The function f(t)=6500(1.85)^{365t}f(t)=6500(1.85)
365t represents the change in a quantity over t years. What does the constant 1.85 reveal about the rate of change of the quantity?

Answers

Answer 1

Answer:

The function is *growing* exponentially at a rate of *0.85%* every *year*

Step-by-step explanation:


Related Questions

What is the perimeter, in units of a polygon with vertices located at (-7, -3), (-7, 4) , (6, -3), and (6, 4)?

Answers

Answer:

40 units

Step-by-step explanation:

-7 to 6 is 13 units and -3 to 4 is 7 units, it asks for perimeter so 13 x 2 + 7 × 2

A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for π and round to the nearest hundredth.​

Answers

Answer:

2.26 feet

Step-by-step explanation:

400/25=16

16/3.14=5.0955

5.0955^2=2.257

Use the frequency table to determine how many students received a score of 70 or better on an English exam.

Answers

Can you show the what it looks like then I’ll help!

I need HELP asp please!!!!!!!

Answers

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

we've been given a rectangular prism and the question asks us to calculate its volume.

well that's kinda easy , so let's go ahead ~

height of prism = 2 inches

breadth of prism = 10 inches

length of prism = 13 inches

Now ,

[tex]Volume \: of \: prism = l \times b \times h \\ \implies \: 13 \times 10 \times 2 \\ \implies \: 260 \: inches {}^{3} [/tex]

therefore , the first option ( C ) is correct.

hope helpful :D

Answer:

Option C, [tex]260\ in^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of the prism

[tex]V = l * w * h[/tex]

[tex]V = 13\ in * 10\ in * 2\ in[/tex]

[tex]V = 260\ in^3[/tex]

Answer: Option C, [tex]260\ in^3[/tex]

If you are given the graph of h(x) = log6x, how could you graph m(x) = log6(X+3)?
O Translate each point of the graph of h(x) 3 units up.
O Translate each point of the graph of h(x) 3 units down.
O Translate each point of the graph of h(x) 3 units right.
O Translate each point of the graph of h(x) 3 units left.

Answers

Answer:

Translate each point of the graph of h(x) 3 units left.

Step-by-step explanation:

Translate each point of the graph of h(x) 3 units left.

you can use DESMOS

Answer:

  (d) translate 3 units left

Step-by-step explanation:

The translation transformation m(x) = h(x -a) +b will translate the function h(x) right by 'a' units and up by 'b' units.

Here, you have a = -3 and b = 0. The graph of the function will be translated left 3 units.



A satellite is orbiting Earth at an orbital radius of 7. 3 x 10^4m. What is its velocity in terms of G and the mass of Earth,mp?

Answers

The velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.

The velocity of a satellite in orbit around Earth can be found using the formula:

v = √(G * mp / r)

where G is the gravitational constant [tex](6.67 \times 10^{-11} Nm^2/kg^2)[/tex], mp is the mass of Earth ([tex]5.97 \times 10^{24}[/tex] kg), and r is the orbital radius of the satellite ([tex]7.3 \times 10^4[/tex] m).

Substituting the given values into the formula, we get:

[tex]v = \sqrt{(6.67 * 10^{-11} * 5.97 *10^{24} /(7.3*10^4)}[/tex]

v ≈ 73.8856 x 10³ m/s

Therefore, the velocity of the satellite in orbit around Earth is approximately 73.8856 x 10³m/s.

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nine less than one forth of a number is 6

Answers

Answer:

[tex]x = 60[/tex]

Step-by-step explanation:

Step 1:  Convert into an equation

Nine less than one forth of a number is 6

[tex]1/4x - 9 = 6[/tex]

Step 2:  Add 9 to both sides

[tex]1/4x - 9 = 6[/tex]

[tex]1/4x - 9 + 9= 6+ 9[/tex]

[tex]1/4x = 15[/tex]

Step 3:  Multiply both sides by 4

[tex]1/4x * 4 = 15 * 4[/tex]

[tex]x = 60[/tex]

Answer:  [tex]x = 60[/tex]

The sum of two polynomials is –yz2 – 3z2 – 4y 4. if one of the polynomials is y – 4yz2 – 3, what is the other polynomial? –2yz2 – 4y 7 –2yz2 – 3y 1 –5yz2 3z2 – 3y 1 3yz2 – 3z2 – 5y 7

Answers

Polynomial are expression that have a leading degree of 3. The other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

Difference of polynomials

Polynomial are expression that have a leading degree of 3. Given the following expression

Sum = –yz^2 – 3z^2 – 4y^4.

