A mountain in Jackson County is eroding and losing elevation at a rate of 5% every
millennium. If the current elevation is 1,300 meters, how tall will the mountain be in 8
millennia?
mund your anuor to the noroctwhold number

Answers

Answer 1

Answer:

862 m (nearest whole number)

Step-by-step explanation:

General form of an exponential function: [tex]\sf y=ab^x[/tex]

where:

a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)

Given:

a (initial value) = 1300 mb = 95% = 0.95x = 8 millennia

Substituting these values into the formula:

[tex]\sf \implies y=1300(0.95)^8[/tex]

[tex]\sf \implies y=862.4467607...[/tex]

[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]


Related Questions

Is the inequality below true or false, if m m+9 True
False

Answers

The answer should be true

Helppp plssssss!!!!!!

Answers

1) Not Congruent

2) Congruent

3) Congruent

4)Congruent

A box of Cheerios is 2 inches wide, 8 inches long, and 12 inches high. The box is half empty. What is the
volume of Cheerios left in the box?

HELPPP

Answers

Answer: 96

Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.

Given the regular polygon ABCDEF with side lengths of 16 km, find the area of the shaded region. Round your answer to the nearest tenth.

Answers

The hexagon surface area is the amount of space on it

The surface area of the hexagon is 665.11 square centimeters

How to determine the surface area?

The question is incomplete, as the diagram is not given.

So, I will calculate the surface area of the hexagon.

The side length of the hexagon is given as:

L = 16 km

The surface area of the hexagon is calculated using:

A = 1.5[tex]\sqrt3[/tex]L^2

This gives

A = 1.5 * [tex]\sqrt3[/tex] * 16^2

Evaluate the product

A = 665.11

Hence, the surface area of the hexagon is 665.11 square centimeters

Read more about area at:

https://brainly.com/question/24487155

Solve by factorising.
x² - 7x+10=0

Answers

Answer:

x²-7x+10=0
x²-5x-2x+10=0
x(x-5)-2(x-5)=0
(x-2)(x-5)=0 ANS!

Step-by-step explanation:

First we will multiply x² into 10, the answer will be 10x². Now, take L.C.M of 10, the L.C.M will be 5x2 or 2x5. Now we will make sure that:
2x x 5x=10x² while 5x+2x=7x. Now, we know that 7x is in negative so, we will change the signs and it will become x²-5x-2x+10=0. Now take common:
x(x-5)-2(x-5)=0. Now, write the common taken numbers first and then the other brackets in last i.e: (x-2)(x-5)=0

Please Help Me!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?

The discounted price for milk is $_____(Round to the nearest cent.)

Answers

Answer:

$2.25 is the discounted price for each gallon.

Step-by-step explanation:

So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.

Have a nice day!

Please help with algebra

Answers

Answer:

54%

Step-by-step explanation:

Solve 3x2 = -12x - 15.
Ox= -4 + 2i
Ox=-4+1
Ox=-2 + 2i
Ox= -2

Answers

Answer:

x = -2 - i,  -2 + i.

Step-by-step explanation:

3x2 = -12x - 15

3x^2 + 12x + 15 = 0

Divide through by 3:

x^2 + 4x + 5 = 0

x^2 + 4x = -5

Completing the square:

x^2 + 4x + 4 = -5 + 4

(x + 2)^2 = -1

x + 2 =  √-1 = i

x = -2 - i, -2 + i.

What is the domain of the function graphed below?

Answers

Answer:

The second option

Step-by-step explanation:

Hello!

The domain of a graph is the interval in which the graph is on the x values.

This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.

The answer would be the second option: [tex]D : x/x \geq -3[/tex]

The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0

please help like i really need it

Answers

Answer:

145 degrees.

Step-by-step explanation:

It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35

Convert: 82 inches = _____ feet _____ inches


A. 27 feet 1 inch

B. 6 feet 10 inches

C. 6 feet 8 inches

D. 984 feet 0 inches

PLS ANSWER IF SURE

Answers

Answer:

B. 6 feet 10 inches

Step-by-step explanation:

82 inches = 6 feet 10 inches

1 ft = 12 inches

Divide 82 by 12 Quotient = 6 ftRemainder = 10 inches

-> 82 inches = 6 feet 10 inches

CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE DOWN BELOW!

