Answer:
In 50 years there'll be approximately 3582 elephants.
Step-by-step explanation:
If they are decreasing at a rate of 9% per year, it means it's population by year is:
population(0) = 400000
population(1) = population(0)*(100% - 9%) = population(0)*(91%)
population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²
population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³
And so on, so the number of population as years passes is:
population(n) = population(0)*(91/100)^n
In this case we want to know the population of elephants when n = 50, so we have:
population(50) = 400000*(0.91)^50 = 3582.033
In 50 years there'll be approximately 3582 elephants.
Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offering her 5.6% interest per year. For how long will she have to leave her money in the bank in order to reach her goal of $10,000?
Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
[tex]Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44[/tex]
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?
Answer:
The area of sector is [tex]25.12 miles^2[/tex]
Step-by-step explanation:
Radius of circle = 4 miles
We are supposed to find the area of a sector bounded by a 180 arc
[tex]\theta = 180^{\circ}[/tex]
Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]
Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]
Area of sector = [tex]25.12 miles^2[/tex]
Hence The area of sector is [tex]25.12 miles^2[/tex]
NEED HELP PLEASE: Four shaded circles, each of radius 4 feet, are packed in a square as shown. Suppose you drop a coin onto the square at random. What is the probability that the center of the coin lands in a non-shaded area?
Answer:
16.0%
Step-by-step explanation:
Evaluate b - (-1/8) + c where b = 2 and c = - 7/4
Answer:
3/8 = 0.375
Step-by-step explanation:
Substitute the values of b and c
2+1/8-7/4
16/8 + 1/8 - 14/8= 3/8
Answer:
the answer is 3/8
Step-by-step explanation:
it's from khan
a real number line can represent both real and imaginary numbers
True or false ?
Answer:
True
Step-by-step explanation:
what is the surface of the square pyramid ?
A. 168,750 square yards
B. 5625 square yards
C. 14,625 square yards
D. 20,250 square yards
(50 points)
Answer:
D. 20,250 square yards
Step-by-step explanation:
Base + 4 triangles
(75×75) + 4(½×75×97.5)
5626 + 14625
20250 yd²
In a Normal Distribution. What percentage of the values lie below the Mean?
100%
75%
25%
50%
Answer:
50%
Step-by-step explanation:
The mean ideally should be in the exact middle
PLEASE HELP ME! I'm really confusedddddddd!
Answer:
1) Negative (because y value decreases from left to right)
2) Undefined (a vertical line has undefined slope because it fails the vertical line test infinite times)
3) Positive (because y value increases from left to right)
Step-by-step explanation:
Adam and Martha each performed a simulation.
Adam's simulation
• He tossed a fair coin 4 times.
• Each time the coin landed with tails face up.
Martha's simulation
• She randomly chose 1 block from each of two bags containing blocks.
• Each block she chose was labeled with the letter R.
The probability for both Adam's and Martha's simulation were the same. Which two bags could be the
ones Martha used in her simulation?
Answer:
Its D
Step-by-step explanation:
Complete section for 18 points.
Answer:
2,3,4,6, and 8
Step-by-step explanation:
2 is divisible by 24 because it is a multiple of 24
3 is divisible by 24 because it is a multiple of 24
4 is divisible by 24 because it is a multiple of 24
6 is divisible by 24 because it is a multiple of 24
8 is divisible by 24 because it is a multiple of 24
i am not sure about the explain.
i suck at explaining things
Test each of the following to see if it is divisible by 2,3,4,5,6,8,9,10, or 25 and say why.
1)24Answers:
Divisible by 2: yes, because it is an even number. The even numbers are those which end in 0, 2, 4, 6, or 8. Result: 24/2 = 12
Divisible by 3: yes, because the sum of its digits is a multiple of 3: 2 + 4 = 6 is a multiple of 3. Result: 24/3 = 8
Divisible by 4: yes, result: 24/4 = 6
Divisible by 5: no, because a number is divisible by 5 if it ends in 0 or 5.
Divisible by 6: yes, because it is divisible by 2 and by 3, then it is divisible by 6. Result: 24/6 = 4.
Divisible by 8: yes, result: 24/8 = 3
Divisible by 9: no, because the sum of its digits is not a multiple of 9.
Divisible by 10: no, because a number is divisible by 10 if it ends in 0.
Divisible by 25: no, because 25 is a number greater than 24.
SpymoreThe probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.
Answer:
[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of craked eggs", on this case we now that:
[tex]X \sim Binom(n=2, p=0.01)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find this probability:
[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
And we can find the probability:
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
three-fourths the square of a number
Answer:
i think it is D i am sorry if it is wrong
Step-by-step explanation:
plz help
(2x/0.25)−0.525=7.475
what's x?
Answer:
i used calculator and got 1
Step-by-step explanation:
If A and B are independent events and P(A) = 0.8 and P(A and B) = 0.3, find P(B).
