9 If 10,000 Birr is invested for 6 years at annual simple interest rate of 16%, what will be interest earned and annount of the investment at the end of the 6 years respectively? (A) 600, & 19600 (B) 9600, & 600 (C) 9600, & 19600 (D) 6900, &16900 (E) None of the above
9514 1404 393
Answer:
(C) 9600, 19600
Step-by-step explanation:
The interest is given by ...
I = Prt
I = 10,000×0.16×6 = 9,600 . . . interest earned
The amount of the investment is the total of the principal and the interest earned:
10,000 +9,600 = 19,600 . . . amount of investment after 6 years
Suppose it takes John 10 minutes to run1 mile. How long would it take if he to run 4 kilometers
A class measured the radius and circumference of various circular objects. The results are plotted on the graph.Why might the measured radii and circumferences not be exactly proportional?
Answer:
Because it goes through the origin and the line is straight but there is still the empty space between the 4 and 6
Step-by-step explanation:
Answer:
Good
Step-by-step explanation:
Goodd
2as = vf2-vo2 despejar para a
Para despejar "a" de la ecuación 2as = vf^2 - vo^2, podemos seguir los siguientes pasos:
1. Sumar vo^2 a ambos lados de la ecuación:2as + vo^2 = vf^2
2. Dividir ambos lados de la ecuación por 2s:a = (vf^2 - vo^2) / 2s
Por lo tanto, la fórmula para calcular "a" a partir de la distancia de desplazamiento "s", la velocidad final "vf" y la velocidad inicial "vo" es:
a = (vf^2 - vo^2) / 2s
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A suit is on sale for $335, which is 33% less than the regular price.What is the regular price?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
suit:
final price = $335
discount = 33%
Step 02:
percentage:
discount = 33% = 33/100 = 0.33
regular price:
regular price = x
final price = regular price - regular price * discount
335 = x - (x * 0.33)
335 = x - 0.33x
335 = 0.67x
335 / 0.67 = x
500 = x
The answer is:
regular price = $500
If there is a strong correlation between the variables a and b, a may cause b.
True or false?
Answer:
true
Step-by-step explanation:
.
D=mv+v^2/2a
solve for a
Answer:
a=2D/v^2 − 2m/v
Step-by-step explanation:
Answer:
a = (mv + v²)/2D
Step-by-step explanation:
An oak tree is planted when it is 650 centimeters tall. What is this height in meters?
The height of the oak tree is
meters.
Answer:
The answer is 6.5 meters tall
Step-by-step explanation:
650 divided by 100
do your 2 loops to the left and you get 6.5
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations.
(a) The process standard deviation is 0.25, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.75 or greater than 10.25 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number.
Probability of a defect:
Number of defects:
The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.
To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.
First, we need to standardize the weight limits as follows -
\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4
\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4
Next, we will find the area under the standard normal curve that lies outside of these limits as follows -
P(Defect) = P(Z < -4) + P(Z > 4)
Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x \(10^{-5}\) and P(Z > 4) = 2.8665 x \(10^{-5}\) .
So, the total probability of a defect is -
P(Defect) = 2.8665 x \(10^{-5}\) + 2.8665 x \(10^{-5}\) = 5.7330 x \(10^{-5}\)
Finally, we will find the number of defects for a 1,000-unit production run as follows -
The number of defects = 1000 * 5.7330 x \(10^{-5}\) = 5.73 (rounded to the nearest whole number).
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What is the value of X in this question?? I need help please!
Answer:
The value of x would be 23
Step-by-step explanation:
You must first find the angles of triangle CDE. So to find angle C you must know that a straight line is equal to 180 degrees, 180-117=63 So angle C would be 63 degrees. Angle D is congruent to Angle B so Angle D would equal 24 Degrees. Then to find the angle of Angle E simply subtract 87 from 180 (You Get 87 From Adding 24 and 63), 180-87=93. Know that you know that Angle E is 93 Degrees set up the equation, 4x+1 = 93 SOLVE.
4x+1=93
4x = 92
x = 23.
Look at this data set. 6, 8, ?, 15, 18, 14, 16, 8 The data set has 8 data points. The missing data point is a whole number. The median of the data set is 12. What is the value of the missing data point from the data set? A. 20 B. 15 C. 10 D. 5
The value of the missing data point is 10. Option C
How find the value of the missing data pointThe data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.
