Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010

Answers

Answer 1

Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres


Related Questions

a greater number than -8​

Answers

Practically anything above -8
Such as -7, 2, 15600, anything not under -7.9

3 2/3 divide 1 2/7 in simplest form

Answers

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

Hope it helped!

what the other person said

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

X+8=0 in standard form please show work

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Step-by-step explanation:

X + 8 = 0

- 8 -8

X = -8

Answer: -8

Question 13 please I really need help and if you can show your work thank you

Answers

Answer:

20.34 % of annual net income is spend on food.

Step-by-step explanation:

Amount spend on food = $7104

Annual net income = $ 34,910

We need to find what percent of their annual net income is the amount spend on food.

The Formula used will be:

[tex]Percentage=\frac{Amount\:spend\:on\:food}{Annual\:net\:income}\times 100[/tex]

Putting values of amount spend on food and Annual net income and finding percentage

[tex]Percentage=\frac{7104}{34910}\times 100\\Percentage=0.2034 \times 100\\Percentage=20.34\%[/tex]

So, 20.34 % of annual net income is spend on food.

Simplify -2(8a + 6) + 10a

Answers

Answer:

The correct answer is,

[tex] - 6a - 12[/tex]

Answer:

-6(a+2)

Step-by-step explanation:

-2(8a + 6) + 10a

-16a-12+10a

Ashley is buying her husband new video games for his PS4. The new Call of Duty and Madden Football is a total of $98.35. How much does each game cost if they cost the same amount?

Answers

Answer: $49.18

Step-by-step explanation:

$98.35 divided by 2 equals 49.175 if rounded it is $49.18

Which congruent theorem can be used to prove..

Answers

Answer:

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

Diana buys 7 cups of orange juice. Each cup of orange juice cost $0.81. How much does diana spend?

help pls

Answers

Answer: $5.67

Step-by-step explanation: Multiply

Answer:

$5.67

Step-by-step explanation:

Since Diana bought 7 cups of orange juice and each cost $0.81, you just need to multiply $0.81 by 7.

Solve for x
5x + 2 = 17

Answers

Answer:

r

Step-by-step explanation:

r

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5x+2=17  Equation/Question

Step 2

5x+2=17  Simplify

5x+2=17

Step 3

5x+2=17  Subtract 2

5x=15

Step 4

5x=15  Divide

answer

x=3

Hope this helps

Find each missing number
Z
+ 179
496​

Answers

Answer:

317

Step-by-step explanation:

496 - 179 = 317. Z = 317.

Middle School A and Middle School B both planned trips to Washington D.C. using the
same rental company. Middle School A rented 6 vans and 6 buses for its 186 students.
Middle School B rented 2 vans and 4 buses to transport its 110 students. How many
students do the rental vans seat? How many students do the rental buses seat?

Answers

Answer:

each van can transport 15 students

Step-by-step explanation:

186 divied by 2 and you get 93 then you divied that by 6 and you get 15.5 you cant have .5 sutdents on a van so you round down and get 15 students.

Admission to the the zoo is $15 and each individual ticket costs $3.50. What of the following expressions could represent the scenario?
15x + 3.5
15 +3.5x
18.50x
3.5x - 15​

Answers

Answer:

b.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

A gray whale's heart beats 64 times in 8 minutes. What is the whale's heart rate in beats per minute? 8 heartbeats per minute 56 heartbeats per minute 72 heartbeats per minute 512 heartbeats per minute

Answers

Answer:

8 heart beats per minute

Step-by-step explanation:

64/8

Please help me I will mark you BRAINLIST

Answers

Answer:

probably 300

Step-by-step explanation:

I have no idea I'm in 6 grade sorry

8
The following three shapes are based only on squares, semicircles, and quarter circles.
Find the perimeter and the area of each shaded part. Give your answer as a completely
simplified exact value in terms of 7 (no approximations).
b
A
D
1
1
B
9 cm
You probably have a mistake in the highlighted field(s).
FInD THE PERIMETER

Answers

Answer:

18+9pi

Step-by-step explanation:

Area of square minus area of the circle

Answer:

WHAT WAS THE ANSWER TO 9A PLEASEEEEE

Step-by-step explanation:

Change 41 out of 50 to a percentage.​

Answers

Step-by-step explanation:

50x=41*100

50x=4100

x=4100/50

x=82%

Need help on this one, can someone please answer this?

