Answer:
$13.5
Step-by-step explanation:
l= P×R×T/100
I= 12,500×9×12/100
l= $13,5
The interest earned for his investment after 12 years is $13,500.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, P=$12,500, rate of interest=9% and time period=12 years.
Here, simple interest = (12500×9×12)/100
= 1350000/100
= 13,500
So, the interest is $13,500
Therefore, the interest earned for his investment after 12 years is $13,500.
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The listed occupations of stockholders of a national computer company included 9% who were housewives. If six of these stockholders are randomly selected, what is the probability that none are housewives?
Answer:
no se la respuesta
Step-by-step explanation:
no se la respuesta
The probability that none of the six selected stockholders are housewives is,
⇒ 56.8%
The term probability refers to the likelihood of an event occurring. Probability means possibility.
The probability of an event occurring can be calculated by subtracting the probability of the event not occurring from 1.
Given that,
The listed occupations of stockholders of a national computer company included 9% who were housewives.
Since 9% of the stockholders are housewives.
Hence, the probability that a randomly selected stockholder is not a housewife is,
= [tex]1 - 9%[/tex]%
= [tex]1 - 0.09[/tex]
= [tex]0.91[/tex]
So, The probability that none of the six selected stockholders are housewives is,
⇒ [tex](0.91)^6[/tex]
⇒ [tex]0.5678[/tex]
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The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?
Answer:
9 degrees farenehit
Step-by-step explanation:
=====================================================
Explanation:
x = number of hours since 2 AM
y = temperature in degrees Fahrenheit
The starting temperature is -15 degrees, so the y intercept is b = -15.
The temperature goes up 3 degrees each hour, so the slope is m = 3
The equation is y = 3x-15
Now plug in x = 4 since 6 AM is four hours after 2 AM.
We get the following
y = 3x-15
y = 3*4-15
y = 12-15
y = -3
The temperature at 6 AM is -3 degrees Fahrenheit.
-------------------------
Check:
Start at -15 and add 3 for each hour
It might help to make a number line.
2 AM = -15 degrees
3 AM = -12 degrees
4 AM = -9 degrees
5 AM = -6 degrees
6 AM = -3 degrees
This confirms the answer.
Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries? A. B. -1.872 – 1.615 + 217.55 > 255 -1.812 + 21.61r + 217.55 > 255 -1.8r2 – 21.611 + 217.55 < 255 C. D. -1.812 + 1.61x + 217.55 < 255
Answer:
A. -1.8x² – 1.61x + 217.55 > 255
Step-by-step explanation:
Since Pattie's Produce charges $2.29 for a package of strawberries and 95 packages can be produced daily. The money gotten daily = $2.29 × 95 packages = $217 Since 20 cent increase leads to 9 less package.
The number of 20-cent increases in the cost of a package of strawberries can be gotten from:
(2.29 + 0.2x)(95 - 9x) > 255
217.55 - 20.61x + 19x - 1.8x² > 255
-1.8x² - 1.61x + 217.55 > 255
Answer:
A. -1.8x² – 1.61x + 217.55 > 255
Step-by-step explanation:
EDMENTUM
16/25 divided by 15/8
Answer:
128/375
Step-by-step explanation:
16/25 divided by 15/8
16/25 X 8/15 = 128/375
Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
3 feet
6 feet
10 feet
letter B 3 feet
Step-by-step explanation:
he needs three more to get 6 meters of wood
Question 6 of 10
What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = } - 7?
A. The graph of f(x) is shifted 7 units to the right.
B. The graph of f(x) is shifted 7 units down.
C. The graph of f(x) is shifted 7 units to the left.
O D. The graph of f(x) is shifted 7 units up.
SIR
Answer:
D I'm pretty sure
Step-by-step explanation:
Answer:
Its B. i just did this question.
Step-by-step explanation:
Tell whether the sum is positive, negative, or zero without adding them.
-8 + 20
Answer:
The sum is positive.
Step-by-step explanation:
The 20 is a far greater value than -8, so no matter what, when you add them the sum will be positive. Though this would not be the same were the -8 greater than -20.
Hope this helps!
HELP EASY ASAP MULTIPLE CHOICE
Answer:
It's the first one 18/3 =6
Step-by-step explanation:
This is the only answer that has all integers or whole numbers. Hope this helps!
Answer:
Its the fisrt one cause its the only one with a whole number.
Step-by-step explanation:
What is the product of-3 and-13? Enter your answer as a mixed number, in simplified fom, in the box
Answer:
39
Step-by-step explanation:
-3x(-13) = 39.
If this question was asking for something different I apologize.
Write an equation in point-slope form for the line that is parallel to y = 3/4x -
3 and passes through point (4,3).
Answer:
The point-slope form of the equation of the parallel line is y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe point-slope form is of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the coordinates of a point lies on the line∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3
→ Compare it with the first form of the equation above
∴ m = [tex]\frac{3}{4}[/tex]
∴ The slope of it is [tex]\frac{3}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]\frac{3}{4}[/tex]
∵ The point-slope form is y - y1 = m(x - x1)
→ Substitute the value of the slope in the form of the equation above
∴ y - y1 = [tex]\frac{3}{4}[/tex] (x - x1)
∵ The line passes through the point (4, 3)
∴ x1 = 4 and y1 = 3
→ Substitute them in the equation above
∴ y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
∴ The point-slope form of the equation of the parallel line is
y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
whats 62.7×2.45......?
Answer:
153.615
Step-by-step explanation:
62.7 × 2.45=153.615
A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
diride 660cm in the ratio of 5:6
Answer:
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Step-by-step explanation:
Equations
We are required to divide 660 cm in the ratio 5:6, or 5/6.
