Answer:
So this is what hello means :):):):):):):)
Step-by-step explanation:
A man holds a note of $6,000 that has an interest rate of 11% annually. The note was made on March 17 and is due November 14. He sells the note to a bank on June 13 at a discount rate of 10% annually. Find the proceeds on the third-party discount note. (Use the banker's rule.)
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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If a tax of $6.75 is charged on an $84.37 purchase, what is the sales tax rate?
Answer:
8%
Step-by-step explanation:
[tex] \frac{6.75}{84.37} = .08[/tex]
In a class of 22 students, 9 are female and 7 have an A in the class. There are 8
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class does not have an A?
Answer:15/22
Step-by-step explanation:
What number would you divide by to calculate the mean of 2, 5, 4, and 3?
To determine the number that you would divide by to calculate the mean:
⇒ must determine the definition of the mean
Definition of Mean: a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the listSince there are 4 numbers:
⇒ the number would you divide by to calculate the mean is 4
Hope that helps!
Answer:
answer is either 1 or 3.5
Step-by-step explanation:
first you need to add all of the numbers together then divide by the amount of numbers ( in this case there are 4 numbers)
2+5+4+3=14
14/4=3.5 which gets you the mean
but sometimes it will want you to go a step further and do this-
finding the distance from each number from the mean found like this!
3.5-2=1.5
5-3.5=1.5
4-3.5=.5
3.5-3=.5
then add these together
1.5+1.5+.5+.5=4
then 4 divided by tghe amount of numbers which is 4
4/4=1 so that is taken a step further but the answer is either
A small shipping crate can hold up to 500 pounds. Kelly needs to ship two machine parts that are 255 pounds and 321 pounds. She wants to estimate to see if she can ship both machine parts in the same crate. Complete the statements.
Answer: no they don't both fit in one box.
Step-by-step explanation: first off, 200 plus 300 is 500, and both numbers are bigger. Then if you wanted to round it to the nearest 10, you would get 580. 580>500 so yeah. that won't work.
Help please really important!! Will make brainiest
Answer:
This is all I have right now. The ray makes me think about drawing a circle in the middle and somehow using the diameter to find the height of the triangle. It's just weird because we don't know the base and I'm not sure how to find that without at least knowing the height & using pythagorean theorem.
Although it's not much, hopefully this can steer you in the right direction! Maybe you're way smarter than me and know where to take it from here lol Good luck
Part A Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself. Part B What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation. Part C The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation from Part B, and solve the equation. Part D Search the Internet to find the length of each side of the base of Khufu’s pyramid. Does this length match your calculation? Part E Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base. Part F Search the Internet to find the length of each side of the base of Khafre’s pyramid. Does this match your calculation? Part G About how much longer are the side lengths of the base of Khufu’s pyramid than Khafre’s?
Answer:
Part A: S^2= 3V/H
Part B: S =\sqrt{3\frac{v}{h} }
Part C: s=√3* 2,433,400 /138=230 metres
Part D: This website says that the length of Khufu’s Pyramid is about 230 meters. My calculation was correct.
Part E: S = √3*2,115,072/ 136 =216 metres
Part F: The length of Khafre’s pyramid is about 215.5 My calculation was a little off, but not by much.
Part G: 14 meters longer
Step-by-step explanation:
Part A:
I am going to solve:
So,
V=1/3 HS^{2}
Then, multiply both sides by 3:
V x 3= 1/3 HS^{2} x 3
So,
3V=HS^{2}
Then, we divide by H:
\frac{3V}{H}=\frac{HSs^{2} }{H}
So,
\frac{3V}{H}= s^{2}
Then switch sides:
s^{2}= \frac{3V}{H}
I hope this helps
Step-by-step explanation:
MARK A BRAIN LESS
Answer:
Part A: Inverse operations are operations that undo each other that is they result to the original number or variable. s2 = 3V / H.
Part B: opposite operation of squaring is taking a square root. S = 3 v/h
Part C: s=√3 2,433,400 /138=230
Step-by-step explanation:
Im sorry thats all I know
An art teacher had 2/3 gallons of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint, how many containers had paint in them, including the one that was partially filled?
6 containers have paint in them.
Step-by-step explanation: Firstly we must convert them to similar fractions, so times the denominator of each fraction by the denominator and numerator of the other fraction (the denominator is the bottom number and the numerator is the top number.) So 3 times 1 is 3, 3 times 8 is 24, so the fraction of paint poured into each container changes to 3/24. 8 times 2 is 16, 8 times 3 is 24, so the total amount of paint poured is 16/24, divide the numerator of paint poured by the numerator of paint in each container, so 16 divided by 3, you get 5 remainder 1, the remainder 1 still counts as part of the next container so 6 container have paint in them.
Hope this helps.