Answers

Answer:

quadrant 3

Step-by-step explanation:

4x - 3y = 11
2x - 5y = 25

solve using elimination and substitution method​

Answers

Answer:

hope it helps forget about my writing

Answer:

(-1.43, -5.57)

Step-by-step explanation:

Elimination:

First we need to line up x or y to be the opposite so they can be eliminated:

4x - 3y = 11

-2( 2x - 5y = 25) which is

-4x + 10y = -50

Next step we cancel out the x but adding both equations which would isolate the y:

7y = -39

y = -5.57

After finding y, plug it back into the equation to find x:

4x - 3(-5.57) = 11

4x + 16.71 = 11

4x = -5.71

x = -1.43

To ensure it is correct, we can plug it back into both equations:

4(-1.43) - 3(-5.57) = 11

2(-1.43) - 5(-5.57) = 25

a banker pays 564 for a bill of 600 due at 6 months hence. What is the rate percent per annum the bank has deducted from the bill ?

Answers

it is 50205££29329 diskfkahkdwvifowidjwkskskd s a a a s a a. a a

Answer:

Rs.18

Explanation:

[tex]T= 6 months = 1/2 year[/tex]

[tex]R=6[/tex]%

[tex]TD=\frac{BD(100)}{100+TR} = \frac{18.54(100)}{100+((\frac{1}{2}) 6)}=Rs.18[/tex]

Pls help extra points and mark brainlist

Answers

Answer:

Freetime!

Step-by-step explanation:

Leisure means happy place or a free space or in this case "Freetime"!

The right answer is: freetime

The number of DVDs sold at a store in a month was 925 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 507 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months.
Write a system of equations by filling in the blanks:
d= _ t+ _
d= _ t+ _
Solve the system of equations using the substitution method. Complete the sentence to describe the solution.
There will be _ DVDs and Blu-Ray discs sold per month in _ months

Answers

Answer:

See below

Step-by-step explanation:

DVDs

d = 925 - 12t

Blu-rays

d = 507 + 26t

Solve the system:

925 - 12t = 507 + 26t26t + 12t = 925 - 50738t = 418t = 418/38t = 11

Number of disks sold in 11 months:

925 - 12*38 = 469

There will be 469 DVDs and Blu-Ray discs sold per month in 11 months

Please help this is for another person who doesn’t know the answer :)

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Answer:

The answer is,

[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]

Which list shows the numbers ordered in ascending order

Answers

C

Step-by-step explanation:

C is the only one that goes greater and greater

C. [tex]-2\frac{3}{8}[/tex] < -8/6 < -0.85 < 0.8 < 4/3 < 140% in ascending order.

What is ascending and descending order ?

In ascending order we write numbers from smaller to greater and in descending order we write numbers from greater to smaller.

According to the given question we have list of fractions decimals and percentages and we have to write them in ascending order.

given [tex]-2\frac{2}{8}[/tex], - 0.85, 4/3, 140%, -8/6, 0.8.

Now let convert all these into one form we choose to convert them in percentage.

[tex]-2\frac{3}{8}[/tex] is -19/8 = -2.375 = -237.5 %.

-0.85 = - 85%.

4/3 = 133%.

140% = 140%

-8/6 = -133%

0.8 = 80 %.

