The function f(t)=5600(1.006)^{10t}f(t)=5600(1.006) 10t represents the change in a quantity over decades. What does the constant 1.006 reveal about the rate of change of the quantity?

Answers

Answer 1

Answer:

If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.

Step-by-step explanation:

Mathematically speaking, the function represents an exponential equation, whose form is:

[tex]f(t) = a_{o}\cdot r^{k\cdot t}[/tex] (1)

Where:

[tex]t[/tex] - Independent variable.

[tex]r(t)[/tex] - Dependent variable.

[tex]a_{o}[/tex] - Initial value.

[tex]k[/tex] - Convergence ratio.

[tex]r[/tex] - Increase rate.

If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.


Related Questions

f
is inversely proportional to

g
.
When
f
=
12
,
g
=
64

Work out
f
when
g
=
16

Answers

The value of 'f' when 'g' is 16 is 24.

How to calculate the value

If 'f' is inversely proportional to square root of 'g', it can be expressed thus;

f [tex]\alpha[/tex] [tex]\frac{1}{\sqrt{g} }[/tex]

Then

f * [tex]\sqrt{g}[/tex] = constant

f₁*[tex]\sqrt{g}[/tex] ₁ = f₂ * [tex]\sqrt{g}[/tex]₂

If f₁ = 12 , [tex]\sqrt{g}[/tex]₁ = [tex]\sqrt{64}[/tex] = 8,

f₂  = ?, [tex]\sqrt{g}[/tex]₂= [tex]\sqrt{16}[/tex] = 4

Substitute into formula

12 * 8 = f₂ * 4

Make 'f₂' subject

f₂ = 96 ÷ 4

f₂ = 24

Therefore, the value of 'f' when 'g' is 16 is 24.

Learn more about indirect variations:

https://brainly.com/question/6499629

#SPJ1

A trapezoid has 21 inches base and 5.3 inches base, as well as 39 inches height. What is the area?

Answers

Answer:

It is 512.85

Step-by-step explanation:

A = [tex]\frac{a+b}{2}[/tex]h = [tex]\frac{21 + 5.3}{2}[/tex].39 = 512.85

It is 512.85

21*5.3*39=512.85

is 2y=10 a function?

Answers

Answer:

2y = 10 is an equation

An equation is a statement that shows that the values of two mathematical expressions are equal (indicated by the sign =)

PLEASE HELP ME!

EXPLANATION = BRAINLIEST

the area is ___ square units

Answers

Answer:

50 units²

Step-by-step explanation:

Solve for both long sides:

6² + 8² = x²

36 + 64 = x²

100 = x²

x = 10

Solve for both short sides:

3² + 4² = x²

9 + 16 = x²

25 = x²

x = 5

Area:

5 x 10 = 50

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

[tex]2x^2+8x-7=-2[/tex]


Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer

Answers

Answer:

x = -2 ±√(13/2)

Step-by-step explanation:

Need help ASAP DUE AOLN AND PLEASE SHOW WORK ?!!!

Answers

Answer: 35.98in

Step-by-step explanation:

Use the formula: h=3 v/pi(r^2)

Answer:

V = 36.0 in

Step-by-step explanation:

V of cylinder = (1/3)πr^2(h)

V of cylinder = 3052 cubic inches

r = 9 in

3052 = (1/3)π(9)^2(h)

3052 = (1/3)π(81)h

3052 = 84.82300165h

divide both sides by coefficient of h

h = 36.0 in (rounded to nearest tenth)

Quadrilateral ABCD is inscribed in a circle. Angle B measures 19°. What is the measure of angle D?

Answers

Answer:

[tex]D = 161^o[/tex]

Step-by-step explanation:

Given

[tex]\angle B = 19^o[/tex]

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

[tex]B + D = 180^o[/tex] ---- opposite [tex]sides[/tex] of a [tex]cyclic \\[/tex] quadrilateral

Make D the subject

[tex]D = 180^o -B[/tex]

[tex]D = 180^o -19^o[/tex]

[tex]D = 161^o[/tex]

PLEASE PLEASE HELP ME WITH THIS PLEASE!!! ITS IXL

ANSWER EXPLANATION = BRAINLIEST

You can transform ⨀N to ⨀N' by translating it and then performing a dilation centered at N'. Find the translation rule and the scale factor of the dilation

Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Translation: (x,y)↦ (____, ____)

Scale factor: _____?

