The value of the proceeds on the third party discount note for the specified condition is $5968.28
How to calculate proceeds?Proceeds is the difference between maturity value of the original rate and the third party discounts. Or,
Proceeds = Maturity value of the original rate - Third party discounts
How to calculate the maturity value of the original rate?Let we take:
P = principal amount on which interest will be applied.R = interest rateT= time period for which interest will be applied,Then we get:
Maturity value = P(1 + RT) (use decimal value of R instead of percent. For that, divide the percentage value by 100 to convert it to decimal (if its in percent) ).
How to calculate the third party discounts?Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.
Thus, we get:
Third party discount = Maturity value × R × T (R in decimal form).
For this case, we're specified that:
P = principal amount on which interest will be applied = $6000Rate of interest = R = 11% = 0.11 (in decimal form) (annually)Time = from 17th march till 14th november.Using banker's rule (which assumes 360 day year with 30 day months), we get:
Number of days from 17th march till 14th november = number of days from 17th march till 16th november - 2 = [tex]8 \times 30 - 2 = 238[/tex] (as there are 8 months in between, all of assumingly 30 days)
Converting this to year, we get:
[tex]T = \dfrac{238}{360} \approx 0.661[/tex] years.
Thus, we get:
Maturity value = [tex]P(1 + RT) \approx 6000 (1 + 0.11 \times 0.661) = 6436.26 \: \rm dollars[/tex]
And therefore, we get:
Third party discount = Maturity value × R × T = [tex]6436.26 \times 0.11 \times 0.661 \approx 467.98 \: \rm dollars[/tex]
Thus, the value of the proceeds on the third-party discount is:
maturity value - third party proceeds = [tex]6436.26 - 467.98 = 5968.28 \: \rm dollars[/tex]
Thus, the value of the proceeds on the third party discount note for the specified condition is $5968.28
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rewrite each equation in exponential form. log 100=2
Answer:
10x^{2} = 100Step-by-step explanation:
Use the definition of a logarithm, logb(x)=y ⟹ by=x, to convert from the logarithmic form to the exponential form.
Hopefully this helps you
- Matthew
please help me it's urgent
Answer: go to the website
Step-by-step explanation:
A standard number cube is tossed. Find P( greater than 3 or odd).
Answer:
Step-by-step explanation:
P= probablity
P (>3 or odd)
assuming this std. number cube is 1 to 6, then,
greater than 3 is 50%
so we've accounted for 1, 3, 4, 5, 6 on the dice what's left 2 :D
so P( >3 or odd) = 5/6 or 83.3333333333333%
Answergrater than 3
Step-by-step explanation:
. If you have a cube measuring 1 unit on
each side, how many of those cubes
would fit into a space 5 units by 5 units
by 5 units?
Answer:
cubes = (5)(5)(5)
number of cubes =125
to fit
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
e
is congruent with x f is congruent with x and g is congruent with y Step-by-step explanation:
angle E = angle X
angle F = angle Y
angle G = angle Z
hope it helps...!!!
Sophia invest money in an account paying simple interest. She invest 100$ and no money is added or removed from the investment. After one year, she has 108. What is the simple percent interest per year ?
Answer:
8%
Step-by-step explanation:
She earned 8 dollars on a 100 dollar investment
8/100 = 8%
The answer is 8%
What Is Simple Interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Given here: Principal as $100 and return as $108 and t=1
Thus 8=100×1×r /100
r=8%
Hence, The rate of interest is 8%
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Which is the correct option, I’m very confused by this question?
sin2x=
Answer:
The answer is definitely Option A
what is the product of mixed number 2 x 2 7/8?
Answer:
[tex]5\frac{3}{4}[/tex]
----------------------------------------------------------------------------------------------------------
Since we have to convert mixed numbers to fractions, [tex]2\frac{7}{8}[/tex] becomes [tex]\frac{23}{8}[/tex]
And for whole number, add a 1 as the denominator.
[tex]\frac{2}{1}[/tex]
Now, the equation becomes...
[tex]\frac{2~*~23}{1~*~8}[/tex]
[tex]2 * 23 = 46[/tex]
[tex]1 * 8 = 8[/tex]
Convert these two numbers to a fraction.
