Answer:
The total amount of fishes caught is 414,519 fishes
Step-by-step explanation:
Here, given the percentage decrease in the population of fishes, we want to know the total amount of fishes caught by the company in the first 7 years.
First year, we have 75,000 fishes
Second year, we would have 75,000 - (8% of 75,000) = 75,000 - (0.08 × 75,000) = 75,000 - 6,000 = 69,000
Third year, we would have 69,000- (0.08 × 69,000) = 69,000 - 5520 = 63,480
Fourth year, we would have 63,480 - (0.08 × 63,480) = 58,401.6
Fifth year, we would have 58,401.6 - (0.08 × 58,401.6) = 58,401.6 - 4,672.18 = 53,729.472
Sixth year, we would have 53,729.472 - (0.08 × 53,729.472) = 53,729.472 - 4,298.3578 = 49,431.114
Seventh year, we would 49,431.114 - (0.08 × 49,431.114) = 45,476.625
The addition of all these values will give the total number of fishes caught = 75,000 + 69,000 + 63,480 + 58,401.6 + 53,729.472 + 49,431.114 + 45,476.625 = 414,518.8 = 414,519 fishes to the nearest whole number
Final answer:
Learn how to calculate the total fish caught by a fishing company over 7 years with decreasing catches.
Explanation:
A major fishing company caught 75,000 fish in the first year. Each year, the number of fish caught decreased by 8%. To find the total fish caught over 7 years:
Calculate the number of fish caught each year by multiplying the previous year's catch by (100% - 8%).
Add up the catches for 7 years.
Round the final total to the nearest whole number.
Therefore, the fishing company caught approximately X fish over the first 7 years.
how do i do this? the interquartile range? please help!
Answer:
20
Step-by-step explanation:
8y - 1-/2 ( 4y - 16)
Answer:
2.(3y+4)
Step-by-step explanation:
1/2
8y-1/2.(4y -16))
3.1
4y-16=4.(y-4)
5.1 6y +8 =2•(3y+4)
final answer 2•(3y+4)
Which formula can be used to find the volume of the
cylinder? Check all that apply.
A=(d)(h)
V=B(h)
V=(1)(w)(h)
V = 2(2)(h)
V =(77)(y-2)(h)
Intro
Done
Answer:
2 and 5
Step-by-step explanation:
You want to know how many students in your school are going to the volleyball game. You survey 50 students. Ten are going to the game. The rest are not going to the game.
A. Identify the population.
B. Identify the sample.
The population is all the students in the school.
The sample is the 50 students that were asked if they were going to the game.
Since i do not know the amount of people in the school I will tell you another thing.
Every 50 students that are surveyed 10 are going to the game and 40 are not so 10/50 are going to the game or 1 in 5 students will go to the game (1/5)
So take the amount of people in the school and do this -
Say there are 200 that would be 40 people going to the game because
200 / 50 = 4 that would be 4 surveys (that would be 10 people from each survey going to the game) So, 4 x 10 (10 from each survey) Would be 40 people so use this to find you're answer I hope it helps you.
Start by dividing the total people in the school by 50 and for whatever number you get multiply it by 10.
John and tim are driving opposite directions on the same road.John is driving 15 mph and Tim is driving 22 mph.How long will it take for them to be 407 miles apart
Answer:
11 hours
Step-by-step explanation:
John's velocity: 15mph
Tim's velocity: 22mph
in one hour of driving John will be 15 miles away from the starting point, and Tim will be 22 miles away from the starting point.
Thus, after one hour they will be
15 + 22 = 37 miles apart.
We can represent this on the following table:
Distance(miles) time (hours)
37 ⇔ 1
And since we need to know the time when they are at a distance of 407 miles:
Distance(miles) time (hours)
37 ⇔ 1
407 ⇔ x
where x represnts the time
we solve this problem using rule of three: multiply the cross quantities on the table (407 and 1) and divide by the remaining amount (37):
x = 407*1/37
x = 407/37
x = 11
it will take 11 hours for them to be 407 miles apart.
yoko is driving her motorhome it uses 4 gallons of gas for every 24 miles she travels
Answer:
2nd box: 6
3rd box for the miles: 42
4th box: 9
5th box for the miles: 60
Step-by-step explanation:
just multiply the number of gallons by six to get the number of miles and divide the number of miles by 6 to get the number of gallons. Hope this helped!
The complete table is
number of galloons 4 6 7 9
Distance 24 36 42 54
What is proportionality?Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant.