Answers

how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?

assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:

o²= m²+n²

= 4.7²+5.5²

=52.34

o=V52.34

≈7.23

Calculate the constant difference
1,2,3

Answers

1

Step-by-step explanation:

Seeing its an arithmetic sequence

T1=1......T2=2.....T3=3

To get your constant difference

T2=T1 is also equals to T3=T2

so 3-2=1 and 2-1=1

therefore the constant difference is 1

What are the period and amplitude
of the function?

period T; amplitude : 1.5

period T; amplitude
3

period : z; amplitude : 1.5
O period
~; amplitude : 3

Answers

Answer:

period is pie/2 and amplitude is 3

the meaning of amplitude is on the photo

HELP PLEASE <3

What is the area of the circle with the equation 2x2 + 2y2 = 8?

show work pls !!

Answers

Answer:

4pi

Step-by-step explanation:

Divide through by two to get

x^2 + y^2 = 4       4 = radius squared     radius = 2

area = pi r^2 = 4 pi

Answer: 4π

Step-by-step explanation:

Under the assumption that those are exponents, and your equation is:

[tex]2x^2+2y^2=8[/tex]

You first must turn this circle equation into standard form. The standard form for the equation of a circle is as follows:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

For your case, the constants 'a' and 'b' are clearly zero. We have an annoying coefficient of 2 which can be cancelled by dividing both sides by 2:

[tex]x^2+y^2=4[/tex]

If you'd like, we can write this in the following way:

[tex](x-0)^2+(y-0)^2=2^2[/tex]

So, our circle is centered at the origin (0, 0) and has a radius of 2 units. The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (2^2)=4\pi[/tex]

9 1/10 - 4 3/4

Help please

Answers

Answer:

[tex]4\frac{7}{20}[/tex]

Hope This Helps! :)

Answer:

[tex]4\frac{7}{20}[/tex]

Step-by-step explanation:

[tex]9\frac{1}{10}-4\frac{3}{4}[/tex]

Convert in improper fractions:

[tex]\frac{10*9+1 }{10} -\frac{4*4+3}{4}\\\\\frac{90+1}{10}-\frac{16+3}{4}\\\\\frac{91}{10}-\frac{19}{4} < ==find\ the\ LCM\ or\ the\ common\ denominator\ for\ 10\ and\ 4\ (20)\\\\\frac{182}{20} -\frac{95}{20}\\\\ \frac{87}{20} < ==convert\ to\ a\ mixed\ fraction\\\\ 4\frac{7}{20}[/tex]

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 10:

10, 20, 30, 40

LCM of 4 and 10 is 20.

Hope this helps!

What is the multiplier for a 58% decrease

Answers

Answer:

A. 0.58

Step-by-step explanation:

Find the perimeter of each figure. 6 cm 2 cm 2 cm 6 cm

Answers

Answer:

That's not full question

Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?

Answers

Answer:

a 40 sheets/min

b 2400 sheets

c25mins

Step-by-step explanation:

a

120/3=40 sheets /min

b

40*60=2400

c

1000/40=25

Answer:

1) 40 sheets/minute 2) 2400 3) 25 minutes

Step-by-step explanation:

it math questions: true or false!​

Answers

Answer:

1 true 2true 3false 4true 5 true

Answer:

1: True 2: False 3: True 4: True 5: False

Which of the following are solutions to the inequality below? Select all that apply.

4 ≥
r

Answers

Answer:

r=1

Step-by-step explanation:

1 is lower than for. The sign also suggests that its could be 4 as well

what is the expanded form of 812004?​

Answers

Answer:INDIAN SYSTEM

8,00,000 + 10,000 + 2,000 + 4

Eight Lack Twelve Thousand And Four

INTERNATIONAL SYSTEM

800,000 + 10,000 + 2,000 + 4

Eight Hundred And Twelve Thousand And Four

hope this is the expected answer!!,if it is correct/satisfying then PLS mark Brainlist

(: !!HAVE A NICE TIME!! :)(: !!STAY SAFE!! :)

Find the exact circumference of a circle with a diameter of 5 inches.

The circumference is
inches.

Answers

Answer:

15.7 in

Step-by-step explanation:

You can use the below formula to find the circumference of the circle.

C = π × d

Here,

d ⇒ diameter ⇒ 5 in

Let us find it now.

C = π d

C = 3.14 × 5

C = 15.7 in

Answer:

The exact diameter is 15.707963267948966192313216916398 inches multiplied by full form of pi.

________________________________________________________

Solve

Set C as your substitute for circumference.

[tex]C =[/tex]

Now that we have this, we need to assign a value of pi long form followed by the diameter, which is 5 inches².

[tex]C = \pi d[/tex]

[tex]d = 5[/tex]

Lastly, ignore C, and multiply pi by the diameter, d.