Let's call:
x = first part of 660
660 - x = second part of 660
The ratio between them is 5/6.
[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]
The above equation will result in x as the smaller part of 660.
Multiply by (660-x)*6 to eliminate denominators:
[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]
Operating:
[tex]6x=(660-x)*5[/tex]
[tex]6x=3300-5x[/tex]
Simplifying:
[tex]6x+5x=3300[/tex]
[tex]11x=3300[/tex]
Solving:
[tex]\displaystyle x=\frac{3300}{11}=300[/tex]
The other part is 660 - 300 = 360
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Helpp thanksssss........
Answer:
4/10
Step-by-step explanation:
4/5 ÷ 2/1
4/5 * 1/2
2/5 or 4/10
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. When each data class has the same frequency, the distribution is symmetric. Choose the correct answer below.
a. The statement is true.
b. The statement is false. When each data class has the same frequency, the distribution is bimodal.
c. The statement is false. When each data class has the same frequency, the distribution is skewed left.
d. The statement is false. When each data class has the same frequency, the distribution is skewed right.
Answer:
A; the statement is true
Step-by-step explanation:
In this question, we are to select which of the options is correct according to the initial statement.
The statement is true.
If the data classes have same frequency, then the distribution is said to be symmetrical in nature.
What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.
miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?
Please help me with all the answers please say like 1: the answer 2: the answer like that thank you so much
Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.
Answer:
X= 32 Y= 35
Step-by-step explanation:
We know FOB is parralel to AOE meaning x= 32
also, COH = 90 so GOD is also 90.
a straight angle is 180, so
23+90+x or 32= 145,
180-145=35,
y=35
Answer:
X=32
Y=35
Step-by-step explanation:
We know x is 32 because FOB is parrallel to AOE.
We also know that DOG is 90 because COH is 90, and parallel to DOG
So, we can do:
90 + 23 + 32 =145
180-145=35, which is Y
Assuming part a is correct, how do you do b and c?
Step-by-step explanation:
B. Yes, we are 99% confident that the population mean is within the interval.
C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.
D. No. Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9. So the interval minimum would still be higher than 225.
2) If U is between T and B, find the value of x and the lengths of the segments Label the line show all work
to answer the questions. (4 points)
T
U
B
TU = 2x, UB = 3x, TB = 20
X =
I
TU=
UB=
Number 2
Which of these steps will eliminate a variable in this system? 4x-9y=8 2x+3y=24
For eliminate a variables we need addition method or elimination method.
Define the term Variable?In an equation or formula, a variable is a symbol or letter that stands in for an unknowable or varying quantity or value.
We can multiply the second equation by -2, so that the coefficient of x in both equations will be the same but with opposite signs:
⇒ 4x - 9y = 8
⇒ -4x - 6y = -48
Add the two equations together: ⇒ -15y = -40
⇒ y = 8/3
Substitute this value of y back into either equation to solve for x.
⇒ 4x - 9(8/3) = 8
⇒ 4x - 24 = 8
⇒ x = 8
Therefore, the steps to eliminate a variable in this system using the addition method are to multiply the second equation by -2, add the two equations together to eliminate the x variable, solve for y, and then substitute that value back into either equation to solve for x.
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guys what is 265 divided by 53
Answer:
5
Step-by-step explanation:
265/53= 5
Answer:
265÷53=5
Step-by-step explanation:
just get a calculator
A study conducted in year 2002 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. She declares the null and alternative hypotheses to be: Null: The mean number of children per household in 2002 is equal to 1.7; Alternative: The mean number of children per household in 2002 is not equal to 1.7. Which of the following statements is true about this test?
a. This is a step-tailed test.
b. This is a left-tailed test.
c. This is a two-tailed test.
d. This is a right-tailed test.
Answer:
c. This is a two-tailed test.
Step-by-step explanation:
When the rejection region is divided between the two tails of the sampling distribution of the test statistic the test is referred to as two tailed or two sided test. In this case the alternative is set up as
Ha : u≠ 1.7
meaning that values both larger and smaller than u are to be included.
When the alternative hypothesis has the "not equal to sign" it gives the two tailed test.
PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS
Answer:
The umbrella will fit in, but there will be a lot of extra room.
Step-by-step explanation:
Remember the Pythagorean theorem:
x^(2) + y^(2) = n^(2)
where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse
In this problem it is given that the sides (legs) are:
38in, and 24in
and diagonally across is 29in
so the hypotenuse is 29in
therefore we can form the equation:
38^(2) + 24^(2) = 29^(2)
without solving it is clear that
38^(2) + 24^(2) > 29^(2)
because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,
but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room
Answer:
see below
Step-by-step explanation:
The umbrella should fit
The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
Take the square root of each side
sqrt(900) = sqrt(c^2)
30 =c
As long as the umbrella is less than 30 inches, it should fit
The umbrella is 29 inches so it should fit
65% of what is 39?
Answer:
The answer is 25.35
Step-by-step explanation:
Hope this helps:)
Answer:
60
Step-by-step explanation:
65 % of 60 = 39
With the money she had saved by working, Jennifer wanted
Answer:a car
Step-by-step explanation:
6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent?
I don't understand with this question, can you help me with this pls?
Answer:
By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.
Step-by-step explanation:
Solve A=4πr² for π. What is the solution to this problem?
Answer:
A/4r²=π
Step-by-step explanation:
A=4πr²
Divide each side by 4r²
A/4r²=4πr² /4r²
A/4r²=π