One of the polynomial = y – 4yz^2 – 3

Required

The other polynomial

Let the unknown polynomial be "a" such that:

a =  –yz^2 – 3z^2 – 4y^4 - (y – 4yz^2 – 3)

Expand

a =  –yz^2 – 3z^2 – 4y^4 - y + 4yz^2 + 3

a = 3yz^2 – 3z^2 – 4y^4 - y + 3

Hence the other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

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Answer: D. or 3yz^2-3z^2-5y+7

Step-by-step explanation: got it right on edge

Doing some review on PEMDAS. I just need help to know if I am on the right track with this problem.

Answers

Yes! You’re on the right track! You followed it perfectly!
Parentheses
Exponent
Multiplication
Division
Addition
Subtraction

Well done!

Answer:

The order in which you evaluated the expression was a bit incorrect but the outcome either way was 78. In some cases if you evaluate the expression incorrectly or not in order will result in you getting the wrong answer. If you want to see how to evaluate it correctly just look below.

Step-by-step explanation:

PEMDAS stands for

Parenthesis

Exponents

Multiplication and Division ( left to right )

Addition and Subtraction ( left to right )

And it basically tells us the order in which you are suppose to evaluate a mathematical expression.

It appears the expression you are given is 4² + ( 1 × 5 + 7² ) + 8

First we would do the operation inside of the parenthesis

so we have ( 1 × 5 + 7² )

Exponents come before multiplying and addition so first evaluate the exponent, 7² = 49

we now have ( 1 × 5 + 49 )

we next do the multiplication

( 5 + 49 )

Finally we do the addition

5 + 49 = 54.

We then replace the expression ( 1 × 5 + 7² )  with 54 as we just evaluated everything in the parenthesis

we get 4² + 54 + 8

So we just did the parenthesis and next is exponents so lets evaluate the exponents, 4² = 16

16 + 54 + 8

Next in PEMDAS is multiplication and division. There is none so we go to the next step.

We now do the addition and subtraction. ( going left to right )

16 + 54 + 8

first add 16 and 54

70 + 8

finally add 70 and 8

= 78

Notes:

For parenthesis you evaluate everything inside of the parenthesis before you remove the parenthesis

For multiplcation and division, you must evaluate in order going left to right, not doing so can result in a wrong answer.

Lucy’s age, x, 12 years from now, how old will Lucy be?

Answers

Answer:

x+12

Step-by-step explanation:

bc her age in twelve years is her age plus 12

X+12

Lucy is certain age,x, 12 years later she will be 12 years + however old she was initially.

Select the correct answer from the drop-down menu. the sound level, , in decibels (db), of a sound with an intensity of i is calculated in relation to the threshold of human hearing, , by this equation. the threshold of human hearing is . the sound level of a jet plane is approximately 140 db. the intensity of the sound of a jet plane is approximately .