THANK YOU!

Answers

Answer:

ok who ever ur teacher is is kinda a mean teacher because they givin u like 98th grade questions bro i dont even know this and im in college

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

The point N is at (-7, -8)

The point N’ is at (4, -4)

On the x-axis, -7 to 4 is a shift of 11 units to the right.

On the y-axis, -8 to -4 is a shift of 4 units upward.

To find the scale factor, we need to find the change in radius size.

As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.

As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.

6 is 3 times the amount of 2, meaning the scale factor is 3.

Hope this helps!


35 points!!! Which is the general form of the equation of the circle shown?
Options shown on image.

Answers

The answer is B/the second one.

A member has a monthly membership for $480 per month. They also have a 25% discount on top of the monthly price and have paid for 1 month of service to date. In an attempt to retain the member, you offer a 40% discount instead. With the new discount and since the member already paid for a month of service, you will need to provide a refund for the difference. How much would you refund for the month already paid?

Answers

Answer:

$72

Step-by-step explanation:

For the first month, they got a 25% discount, aka $120 off. Now that it's changed to 40%, you need to find how much 40% of $480 is.

480 x .4 = 192

40% of $480 is $192. The next step is to find the difference between $192 and $120.

192 - 120 = 72

Therefore, you need to give them of refund of $72.

Please help me with this asap if you can.

Answers

Answer:

The first box plot is for group 2

The second box plot is for group 1

The third box plot is for group 3

Select all of the true statements.

A.
1
3

foot
>
5

inches
B.
4

miles
>
7
,
000

yards
C.
2
1
4

miles
<
10
,
000

feet
D.
5
3
4

yards
=
196

inches
E.
8

yards
=
24

feet

Answers

Answer:

miles

<

10

,

000

feet

D.

5

3

4

yards

=

196

inches

E.

8

yards

=

24

feet

Marte posted a story on her blog on the stay there were 80 responses and on the second day there were 180
responses what percent is the increase 100 of the original number of responses 802

Answers

Answer:

D. 125%

Step-by-step explanation:

First day = 80 responses

Second day = 180 responses

Increase in responses = 180 - 80

= 100 responses

what percent is the increase 100 of the original number of responses 80

= Increase in responses / original number of responses × 100

= 100/80 × 100

= 1.25 × 100

= 125%

The percent increase 100 of the original number of responses 80 = 125%

The table below shows the typical hours worked by employees at a company. A salaried employee makes $50,000 per year. Hourly employees get paid $20 per hour, but get $30 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
8
8
9
9.5
7.5
4

Answers

b) Hourly pay. Hourly employees make more per week than salaried employees

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour. the rates that Latoya charges for x hours of tutoring are modeled with with the function shown.
Choose.. will charge (5,10,15,20) more to tutor for 5.5 hours

Answers

Answer:

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

[tex]0 \leqslant x \leqslant 3[/tex]

20x,

[tex]3 < x \leqslant 6[/tex]

10x,

[tex]x > 6[/tex]

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.


If a = 3 inches and c= 5 inches, what is the measure of b?
2 inches
3 inches
4 inches
8 inches

Answers

B is 4 inches i think

hope that helps


What is the median of the data represented in the line plot?

Answers

Answer:

The answer is Choice D

Step-by-step explanation

The median is the middle value in the given set of data.

If the data is even, then there will be two middle numbers, then the median is the average of these two middle numbers.

Thus, from the data, it is obvious that the number of data in the given set is 13.

Hence, the middle number is 23.

Therefore, the median of the data is 23.

