Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It will take 308 months for Diego to pay the complete loan.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = P×T×R
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The interest that will be charged on the principal amount is,
SI = $159,000×30×0.0505 = 240,885
Now, the total amount that Diego needs to pay is the sum of interest and principal, therefore,
Total amount = $159,000 + $240,885 = $399,885
Further, since each month Diego is paying $1300, therefore, the number of months it will take to pay the complete loan is,
Number of months = $399,885/$1300 = 307.6 ≈ 308
Hence, it will take 308 months for Diego to pay the complete loan.
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Consider two events such that P(A) = equals 3/5 , P(B) = 2/3 , and P(A ∩ B) = 1/5 . Are events A and B independent events?
Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)
Yes, they are independent because P(A) ⋅ P(B) ≠ P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) = P(A ∩ B)
Answer:
Option 2
Step-by-step explanation:
Checking whether P(A) × P(B) = P(A∩B) :
3/5 x 2/3 = 1/52/5 ≠ 1/5Since this does not obey the Multiplication rule of probability, these events are not independent.
So, the answer is :
No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)
Answer:
Option B
Step-by-step explanation:
Option A should be true if they are independent
P(A)P(B)3/5×2/32/5≠1/5So
They are dependant
the original price for a set of golf clubs is $500 at the beginning of the seasons the price was marked up by 20% at the end of the seasons the price at the beginning of the season is marked down by 20% how does the final price compare with the original price of $500
Answer: The final price is less than the original
Step-by-step explanation:
Let us break this down a bit.
The original price is $500
-> At the beginning, the price was marked up by 20%
-> At the end, the price at the beginning of the season is marked down by 20%
We are solving for: "How does the final price compare with the original price of $500"
First, we will find the price at the beginning.
-> Please note a percent divided by 100 becomes a decimal
20% / 100 = 0.2
$500 * 0.2 = $100
$500 + $100 = $600
Now, we will find the price at the end.
$600 * 0.2 = $120
$600 - $120 = $480
The final price is less than the original price of $500.
Answer:
Step-by-step explanation:
price marked up by 20%= 500+ [tex]\frac{20}{100}[/tex]×500
=$600
price marked down by 20%= 600- [tex]\frac{20}{100}[/tex]×600
=$480
the final price is less than the original price
Examine the ordered pairs in this function.
(8,5), (-3,8), (11,-1), (10,-5), (4,4)
True or False: This relation IS a function.
True
False
Answer:
True
Step-by-step explanation:
A relation is a function when each input has exactly one output. Looking at the coordinates given, none of the inputs(x-values) are repeated. Therefore, the relation is a function.
NEED HELP PLEASE ANSWER ASAP! (44)
Answer:
[tex]-3x^2 * x = -3x^3\\y * y = y^2[/tex]
[tex](-3x^2y)(5xy^2 + xy)\\[/tex]
Use F.O.I.L, (First Outer Inner Last) to multiply. Start with -3x^y * 5xy^2
Start with similar terms
[tex]-3x^2 * 5x = -15x^3\\y * y^2 = y^3\\Therefore,\\-15x^3y^2[/tex]
Move onto the xy portion of the problem
[tex]-3x^2y(xy)\\[/tex]
Start with similar terms
[tex]-3x^2 * x = -3x^3\\y * y = y^2\\Therefore,\\-3x^3y^2[/tex]
Combine the two together
[tex]-15x^3y^3 - 3x^3y^2\\[/tex]
The answer is Option A
Answer:
44. (1) -15x³y³ - 3x³y²
Step-by-step explanation:
Question 44
-3x²y (5xy² + xy)(1) -15x³y³ - 3x³y²208 ,204 ,200 45th term
Answer
32
Step-by-step explanation:
This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.
is the formula for an arithmetic sequence.
= nth term
a = the first term in the sequence
n = term you are looking for (in this case 45)
d = common difference between the terms (in this case -4)
Find the volume of the composite space figure to the nearest whole number.
