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

2. Help me find the mode of these data set: 12, 10, 10, 10, 13,12, 11, 13, 10
(2 Points)
1. 10
2. 10 & 12
3. no mode
4. 12

Answers

Answer:

10 is the answer for this

please mark me as brilliant

Algebra 1 (100 points) Look at screen shot

Answers

Answer:

Lin has provided the correct answer.

Step-by-step explanation:

The equation has two roots as a quadratic equation.

Elena's solution ends up with loss of one of the roots when cancelling the variable.

Lin gets two roots, so she is correct.

Answer:

Lin gave Correct answer

Step-by-step explanation:

Let's solve by ourselves once

x²=7xx²-7x=0x(x-7)=0x=0,7[/tex]

verified

factor each completely

m^2 + m - 90

Answers

Answer:

(m - 9) (m + 10)

Step-by-step explanation:

m² - 9m + 10m - 90

(m² - 9m) + (10m - 90)

m(m - 9) + 10 (m - 9)

Final answer;

(m - 9) (m + 10)

A gumball machine contains 232323 green gumballs, 525252 red gumballs, 343434 blue gumballs, 616161 yellow gumballs, and 303030 pink gumballs. What percentage of the gumballs are red?.

Answers

Answer:

%26

Step-by-step explanation:

We can set up a proportion to find out what percentage of the gumballs are red:

[tex]\frac{525252}{232323+525252+343434+616161+303030} =\frac{x}{100}[/tex]

[tex]\frac{525252}{2020200} =\frac{x}{100}[/tex]

[tex](525252)(100)=2020200(x)[/tex]

[tex]\frac{(525252)(100)}{2020200} =x[/tex]

[tex]26=x[/tex]

Since we set up x as a fraction of 100 when writing the proportion we can say that the percentage of red gumballs is %26.

A rectangular shape of dimension 95 m by 75 is drawn to a scale 1cm to 10m. Find the area of the drawing.

Answers

Scaled dimensions

95/10=9.5cm75/10=7.5cm

Area:-

Length ×Breadth9.5(7.5)71.25cm²

The area of the drawing is 71.25 square cm.

What is Area of Rectangle?

The area of Rectangle is length times of width.

The actual dimensions of the rectangle are 95 m by 75 m.

The drawing is made to a scale of 1 cm to 10 m, which means that each centimeter on the drawing represents 10 meters.

Let us find the area of the drawing

First calculate the area of the rectangle in real life, and then scale it down using the ratio of 1 cm to 10 m.

The area of the rectangle in real life is:

95 m × 75 m = 7125 square meters

To scale this down to the drawing, we need to divide both dimensions by 10.

The area of the drawing is

(95 m / 10) × (75 m / 10)

= 9.5 cm × 7.5 cm

= 71.25 square cm

Therefore, the area of the drawing is 71.25 square cm.

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Frank, Steven, and Daniel share 4 pizzas equally. How much pizza will they each get?? please explain in division expression and fraction work if you want and the sentence PLSPLSPLSPLSPLSPLSPLSPLSPLSPSLSLS

Answers

Answer: They both will get 2 pizzas

Step-by-step explanation: 4 divided by 2

Which expression would you use to determine the missing number in the sequence?
11, ____, 25, 32, 39
A. (11 + 25) - 2
B. (11 + 25) ÷ 2
C. (25 + 32) ÷ 2
D. (32 - 25) ÷ 2

Answers

Solution :-

In this patern you can see that , they are 7 after any number.

Like → 25 + 7 = 32 than 32 + 7 = 39 .

So,

If we add 7 in 11 so it will be 18.

Now we have to find the 18 in the given options after solve them.

So,

A) → (11 + 25 ) -2

Solve :- ( 36 ) -2

:- 34------------- it's not our answer. ____________________

B) → (11 + 25) ÷ 2

Solve :- (36) ÷2

:- 18-------------it's our answer.

____________________

Hence,

Option (B) is correct ☑

PLS HELP ME I WiLL MARK THE BRAINLIEST

Answers

Answer:

look at analysis

Step-by-step explanation:

1. 152

2. 200

3. 10857

4. 123.4

5. 1848

ben exercises every 12 days and isabella every 8 days. both isabella and ben exercised today. how many days till they exercise together again?