Let's arrange the data set in ascending order:
6, 8, ?, 8, 14, 15, 16, 18
Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.
From the given options, the only whole number that could fit as the fourth value in the data set is 10.
Thus, the value of the missing data point is C. 10.
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People use water to cook, clean, and drink every day. An estimate of 22.7% of the water used each day is for cooking. If a family uses 68.1 gallons of water a day for cooking, how many gallons do they use every day?
We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.
What is gallons?
Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.
Let's start by using algebra to solve the problem.
Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:
0.227x = 68.1
To solve for x, we can divide both sides of the equation by 0.227:
x = 68.1 ÷ 0.227
x = 300.001 (rounded to three decimal places)
Therefore, the family uses 300.001 gallons of water every day.
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If a sample of a certain solution is determined to have a [H20+] concentration of 1.25 x 10-' moles/liter, what is its pH? Round off your answerto one decimal place.
Hello
To solve this question, we simply need to use the formula of findind the pH of a solution.
\(\begin{gathered} pH=-\text{log}\lbrack H_2O^+\rbrack \\ pH=-\log \lbrack1.25\times10^{-1}\rbrack \\ pH=0.903\approx0.9 \end{gathered}\)From the calculation above, the pH of the solution is 0.9 and this indicates that it is a strong acidic solution.
The height of a triangle is 2 feet more than four times the base. The area of the triangle is 10 feet squared. Find the dimensions of the triangle
Let b be the base and h be the height
h = 2 + 4b
area = 10
\(\text{Area of a triangle = }\frac{1}{2}\times b\times h\)\(10=\frac{1}{2}\times b\times(2+4b)\)\(10=\frac{b(2+4b)}{2}\)Multiply bothside by 2
\(20=b(2+4b)\)\(20=2b+4b^2\)\(4b^2+2b\text{ - 20 =0}\)Using factorization method to solve the above
Find two numbers such that its sum give 2 and its product gives -80
The two numbers are 10 and -8
Replace 2 by 10 and -8 in the expresion
\(4b^2+\text{ 10b-8b -20 = 0}\)\(2b(2b+\text{ 5) - 4(2b+}5)=0\)\((2b+5)(2b-4)=0\)2b + 5 = 0 or 2b - 4 =0
2b = -5
b = -5/2 or 2b = 4
b = 2
since there is no negative length, then base is 2 feet
To get the height, substitute h = 2 + 4b
h = 2+ 4(2)
= 2 + 8
= 10
Height is 10 feet
The dimensions of the triangle is;
height = 10 feet
base = 2 feet
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
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Lucky Champ owes $204.00 interest on a 8% loan he took out on his March 17. The loan is due on August 17. What is the principal?
Answer:
2,550 dollars hope u get a good grade
Step-by-step explanation:
the andswer is 220.32
Step-by-step explanation:
when you take 204 times the 8percent interest
204 x .08
you get 16.32
now add 16.32 and 204 and thats what you owe for your loan
find the degree of the monomial. 3x^8y^4
Answer:
Your answer is 12.
Step-by-step explanation:
There are 8 new books and 6 used books on the shelf. A. What us the ratio of all books on the shelf to used books? B. What is the ratio of all books on the shelf to new books?
The ratio of all books on the shelf to used books is 14 : 6 and ratio of all books on the shelf to new books is 14:8
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
To find the ratio of all books on the shelf to used books, we need to divide the total number of books by the number of used books.
The total number of books is 8 + 6 = 14
the number of used books is 6.
Therefore, the ratio of all books on the shelf to used books is 14 : 6
To find the ratio of all books on the shelf to new books
we need to divide the total number of books by the number of new books.
The total number of books is 8 + 6 = 14, and the number of new books is 8.
Therefore, the ratio of all books on the shelf to new books is: 14:8
Hence, the ratio of all books on the shelf to used books is 14 : 6 and ratio of all books on the shelf to new books is 14:8
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Circle A has been transformed to Circle B.
What is the scale factor of Circle A to Circle B?