Solve for an angle in right triangles. Round to the nearest hundredth
Answer:
39.8°
Step-by-step explanation:
Soh Cah Toa
Soh: sine = opposite / hyp
Cah: cos = adj / hyp
Toa: tan = opp / adj
You have 2 sides so you would use tangent
tan θ = 5/6
tan^-1 (5/6)
= 39.8°
solve the given equation state the number and type of roots x^2-5x-36=0
We can solve this quadratic equation using factorisation method as follows
:x2−5x−36=0
x2+4x−9x−36=0
x(x+4)−9(x+4)=0
(x+4)×(x−9)=0
x+4=0orx−9=0
x=−4orx=9
118 x 2 what is the sum
Answer:
236
Step-by-step explanation:
Find the Product and Combine similar terms.
1. -1(7+4b) =
2. x(x²–2xy+y²) =
3. -5x(-3+x) =
the temperature is -7F and drops 15F what is the temperature now
Answer:
I'm really not sure but I think it would be -22F
Step-by-step explanation:
negative 7 minus 15 is negative 22
How many ounces of pure alcohol should be added to 500 ounces of 35 % alcohol solution to produce a solution that is 50 %?
Pesent your answer as an integer or a reduced fraction. Do not use decimals.
Answer:
150 ounces
Step-by-step explanation:
It is convenient to write an equation for the total amount of alcohol in the mix.
__
Let x represent the amount of pure alcohol added. Then the amount of alcohol in the mix is ...
500(35%) +x(100%) = (500 +x)(50%)
x = 500(15%) +x(50%) . . . . . . . subtract 500(35%)
x(50%) = 500(15%) . . . . . . . . . . subtract x(50%)
x = (500)(15%)/(50%) = 150 . . . . divide by the coefficient of x
150 ounces of pure alcohol should be added to produce the desired solution.
A box of 25 munchkins cost $5.46 what is the unit rate per munchkin
The unit rate per munchkin is $0.22.
What is Division?
Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,
[tex]\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22[/tex]
Hence, the unit rate per munchkin is $0.22.
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Justin recently drove to visit his parents who live 720 miles awayOn his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather)If Justin spent a total of 24 hours drivingfind the two rates
Answer:
48hours drivinh from two rates
The sum of two consecutive odd integers is 96. what is the product of these integers?
Answer:
47 and 49
Step-by-step explanation:
Answer:
2303
Step-by-step explanation:
Let the smaller of the two odd integers be x.
Then the next odd integer is x + 2.
Since the sum of these 2 integers is 96, we may write x + (x + 2) = 96
Now solving for x we obtain:
2x = 94
x = 47
To find the next value we can subtract 47 from 96, which is 49.
Hence, the required two integers are 47 and 49. Multiplying them, we get a product of 2303.
hope this helps!
If P(A) = 1/6 , P(B) = 5/12, and P(A\B) + P(B\A) = 7/10 Find P(AUB)
Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2
Conditional probabilityProbability is the likelihood or chance that an event will occur. Given the following parameters
If P(A) = 1/6
P(B) = 5/12
P(A\B) + P(B\A) = 7/10
Required
p(AUB)
Recall that:
P(A|B)=P(AnB)/P(B)
P(B|A) = P(BnA)/P(A)
P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10
42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12
Determine P(AUB)
P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2
Hence the probability of P(AUB) is 1/2
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number 9 and 10, please
Answer:9 is g and b
Step-by-step explanation:
because they all involved the answer
Given points P, Q, R, and S, decide whether PQ and RS are parallel, perpendicular, or neither.
P (9,10) Q(10,3) R (-9,4) S (-2,5)
Answer:
Opposite Sides of Parallelogram are equal
If All opposite sides are equal , it is Parallelogram
For this You need to use distance formula that is
√(x2-x1)2+(y2-y1) 2
5.
6.) Mrs. Allison is making a blanket for her horse. She has 16 feet of fabric. Mrs. Allison cut
three pieces of fabric and each piece is 4 feet. How much fabric is left?
My bro needs help asap
Answer:
A and C
Step-by-step explanation:
Hover– High helicopters manufacturers radio – control toy helicopters. They have their quality control down to a point we’re only one in 100 built could be defective and returns for repair at a cost to the company of $50. At a profit margin of $10 per unit, what would their profit be per unit after selling 200 copters?
If a profit margin is $10 per unit, what would their profit be per unit after selling 200 copters is $9.40.
Profit per unitFirst step
There are 2 defectives in 200 copters
Total profit=[(200-2)×$10]-($50×2)
Total profit=(198×$10)-$100
Total profit=$1,980-$100
Total profit=$1,880
Second step
Profit per unit=$1,880/200
Profit per unit=$9.40
Therefore their profit be per unit after selling 200 copters is $9.40.
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The area of the base and total surface area of a square based solid pyramid are 144 sq. cm and 384 sq cm respectively. What will be the volume of the pyramid? Find it
Answer:
384 cubic centimeters
Step-by-step explanation:
We are given the base area and total area of a square pyramid and asked to find the volume. The typical volume formula for a pyramid requires that we know the height of it. We can use the formula for the surface area to find the slant height of a face, and we can use the slant height to find the height perpendicular to the base.