The value of the constant of proportionality depends on the type of proportion between the two given quantities: Direct Variation and Inverse Variation.
Direct Variation: The equation for direct proportionality is y = kx, which shows as x increases, y also increases at the same rate. Example: The cost per item(y) is directly proportional to the number of items(x) purchased, expressed as y ∝ xInverse Variation: The equation for the indirect proportionality is y = k/x, which shows that as y increases, x decreases and vice-versa. Example: The speed of a moving vehicle (y) inversely varies as the time taken (x) to cover a certain distance, expressed as y ∝ 1/xGiven:
number of galloons 4 x 7 z
Distance 24 36 y 54
Now, taking first
=4/24
=1/6
Now, using proportionality
1/6 = x/36
6x = 36
x= 6
By continuing this way
y= 7 x 6
y= 42
z= 54/6
z= 9
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Find the value of X in the triangle shown below
Answer:
102°
Step-by-step explanation:
Since the triangle is an isosceles triangle, two sides are equal and angle opposite to them are also equal.
Therefore, x°+39°+39°=180°
=> x°+78° = 180°
=> x° = 180-78° = 102°
Harold wants to put decorative tape around the side of a cube box with a volume of V.which expression gives the length of the tape
Answer:
Length of the tape = Length of the side of the Cube = ³√ V
Step-by-step explanation:
The Volume of a cube box = s³
Where s = length of the side of a cube.
The units of a cube is given as cubic units.
From the question, we were told, a decorative tape was placed at the side of the cube.
Since the volume of a cube is designated as V,
The length of the tape is equivalent to the side of a cube.
Therefore, Since V = s³
Length of the tape = Length of the side of the cube is derived as :
V = s³
Find the cubic root of both side
³√ V = ³√ s³
s = ³√V
Therefore the Length of the tape = Cubic root of the Volume of the cube and it is expressed mathematically as :
s = ³√V
Answer:
4[tex]\sqrt[3]{V}[/tex]
Step-by-step explanation:
This is the correct answer off imagine math
Use the compound interest formulas to solve. A = P(1 + r/n)nt and A = Pert Suppose you have $3000 to invest. Which investment yields the greater return over 10 years: Account 1: 6.5% compounded semiannually? Account 2: 6% compounded continuously? The account with the better investment is Account which yields dollars more after 10 years.
Answer:
Account 1 yields greater return.
Step-by-step explanation:
Lets solve for the first formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
First, change 6.5% into a decimal:
6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065
Now, plug in the values for Account 1:
[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]
[tex]A=5,687.51[/tex]
Now solve for Account 2:
Change 6% into a decimal:
6% -> [tex]\frac{6}{100}[/tex] -> 0.06
Now plug in the values:
[tex]A=3,000e^{0.06(10)}[/tex]
[tex]A=5,466.36[/tex]
Account 1 yields better money after 10 years.
write 27/5 as a mixed number
Answer:
[tex]5\frac{2}{5}[/tex]
Step-by-step explanation:
brainliest?
Answer:
2/5
Step-by-step explanation:
formula =numerator (top number) divided by denominator (bottom number), remainder over denominater. = 27 divided by 5 ( = 5 ) and 2 over 5. hope this answers your question :)
The probability of rolling a multiple of 3 on a standard number cube is 1/3.
Is that true or false?
Answer:
its true
Step-by-step explanation:
3 and 6 are are the multiples of three on a standard number cube 2 numbers out of six are multiples so 2/6 2/6 reduced is 1/3
2. A cereal box has dimensions of 2 in., 5 1/3 in., and 10 3/4in. If the box contains 8 servings, how much volume does each serving take up?
Answer:
About 14.33 inches²
Step-by-step explanation:
To find the volume of the cereal box, we need to multiply the length, width, and height by each other:
2*5.33333...*10.75=114.66...
Now we divide the volume by the serving amount, 8.
114.66.../8=14.33...
Each serving is about 14.33 in²
Okay, First Of all, the dude above me is wrong.
The Correct Answer Is 14 1/3
Explanation;
5 1/3 = 16/3
10 3/4 = 43/4
Now let's do the math:
43/4 * 5 1/3 = 688/12
688 divided by 12 = 57 R 4 = 57 4/12
57 4/12 = 57 1/3
57 1/3 divided by the number of servings (8) = 14 1/3
So, 14 1/3 is the amount of volume each serving takes up.
What is 3y^2 - 15y equal?
