) = m₀ * e^(-kt),
where m₀ is the initial mass, m(t) is the mass at time t, k is the decay rate parameter, and e is the base of the natural logarithm.
Given that the initial mass of the sample is 2.05 kg and the decay rate parameter is 4% per day, the formula becomes:
m(t) = 2.05 * e^(-0.04t).
To find the mass after four days, we substitute t = 4:
m(4) = 2.05 * e^(-0.04 * 4)
m(4) = 1.75 kg
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Solve the system of equations using elimination.
2x + 3y = −8
3x + y = 2
Answer: x = 2 and y = -4
I’ll give braniest
Find the area of the triangle
In the picture
If an object is described as weighing 8.30 grams, then is this the exact weight of the object? If not, what can you say about the weight of the object? Explain your answer in detail. Give an interval for the exact weight.
The exact weight of the object is 83.0N
What is weight?Weight is the force with which a body is attracted toward the earth or a celestial body by gravitation and which is equal to the product of the mass and the local gravitational acceleration. Weight is a vector quantity and it is expressed as :
weight = mass × acceleration due to gravity
acceleration due to gravity is constant on a planet. On earth the acceleration due to gravity is 10m/s².
The mass of the object is 8.30grams
The weight of the object = 8.30 × 10 = 83N
Therefore the weight of the object with mass 8.30grams is 83.0N
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A student starts a walk at (-7, -9). If the student walks 3 miles north, south, east, or west, which of the following could be their location at the end of the walk?
O(-10,-9). (-4,-9), (-7,-6). (-7, -12)
O(-9,-7), (-12, -7), (-4,-6), (-10,-6)
O(-7,3), (-7, -12), (-4,-9). (3,-9)
O (3,-9), (6,-9), (-7,-4), (-7, -12)
If the student walks 3 miles north, south, east, or west, the location at the end of the walk are respectively, (-10,-9). (-4,-9), (-7,-6). (-7, -12).
So Option A is correct
What is subtraction and addition ?In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.
For example, if we take 4 pencils out of 10 then remaining pencils are 6
so this process is called subtraction.
And opposite operation of subtraction is known as addition, which means in addition, few portion provided to the whole part.
Given that,
A student starts a walk at (-7, -9)
If the student walks 3 miles north, south, east, or west,
The location at the end of the walk = ?
Plotting dotted diagram,
East
|
North --------- |-------------- South
|
West
Suppose, he goes to north direction
Then, 3 will be subtracted from x coordinate,
It can be written as,
(-7-3, -9)
(-10, -9)
Similarly, for South, (-4, -9)
East, (-7, -6)
West, (-7, -12)
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Suppose that a desktop computer system consists of a monitor, a mouse, a keyboard, the computer processor itself, and storage devices such as a disk drive. Most computer system problems due to manufacturing defects occur soon in the system’s lifetime. Purchasers of new computer systems are advised to turn their computers on as soon as they are purchased and then to let them run for a few hours to see if any problems crop up. Let
A=Event that a newly purchased monitor operates properly.
B=Event that a newly purchased mouse operates properly.
C=Event that a newly purchased disk drive operates properly.
D=Event that a newly purchased computer processor operates properly.
Suppose that the four events are independent, with
P(A)=P(B)=0.98, P(C)=0.97, P(D)=0.99
Find the following probabilities:
All 4 components are working properly.
All components are working properly except for the monitor.
The monitor or the processor operates properly.
SHOW ALL YOUR WORK and Round your answers to nearest four decimal places.
The answers to each part is mentioned above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a desktop computer system consists of a monitor, a mouse, a keyboard, the computer processor itself, and storage devices such as a disk drive.
It is assumed that -
A = Event that a newly purchased monitor operates properly.B = Event that a newly purchased mouse operates properly.C = Event that a newly purchased disk drive operates properly.D = Event that a newly purchased computer processor operates properly.P(A) = P(B) = 0.98, P(C) = 0.97, P(D) = 0.99.{ 1 } -
P{All 4 components are working properly} = (0.98 + 0.98 + 0.97 + 0.99)/4 = 0.98
{ 2 } -
P{All components are working properly except for the monitor} =
(0.98 + 0.97 + 0.99)/4 = 0.735
{ 3 } -P{The monitor or the processor operates properly} =
(0.98 x 0.99)/2
0.49
Therefore, the answers to each part is mentioned above.