__
face areatotal surface area = base area + area of 4 faces
area of 4 faces = total surface area - base area
area of 4 faces = 384 cm² -144 cm² = 240 cm²
area of 1 face = 240 cm²/4 = 60 cm²
__
slant heightThe side length of the square base is ...
A = a²
a = √A = √(144 cm²) = 12 cm
and the slant height of one face is ...
A = 1/2as
s = (2A)/a = (2×60 cm²)/(12 cm) = 10 cm
__
pyramid heightThe distance from the center of the base to the edge of the base is (12 cm)/2 = 6 cm. That is one leg of the right triangle whose hypotenuse is the slant height of the face. The other leg of the triangle is the height of the pyramid:
H² = s² -(a/2)² . . . . Pythagorean theroem solved for one leg
H = √(10² -6²) = 8 . . . . cm . . . . height of the pyramid
__
volumeNow we know the base area of the pyramid (B), and we know its height (H), so we can use the formula ...
V = 1/3BH
V = 1/3(144 cm²)(8 cm) = 384 cm³
The volume of the pyramid will be 384 cm³.
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answer:
y = -1/4x + 8
Step-by-step explanation:
original line is y - 4x = 4
y = 4x + 4
dy/dx = 4
gradient of line perpendicular to the original line
= -1/4
thus answer is y = -1/4x + 8
hope this helps!
The ballfield has a concession stand where they sell snow cones for $0.50 each. The ingredients to make the snow cones costs $9 each day. They usually sell 35 snow cones per day. On Friday, it rained, and they only sold 20 snow cones. How much profit did the concession stand make after expenses that day?
Answer:
$4,86
Step-by-step explanation:
Profit without expenses - $0,50×20 snow cones
=$10
Let's calculate the percentage the seller takes for the ingredients daily
The seller per day makes-$0,50×35 snow cones=$17,5
This means the percent he takes for the ingredients from his/her $17,5 daily is- $9÷$17,5 ×100=51,4%.
NB-the 51,4% is the percentage of money he/she takes from the $17,5 everyday
Therefore if on the raining day he made $10
Then $10×51,4÷100=$5,14
NB-the $5,14 is the money he will take for the ingredients on the raining day
Therefore $10-$5,14=$4,86
Therefore the total profit he made with expenses is $4,86
what is the raidus of the cone in the diagram. height = 12 units Volume = 201.06 cubic unit
Answer:
4 units (nearest whole number)
Step-by-step explanation:
Formula
[tex]\textsf{volume of a cone}=\dfrac13 \pi r^2h[/tex]
Solution
Given:
volume = 201.06 units³height = 12 units[tex]\implies 201.06=\dfrac13 \pi r^2(12)[/tex]
[tex]\implies 201.06=4 \pi r^2[/tex]
[tex]\implies r^2=\dfrac{201.06}{4 \pi}[/tex]
[tex]\implies r=\sqrt{\dfrac{201.06}{4 \pi}}[/tex]
[tex]\implies r=3.999980804...[/tex]
Therefore, the radius of the cone is 4 units (nearest whole number)
I need help plslslsls
Answer:
a) Positive
b) 146
Step-by-step explanation:
As the data os going up, it is a positive correlation. For part b, you need to draw a line through the general area of all the points and see how much revenue is made from raincoats.
Meade gave 1/7 of a candy bar to Max and then ate 2/5 of the candy bar himself. What fraction of the candy bar is left?
There is ______ of the candy bar left
Let's break this problem into a few steps:
First, Meade gave 1/7 of candy to Max⇒ Amount of Candybar: Candy - (1/7)Candy = (6/7)Candy
Second, Meade ate 2/5 of the candy⇒ Amount of Candy left:
Total amount of candy - (2/5) * Total amount of candy
= (6/7) Candy - (2/5) *(6/7)Candy
= (1 - (2/5)) * (6/7) Candy
= 3/5 * 6/7 = 18/35 Candy
Thus there is 18/35 of the candy left.
Which statement best
explains whether using a calculator or determining the solution by hand would be the most
efficient way to fully simplify the expression
5/8 + 1/8 + 2/5 - 1?
•The sum of the first two fractions can easily be determined, but because the third fraction has a different
denominator, solving this
using a calculator would most likely be more efficient.
•Adding and subtracting whole numbers and fractions is always a time-consuming process to complete by hand, so
solving this using a calculator would most likely be more efficient.
•The first calculation can be done quickly by hand, so solving this problem by hand would most likely
efficient.
be more
•
The denominators of the first two terms cancel each other out, so solving this problem
more efficient.
by hand would most likely be
Please hurry up I am timed
Answer:
The First one
Step-by-step explanation: