Answer:
2083.33 trouts
Step-by-step explanation:
Total population of fish in the pond is unknown, therefore, let's us represent this using letter Z
The ratio of banded , caught and released trout to the total trout population is represented as 250 : Z
We can solve this type of problem with a proportion:
Total number of fishes that was tagged and caught/ Total number of fishes that was caught = Total number of tagged fishes in the pond/ Total number of fishes in the pond.
In the question, we were given this values:
Total number of banded trout's that was caught and released into the pond = 250
Total number of trouts that was caught and had bands in the lake= 30
Total number of trouts that was caught in the lake = 250
Total number of fishes in the pond = Z
Hence we have:
30/250 = 250/ Z
We cross mulitply
30× Z = 250 × 250
30Z = 62500
We divide both sides by 30
30Z/ 30 = 62500/30
Z = 2083.33
Therefore, the expected population of trout is 2083.33 trouts
The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of a
and c?
Hey there! I'm happy to help!
-------------------------------------------------------------------
WHAT IS THE PERIMETER?
The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.
-------------------------------------------------------------------
WHAT IS AN ISOSCELES TRIANGLE?
An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!
-------------------------------------------------------------------
THE SOLUTION
In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.
The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.
Therefore, the perimeter of this isosceles triangle is 2a+c.
-------------------------------------------------------------------
I hope that this helps! Have a wonderful day! :D
If the ratio StartFraction negative 294 Over x plus 10 EndFraction is equivalent to 21, find the value of x. Use pencil and paper. Write another pair of equivalent ratios like these. Show how to find the value of x.
Answer:
(1)x=-24
(2)Another pair of equivalent ratio is:
[tex]\dfrac{-64}{x+5}=8$ where $x=-13[/tex]
Step-by-step explanation:
Given the ratio:
[tex]\dfrac{-294}{x+10}=21[/tex]
Part 1: We determine the value of x.
[tex]\dfrac{-294}{x+10}=21\\$Cross multiply$\\21(x+10)=-294\\21x+210=-294\\$Collect like terms$\\21x=-294-210\\21x=-504\\$Divide both sides by 21$\\x=-24[/tex]
Part 2: We write another pair of equivalent ratios.
Let
[tex]\dfrac{-64}{x+5}=8\\$Cross multiply$\\8(x+5)=-64\\8x+40=-64\\$Collect like terms$\\8x=-64-40\\8x=-104\\$Divide both sides by 8$\\x=-13[/tex]
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
Learn more about simple & compound interest here:
https://brainly.com/question/16666364
#SPJ5
Answer:
D.
$2,071.20
Step-by-step explanation:
The length between 20 and 29
The length between is the number 9 , just add 29 to 20 which is just 9 more numbers
Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?
35 inches
47 inches
50 inches
43 inches
will mark brainliest
Answer:
43, it raises by 4 each time. good luck!
Step-by-step explanation:
What was the percentage decrease in the number of accidents between 1950 and 1976?
Answer:
the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)
Help me please I think you have to find the area
Answer:
I got B) ; 54m2
Step-by-step explanation:
the above diagram is a trapezium.
the area is gotten by; 1/2 (a+b)h
a = shortest side.
b = the longer side that is directly opposite to (a).
h = height.
1/2(3 + 9)9
1/2 by 12 by 9
to get 54
How do you solve this question? With a step by step explanation please!
[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]
First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).
2 -(-3) = [tex]\frac{1}{2} x - \frac{1}{4} x[/tex]
2 + 3 = [tex]\frac{1}{4}[/tex]x
[tex]\frac{1}{4} x = 5[/tex]
Now, we will multiply both sides by 4, so as to find x.
[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4
x = 20
Therefore, x = 20.
five whole numbers are written in order (4, 6, x, y, 10). The mean and median of the five numbers are the same. Work out the values of x and y.