Scale Factor
=
Image Radius
Pre- Image Radius
Answer: 21
Step-by-step explanation: im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah
Answer:
21
Step-by-step explanation:
I did the test
Hope this helps :)
Jane has been practicing sewing, and she wants to make a rectangular blanket to give as a gift to her best friend. So that the blanket is not too small, Jane decides the blanket will have an area of approximately 40 square feet, or 5,760 square inches. She also wants the blanket to be 18 inches longer than it is wide to have room to embroider her friend's name along one edge.
To the nearest tenth of an inch, what is the width of the blanket?
The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.
What is width in rectangle ?
In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.
Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.
The area of the blanket is given by:
Area = Length x Width
5760 sq inches = (x + 18) inches * x inches
Expanding the right-hand side and solving for x, we get:
\(x^2 + 18x - 5760 = 0\)
We can solve this quadratic equation using the quadratic formula:
\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)
where a = 1, b = 18, and c = -5760. Plugging in these values, we get:
\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)
\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)
x ≈ 67.42 or x ≈ -85.42
Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.
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solve this ...BABABOOEY
Answer:
The answer is G because everything in the problem adds up to G
Answer:
Yes i will solve BABABOOEY
Step-by-step explanation:
What is the value of the expression |-31| + |-9|?
Answer:
40
Step-by-step explanation:
Absolute value means distance and distance is always positive. Absolute value DOES NOT change everything to the opposite. Positive numbers stay positive. Negative numbers change to positive.
|-31| + |-9|
31 + 9
40
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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Write a system of linear equations for the graph below
Answer:
\(\left \{{{y=3-\frac{x}{3} }\atop { y=-2x-2}} \right.\)
Step-by-step explanation:
\((-3,4),(0,3)\\y=3-\frac{x}{3} \\(-3,4),(0,-2)\\\\y=-2x-2\)
The system of linear equations are 3y = 2-x and y = -2x-2
What is a system of linear equations?A system of linear equations is usually a set of two linear equations with two variables.
Given that, a graph,
The two coordinates for first line are (-3, 4) and (0, 3) and for line it is (-3, 4) and (0, -2)
We know, that standard equation of line passing through two points is:
(y-y₁) = (y₁-y₂)/(x₁-x₂)(x-x₁)
Finding the equation for the first line, (-3, 4) and (0, 3)
y-3 = (3-4)/(0+3)(x+3)
y-3 = -1/3(x+3)
y = -x/3+2
3y = 2-x.......(i)
Finding the equation for the second line, (-3, 4) and (0, -2)
y-4 = (-2)(x+3)
y = -2x-2.......(ii)
Hence, the two equations are 3y = 2-x and y = -2x-2
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sharmila recived 81 texts in 9 minutes
Answer:
Step-by-step explanation:
81 texts in 9 hours
So you do 81 divided by 9
Which givrs you 9 text an hour
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
co
5
H
The mapping diagram above|
Set B
✓in
-2
3
O
7
શ function since
where there
Answer:
It is not a function
Step-by-step explanation:
A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.
Here, element "1" has two images 3 and 7. Therefore it's not a function.
f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)
Answer:
(f*g)(x) = 3x³+12x²-7x-28
Step-by-step explanation:
What (f*g)(x) means is that we multiply f(x) by g(x):
f(x) = x+4
g(x) = 3x²-7
(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28
Each card in a set of cards has a different number from 1 to 12 written
on it. A student randomly chooses a card, records the number shown
on the card, and replaces the card. The table shows the results of the
student choosing a card 25 times.
Based on the data in the table, how
many of the next 125 cards the
student chooses could be expected
to have a number shown on the card
that is a multiple of 4?
Results
Answer: 35
Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome
Answer:
35
Step-by-step explanation:
got it right
Erica wants to save $189 for a trip to an amusement park. She sets aside $14 of her allowance at the end of each week. How many weeks will it take her to save enough money for the whole trip?
Answer:
48 weeks
Step-by-step explanation:
189 / 14 = 47.25
If she doesnt get the allowance until the end of the week then she can't have .25 of a week.
PLS HELP FOR REAL!!! WHAT IS THE ANSWER FOR THE 2nd ONE!! I NEED AN EXPLANATION AND ANSWER FOR IT! HUGE POINTS IF ANSWER!
Answer:
76ft^3
Step-by-step explanation:
Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3