A certain forest covers an area of 5000 km². Suppose that each year this area decreases by 5%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
The forest will cover an area of approximately 2994 square kilometers after 10 years.
Step-by-step explanation:
A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.
We can write an exponential function to represent the situation. The standard exponential function is given by:
[tex]\displaystyle f(x) = a(r)^x[/tex]
Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).
Since the original area is 5000 square kilometers, let a = 5000.
Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.
Thus, our function is:
[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]
Then after 10 years (x = 10), the area will be:
[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]
In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.
Please help quick I still can’t figure it out
Step-by-step explanation:
3+21+7+3+21+7
7. You are on a field trip. You have to travel 73 miles to reach
your destination. You have traveled 29 miles so far. How
much further do you have to travel?
10 marbles.
Answer:
44
Step-by-step explanation:
Take the miles you already traveled and subtract it from the total.
73-29=44
I will give brainlist to whoever will do this for me and I will help with anything you need
(10-1)(10-2)(10-3)(10-10)
Answer:
0
Step-by-step explanation:
(10-1=9)(10-2=8)(10-3=7)(10-10=0)
9*8*7*0=0
4. Your first six-month auto insurance premium was $729.00. Based on your good
driving record, your renewal premium is $648.81. What percent decrease did you see
in your premium? (2 points)
I
Answer: 11%
Step-by-step explanation:
729-648.81=80.10
What percent is 80.10 of 729
%/100 = is/of (this may help you)
X/100 = 80.10/729 (cross multiplication)
(80.19*100)/729 =
11%
Solve the inequality. Graph the solution - 30 points
[tex]\\ \rm\Rrightarrow 26+6b\geqslant 2(3b+4)[/tex]
[tex]\\ \rm\Rrightarrow 26+6b\geqslant 6b+8[/tex]
[tex]\\ \rm\Rrightarrow 6b-6b\geqslant 8-26[/tex]
[tex]\\ \rm\Rrightarrow 0\geqslant -14[/tex]
Hence
It has no solutions
Answer:
A. All Real Numbers
Step-by-step explanation:
26 + 6b ≥ 2(3b + 4)
~Simplify
26 + 6b ≥ 6b + 8
~Subtract 26 to both sides
6b ≥ 6b - 18
~Subtract 6b to both sides
0 ≥ -18
Best of Luck!
Ramesh buys 10 containers of juice from one shop and 18 containers of the same juice
from another shop. If the capacity of each container is same and the cost of each of the
container is ₹150, find the total money spend by Ramesh.
4200
Step-by-step explanation:
10 × 150 = 1500
18 × 150 = 2700
So
1500 + 2700 = 4200
The GCF of two numbers is 3.
Their LCM of the two numbers is less than 20.
Which could not be the two numbers?
Answer:
Step-by-step explanation:
Let say a and b the 2 natural integers with 0 < a< b.
Since a*b=GCF(a,b)*LCM(a,b)
a*b < 3*20=60
[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]
My victory will be in your hands if you answer this ✌✌✌✌✌
Add dress and shoes together:
30 + 25 = 55
1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)
Multiply total price by 4/5:
55 x 4/5 = (55 x4)/5 = 220/5 = 44
Total after discount is 44
Now add shipping:
44 + 8 = 52
Total paid = £52
Answer:
She will pay $52
Step-by-step explanation:
So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars. By the way substitute this money sign $ for the one on your page
Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
1.Write the linear equation that models the equation?
2.What is the cost per T-shirt?
3.What is the standard shipping and handling bag?
Step-by-step explanation:
Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.
The second word problem is:
It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)
Cost= m x+b
x is the cost per shirt, b is the handling charge
295=40m+b
565=80m+b
subtract the first equation from the second:
370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b
One the second question,
Cost= variable cost * n + Fixedcosts or
cost= n*v+F
1250=500v+f
1050=100v+f
subtract the second equation from the first
200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.
Determine the supplement of each angle measure.
