Your business requests a 3-month loan for
$500,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.0% and LIBOR is at 2.1%?
interest paid = $ [?]
=
Round to the nearest hundredth.
Entor
Answers
Answer:
im preety sure its 561500
Step-by-step explanation:
4.1% x 4 is 61500 + 500000 = 561500
Related Questions
Dell Computers receives large shipments of microprocessors (chips) from Intel Corp. It must try to ensure that the proportion of defective chips is small and has contracted to keep the proportion of defective chips at 5% or less. Suppose that Dell tests 25 chips (with replacement) out of a shipment of thousands.
a) What is the probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives? If a sample results in at least three defects, does it appear that Intel has provided a shipment which is consistent with the contract? Briefly explain, using the calculated probability.
b) For the shipment described in part a, find the expected number of sampled chips that are defective and the standard deviation of the number of sampled chips that are defective.
c) Suppose that 20% of the entire shipment is defective. What is the probability that more than 17 chips in the sample are good (not defective)?
Answers
Using the binomial distribution, it is found that:
a) 0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.
b) The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.
c) 0.8908 = 89.08% probability that more than 17 chips in the sample are good.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
25 chips are tested, thus, [tex]n = 25[/tex].Item a:
Supposing 5% defective, we have that [tex]p = 0.05[/tex].
The probability is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{25,0}.(0.05)^{0}.(0.95)^{25} = 0.2774[/tex]
[tex]P(X = 1) = C_{25,1}.(0.05)^{1}.(0.95)^{24} = 0.3650[/tex]
[tex]P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2774 + 0.3650 + 0.2305 = 0.8729[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.8729 = 0.1271[/tex]
0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.
Item b:
The mean is:
[tex]E(X) = np = 25(0.05) = 1.25[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{25(0.05)(0.95)} = 1.09[/tex]
The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.
Item c:
20% are defective, so 80% are good, which means that [tex]p = 0.8[/tex]
The probability is:
[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 18) = C_{25,18}.(0.8)^{18}.(0.2)^{7} = 0.1108[/tex]
[tex]P(X = 19) = C_{25,19}.(0.8)^{19}.(0.2)^{6} = 0.1633[/tex]
[tex]P(X = 20) = C_{25,20}.(0.8)^{20}.(0.2)^{5} = 0.1960[/tex]
[tex]P(X = 21) = C_{25,21}.(0.8)^{21}.(0.2)^{4} = 0.1867[/tex]
[tex]P(X = 22) = C_{25,22}.(0.8)^{22}.(0.2)^{3} = 0.1358[/tex]
[tex]P(X = 23) = C_{25,23}.(0.8)^{23}.(0.2)^{2} = 0.0708[/tex]
[tex]P(X = 24) = C_{25,24}.(0.8)^{24}.(0.2)^{1} = 0.0236[/tex]
[tex]P(X = 25) = C_{25,25}.(0.8)^{25}.(0.2)^{0} = 0.0038[/tex]
Then:
[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.1108 + 0.1633 + 0.1960 + 0.1867 + 0.1358 + 0.0708 + 0.0236 + 0.0038 = 0.8908[/tex]
0.8908 = 89.08% probability that more than 17 chips in the sample are good.
A similar problem is given at https://brainly.com/question/24863377
NEED ANSWER FAST FOR BRAINLIEST (MUST GIVE EXPLANATION)
Louise's filling to 2 gallon buckets with water the equation Y equals 0.4 X models the number of gallons of water in the first bucket after X minutes this graph shows the number of gallons in the second bucket after X minutes which statement is true
A- The second bucket will be completely filled five minutes before the first bucket
B-The first book it will be completely filled five minutes before the second bucket
C-The second book it will be completely filled 11 minutes before the first bucket
D-The first bucket will be completely filled 11 minutes before the second bucket
Answers
Let's see
y=0.4xWhen y becomes 2 right?
[tex]\\ \sf\longmapsto 0.4x=2[/tex]
[tex]\\ \sf\longmapsto x=2/0.4[/tex]
[tex]\\ \sf\longmapsto x=5mins[/tex]
Option B
Which linear inequality and its solution set is represented by the graph?
Answers
Answer: im pretty sure its y is more than or equal to 3x - 4
Step-by-step explanation:
A shipping container will be used to transport several 120-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 24000
kilograms. Other shipments weighing 5900 kilograms have already been loaded into
the container. What is the greatest number of 120-kilogram crates that can be loaded
into the shipping container?
Answers
Answer:
150.833... or 150 and 5/6 crates
Step-by-step explanation:
We can create an equation to solve this.