In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12

Answers

Answer:

there are 4 groups of 3

Step-by-step explanation:

12 ÷ 3 = 4

answer : 4

Step-by-step explanation:

12 = 3 + 3 + 3 + 3 there are 4 groups of 3

which function is graphed?

Answers

Step-by-step explanation:

hello it's B)

v ::::: ok

.

.

.

.

.v:

It’s B :) Good luck!

Which of the following is an arithmetic sequence?
O A. 5, -5, 5, -5, ...
O B. 3, 0, -3, -6, ...
O C. 2, 3, 7, 1, ..
O D. 2, 4, 16, 32, ...

Answers

Answer:

B

Step-by-step explanation:

In an artihmetic sequence, there is a constant difference between two consecutive terms.

So for instance:

[tex]-6 -(-3) = -3[/tex]

[tex]-3 -0 = -3[/tex]

[tex]0 - 3 = -3[/tex]

As you can see there is a difference of [tex]-3[/tex] from one term to the next

____________________________

You can also find the constant difference the other way around, for instance

[tex]3-0=3[/tex]

[tex]0-(-3) = 3[/tex]

[tex]-3-(-6) = 3[/tex]

In this example, you can see that each term is [tex]3[/tex] higher than the previous term

I hope this helps!!

Which represents the table ?

Answers

Answer:

b

Step-by-step explanation:

dfghdfhjdfjdfj

A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter

Answers

ANSWER: A) 7 meters by 4 meters
EXPLANATION:
We know that the area of the rectangular balcony is 28 square meters, so lets check if our dimensions match the area:

7 meters • 4 meters = 28 square meters (correct)

So lets check the perimeter: 2 (l + w)
2 ( 7 + 4 ) = 22 meters

HOPE THIS HELPS
-SpaceMarsh

please help step by step how do I solve this​

Answers

Answer:

my suggested answer (576)

Step-by-step explanation:

i chose the wrong answer :(

Let △ABC be a right triangle with m∠C = 90°. Given tan ∠A = 0.25, find tan ∠B.

Answers

Answer:  4

==========================================================

Rule:

If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )

-------

Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.

So,

tan(B) = 1/( tan(A) )

tan(B) = 1/( 0.25 )

tan(B) = 4

-------

Here's another way to think about it.

If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25

When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,

tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.

For any of these cases, we don't involve the hypotenuse AB.

Hunter is 9 years older than 3 times the age of his nephew.
Hunter is 33 years old. How old is his nephew?

Answers

Answer:

Hunter's nephew is 8 years old.

Step-by-step explanation:

We could set up an expression to represent the situation, then solve for the nephew's age. The age of the nephew should be represented by X.

3x + 9 = 33

To get 3x by itself, subtract 9 from both sides.

3x + 9 - 9 = 33 - 9

3x = 24

To get X alone, divide by 3 on both sides.

24 divided by 3 is 8. Hunter's nephew is 8 years old.

Please I need help with this math homework ASAP thank you!

Answers

Answer:

4

[tex] \sqrt{4} = 2 \\ \\ \sqrt{2} \times \sqrt{8 } = \sqrt{16} \\ \\ \sqrt{16} = 4[/tex]

Identify each situation as a permutation or a combination.

1. choosing friends to invite to a party

2. choosing your top 10 favorite actors

Answers

Answer:

1. Combination

2. Permutation

Step-by-step explanation:

Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).

1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).

2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.

-42+(-17) simplified

Answers

Answer:

La respuesta es

Step-by-step explanation:

-42+(-17)=. - 59

Espero ayudarte suerte

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-59  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Expression}}\\\\-42+(-17)\\------------\\\rightarrow -42 +1(-17)\\\\\rightarrow -42 -17\\\\\rightarrow\boxed{-59}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What is the degree of the following polynomial? 11x ^ 5 * y - 7x ^ 4 * y - 2y

Answers

the degree of the following polynomial : (6)

The correct answer to your question is the degree is (6)

Your throw your ball into a air from height of 4.2

Answers

Answer:

Done

Step-by-step explanation:

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