Answers

Answer:

24 days

Step-by-step explanation:

lowest common multiple of 12 and 8 is

24

For them to exercise together again, the day must be a common multiplier of 12 and 8

12 = [tex]2^{2} . 3[/tex]
8 = [tex]2^{3}[/tex]

So, their LCM is [tex]2^{3} .3 = 24[/tex]

=> After 24 days, they will exercise together again.

The perimeter of a rhombus is 84 inches. one
diagonal is 12 inches. find the area of the
rhombus. round your answer to the nearest
hundredth if necessary.

Answers

Answer: 241.5 square inches

Step-by-step explanation:

hey hi hello whats up can someone help me with this please??........ thank you! :)​

Answers

Answer:
6.79
Step-by-step explanation:
the 9 in the thousand makes the 8 in the hundredth place go up

Sure!

The hundredths place is the second in a decimal.

with rounding, if the number is greater than or equal to 5, you round up, if not, you round down.

In this case we round up because 9 is bigger than 5.

So, it becomes 6.79

Therefore your answer is B

Kelley has 18 hours of work to do on her science fair project. She has 2 weeks to complete her project. How many hours does she need to work on her project each week to complete it on time?

Answers

Answer:

9

Step-by-step explanation:

Brainly patrol deleted my answer and i have no idea why but-

She has 2 weeks, so 18/2 is 9. 9 hours each week

Riley and her friends buy snacks at the movies. They buy 3 pretzels and 4 drinks for $17.50. The cost of a pretzel is the same as the cost of a drink. The situation can be represented by the graph and the system of equations shown, where p is the cost of a pretzel and dis the cost of a drink. I a. What is the cost of each pretzel? What is the cost of each drink? Show your work.​

Answers

Answer:

Each costs $2.50

Step-by-step explanation:

Given

Cost of 3 pretzels and 4 drinks = $17.50p = d

Solving

3p + 4d = 17.50But, p = d3d + 4d = 17.507d = 17.50d = $2.50p = $2.50

PLEASE SOLVE THIS QUICKLY
Log 50/ Log 6 -3

Answers

Answer:

-0.8

________________________________________________________

Solve

If the value of log 50 rounds to 1.7, find the value of log 6 and -3

[tex]log6 = 0.77815125038[/tex]

Subtract by 3.

[tex]log6 - 3 = 2(estimate)[/tex]

Divide by ㏒ 50

[tex]\frac{log6 - 3 }{50} = -0.8(estimate)[/tex]

________________________________________________________

Questions

Ask in the comments box.

South america and africa are drifting apart at a rate of 3.5 cm each year. how far apart will they be in 5,000,000 years

Answers

Answer:

17,500,000 cm.

Step-by-step explanation:

3.5cm(5,000,000 years) = 17,500,000

dialations he said she said answer key

Answers

Answer: What?

Step-by-step explanation:

41 divided by 4592 ??

Answers

Answer:

0.00892857....

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

The total surface area of a right cylinder which has a base diameter of 10 cm and a height of 7 cm is:
388 square centimeters.
377 square centimeters.
363 square centimeters.
352 square centimeters.
391 square centimeters.

Answers

Answer:

377 square centimeters

Step-by-step explanation:

Formula: h(2×pi×radius) I know there's a second part but I'm doing this first.

First find the radius, in the problem it says a diameter of 10cm

Divide 10 by 2 to find the radius = 5

I'm going to use 3.14 as Pi

7(2×3.14×5)

7(31.4) = 219.8

Next part, solving for the 2 circles

Formula: 2×pi×radius²

2×3.14×5²

solve 5² first (5×5) = 25

2×3.14×25 is 157

add 219.8 and 157 = 376.8 round to 377

Answer: 377 square centimeters

Look at attachment below please help
100 POINTS AND BRAINLYIEST

Answers

Answer:

x = 28 unitsy = 14 units

Step-by-step explanation:

Given is 30 x 60 x 90 right triangle

The side ratios of this triangle is

y : 14√3 : x = 1 : √3 : 2

Find the value of x and y using this ratio

y = 14√3/√3 = 14x = 2y = 2*14 = 28

Let's find

sin60=14√3/x√3/2=14√3/xx=14×2x=28units

And

tan60=14√3/y√3=14√3/yy=14units

i do not know this answer

Answers

The value of the provided function 14g²,  at the point g equal to negative 1 is 14, when this value is put in the function.

How to evaluate the value of a function at a point?