2 mm
9 mm
16 mm
Not drawn to scale
A. 1306 mm³
B. 450 mm³
C. 797 mm³
• D. 514 mm³
The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be 796.94 cubic mm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The graph is given below.
The geometry is defined by the combination of rectangular prism and half-cylinder. Then the volume of the composite geometry will be
Volume = [(πr²/2) + a x b] x h
Volume = [(π x 4.5²/2) + 9 x 2] x 16
Volume = [10.125π + 18] x 16
Volume = 48.808 x 16
Volume = 796.938
Volume ≅ 796.94 cubic mm
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Can someone help me with this please?
A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.
Event A: The first ticket is a concert ticket.
Event B: The second ticket is a concert ticket.
about ___%.
Mr. Jones grades 12 exams
in 2 hours. At that rate,
how many hours would it
take to grade 48 exams?
Answer:
8 hours
Step-by-step explanation:
12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams
Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know
Answer:
8 hours
Step-by-step explanation:
To solve this it seems you need to set up a proportion.
12/2=48/x
cross multiply the 2 and 48.
2•48=96.
divide by the remaining number to get x.
96/12=8.
What percent of 4c in each expression?
0.04c
Answer:
1%
Step-by-step explanation:
0.04c multiplied by 100 is 4.
Answer:
1%
Step-by-step explanation:
Mostly because you see 0.04c is exactly 1% of 4c. Which means a hundred 0.04c will be required to get 4c.
What is the sum of the interior angles of the polygon shown below?
Answer:
30600
Step-by-step explanation:
Use the diagram and cosine function to find the value of x.
D
--
x=9.4cos(58°)
because the cosine function uses the ratio of the adjacent side to that of the hypotenuse.
9.4 is the hypotenus the ration is 58 degrees I believe
[tex]\\ \rm\Rrightarrow cosA=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow cos58=\dfrac{x}{9.4}[/tex]
[tex]\\ \rm\Rrightarrow x=9.4cos58[/tex]
Option D
answer the question
Answer:
A. 20.5
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the intercepted arc. For example, If the intercepted arc is 11 then the Inscribed angle is 1/2 or 5.5! hope this helps ya!
This figure shows the dimensions of an A frame house.
What is the volume of the house?
Enter your answer in the box.
V =
ft³
Find the value of k so that the remainder is 2 for (x^4- 12x^3+3x^2– kx - 4) = (x+1).
Answer:
the answer is k=-4 hope this helps
the value of -1/4 (3.2)
Answer:
-0.8
Step-by-step explanation:
We can change -1/4 to -0.25. Now, we just multiply and get -0.8
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How can logistic regression be used as a classifier? Group of answer choices Logistic regression can be used as a classifier by limiting the domain of the logistic function to positive real numbers only. Logistic regression can be used as a classifier by using a threshold on the outcome of the logistic function and using this threshold to classify the inputs. Logistic regression can be used as a classifier by expanding the range of the output of the logistic function. Logistic regression can be used as a classifier by removing the nonlinear relationship between input and output.
Logistics regression can be used as a classifier by Logistic regression can be used as a classifier. The second option is correct.
What is logistics regression?This is a predictive type of analysis. What is done here is that this type of analysis helps in the description of data and the probability of events happening.
It is based on a given set of independent variables in the regression equation.
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Graph the inequality
y≤2
Answer:
straight line on 2 on the y axis
Step-by-step explanation:
Its just a straight line on 2 on the y axis
Read the excerpt from "A Century Ride.” Lizzie Dunlop patted the small lady’s shoulder soothingly. "There, there, little iceberg,” she said, "let it all be buried! It’s forgotten. You shall never be worried about it again. You are here to enjoy every moment of your holiday, and to tell me the news of civilization, and to take rides across the prairie. What a blessing we have a decent road for the velocipede—I beg pardon—bicycle! You must have lots of grit to mount that scary machine; and—oh! Maude! How can you want to be a surgeon? I should die if I saw a man cut up and mangled; but you are a marvel!” Which phrase from the excerpt is most like the modern language used in writing? There, there little iceberg You are here to enjoy every moment You must have lots of grit I should die if I saw a man cut up
The phrase in the excerpt that is most similar to the modern language used in writing is "You are here to enjoy every moment".
