Answer:
6,656 rabbits
Step-by-step explanation:
Population of rabbits = 26
Population doubles every 30 days
how many rabbits will be on the farm after 240 days?
t = 240 days / 30 days
= 8
Future Amount = 26(2)^t
=26(2)^8
= 26(256)
= 6,656
Therefore, the population of rabbits on the farm after 240 days is 6,656
Hudson is going to invest $320 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Hudson to end up with $540?
Answer:
5.8
Step-by-step explanation:
The interest rate, to the nearest tenth of a percent, will be 0.05828.
How do you determine the amount of compound interest?If the principal amount is P, the interest rate is R percent per unit time, and the compound interest is left for T units of time, the interest amount gained is:
[tex]\rm CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The total is:
[tex]\rm A = CI + PA = P(1 +\dfrac{R}{ 100})T[/tex]
The amount is found as;
[tex]\rm A = P(1+\frac{r}{n})^{nt}\\\\ 540=320 (1+\frac{r}{12} )^{12\times 9}\\\\ (1+\frac{r}{12})^{108}=\frac{540}{320}\\\\ 1+\frac{r}{12}=(\frac{540}{320})^{\frac{14}{108}[/tex]
[tex]\rm 1+ \frac{r}{12}=1.00486\\\\ \frac{r}{12}=0.00486\\\\ r=12 \times 0.0486 \\\\ r=0.05828[/tex]
Hence, the interest rate, to the nearest tenth of a percent, will be 0.05828.
To learn more about compound interest, refer:
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Marcelo can select from 2 types of oranges and 3 types of peaches. If he randomly selects 1 orange and 1 peach, how many possible choices does he have? ___________ possible choices
Answer:
6 choices
Step-by-step explanation:
If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.
Answer:
1 in 144
Step-by-step explanation:
There is one 8 on a 12-sided die, so the probability of rolling an 8 once is [tex]\frac{1}{12}[/tex].
We are rolling twice, so [tex](\frac{1}{12})^{2} =\frac{1}{144}[/tex].
The experimental probability of rain in a certain
town is 60 percent. In the next 30 days, how many days
can one expect it to rain?
Answer:
18 days
Step-by-step explanation:
Find how many days it can be expected to rain by finding 60 percent of 30
30(0.6)
= 18
So, one can expect it to rain for a total of 18 days out of the 30 days
Ilia brought pizza home for dinner. Ilia ate 1/4 of the pizza. His friend ate 1/3 of the pizza. How much was left for Ilia.
Answer:
5/12 of the pizza was leftgot Lila
Step-by-step explanation:
Well Lila ate 1/4 already and his freind ate 1/3
1/4+1/3
3/12+4/12
7/12
The whole pizza is gonna be 1 since a whole pizza
1-7/12
that would be 5/12
Answer:
5/12
Step-by-step explanation:
1/4 + 1/3 + x = 1
7/12 + x = 1
7/12 - 7/12 + x = 1 - 7/12
x = 5/12
GUYS HELP!! What’s an equation that represents the line on the graph?
Answer:
Hey Mate...
Step-by-step explanation:
All that the slope-intercept form (the equation to describe linear equations) is, is an equation (y=mx+b) where m (the number that multiples x) is the slope and b (the number that is not multiplying a variable on the right-hand side of the equation) is the y-intercept.
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use
Answer:
The advertisement should use 16 minutes.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.
This means that [tex]m = 3.5, \mu = \frac{1}{3.5} = 0.2857[/tex]
What number of minutes should the advertisement use?
The values of x for which:
[tex]P(X > x) = 0.01[/tex]
So
[tex]e^{-\mu x} = 0.01[/tex]
[tex]e^{-0.2857x} = 0.01[/tex]
[tex]\ln{e^{-0.2857x}} = \ln{0.01}[/tex]
[tex]-0.2857x = \ln{0.01}[/tex]
[tex]x = -\frac{\ln{0.01}}{0.2857}[/tex]
[tex]x = 16.12[/tex]
Rounding to the nearest number, the advertisement should use 16 minutes.
Can someone help me how to do this task please?
Answer:
11/12
Step-by-step explanation:
A rectangular blanket is 2x + 1 feet wide and 4x - 3 feet longWhat is the area in terms of x?
Answer:
3/4
Step-by-step explanation:
So remembering the length times width formula:
Put it in an equation-
(2x+1)(4x-3)
Now start to solve for x:
Multiply using 'foil' method:
(2x+1)(4x-3)
8x -6x + 4x -3
8x -2x -3
Now, factrorize 8x^2 - 2x - 3: (Put a square since this is square measures)
8x^2 - 2x - 3 Sum = -2
Product = -24
Two numbers that give you the sum of -2 and product of -24:
-6 and 4
So now factor out like terms:
8x^2 -6x + 4x -3
2x(4x - 3) + 1(4x - 3)
(2x + 1) (4x-3) = 0
Solve for x in both:
2x + 1 = 0
x = -1/2
4x - 3 = 0
x = 3/4
The area cant be negative so the area in terms of x is:
x = 3/4
(Hope this helped)
Pls help I’ll pay u 30$ if it’s right
Answer:
8 5 7 1 3 2 4 6
Step-by-step explanation:
my Cashsap kinqcollin
Which statement is best supported by the Information in the box
plots?
A The median of the data for Student 1 is less than the medianof the data for Student2
B. The interquartile range of the data for Student 1 is equal to the
interquartile range of the data for Student 2
C. The range of the data for Student 1 is greater than the range
of the data for Sludent 2
D. The lowest grade for Student 1 is greater than the lowest
grade for Student 2
Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
how much of a circle does a 100 degree angle turn through
Answer: 5/18
Step-by-step explanation: A circle is 360 degrees so if you are turning 100 degrees... you would get 100/360 of the way around the circle.