Answer:
x = 7
y = 8
Step-by-step explanation:
Knowing that the mean is equal to the median, we can formulate the following equation:
⅕(4 + 6 + x + y + 10) = x
Simplifying it, we get:
y = 4x - 20
Now, we know that both x and y are between 6 and 10 and that y is greater than x;
Mathematically, we have the conditions:
6 =< x =< 10
6 =< y =< 10
y > x
If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;
This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;
Once we know this, we can find y simply by subbing it into the equation formulated previously:
y = 4(7) - 20
y = 8
Cesar and Jocelyn are planning their trips to three countries next year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks.
Answer:
They need five weeks to make all their travels.
Step-by-step explanation:
Given that Cesar and Jocelyn are planning their trips to three countries next year.
One trip will be one week long, another two days, and the other two weeks.
In conclusion, they need five weeks to make this travel.
What is the vertex of f(x)=x+8-3
Answer:
The absolute value vertex is
( − 8 , − 3 ) .
Step-by-step explanation:
What is the value of the expression below ? 2[32-(4-1)]
There is a 3 in between the ) 3 ] but it looks like square / cubes something
The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.
SimplificationSimplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.
How to simplify an algebraic expression?Apply the BODMAS rule to simplify the algebraic expression.
Given that the expression is [tex]2[32-(4-1)][/tex]
First, simplify the bracket [tex](4-1)[/tex]
Then, [tex]2[32-(4-1)]=2[32-3][/tex]
Simplify the bracket [tex][32-3][/tex]
Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]
Multiply the numbers [tex]2[/tex] and [tex]29[/tex]
[tex]2[/tex] × [tex]29=58[/tex]
Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].
Learn more about simplification here-https://brainly.com/question/17579585
#SPJ2
you are mountain climbing with a friend. you need to reach a ledge that is 22 feet above you
Answer:
x+22
Step-by-step explanation:
you don't know what elevation you are on and you need to go up 22 feet more to the ledge above you.
.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]
2. Area for wheat
[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]
3.Area for olive trees
[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
Which function has the same range as f(x)=-2√x-3+8?
Answer:
[tex]g(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
got it right
g(x) = - √x + 3 +8 has the same range.
What is the range of a function simple?The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.
What is range in a relation?The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.
Learn more about the range of a function here: https://brainly.com/question/24137224
#SPJ2
Find the solution to the system of equations.
You can use the interactive graph below to find the solution
(–2x+2y =–4
( 3x + 3y = -18
X =
y=
Which is a solution to (x − 2)(x + 10) = 13?
Answer:
3
Step-by-step explanation:
3-2=1
3+10=13
1x13=13
The slope of a line is 2. The y-intercept of the line is -6 Which statements accurately describe how to graph the function?
Locate the ordered pair (0-6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Draw a line through the two points.
Locate the ordered pair (0-6). From that point on the graph, move up 2left 1 to locate the next ordered pair on the line
Draw a line through the two points.
Locate the ordered pair (-60). From that point on the graph, move up 2, right 2 to locate the next ordered pair on the line.
Draw a line through the nivo points.
Locate the ordered pair (-60). From that point on the graph, move up 2. left 1 to locate the next ordered pair on the line.
Draw a line through the two points,
Mark this and retum
Save and Exit
Subemt
Answer: A
Step-by-step explanation:
We know the y intercept is -6 so the first point will be (0,-6) and we also know that the slope is 2/1 so after plotting (0.-6) you will have to go up by two and 1 unit to the right.
Answer:
The answer is A!
Step-by-step explanation:
I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)
Zech deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. What was the amount in the account at the end of 10 years? Round to the nearest dollar.
Answer:
$6769
Step-by-step explanation:
To calculate the amount, we make use of the compound interest formula
A = P(1+r/n)^nt
where A is the amount which we are to calculate
P is the amount deposited which is $5,600
r is the rate which is 1.9% or 1.9/100 = 0.019
t is the number of years = 10
n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)
Plugging all these values, we have
A = 5,600(1+ 0.019/4)^40
A = 5,600( 1 + 0.00475)^40
A = 5,600(1.00475)^40
A = $6768.75
Which is $6769 to the nearest dollars
What is the equation of 4over 3 equal Y
Answer:
3y = 4 or 3y - 4 =0
Step-by-step explanation:
[tex] \frac{4}{3} = y \\ 4 = 3y \\ 3y - 4 = 0 \\ [/tex]
A circle has a diameter that measures
8 inches. What is the area of the circle to the nearest tenth? Use 3.14 for pi.