Answers

If the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB

Functions and values

The sound level of a jet plane is expressed according tothe expression given as:
β = 10log(I/I0)

Given the folowing parameters

β = 140dB

I0 = 10^-12 W/m²

Required

Intensity "I"

Substitute

140 =10log(I/10^-12)

14 = log(I/10^-12)

10^14 = I/10^-12
I = 10^14 * 10^-12

I = 10^2

I = 100dB

Hence if  the sound level of a jet plane is approximately 140 db, the intensity of the sound of a jet plane is approximate 100dB

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Answer:

100

Step-by-step explanation:

Bill ran 10 laps around the high school track in 12 minutes how many laps can be run in 45 minutes

Answers

Answer:

  37.5 laps

Step-by-step explanation:

If we assume that Bill can run at the same speed for 45 minutes, the number of laps will be proportional to the time.

  laps/time = 10 laps/(12 minutes) = n laps/(45 minutes)

  n laps = (10 laps)(45/12) = 37.5 laps . . . . . multiply by 45 minutes

Bill can run 37.5 laps in 45 minutes.

hi , anyone can help?​

Answers

Step-by-step explanation:

AS = Asri's height

AD = Adib's height

IR = Irfan's height

AS = 2x

AD = AS - 6 = 2x - 6

IR = 2 × AS = 2 × 2x = 4x

i)

IR = 4x

ii)

IR - AS = 4x - 2x = 2x


What is the value of x?

Answers

Answer: 7

Step-by-step explanation:

Find the measures of the interior angles.




angle A:
°
angle B:
°
angle C:
°

Answers

Answer: search it up online

Step-by-step explanation: click new tab type it in and press search

negative 4 minus 6 is less than 50

Answers

Yes -4-6=-10
Negative numbers are behind 0 on a number line

Answer:

your question is not quite clear.

are you trying to ask ask this " Are negative 4 minus 6 less than 50 ?

if so then it can also be translated mathematically as " - 4 - 6 = 50

then the answer is YES.

Step-by-step explanation:

because - 4 - 6 is -10

- 10 is less than 50

Because in the number line

e.g -10, -9, -8 , -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and so on...

you can see that -10 is way lesser than 50.

but if this isn't the answer you're looking for, I think you should please make the question clearer, thanks.

Hope this helps .

In the equation g + h = -5 if g = 11 find the value of h.

Answers

The value for h is h = -16

Jericho runs to get his ball. If he runs a distance of 8. 42 meters with a speed
of 2. 105 meter per second, how many seconds did he run?

Answers

Answer:

  4 seconds

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

__

The given measures indicate a time of ...

  time = (8.42 m)/(2.105 m/s) = 4.00 s

Jericho ran for 4 seconds.

What is the equation of the line that passes through the point (-4,2) and has a slope of -1?

Answers

y - 2 = -1(x + 4) which can be simplified to y = -x -2

PLEASE HELP QUICK AHHHH <333

Answers

Answer:

=> ( -6,-10 )

Step-by-step explanation:

Given :

x = -6

-7x + 6y = -18 ... i)

Putting the value of x in equation ...i)

=> -7 (-6) + 6y = -18

=> 42 + 6y = -18

=> 6y = -18 -42

=> 6y = - 60

=> y = -60/6

=> y = -10

The value of y = -10 and x = -6

Answer:

x= 4, y=6

Step-by-step explanation:

9x-9y = -18

9x=-18+9y

x=-2+y

-6(-2+y) + 9y = 6

-12-6y+9y=6

3y=18

y=6

9x -9(6)=-18

9x-54=-16

9x=36

x=4

What is the perimeter of the figure?

Answers

Answer:

the perimeter is the distance around a surface. so it's 4+4+8+5+1 = 22 m = C

Answer:

Option C, 22m

Step-by-step explanation:

Step 1:  Determine the perimeter

Finding the perimeter means that we need to add up all of the sides into one number which will give us the total length of the entire item.

4m + 4m + 8m + 5m + 1m

22m

Answer: Option C, 22m

At 6 o'clock in the morning the
temperature
was -5°C. By 4 o'clock in
the afternoon, the temperature was
16°C.
1. What was the change in
temperature?

Answers

Answer:

21 degrees

Step-by-step explanation:

Answer:

21°C

Step-by-step explanation:

If the temperature was -5° in the morning and 16° in the morning, then that means there was an increase in temperature. To find the exact change in temperature, we need to find what plus -5 would be equal to 16.

-5 + x = 16

-5+5 + x = 16+5

x = 21

From this, we can see that the change in temperature was 21°C.

hope this helps!

x+7y=17 is my question.