100/360 = 5/18
In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles.
Answer: 20.71 m
Step-by-step explanation:
Given
the length of the poles are 25m and 35 m
The length of the cable is 23 m
Suppose the distance between them is x
From the figure, apply Pythagoras theorem
[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]
Distance between Poles is 20.71 m
Please please help please
Answer:
4 times larger
Step-by-step explanation:
The number of points Marcus scored in different rounds of a computer board game is shown
235 342 328 352 352 306 317
6. What score does Marcus need in his next
game to have a mean of exactly 325?
Answer:
583
Step-by-step explanation:
The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:
[tex]\frac{(236)+(342)+(328)+(352)+(352)+(306)+(317)+(x)}{8}=325\\[/tex]
Simplify,
[tex]\frac{2233+x}{8}=352[/tex]
Inverse operations,
[tex]2233+x=2816\\\\x = 583[/tex]
Answer:
It’s 367
Step-by-step explanation:
Which expression is equivalent to the expression given below?
-3.5(2 - 1.5n) 14.5n
-7 - 6n
A.
-7 + 0.75n
B.
-7 - 9.75n
c.
-7 – 9.5n
D
Step-by-step explanation:
- 35/10(2-15n/10) 145n/10 - 7 - 6n
-70/10 +35*15n/100.145n/10 -7-6n
-7 + 525n/100.145n/10 -7- 6n
-14 +5.25n .14.5n -6n
-14 +76.125n^2 -6n is final answer
Find the annual percentage yield of a saving account that pays 2.75% compounded quarterly
Answer:
The annual percentage yield is of 2.78%.
Step-by-step explanation:
Annual percentage yield of an account:
The annual percentage yield of an account compounded n times during the year with a decimal interest rate of r is given by:
[tex]Y = (1+\frac{r}{n})^n - 1[/tex]
Pays 2.75% compounded quarterly
This means that [tex]r = 0.0275, n = 4[/tex]. So
[tex]Y = (1+\frac{r}{n})^n - 1[/tex]
[tex]Y = (1+\frac{0.0275}{4})^4 - 1[/tex]
[tex]Y = 0.0278[/tex]
0.0278 = 2.78%
The annual percentage yield is of 2.78%.
10th grade Geometry Question, I will give brainliest. NEED HELP ASAP!
Answer:
- 1 + 5 + 2 y is your answer I am the teacher
Which figures can have all of the properties shown below?
2 pairs of parallel sides
Sides that are perpendicular
Opposite sides that are equal
square, pentagon, rectangle
trapezoid, triangle, square
quadrilateral, square, rectangle
rectangle, hexagon, square
Answer:
Quadrilateral, square, rectangle
Step-by-step explanation:
An object have parallel sides if the sides have the same distance apart and they never meet.
Quadrilaterals usually have parallel sides
Polygons including triangles and pentagons do not have parallel sides
the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other
Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal
The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
Drag the equation into the box to match the description.
--------------------------------------------------------------------------------------------------------
[ A square has an area of 99 in² ][ - ]
--------------------------------------------------------------------------------------------------------
A.) s=/99in
B.) s=(99)^2in
C.) s=99in
Answer:
s= √99 in.
Step-by-step explanation:
Determine whether the function is periodic. If it is periodic, find the period. f(x)=7sin^3x a. 2pi b. 4pi c. Not periodic d. pi
PLZ ANSWER NO FAKE LINKS
Answer:
Draw a Rectangle with 3/10 at the bottom and 1/2 at the top
Step-by-step explanation:
Have a Nice Day!
What value of c makes this polynomial a perfect square trinomial?
x² + 4x + c
Answer:
4
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Step-by-step explanation:
UV=(-9–(-2)),(-3–(-6))
UV=(-9+2),(-3+6)
UV=(-7,3)
I think you find the change in the x and y components.
Can someone please help me out pleaseeeee !!!!!
Answer:
Step-by-step explanation:
0: -2
1: -4
2: -6
Will give brainliest
Find the probability that a
randomly
selected point within the circle falls
in the white area.
r = 4 cm
a = 3.2 cm
S = 4.7 cm
[? ]%
Round to the nearest tenth of a percent.
Answer:
25.54
Step-by-step explanation:
somebody say it on the comments :)
The probability that a randomly selected point within the circle falls in the red-shaded area is 75.61%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We need to find the probability that a randomly selected point within the circle falls in the white area.
We have been given the following parameters;
Radius r = 4 cm
a = 3.2 cm
S = 4.7 cm
The area of the circle A = πr²
A = π(4)²
A = 16π square cm
Here, The total number of outcomes = 16π square cm = 50.26 square cm
The side length of the pentagon a = 4.7 cm
The area of the pentagon can be calculated using:
Area = (1/4)√[5(5+2√5)]a²
Plug a = 4.7
Area = (1/4)√[5(5+2√5)](4.7)²
After calculating, we get;
Area = 38.01 square cm
The Total favorable outcomes = 38.01 square cm
The probability = 38.01/50.26
The probability = 0.7561
In percent,
The probability = 75.61%
Therefore, the probability that a randomly selected point within the circle falls in the red-shaded area is 75.61%.
Learn more about probability here;
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Answer now please ♀️
Answer:
8/15
Step-by-step explanation:
In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B
tanB = 16/30 = 8/15
Can someone answer this.
Answer:
The first choice
Step-by-step explanation:
D is greater than E and less than C.
C and D are opposites.
At least one number is greater than A.
HELP
Answer:
?
Step-by-step explanation:
Pls help me , ASAP , TIA
Answer:
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.