*
3/8
6/25
8/3
25/6
Answer:
6\25
Step-by-step explanation:
Solve the following problem:
Given: △SAL, SA = LA
AT − ∠bisector
Prove: m∠L = m∠S
Answer:
[tex]\angle L=\angle S[/tex] using congruence rule
Step-by-step explanation:
Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]
To prove: [tex]\angle L=\angle S[/tex]
Proof:
Two triangles are congruent if they have same shape and same size.
Consider triangles ALT and AST
AL = AS
As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]
AT = AT (common side)
So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )
Here, SAS denotes side-angle-side
[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)
Hence proved
Explanation:
First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.
Since A = A, we can remove A and it gives us m∠L = m∠S.
If you need to show work in math terms, your answer should look something like this:
1. △ ALT ≅ △AST - SAS
2. AL ≅ AS - Given
3. m∠ L ≅ m∠S
Hope this helped!
The image of the point (1, -2) after a rotation of 180° about the origin is
(-2, 1)
(2, -1)
(-1, 2)
Answer:
(-1,2)
Step-by-step explanation:
Found answer on brainly.
Answer:
(-1,2)
Step-by-step explanation:
In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).
(1,-2)×(-1x, -1y)= (-1,2) .
if both points were negative, the points would be positive. if they were positive, they would be negative.
Hunter assumed he would get 64 problems correct on his test, but he actually got 78 correct. What was his percent error? Round to the nearest percent
Answer:
=82%
Step-by-step explanation:
64:78*100=82%
Picture attached PLEASE HELP
Answer:
3
Step-by-step explanation:
The x value is half of the y value on this chart.
The surface area of which composite figure is the sum of the areas of eight triangular faces?
VX
O two rectangular pyramids joined at their congruent bases
two rectangular pyramids joined at two congruent lateral faces
O two triangular prisms joined at their congruent bases
two triangular prisms joined at two congruent lateral faces
Answer:
B
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
Please help! I will give you brainliest !
Answer:
70 and 21
Step-by-step explanation:
6parts of the ratio represents 84 students
Divide 84 by 6 to find the value of one part of the ratio
84 ÷ 6 = 14 ← value of 1 part of the ratio, thus
5 parts = 5 × 14 = 70 ← number of Michigan students
Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21
What is the area of the triangle?
A right triangle with side lengths 3 inches, 4 inches, and 5 inches.
A.6 square inches
B.7 and one-half square inches
C.10 square inches
D.12 square inches
Answer:
The answer is A. 6 square inches
Step-by-step explanation:
The area of a triangle is half the product of the height and base
without calculating steven says that prisms A and B have the same volume. Explain why Steven is correct
Answer:
The shapes are the same, just one is sideways. They also have very similar measurements.
Step-by-step explanation:
Even so, when we check this we get:
(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2
when simplified (solved) this is: 18 3/8 = 18 3/8
Can someone pls help
Answer:
a=he went back home
b=speed=240km/h
Step-by-step explanation:
ps: wouldn't mind brainliest
Answer:
a) Jo moved 1 kn from her starting position at minute 10
b) 0.13 km/min
Step-by-step explanation:
Look at the picture
Can some one help me???
Answer:
You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even
Step-by-step explanation:
(3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)
Answer: [tex]-2x^3-14x^2+7x-4[/tex]
Step-by-step explanation:
[tex](3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)[/tex]
Distribute the negative sign.
[tex](3x^3-2x^2+4x-8)-5x^3-12x^2+3x+4[/tex]
Remove the other parentheses.
[tex]3x^3-2x^2+4x-8-5x^3-12x^2+3x+4[/tex]
Combine like terms.
[tex]-2x^3-14x^2+7x-4[/tex]
Will mark brainliest!
Answer:
48
Step-by-step explanation:
6*8 = 48
I've seen you so "Will mark brainliest," many times today. Do not export people if that is what you're doing.
Answer:
Your answer is 48 sq. ft.
Step-by-step explanation:
Why? Because A= L(W) Therefore, A= 8(6)=48
E=mc
(the 'c' is squared btw.. it has a little 2 at upper right conner)
To solve for " m " in the formula shown above, you should:
Select one:
a. A.) Divide both sides of the equation by c squared.
b. B.) Subtract c squared from both sides of the equation.
c. C.) Multiply both sides of the equation by c squared.
d. D.) Add a negative c squared to both sides of the equation.
Answer:
A
Step-by-step explanation:
Divide both sides of the equation by c²
Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x
Answer:
ln(216[tex]x^{4}[/tex] )
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log(xy)
log [tex]x^{n}[/tex] ⇔ n log x
Given
3ln6 + 4lnx
= ln 6³ + ln[tex]x^{4}[/tex]
= ln (216[tex]x^{4}[/tex] )
Surface area of a cylinder in terms of pi
Help me I will give you brainliest!!!!
Answer:
2/36
Step-by-step explanation:
There are 36 possibilities when rolling a die
There are 2 that sum to 11
P (sum of 11) = sum of 11/ total
=2/36
1/18