Answers

Answer:

-1/7

Step-by-step explanation:

hope it helps:

Solve for x. Please Help!

Answers

Answer:

x = 6

Step-by-step explanation:

If 2 chords intersect then the product of the parts of one chord is equal to the product of the parts of the other chord , that is

4x = 2 × 12 = 24 ( divide both sides by 4 )

x = 6

What is the formula for finding the slope of a line? Circle your choice.

Answers

Answer:

B

Step-by-step explanation:

to find the slope of a line you use slope intercept form

Option (b) is correct. The formula m = (y₂ - y₁)/(x₂ - x₁) is used to find the slope of the line.

What is slope of the line?

In Mathematics, "a slope of a line is the change in y coordinate with respect to the change in x coordinate".

According to the question,

Equation of the line using slope intercept form is y = mx + c where 'x, y' are variable and 'm' is the slope of the line and 'c' is constant.

To find the slope of the line m = (y₂ - y₁)/(x₂ - x₁).

Hence, the option (B) m = (y₂ - y₁)/(x₂ - x₁) is correct.

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Let ​ x² + 15x = 49 .​ What values make an equivalent number sentence after completing the square? Enter your answers in the boxes.

x² + 15x + ​= ​ [ ]

Answers

Answer:

Step-by-step explanation:

15/2 = 7.5 and (7.5)^2 = 56.25  so

x^2 + 15x + 56.25 = 49 + 56.25

x^2 + 15x + 56.25 = 105.25.

Answer:

[tex]x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

[tex]x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

Step-by-step explanation:

General form of a quadratic equation: [tex]ax^2+bx+c[/tex]

When completing the square, first add the number that is the square of half of [tex]b[/tex].

Given equation:  [tex]x^2+15x=49[/tex]

Therefore, [tex]b=15[/tex]

[tex]\implies \left(\dfrac{b}{2}\right)^2=\left(\dfrac{15}{2}\right)^2=\dfrac{225}{4}[/tex]

So we need to add 225/4 to both sides of the equation:

[tex]\implies x^2+15x+\dfrac{225}{4}=49+\dfrac{225}{4}[/tex]

[tex]\implies x^2+15x+\boxed{\dfrac{225}{4}}=\boxed{\dfrac{421}{4}}[/tex]

In decimal form:

[tex]\implies x^2+15x+\boxed{56.25}=\boxed{105.25}[/tex]

To finish completing the square,

factor the left side of the equation:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2=\dfrac{421}{4}[/tex]

Finally, subtract 421/4 from both sides:

[tex]\implies \left(x+\dfrac{15}{2}\right)^2-\dfrac{421}{4}=0[/tex]

In decimal form:

[tex]\implies (x+7.5)^2-105.25=0[/tex]

Find the mean absolute deviation for the data set 5,6,6,8,10

Answers

Answer:

7

Step-by-step explanation:

I will give brainliest if I get it right Lauren has 7 trophies and she wants to place 4 of the trophies on a shelf. How many possible arrangements of
the 4 trophies are there?

Answers

Using the permutation formula, it is found that there are 840 possible arrangements of the 4 trophies.

The problem says the word "arrangements", which implies that the order matters, hence the permutation formula is used to solve this question.

What is the permutation formula?

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 elements from a set of 7 are arranged, hence:

[tex]P_{7,4} = \frac{7!}{3!} = 840[/tex]

There are 840 possible arrangements of the 4 trophies.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Task 3: Complete the table.

Answers

Answer:

Consumtion:
  September:7535
  October:16556
  November:9616
  December:13615
Tama po yan
Pa branlies naman po
HOPE IT HELPS ALOT

Annual snowfall (in inches):

20, 16, 20, 17.5, 19.5, 18, 23

Mean =

Median =

What is the mean and the median?

Answers

Answer:

Mean (Average) 19.142857142857

Median 19.5

Step-by-step explanation:

please give brainliest or at least 5 stars

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