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How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points 0 comma 3 and 3 comma 4 and another line that passes through the points 0 comma negative 2 and 3 comma negative 1.
The number of solutions that the system of equations has is given as follows:
The system of linear equations represented in the graph have
No solutions.
How to obtain the number of solutions?The first step in obtaining the number of solutions of the system of equations is obtaining the linear function that represents each line.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope.
b is the y-intercept.
here, we have,
The first line goes through these following points:
(0,3) and (3,4).
The slope is given by change in y divided by change in x, hence:
slope = 3
When x = 0, y = 3,
hence the intercept is of b = 3
and the function is given as follows:
y = 3x - 3
The second line goes through these following points:
(0,-2) and (3,-1).
Hence the slope is of:
m = 3
The intercept is of b = -2,
and the equation is given as follows:
y = 3x-2.
Hence the solution is obtained as follows:
3x - 3=3x-2.
i.e.
The system of linear equations represented in the graph have
No solutions.
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K
If a 42 gal hot water tank holds 350 lb of water, what weight of water will a 59 gal tank hold?
A 59 gal tank hold will hold lb of water.
(Round to the nearest whole number as needed.)
A 59 gal water tank hold will hold 492 lb of water.
How much water would a 59 gal tank hold?The first step is to determine how many lb of water a 1 gal hot water tank can hold. In order to determine this value, divide 350 by 42.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
Weight of water in a 1 gal water tank = 350 / 42 = 8.333 lb
Now, multiply the value gotten in the previous step by 59.
Weight of water in a 59 gal water tank = 8.333 x 59 = 492 lb
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g (7) g (x) = - 10x - 7
1 inch to 235 feet and its height is 3.5 inches.
The solution is, its height is 3.5 inches. i.e. is 822.5 ft.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
If 1 inch is 235 feet
and it’s height is 3.5 inches
we would multiply the 235 by 3.5
i.e. 235*3.5
=822.5 ft.
and get our answer: 822.5ft
Hence, The solution is, its height is 3.5 inches. i.e. is 822.5 ft.
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Mr Kai had some packets of salt. He sold 5/6 of the packets of salt and had 15 packets left. How many packets of salt did Mr Kai have at first?
Answer:
90
Step-by-step explanation:
[tex]\frac{1}{6}+\frac{5}{6}[/tex]
in here [tex]\frac{1}{6}= 15\\ \\so\\\\\frac{5}{6} =75\\\\\frac{1}{6} +\frac{5}{6}=\frac{6}{6} \\[/tex]
in this case it is 15+75=90
Find m< c of this shape
The value of ∠C is 73 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the value of ∠C
the value of ∠A is 59 degrees and the value of ∠B is 48 degrees.
We know that from angle sum property the sum of three angles is 180 degrees.
∠A+∠B+∠C=180
59+48+∠C=180
107+∠C=180
Subtract 107 from both sides
∠C=180-107
∠C=73 degrees.
Hence, the value of ∠C is 73 degrees.
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Levin Furniture buys a living room set with a $5,800 list price and a 50% trade discount. Freight (FOB shipping point) of $45 is not part of the list price. What is the delivered price (including freight) of the living room set, assuming a cash discount of 3/10, n/30, ROG? The invoice had an April 8 date. Levin received the goods on April 19 and paid the invoice on April 25.
The delivered price (including freight) of the living room set is $2858.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
List Price = $5800
Trade discount = 50%
So, Price after discount
= $5800 - 50% x $5800
= 5800- 2900
= $2900
if Levin pays within 10 days he will have a discount of 3%, So,
3% x $2900
= $87
Thus, the Delivered price = $2900 -$87+ freight charges ( shipping)
= $2900 -$87 + $45 =$2858
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the ratio of diners to waiters is 1:8 respectively. If the total number of people in the restrant is 36, how many waiters are there
There are 32 waiters in the restaurant.
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
The ratio of diners to waiters is 1:8 respectively.
Let x be the number of diners and 8x be the number of waiters.
If the total number of people in the restaurant is 36,
that means, 8x + x = 36
x = 4
Then, the number of waiter = 32.
Therefore, the number of waiter = 32.
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2/x x 3/2x-5 rational expressions
Answer: To find the product of two rational expressions, we multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator.
So, (2/x) * (3/2x-5) = (2 * 3) / (x * (2x-5)) = 6 / (2x^2 - 5x)
Step-by-step explanation:
PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
water and food are products of?