Let x represent the number of 120 kilogram crates that can be loaded into the chipping container.
120x (weight of the crates) + 5900 (weight already in the container) = 24000 (max weight in the container)
We'll start by subtracting 5900 from both sides to try to isolate x, the number of containers we still need to meet 24000 kilograms.
120x = 18100
Now we just have to isolate x by dividing by 120.
x = 150.83333333333333333333333333333
If you want to use a mixed fraction form for this solution since the 3's keep repeating, it would be 150 and 5/6 crates.
Suppose that you and a friend are playing cards and decide to make a bet. If you draw three face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards without replacement, you win $40. Otherwise, you pay your friend $10. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
Answers
Answer:
Step-by-step explanation:
Expected value of the bet =
P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) =(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =
(64/132600) * 40 + (1 - 64/132600) *(-10) =
64/3315 + (132536/132600) * (-10) =
64/3315 - (132536/13260) =
64/3315 - 33134/3315 =
-33070/3315 =
-9.97586726998 =
-$9.98, rounded to the nearest cent
(i.e., the expected value of the bet is a loss of $9.98)
The solution to 3(x-8)+4x=8x+4
Answers
Answer: x = -28
Step-by-step explanation:
1) Distribute
3(x-8)+4x=8x+4
3x-24+4x=8x+4
2) Combine like terms
7x - 24 = 8x + 4
3) Move x(subtract 7x from both sides)
-24 = x + 4
4) Subtract 4 from both sides.
-28 = x
Hope it helps :)
The simplified solution of the given expression is x = -28.
Given that, to determine the simplified solution of the expression 3(x-8)+4x=8x+4
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3(x-8)+4x=8x+4
3x - 24 + 4x - 8x = 4
-x = 4 + 24
-x = 28
Thus, the simplified solution of the given expression is x = -28.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
All items or people of interest in an experiment is called
Answers
Answer: a population
Step-by-step explanation:
Step-by-step explanation:
I think your answer is Population
help me please ^^;
hhhhhhhh
Answers
Answer:
Step-by-step explanation:
whwwyw
if tiles cost $1.15 per square feet , how much would cost to tile aa rectangular room that is 13 feet by 15 feet ?
Answers
Answer:
224.25
Step-by-step explanation:
13x15x1.15
Write an explanation to a friend about how you
would estimate 17 1/5 / 3 4/5.
Answers
Answer:
67/5
Step-by-step explanation:
17 1/5
17x5= 85 + 1= 86/5
3 4/5
3x5=15+4= 19/5
86/5 - 19/5=
86-19= 67/5
hope this helps!
Richard wants to purchase a new Havaianas. The cost of the havaianas he wants to buy is Php299. Richard has saved Php42 for his new purchase. His parents are willing you give him three times what he has saved. On the weekends. Richard cut lawns for Php20 an hour. How many more hours will Richard have to work until he has enough money to purchase his Havaianas?
Answers
Using the required arithmetic operations, the number of mowing hours required to meet up with the cost of the Havannian ls 7 hours.
Cost of Havannian = Php 299Amount saved = Php 42The amount he'll be given by his parents = 3(42) = Php 126
Total amount = 42 + 126 = Php 168
Amount left to meet up cost of Havannian = (299 - 168) = Php 131
Lawn cutting rate per hour = Php 20
Number of cutting hours needed = (Php 131 ÷ Php 20) = 6.55 hours
Therefore, in other to meet up with the cost of the Havannian, hell have to mow for atleast 7 hours.
Learn more : https://brainly.com/question/18112348
The hours Richard would have to work more in order to purchase his Havaians is 7 hours.
The first step to take in order to determine the answer is to determine the total amount Richard has.
Amount saved = Php 42
Amount his parents would give him = php 42 x 3 = php 126
Total amount Richard has = 126 + 42 = Php 168
The total amount Richard has to get in order to purchase the item:
Php 299 - Php 168 = Php 131
The total hours Richard has to work in order to have enough money = Php 131 / 20 = 6.55 hours
This is approximately 7 hours.
A similar question was answered here: https://brainly.com/question/15580066?referrer=searchResults
Find the value of (64)1/2x(125)1/3
Answers
Step by step explanation
64(
1
2
)(125)(
1
3
)
=(32)(125)(
1
3
)
=4000(
1
3
)
=
4000
3
ratios
20:220
10:110
5:55
1:?