Answer:
3y(y−5)
Step-by-step explanation:
I factored the expression
mark me brainliest please
In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).
Answer:
The percentage of error in the question is 75%.
Step-by-step explanation:
To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.
He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.
If we make the calculation (14 - 8) / 8 = 6 / 8.And then multiply the result by 100 to find the percentage, (6 / 8) x 100 = 75.So the percentage of error in the question is 75%.
I hope this answer helps.
What is StartFraction (9.3 times 10 Superscript 34 Baseline) Over (3.1 times 10 Superscript 17 Baseline) EndFraction in scientific notation? 3 times 10 Superscript 2 3 times 10 Superscript 17 6.2 times 10 Superscript 2 6.2 times 10 Superscript 17
Answer:
3x10^17
Step-by-step explanation:
its b *3 times 10 Superscript 17*
Step-by-step explanation:
I NEED THIS SO BAD SO I WILL GIVE CROWN FOR ANSWER
Bela runs a 6.2 mile race and a 26.22 mile race during the year.
How many total miles did she run in both races?
Enter your answer in the box.
Answer:
32.42 miles
Step-by-step explanation:
you could have just added
Answer:
32.42 miles
hope this helped
In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a
sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a
brown, then black sock?
1/36
1/18
V
2/33
Answer:
D
Step-by-step explanation:
[tex]\frac{1}{18}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].
Number of white socks [tex]=6[/tex]
Number of black socks [tex]=4[/tex]
Number of brown socks [tex]=2[/tex]
A brown sock is picked and replaced then a black sock is picked.
Probability that a brown sock is picked and replaced then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]
[tex]=\frac{1}{3}\times \frac{1}{6}[/tex]
[tex]=\boldsymbol{\frac{1}{18}}[/tex]
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Use the Law of Sines and/or the Law of Cosines to solve each triangle. Round to the Nearest tenth when necessary
(Unit 8: Right Triangles & Trigonometry, Homework 9: Law of Sines & Cosines: + Applications)
Answer:
∠TSR= 48°
∠RTS = 107°
∠TRS = 25°
Step-by-step explanation:
As we know in any triangles,
a, b and c are sidesC is the angle opposite side cWe can apply The Law of Cosines , which is:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] − 2ab cos(C)
In this situation we have:
RT = a = 11TS = b = 6SR = c = 14Apply The Law of Cosines to find the angle of TRS
<=> [tex]6^{2} = 11^{2} + 14^{2} - 2*11*14*cos(TRS)[/tex]
<=> cos(TRS ) = ([tex]11^{2} + 14^{2} - 6^{2}[/tex]) / 2*11*14
<=> cos(TRS ) = 0.91
<=> ∠TRS = 25°
Apply The Law of Cosines to find the angle of RTS
<=> [tex]14^{2} = 11^{2} + 6^{2} - 2*11*6*cos(RTS)[/tex]
<=> cos(RTS) = ([tex]11^{2} + 6^{2} - 14^{2}[/tex]) / 2*11*6
<=> cos(RTS) = -0.29
<=> ∠RTS = = 107°
So we can find the measure of angle TSR
∠TSR= 180° - 107° - 25°
∠TSR= 48°
Using cosine law or sin law the angles of the triangle is as follows:
∠T = 107.2°
∠S = 48.6°
∠R = 24.2°
Using cosine rule,
Cosine rulet² = r² + s² - 2rs cos TTherefore,
14² = 6² + 11²- 2 × 6 × 11 cos T
196 - 36 - 121 = -132 cos T
cost T = 39 / - 132
T = cos⁻¹ -0.29545454545
T = 107.184793175
T = 107.2°
Sine ruleTherefore, let's find angle S using sine law
s / sin S = t / sin T
11 / sin S = 14 / sin 107.2
11 sin 107.2 = 14 sin S
sin S = 10.5080619833 / 14
S = sin ⁻¹ 0.75057585595
S = 48.6397771973
S = 48.6°
R = 18 0 - 48.6 - 107.2 = 24.2
R = 24.2°
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What step comes first to solve 18/2 - 5 + 7 - 12
Answer:
You would do 18/2 first.