What is modern language?It corresponds to a language that is in current use in society, being a term used to differentiate a language that is still used for communication from a language that is not used anymore today, such as Latin.
Therefore, the phrase relates to the values of modern society with regard to the use of words and the message that the author wants to convey to readers.
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Answer:
b
Step-by-step explanation:
19. A soccer field is a rectangle 90 meters wide and 120 meters long. If you were
asked to run from one corner to the other corner diagonally across, what is the
distance?
a. 150 meters
b. 1500 meters
c. 15 meters
d. 200 meters
Tickets for a concert are sold at a rate of 370 tickets per hour. At this rate, how long will it take to sell all the tickets for a 2100-seat auditorium?
Answer:
5 hours and 42 mins
Step-by-step explanation:
The sum of 7.2 and a number is 10
Someone help?
Answer:
2.8
Step-by-step explanation:
Just substract 7.2 from 10
You get: 2.8
Answer:
2.8
Step-by-step explanation:
because 7.2 plus 2.8 equals
The side lengths of the rectangle are multiplied by 1/3 what is the new area
Answer:
New area is 1/9th the original area
Step-by-step explanation:
Original area = L x W
now reduce the side lengths
1/3 L x 1/3 W
1/3 * 1/3 * L x W
1/9 L x W <===== the new area is 1/9th the original area
(1 - cot theta) ^ 2 + (1 + cot theta) ^ 2 = 2cosec ^ 2 theta
[tex]\text{L.H.S}\\\\=(1 - \cot \theta )^2 + (1 + \cot \theta)^2 \\\\=(1-\cot \theta + 1 + \cot \theta)^2 - 2(1 -\cot \theta)(1 + \cot \theta)\\\\=2^2 - 2(1 - \cot^2 \theta)\\\\=4-2+2 \cot ^2 \theta\\\\=2+2 \cot^2 \theta\\\\=2(1 + \cot^2 \theta)\\\\=2 \csc^2 \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Root of 3 time the root of
5
Answer:
root of 15 or in decimal form 3.87 (rounded)
Step-by-step explanation:
You just multiply both together
[tex]12x ^{2} + 4x + 20[/tex]
I'm really struggling with finding the greatest common factor.
could someone please explain in simple terms?
The GCF is 4
The polynomial factors to [tex]4(3x^2+x+5)[/tex]
==========================================================
Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
12 = 2*2*34 = 2*220 = 2*2*5Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
[tex]12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)[/tex]
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).
Please help me answer these
Answer:
98
Step-by-step explanation:
b(c(3))
b(3(3)-2)
2(3(3)-2)^2
2(9-2)^2
2(7)^2
2(49)
98
Find the length of the missing side. Write your answer as a number rounded to 2 decimal
places. Example: 2√3 = 3.46
If m/C=
= 30° and AB =18, find the length of BC =
A
C
B
Answer: BC = 80
Step-by-step explanation:
One of the many Pythagoean Triplets is 18, 80, and 82. This is the only one with 18 as one of the sides other than the hypotnyse.
2.5h + 3.1 = 13.1 what is h?
Answer:
h=4
Step-by-step explanation:
what’s the circumference, to this problem ?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].
We can then input the value and we get that [tex]C=5*\pi[/tex] which then just narrows down to [tex]C=15.708[/tex].
Hope this helps! Let me know if you have any questions
When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)
The probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total outcomes = 36
The probability that the sum is 12:
P(A) = 1/36
The probability that the sum is less than 5:
P(B) = 6/36
The probability:
P(sum of 12 OR <5) = 1/36 + 6/36 = 7/36
Thus, the probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.
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