To find the value of a function at a particular point, the value of the point has to be put on the place of a variable in the function and simplify the equation.

To evaluate the value of a function at a particular point, follow the steps given below.

Write down the function.Put the value of point in place of variable. Simplify the equation to find the value.

The function given in the problem is,

[tex]f(g)=14g^2[/tex]

Here, the value of the function has to evaluate at g=-1. Put the value of g in the above function as,

[tex]f(-1)=14(-1)^2\\[/tex]

The square of -1 is 1. Thus,

[tex]f(-1)=14\times1\\f(-1)=14[/tex]

Hence, the value of the provided function 14g²,  at the point g equal to negative 1 is 14, when this value is put in the function.

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7.3 reteaching with practice 415-420

Answers

5. Y,45 is the axial amount of the y axis items 5

Answer number 20. Please answer all parts to the question.

Answers

1: 7
2: Yes, 20 because it’s isolated from the rest of the points
(I don’t know the other ones, sorryyyyy)

Which expression is equivalent to 23−14x+12x−16?

Answers

The Answer is

7 - 2x

Step-by-step explanation:

23 -14x + 12x - 16

(23 - 16) + (-14x + 12x)

= 7 - 2x

hope this help a'lot

The expression equivalent to 23−14x+12x−16 is 7 - 2x

How to find equivalent expressions?

Here we simply take our expression to simplify it.

We start with:

23−14x+12x−16

First, we combine all the terms having x and combine other constant values.

(23 - 16) + (-14x + 12x)

Now we solve the two parts of the above expression we will get,

7 + (- 2x)

Simplifying we get,

7 - 2x

Therefore  the equivalent expression is 7 - 2x

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Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x = 0.8

Step-by-step explanation:

For this problem we will be using trigonometry :

Determine tan(S) and tan(T).

Answers

[tex]\tan S = \dfrac{RT}{RS}= \dfrac{5}{12}\\\\\\\tan T = \dfrac{RS}{RT}= \dfrac{12}5[/tex]

Jake drew the sketch below of a kite that he wants to make.
A kite with height equal to the sum of 10 centimeters and 50 centimeters and the width equal to the sum of 20 centimeters and 20 centimeters.
Part A
Which of the following expressions can be used to find the area of the kite? Select all that apply.
2 (12 × 20 × 50) + 2(12 × 20 × 10)
2 (12 × 20 × 60)
2 (20 × 50) + 2(20 × 10)
12 (20 × 50) + 12(20 × 10)
12(40 × 60)
Part B
What is the area of Jake's kite? Enter your answer in the box.

area =
cm2

Answers

Answer:

Part A: 2 (20 × 50) + 2(20 × 10)

Part B: 1200 cm²

Step-by-step explanation:

Part A:

2 (20 × 50) + 2(20 × 10)

= 2(1000) + 2(200)

= 2000 + 400

= 2400

Part B:

Divide the answer by 2.

= 2400/2

= 1200 cm²

Because the formula to find the area of a kite is

1/2 x (p x q), where p is the sum of a diagonal and d is the sum of a diagonal.

This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red. Section Outcomes Blue 22 Yellow 32 Red 46 Based on the outcomes, enter the estimated probability of the spinner landing on blue.

Answers

Based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.

What do you mean by probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red.

Section      Outcomes Blue                22 Yellow            32 Red                 46 Total               100

The total number of outcome is 100. The total number of favorable outcome to land blue is 22.

Thus, the estimated probability of the spinner landing on blue has to be found out is,

[tex]P=\dfrac{22}{100}\\P=0.22\\P=22\%[/tex]

Hence, based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.

Learn more about the probability here;

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Translating a phrase into a two-step expression
Translate this phrase into an algebraic expression.
Two more than the product of 17 and a number

Answers

Answer:

(17xa)+2

Step-by-step explanation:

Writing Algebraic Expressions the product of 3 and X

Answers

Step-by-step explanation:

[tex]3 \times x[/tex]

[tex]3x[/tex]

(27-241)¹⁵

please someone answer this asap!!1

Answers

Answer:

Phhshh- Ez
It's: -90407945526160061369845453076660224 or for factor: (In image below

Step-by-step explanation:

(27−241)

15

Subtract 241 from 27 to get −214.

(−214)

15

Calculate −214 to the power of 15 and get −90407945526160061369845453076660224.

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