[tex]\pi * d = 15.707963267948966192313216916398[/tex] without rounding

________________________________________________________

Questions?

Ask in the comments box.

25% of z is 150. Find the value of z.
(Can y’all show your work on this so I know how you got it)

Answers

The answer is 600
25 x 4 =100
150 x 4 = 600
checking work
.25 x 600= 150

Answer:

z = 600

Step-by-step explanation:

Method 1 - ratios

If 150 is 25% then z is 100%:

[tex]\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}[/tex]

Method 2

Calculate the amount for 1%, then multiply by 100% to find z:

25% = 150

⇒ 1% = 150 ÷ 25 = 6

⇒ z = 100% = 6 x 100 = 600

Find the area of each circle with the given radius or diameter. Use 3.14 for pi.

Answers

Answer: (Note*: Radius is half of the diameter, so the d = 2 and d = 12 have been converted into radius's instead to solve the problem).

r^2 = 4 in: 50.24 in^2.

r^2 = 2 in: 12.56 in^2.

d = 2 or r^2 = 1 in: 3.14 in^2.

r^2 = 8 in: 200.96 in^2.

d = 12 or r^2 = 6 in: 113.04 in^2.

Step-by-step explanation: To find the area of a circle, you need the radius squared times pi, which is 3.14.  The following is solved below:

4^2 x 3.14 = 50.24 in^2.

2^2 x 3.14 = 12.56 in^2.

1^2 x 3.14 = 3.14 in^2.

8^2 x 3.14 = 200.96 in^2.

6^2 x 3.14 = 113.04 in^2.

Therefore, the following above are the answers you need.

Let me know if this is right! :)

Answer:

r = 4.)  50.24

r = 2.) 12.56

d = 2.) 3.14

r = 8.) 200.96

d = 12.) 113.04

Step-by-step explanation:

The formula for finding the area of a circle would be π(pi) x r (radius)²

1.) r = 4

4 x 4 = 16

16 x 3.14 = 50.24

2.) r = 2

2 x 2 = 4

4 x 3.14 = 12.56

3.) d = 2

2 ÷ 2 = 1

1 x 1 = 1

1 x 3.14 = 3.14

4.) r = 8

8 x 8 = 64

64 x 3.14 = 200.96

5.) d = 12

12 ÷ 2 = 6

6 x 6 = 36

36 x 3.14 = 113.04

-kiniwih426

Determine the value of the angle.

Angle ADF=

Answers

Answer:

90 degree

Step-by-step explanation:

we can see that angle adf is a right angle which means it's value is 90 degree

Simplify
chapter name:rationalization of surds

Answers

[tex] \frac{ \sqrt{6} }{ \sqrt{2} \times \sqrt{2} } [/tex]

[tex] \frac{ \sqrt{6} }{2 \sqrt{2}} [/tex]

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ノ

Answer:

Step-by-step explanation:

find the x and y intercepts of the linear equation 2x - 4y = -20

Answers

Answer:

see explanation↓

Step-by-step explanation:

We are given the following equation of a line:

[tex]2x-4y=-20[/tex]

To determine the x-intercept we must set "y = 0":

[tex]2x-4(0)=-20[/tex]

[tex]2x=-20[/tex]

Now, we divide both sides by 2:

[tex]x=-\frac{20}{2}=-10[/tex]

Therefore, the "x" intercept is -10.

To determine the y-intercept we set "x = 0":

[tex]2(0)-4y=-20[/tex]

[tex]-4y=-20[/tex]

Now, we divide both sides by -4:

[tex]y=\frac{-20}{-4}=5[/tex]

Therefore the y-intercept is 5.

A) tan
B) tan^2
C) 1
D) -1

Answers

Answer:

A) [tex]\tan \theta[/tex]

Step-by-step explanation:

[tex] \frac{\sin \theta}{ \sqrt{1 - { \sin}^{2} \theta } } \\ \\ = \frac{\sin \theta}{ \sqrt{ { \cos}^{2} \theta } } \\ \\= \frac{\sin \theta}{{ { \cos} \theta } } \\ \\ = \tan \theta[/tex]

determine if - 2r + 6r^5 + sr is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial​

Answers

The polynomial, - 2r + 6r^5 + sr is a trinomial.

The degree of the polynomial is 5.

What is a Polynomial?

A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.

The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.

Given the polynomial, - 2r + 6r^5 + sr:

It has three terms, therefore, it is a trinomial.

The degree of the polynomial is 5.

Learn more about polynomials on:

https://brainly.com/question/2833285

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