Answer:
50.24inches
Step-by-step explanation:
Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)
The radius of a circle is 5 m. Find its area in terms of .
Answer:
78.5 m²
Step-by-step explanation:
Area formula: πr²
Plug it in: (3.14)(5m)²
Answer: 78.5 m²
What is the solution to the equation 3(2x + 5) = 3x + 4x?
a
X= 15
b.
X= 5
X=0
dx = 4
Answer: A
Step-by-step explanation:
Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.
180/9 x 10^-5
IN SCIENTIFIC NOTATION
Answer:
2*10^-4
Step-by-step explanation:
Answer:
2.0x10^6
Step-by-step explanation:
First, let's change the number in the numerator into scientific notation.
180/ 9.0x 10^-5 = 1.80x10^2/ 9.0x10^-5
Start by collecting the significance and exponents.
1.80X10^2/ 9.0x10^-5 = 1.80/ 9.0x 10^2/10^-5
Then divide each term separately. When dividing exponents with the same base, subtract their power.
=0.20x10^2-(-5) =0.20x 10^7
To write the answer correctly in scientific notation, the first number needs to be between 1 and 10. In this case, we need to move the decimal one position to the right without changing the value of our answer.
We can use the fact that 0.20 is the same as 2.0/10, or 2.0x 10^-1
=2.0x10^-1x 10^7
=2.0x 10^-1+7
=2.0x 10^6
type an equation for the line shown in the graph
A sphere has a radius of 5 inches. What is its volume?
Sphere V=
WIT
4
72
3
1. Substitute the radius into the formula:
V=4(5)
V = (125)
2. Evaluate the power,
3. Simplify:
V=
it in, 3
Answer:
500/3
Step-by-step explanation:
just did it on edg!
3) Factor x2 – 8x – 9.
Check
Answer:
(x-9)(x+1)
Step-by-step explanation:
factor using the box method or quadratic formula.
Answer:
(x - 9)(x + 1)
Step-by-step explanation:
Given
x² - 8x - 9
Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)
The factors are - 9 and + 1, since
- 9 × 1 = - 9 and - 9 + 1 = - 8, thus
x² - 8x - 9 = (x - 9)(x + 1)
In this equation what is the
Answer:
multiplication i think? correct me if im wrong:)
Step-by-step explanation:
bye.
The answer is [ C. Multiply ]
The inverse operation of division is multiplication and vice versa.
The inverse operation of subtraction is addition and vice versa.
Solve for x.
x/6.8 = 5
~Multiply 6.8 to both sides
x/6.8 * 6.8 = 5 * 6.8
~Simplify
x = 34
Best of Luck!
Enter the correct answer in the box. What is this expression in simplified form?
3\sqrt{88}
Answer: [tex]12\sqrt{5}[/tex]
Step-by-step explanation:
[tex]3\sqrt{88}[/tex]
88 can be rewritten as 8 x 10 and 8 can be rewritten as [tex]2^2*2[/tex] making a 2 come out of the root.
[tex]3\sqrt{2^2*2*10}\\ 3*2\sqrt{2*10}\\6\sqrt{2*10}[/tex]
10 can be rewritten as 2 x 5.
[tex]6\sqrt{2*2*5}[/tex]
2*2 can also be rewritten as [tex]2^2[/tex] making a 2 come out of the root.
[tex]6\sqrt{2^2*5}\\ 6*2\sqrt{5}\\ 12\sqrt{5}[/tex]
We can't keep simplifying the root.
Helppppppppppppppppppppppp
Answer:
9
Explanation: the answer is 9 because 15 is 3 times 5 so you would have to multiply 3 by 3 to mark it to scale.