∴   [tex]-2\frac{3}{8}[/tex] < -8/6 < -0.85 < 0.8 < 4/3 < 140%.

learn more about ascending and descending order here :

https://brainly.com/question/320500

#SPJ2

Two pools are leaking After 15 minutes pool A has leaked 2/3 gallon After 20 minutes pool B has 3/4 gallon Which pool is leaking faster

Pls fast

Answers

hope it will help you...........

PRE CALC HELP 50 PTS

Answers

Answer:

[tex] \sec( \frac{x}{3} ) + 4 > 2 - \sec( \frac{x}{3} ) \\ 2 \sec( \frac{x}{3} ) > - 2 \\ \sec( \frac{x}{3} ) > - 1 \\ \boxed{y = \sec( \frac{x}{3} )} \\ \boxed{y = - 1}[/tex]

B) is the right answer.

Answer:

B

Step-by-step explanation:

We want to solve the inequality:

[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)+4>2-\sec\Big(\frac{x}{3}\Big )[/tex]

First, we can add sec(x/3) to both sides:

[tex]\displaystyle2 \sec\Big(\frac{x}{3}\Big)+4>2[/tex]

Subtracting 4 from both sides yields:

[tex]\displaystyle 2\sec\Big(\frac{x}{3}\Big)>-2[/tex]

And dividing both sides by 2 yields:

[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)>-1[/tex]

Therefore, we can graph the following two functions:

[tex]\displaystyle y=\sec\Big(\frac{x}{3}\Big)\text{ and } y=-1[/tex]

Where our solutions will be all the intervals where y = sec(x/3) is above the line y = -1.

I will give brainiest to whoever answers correctly !!

Answers

Answer:

The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

Step-by-step explanation:

This can be determined using the formula for calculating the future value (FV) formula as follows:

FV = PV * (1 + r)^n ................................. (1)

Where;

FV = Future value or the amount the graduate will have at end of 36 months = ?

PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850

r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778

n = number of days = 36 months * 360 days = 12,960

Substituting the values into equation (1), we have:

FV = $2,850 * (1 + 0.0000277777777777778)^12,960

FV = $2,850 * 1.43332224806396

FV = $4,084.96840698229

Approximating to the nearest cent as required, we have:

FV = $4,084.97

Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

need help with this

Answers

Answer:

There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5

Step-by-step explanation:

Answer:

3:5

Step-by-step explanation:

I think that it's 3:5 because

Mixed paint:3+2=5

Yellow:3

yellow : mixed paint

3:5

Sand falls onto a conical pile at the rate of 10 cubic feet per minute. The radius of the pile is always equal to one half it altitude. How fast is the altitude of the pile increasing when the pile is 5 feet high?​

Answers

Answer:

Either one of these.

Step-by-step explanation:

volumepile=1/3 (PI r^2)h

but r=h/2, so

volume=1/12 PI h^3

dv/dt=10 ft^3/min

but dv/dt=1/12 PI 3h^2 dh/dt

solve for dh/dt

This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula

_______________________________________________

given: r = h/2

V = (1/3)π r^2 h

= (1/3)π (h/2)^2 (h)

= (1/12) π h^3

dV/dt = (1/4)π h^2 dh/dt

for the given data ...

10 = (1/4)π(25)dh/dt

dh/dt = 10(4)/((25π) = 1.6/π feet/min

John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price?

A.$22.50
B.$65.00
C.$67.50
D.$112.50

Answers

Answer:

A

Step-by-step explanation:

Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100

divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.

then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.

The answer is A akbdjbd d

GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:

y = x + 3

7x - y = 3

Group of answer choices

(1 , 4)

(-1 , -4)

(-1 , 4)

(1 , -4)

Answers

Answer:

(1, 4)

Step-by-step explanation:

subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3

get rid of the (), which you will get 7x-x-3=3

combine like terms and get 6x-3=3

move 3 to the other side and divide both sides by 6 and get x=1

use the first equation y=x+3 and subsitude 1 for x and get y=1+3

y=4

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