Answers
Answer:
1 : 11Step-by-step explanation:
20:220 = 0.09
10:110 = 0.09
5:55 = 0.09
1:11 = 0.09
5−1/4x=15−14/x helppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
x=-41.354157 or x=1.354157
Answer:
x = -2(10 + √114) , x = 2(-10 + √114)
Step-by-step explanation:
5 − 1/4x = 15 − 14/x
-5 -5
----------------------------
-1/4x = 10 - 14/x
*4x *4x
-----------------------------
-x^2 = -56 + 40x
-----------------------------
x = -2(10 + √114) , x = 2(-10 + √114)
Some help ASAP plz 20 points
Answers
Answer:
the answer is 1,8,1, have a nice day
Answer:
1, -8, -1
Step-by-step explanation:
The coefficients of a function are the constants that are in front of the variables. For the function [tex]t-8t^{9} -t^{7}[/tex], the coefficients would be 1, -8, and -1.
Find the percent of change from
10 yards to 15 yards
1. 5%
2. 33%
3. 15%
4. 50%
Answers
Answer:
option 4
Step-by-step explanation:
Percent change is calculated as
[tex]\frac{change}{original}[/tex] × 100%
change = 15 - 10 = 5 , then
percent change = [tex]\frac{5}{10}[/tex] × 100% = 5 × 10% = 50%
in the adjoining graph the point a is the position of a policeman in the point p is the position of a Thief how far is the thief from the policeman 1 unit is equal length to 20 m
Answers
Answer: 5 up and 7 side
Step-by-step explanation:
How do I Graph 2y=-8
Answers
You solve this with inverseoperations
HELP!!!!! Someone answer ASAP PLEASE!!!!
Answers
Answer:
thay are independent
Step-by-step explanation:
I only know that they are independent but Don't really know how to explain and do step by step.
Answer:
a, =to 13 and B, is to 45 and C,13 D, 14 of tells
Ms.Taylor buys 8 picture books and 12 marker
Answers
Answer: Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.
142.8 is the book price 27 is the marker price added together equal 169.8
Step-by-step explanation:
Answer:
$169.80
Step-by-step explanation:
Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.
17.85*8=142.8
2.25*12=27
142.8+27=$169.80
help me answrr the 4th question please
Answers
Step-by-step explanation:
gcvnjgcnhkk xdhvchjjudvhtuk xecn9
solve {-20-5x}-70=-40
Answers
Answer:
x = -10
Step-by-step explanation:
The equation of a line is given below.
8x+2y=-2
Find the slope and the y-intercept.
Then use them to graph the line.
Answers
2y = -8x - 2
y = -4x - 1
-4 is the slope, and -1 is the y-intercept is -1.
4. What is the mode of the data set below? (1 point) 0, 1, 1, 0, 2, 3, 2, 1, 0, 4, 1, 1
Answers
There are 5 1’s and 3 0’s so the mode is 1
It usually helps to sort the values...
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4
as this makes finding the median easier as well
Alita wants only one green pepper. the price is three for $1.48 how much will one pepper cost?
Answers
Answer:
$0.493
Step-by-step explanation:
1.48 divided by 3
PLEASE HELP ITS MATH THANK YOUUUU
Answers
Answer:
144%
Step-by-step explanation:
There are multiple ways to do this but here's the way I used:
2.50/100 = .025
Based on this, 1% of 2.50 is 0.025.
6.10-2.50 = 3.6
3.6/0.025 = 144
Based on this, 3.4 is 144 times greater than 0.025 (1%). So 3.4 is a 144% increase.
Help please :))) thank u
Answers
Answer:
The distance between A and B is 8.5 after rounded to the nearest tenth
Step-by-step explanation:
The formula you always use for distance between points is as pictured.
Point A is (-6, 4), this is x1 and y1
Point B is (2, 1), this is x2 and y2
(2-[-6])^2 + (1-4)^2
since 2 negatives make a positive, 2 - -6 = 8
1 - 4 = -3
This makes 8 squared and -3 squared
8x8 = 64
-3x-3 = 9
64 + 9 = 73
the square root of 73 = 8.544003745
After rounding to the nearest tenth, it is 8.5
I hope this helps you! Good luck :)
as part of a campaign to promote it's annual clearance sale
Answers
Answer:
is this a question or not?
Step-by-step explanation:
Is -45.58 an integer
Answers
Answer: Yes
Step-by-step explanation: Because a integer is -45.58
Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is __ Please help!!!
Answers
Answer:
y = 1/2x - 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 2 / -2 - 6
-4 / -8
= 1/2
y = 1/2x + b
-2 = 1/2(-2) + b
-2 = -1 + b
-1 = b