[tex]46~and~8~-- > ~\frac{46}{8}[/tex]
Simplify 46 over 8 and make it a mixed number.
[tex]\frac{46}{8} -- > 5\frac{3}{4}[/tex]
why is the denominator 4? we had to simplify 8 using its GCF along with 46
the GCF is 2, so simplify using 2. to simplify, divide the number by its GCF.
[tex]\frac{46}{2} = 23\\\\\frac{8}{2} = 4[/tex]
now you have [tex]\frac{23}{4}[/tex]
and that, in mixed number, translates to [tex]5\frac{3}{4}[/tex]
________________________________________________________
Questions?Ask in comments.
a
It takes 15 minutes to drain a pool containing
45 gallons of water. If a similar pool takes 35
minutes to drain at the same rate, how many
gallons of water are in the similar pool?
Answer:
there is 92.25
Step-by-step explanation:
15x2=30
then you have to find out 5% out of 45 because you need to get 35 not 30.
Find the surface area of the cylinder. Round your answer to the nearest tenth.
34.321 greater than 34.3211
Answer:
It's not
Step-by-step explanation:
To know this, you have to put a zero to the right.
So it'd be 34.3210, and as you can see, 34.3211 is greater
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
Remark
All you need do is find the radius and put it into the formula V = (4/3) pi r^3.
Givens
d = 12 yards
r = d/2
Solution
r = 12 yds/2 = 6 yds
V = 4/3 pi r^3
V = 4/3 * 3.14 * 6*6*6
V = 904.32
Answer 904.4 yd^3
Pls help i need an A my mom is going to get mad at me pls help i will give 62 points
Answer:
Both of those tables show a proportional relationship between x and y.
Step-by-step explanation:
In the second table the values all equal 0.75 when divided.
In the first table the values all equal 1.25 when divided.
A 2-cup bottle of glass cleaner costs $9.12. What is the price per fluid ounce
Answer:
$0.57
Step-by-step explanation:
In one cup there are eight fluid ounces
To find the cost per fluid ounce all you have to do is divide the price by how many ounces]
To find ounces= 2x8=16
To find price per ounce 9.12/16= .57
Please see attached photo for problem from my homework set.
Answer: (x - 1)(x - 23)
Step-by-step explanation:
First, we can factor the x² part:
(x)(x)
Next, we will look at the -24x and +23
-> We need two numbers that multiply to 23 and add to -24
-> 23 is a prime number, so we will use 1 and 23
For -24, 1 and 23 must be added together. Since a negative times a negative is a positive, and a negative plus a negative is a positive, we will turn them into -1 and -23.
This gives us a final answer of:
(x - 1)(x - 23)
Answer: (x - 1)(x - 23)
Step-by-step explanation:
attached the picture below of the working...
hope that helps...
Brainliest for who can help!!
I think it's like this.
Hope this helps
Ayden is 1.85 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 39.55 meters. He stands 35.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The height of the tree is 4.15m
We are given that
Height of Joshua, h=1.85 m
Length of tree's shadow, L=39.55 m
Distance between the tree and Joshua=35.4 m
We have to find the height of the tree.
BC=35.4 m
BD=39.55m
What is the height?CD=BD-BC
CD=-35.4 m=4.15 m
EC=1.45 m
All right triangles are similar. When two triangles are similar then the ratio of their corresponding sides is equal.
[tex]\triangle ABD=\triangle ECD[/tex]
[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]
Substitute the values
[tex]\frac{AB}{1.45}=\frac{39.55\times 1.45}{4.15} \\\\AB=20.39[/tex]
Hence, the height of the tree=20.39 m
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Patricia was having fun playing a card game. To win the game, she
needed the next two cards dealt to be yellow cards. There are 12
cards left in the deck, and three are[yellow.
What is the probability that the two cards dealt to Patricia will both
be yellow?
Answer:
25
%
Step-by-step explanation:
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The probability that the two cards dealt to Patricia will both be yellow
is 1/4.
What is the probability?In mathematics, probability refers to the likelihood of an occurrence occurring. Simply put, how frequently the incidence occurs over a certain period of time.
Given, there are 12 cards left in the deck, and three are yellow.
To find the probability:
The probability= number of yellow cards in the deck / total number of cards in the deck.