Step-by-step explanation:
In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
[tex]k=5[/tex]
Step-by-step explanation:
[tex]18 + 8k = 58\\\\\text {Subtract 18 from both sides.}\\\rightarrow 18-18+8k=58-18\\\boxed {8k=40}\\\\\text {Divide by 8 on both sides.}\\8k/8 = 40/8\\\boxed {k=5}[/tex]
Brainliest Appreciated!
what is the answer i am confused pls help
Jasmine is sliding down a 40-foot water park slide. The equation h = 40 − 2.5t gives her height, h, above the bottom of the slide t seconds after shoving off. How high above the bottom of the slide will Jasmine be after 8 seconds?
please help!!!
find the median, first quartile, third quartile, and interquartile range of the data.
12, 31, 9, 20, 36, 5, 22
and
63, 68, 58, 77, 50, 49, 63, 73
Answer:
Part 1) 12, 31, 9, 20, 36, 5, 22
Sort the data:
5, 9, 12, 20, 22, 31, 36
Median: 20
First Quartile: 9
Third Quartile: 31
IQR: 31 - 9 = 22
and
Part 2) 63, 68, 58, 77, 50, 49, 63, 73
Sort the data:
49, 50, 58, 63, 63, 68, 73, 77
Median: (63÷63)/2 = 63
First Quartile: (50+58)/2 = 54
Third Quartile: (68+73)/2 = 70.5
IQR: 70.5 - 54 = 16.5
Factor 10h+30+50j to identify the equivalent expressions. Choose 2 answers
Answer:
[tex]10\left(h+3+5j\right)[/tex]
Step-by-step explanation:
[tex]10h+30+50j\\10h+3\cdot \:10+5\cdot \:10j\\10\left(h+3+5j\right)[/tex]
Answer:
10(h+3+5j) and 2(5h+15+25j
Step-by-step explanation:
To factor means to rewrite an expression as a product. Let's try dividing the expression then we find if its equivalent or not and there is the answer ;)
mark brainliest
What is the slope of the line?
Answer:
-3/2
Step-by-step explanation:
That is the answer on Khan.
The slope of the graph passes through the points (0, 2) and (2, - 1) is, - 3/2
Used the concept of the slope of the line which states that,
The slope of a line passing through the points (x₁ , y₁) and (x₂, y₂) is,
[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The graph of a line is shown.
Let two points on the graph be (0, 2) and (2, - 1).
Hence, the slope of the line is,
[tex]m = \dfrac{(-1 - 2)}{(2 - 0)}[/tex]
[tex]m = \dfrac{- 3}{2}[/tex]
So, the slope of the graph is - 3/2.
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Triangle FGH wasdilated using a scale factor of 1/2 to create triangle PQR
which statement is true?
Answer:
D. Side FG is two times the length of side PQ.
Step-by-step explanation:
Because FGH was dilated by a scale factor of 1/2 to create PQR, that means that every side of FGH is two times the side lengths of PQR.
Which two expressions can be used to answer this question? 45% of the 647 students at Royal Oak High attended the football game. How many students did not attend?
Answer:
356
Step-by-step explanation:
.55*647=356
If you help me god bless you and your a legend
Answer:
C. 14xy - 6y²
Step-by-step explanation:
The distributive property will essentially result in the sum of the product of the "outside term" with each of the "inside terms".
Here, the "outside term" is 2y and the "inside terms" are 7x and -3y. So:
2y(7x - 3y) = 2y * 7x + 2y * (-3y) = 14xy - 6y²
The answer is C.
George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
Answer:
B. 68 feet
Step-by-step explanation:
So you realize that 30 + 30 + w + w = P. We likewise realize the territory is 240 square feet. Gap 240 by 30 to discover the width of the territory. 240/30 = 8. w = 8. So include 30 + 30 + 8 + 8 to find that P = 76. Notwithstanding, recall that George is utilizing some portion of his home as a divider rather than a fence. So take away 8 from 76 to get 68 ft. George will require 68 ft. of fencing for his dog run.
Answer: (B) 68.
Have a great day!
A number x divided by 3 is at most 5 An inequality that represents this word sentence is
The phrase 'A number x divided by 3 is at most 5' is represented by the inequality x/3 ≤ 5. When solved, this gives x ≤ 15, indicating x can be any number up to and including 15.
Explanation:The given word problem relates to the concept of inequalities in mathematics, specifically linear inequalities. In the phrase 'A number x divided by 3 is at most 5', 'at most' translates to 'less than or equal to' in mathematical terms. Thus, this statement translates to the inequality x/3 ≤ 5.
To find the range of possible values for x, you can solve this inequality. By multiplying each side of the inequality by 3 (the inverse operation of division), you would get x ≤ 15. This means that x can be any number less than or equal to 15.
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