63°
Answer:
117 is the answer of your questions
Step-by-step explanation:
supplement=180
given angle=63
180-63=117
F(-3,-2), I(-4, 3), A(-2,3), M(1, -1)
to
I’(-4,-3), A’ (-2, -3), M’(1,1), F(-3,2)
please help me
I will give you 20 points
How to do 6x times 1/x
Answer:
6
Step-by-step explanation:
6x * 1/x = 6x/1 * 1/x the x on top cancels the x on bottom so
= 6/1 * 1/1 = 6
Emily received a check from her grandmother for $40.00 for her birthday. To cash the check, her bank requires her to deposit the funds into her account. Since she wanted to spend the money that afternoon, she withdrew $40.00 in the same transaction. Jacoby went on a hiking trip on the Rocky Bend Loop. Starting at an elevation of 1,200 feet, he hiked up the eastern trail leading to a change in elevation of 782 feet to get to the campsite. The next day he hiked down the western trail which had a change in elevation of 782 feet to get back to his car. During the top of the fourth inning of a baseball game, the Ravens scored three runs. During the bottom of the fourth inning, the Raiders scored five runs to tie the game. Marcus runs a sightseeing service in the Appalachian Mountains. The first leg of the tour is a 16.2-mile horseback ride from the stables up the side of a mountain. The second leg of the tour is a 20.6-mile four-wheeler ride taking a different path down the mountain to the customer parking lot. A carbon 12 atom has six neutrons, six protons, and six electrons. The neutrons have no charge, each proton has a positive charge, and each electron has a negative charge of the same magnitude. To start the second half of the basketball game, the Eagles made a jump shot for two points. The Bulldogs then took the ball down the court on a fast break and made a layup for two points.
Answer:
pretty sure ypu arent suppose to send your entire math homework like this
Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6
Answer:
angle 1 and angle 7 are alternate exterior angles.
angle 1 and angle 5 are corresponding angles.
angle 3 and angle 8 are same side interior angles.
angle 2 and angle 8 are alternate interior angles.
Step-by-step explanation:
Find the perimeter. Simplify your answer.
4p-1
4p-1
4p-1
4p-1
I need some help solving this.
6÷2(1+2)
Answer:
it is 1
Step-by-step explanation:
brainliest?
Answer:
9
Step-by-step explanation:
According to the BODMAS
Bracket first, division second, multiplication third
Write in mathematical expression and simplify "5 tiems the sum of 12 and 8".
Step-by-step explanation:
5(12+8)...
if my answer helps you than mark me as brainliest.
14) A blizzard produced 9 - inches of snow. The
sun came out for three days and melted 7 - inches
How much snow remains after the three days?
Answer:
2 3/8 in.
Step-by-step explanation:
[tex]9\frac{1}{2}-7\frac{1}{8}\\\\9\frac{4}{8}-7\frac{1}{8}\\\\2\frac{3}{8}[/tex]
Identify the rule for the following pattern:
12, 25, 38...
Answer:
13
Step-by-step explanation:
The common difference is 13 I
12 + 13 = 25
25 + 13 = 38
And so on.....
1. the the sum of certain number and 63 is 88. what is the number?
Answer:
25 (88-63=25)
Step-by-step explanation:
As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.
That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.
I’m sorry about that. I never would have imagined myself choosing those two over you.
I’m gonna die soon,
but I’ll die without regrets.
Or that’s what I’d like to say.
Truth is, I do have one.
It's that I never got to marry you...
With love, Ymir.
just subtract them
88 - 63 = 25
thus, the number would be 25
hope this helps :)
5(2x−3) Simplify the Expression
Answer:
[tex]10x−15[/tex]
Step-by-step explanation:
[tex]5(2x−3)[/tex]
[tex]5(2x)+5( −3)[/tex]
[tex]10x+5(−3)[/tex]
[tex]10x−15[/tex]
Hope it is helpful....Answer:
[tex]10x + 15[/tex]
Step-by-step explanation:
[tex]5(2x−3) [/tex]
[tex]5(2x)+5(−3)[/tex]
[tex]10x + 15[/tex]
Hope it is helpful......Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 Find F{G[H(2)]}. 27 71 121
Answer:
27
Step-by-step explanation:
H(2)=2^2=4
G(H(2))= 3(4) +2=14
F(G(H(2)))=2(14)-1=27
Which function is represented by the graph below?
Answer:
I believe it's an exponential parent function
Step-by-step explanation:
8. Find the common factors of 75,100 and 60
stick with 60
start trying 1 to 10
then
10, 20, 30, 40, 50, 60
1 , 2 , 4 , 5 , 10, 20, 40, 50
Point W is on line segment V X. Given VX = 18 and VW = 14 determine the length W X
Answer: WX = 4
Concept:
Here, we need to know the idea of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
VX = 18
VW = 14
Given expression deducted from the segment addition postulate
WX = VX - VW
Substitute values into the expression
WX = 18 - 14
Simplify by subtraction
WX = 4
Hope this helps!! :)
Please let me know if you have any questions
Which one describes the algebraic expression for the phrase, "the sum of a number and its square"?
n + n2
n + 2
2n
n + 2n
What is (x)
9.4x+17.5
Answer: x=1.8617
Step-by-step explanation: 9.4x+17.5 9.4x/9.4=17.5/9.4 x=1.8617