= 3/12
= 1/4
Therefore, the probability is 1/4.
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urgent help please! ^^ <3
Answer:
Lower quartile = 6
Median = 8
Upper quartile = 9
Step-by-step explanation:
If you take away a number from each end of the number set one by one, you will end up with 7 and 9 in the middle. To find the median between two numbers, add them together then divide them by 2.
7 + 9 = 16
16 ÷ 2 = 8
_________________
To find the lower and upper quartiles, split the number set into two where the median is, then, find the median of those two sections.
Lower quartile: 4, 5, 6, 6, 7
Median = 6
-
Upper quartile: 9, 9, 9, 9, 9
Median = 9
So, the median of the whole set is 8, the lower quartile is 6, and the upper quartile is 9.
hope this helps!
Factor the binomial.
4z2 − 25
4z2 − 25 =
[tex]4z^2-25\\\\=(2z)^2-5^2\\\\=(2z+5)(2z-5)[/tex]
mr jones told his students they each need half of a piece of paper calvin cut his piece of paper horizontally and mathew cut his piece of paper diagonally which student has the larger area on his half piece of paper
Answer:
Both
Step-by-step explanation:
After cutting the paper, both Calvin and Matthew have the same area. Calvin cut his into two rectangles that are each half the area of the original piece of paper. Matthew cut his paper into two equivalent right triangles that are also half the area of the original piece of paper.
lisa rides her bike 15.25 miles to and from her job each week. How many miles does she bike in all to and from work in 19.5 weeks?
Answer:
297.375 miles
Step-by-step explanation:
Since lisa rides 15.25 miles in 1 week and we are looking for how many miles she rides in 19.5 weeks, we must multiple 15.25 miles by 19.5 because she rides 15.25 miles, 19.5 times.
15.25*19.5=297.375
The direct route from Marta's apartment to work is a road that is a straight line. The road is closed for repairs. Marta had to drive 8 miles west and then 6 miles south to get to work. She returned home by the same route. How many miles would she have saved round-trip if she had taken the direct route?
She would have to take 5.29 miles to save round-trip if she had taken the direct route.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
The direct route from Marta's apartment to work is a road that is a straight line. The road is closed for repairs.
Marta had to drive 8 miles west and then 6 miles south to get to work. She returned home by the same route.
Let's consider x to be the direct route.
By Pythagoras theorem, we can find the direct route
[tex]x^{2} = 8^{2} +6^{2} \\\\x^{2} = 64 - 36\\\\x^{2} = 28\\\\x= \sqrt{28} \\\\x= 5.29[/tex]
Thus, She would have to take 5.29 miles to save round-trip if she had taken the direct route.
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Efficiently solve
A. 30x70+37x70
B. 335x11-135x11
C. 223x87-123x87
D. 3.2x120+16.8x120
E. 555x0.08-545x0.08
F. 3.45x17-1.45x17
G. 0.7x0.7x85
Thanks so Much if you Help me!
Answer:
Step-by-step explanation:
A. 2100+2590= 4,690
B. 3685-1485=2,200
C. 19,401-10,701= 8,700
D. 384+2,016=2,400
E. 44.4-43.6=0.8
F. 58.65-24.65=34
G. 41.65
What is the value of x
Answer:
your answer is 20.
Step-by-step explanation:
x^2+4^2=(2+x)^2
Can y’all help me pls
Answer:Sure, what do you need help with
Step by step explanation:
Sure, what do you need help with
Larissa spent $280 per month on
clothes and a total of $2,920 for food
and entertainment during the last
5 months. How much should Larissa
expect to pay for clothes, food, and
entertainment in 1 year?
Answer:
Larissa would spend a total of: $7,680 in 1 year
Step-by-step explanation:
Celia bought a bag of 12 goldfish for $3.
What is the cost of 1goldfish?
Answer:
0.25
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
3÷12=0.25
12 goldfish for $3
Write 8 statements and reasons for the proof
Answer:
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
227
Step-by-step explanation:
Since they give you the hypotenuse length of 290in and they ask you to find the length os the adjacent angle, use the cosine to find side b.
So you do tan38=b/290 then calculate.
The true answer is 226.5728 but they ask you to round.