I(t) = 27, 992 * (1.017) ^ t covert to log

I(t) = 27, 992 * (1.017) ^ T Covert To Log

Answers

Answer 1

Answer:

By 2034 Texas per capita income would reach at least $50,000

Step-by-step explanation:

Given;

[tex]I(t) = 27,992(1.017)^t[/tex]

Converting the given function to log;

[tex]I(t) = 27,992(1.017)^t \\\\\frac{I(t)}{27,992} = (1.017)^t\\\\Log_{1.017} ( \frac{I(t)}{27,992} )= t \\\\(Based \ on \ log \ rule; if \ a = b^y , in \ log \ it \ will \ be \ written \ as, Log_b \ a = y)[/tex]

(B) When I(t) = $50,000, the time "t" will become;

[tex]Log_{1.017} ( \frac{I(t)}{27,992} )= t\\\\Log_{1.017} ( \frac{50,000}{27,992} ) = t\\\\Log_{1.017} (1.7862) = t\\\\34.4 \ years = t[/tex]

Thus, by 2034 Texas per capita income would reach at least $50,000


Related Questions

Find(x^3+8x^2-25x-193) divide (x-5) by using synthetic division.

Answers

Answer:

x^2+13x+40 remainder 7. (or 7/(1-5))

Step-by-step explanation:

Answer:

x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]

Step-by-step explanation:

Using Synthetic division

dividing by ( x - 5) , thus use h = 5

5 |   1    8    - 25    - 193

       ↓    5      65      200

             +       +        +

    ---------------------------------

      1     13      40       7 ← remainder  

quotient = x² + 13x + 40

Thus

[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]

A woman is 5ft tall and her shadow is 4ft king. A nearby tree has a shadow of 30 ft long. How tall is the tree

Answers

Answer:

37 feet and 5 inches

Step-by-step explanation:

Answer:  40 ft tall

Step-by-step explanation:

you would mutiply it

Sunny's Surf Shop sold 160 surfboards this week, which was 320 percent of the number of surfboards sold last week. How many surfboards did Sunny's Surf Shop sell last week? O 16 O 50 O 160 512​

Answers

Let, the number of Surfboards sold last week = x

Then, x * 320% = 160

x * 3.20 = 160

x = 160/3.20

x = 50

In short, Your Answer would be Option B

Hope this helps!

(no need to give brainliest) :)

Answer:

The answer would be B, 50.

20 POINTS!!!What is the solution to the system that is created by the equation Y = 2x+ 10 and the graph shown below?
(-8,-6)
(-4,-2)
(0,2)
(2,4)

Answers

Answer:

(-8,-6)

Step-by-step explanation:

Answer:

So... the factored answer is -5(7+x) Simplified it is -35-5x

Step-by-step explanation:

Calculate the sum then factor! Hope this helps :D

Evaluate: 4
4.[22 -(1 +0.5)

Answers

Answer:

82

Step-by-step explanation:

Answer:

20.5

Step-by-step explanation:

glad i could help!

Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.

Answers

Answer:

callum bought 78.6 stamps

A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours. Someone pls help im sooo behind in maths and im really confused

Answers

Answer:

...520 miles

Step-by-step explanation:

if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)

1/3x + 2y =4 x + y =-3

Answers

Answer:

x = -9/23 or y = -33/23 = -1 10/23

Step-by-step explanation:

Please mark brainliest.

Answer:

x= -9/23

y= -3/33

Step-by-step explanation:

Hi. Please i need help with these . No jokes .

Question b : Find ;
the values of
1.alpha³+beta³ and 1/(alpha³) +1/(beta³)
2. the the equation whose roots are alpha³ and beta ³​

Answers

9514 1404 393

Answer:

  (a) 2, 6

  (b) 155/8, -155, 8x² -155x -1 = 0

Step-by-step explanation:

(a) The equation in standard form is ...

  x^2 -(4+k)x +4k +1 = 0

Then the discriminant is ...

  (4+k)^2 -4(1)(4k+1) = 4^2 +8k +k^2 -16k -4 = k^2 -8k +12 = (k -2)(k -6)

The roots are equal when the discriminant is zero. The values of k that make the discriminant be zero are k=2 and k=6.

__

(b) a^3 + b^3 = (a +b)(a^2 -ab +b^2) = (a+b)((a+b)^2 -3ab)

  = (5/2)((5/2)^2 -3(-1/2)) = (5/2)(25/4 +3/2) = 155/8 = α³ +β³

  1/a^3 +1/b^3 = (a^3 +b^3)/(ab)^3 = (155/8)/(-1/2)^3 = -155 = 1/α³ +1/β³

The desired equation can be written from ...

  (x -a^3)(x -b^3) = 0

  x^2 -(a^3 +b^3)x +(ab)^3 = 0

  x^2 -155/8x -1/8 = 0 . . . . .substituting known values

  8x^2 -155x -1 = 0

A detergent company is trying to find a new stain remover ingredient to put in its detergent. Company managers know that baking soda or bleach will be used. The also know that water temperature, cold and warm, affects the stain removal process. An experiment will compare all combinations of these choices. Four types of stains on the same fabric will be subjected to each treatment and scored for stain removal quality. What is the experimental unit?

A: the fabric
B: the baking soda and bleach
C: the temperature of the water
D: the detergent
E: The Stains​

Answers

Answer:

C.

Step-by-step explanation:

because they can pick bleach or bakeing soda the stans are going to come off either way but either\or hot and cold water affects it so they have to find out which of the water affects it not which of the prodocts does

If u want help on that watch Bill Nye the science guy. He does the best science experiments

Choose ASA, SAA, or neither
to describe this figure.
A
B
ASA
SAA
neither

Answers

Answer:

SAA

Step-by-step explanation:

there is a side, and vertical angles equal eachother so it would be SAA

Which mixture would taste different? Mixture 1: 1 cup water, 1.5 teaspoons drink mix Mixture 2: 2 cups water, 1/2 teaspoon drink mix Mixture 3: 1 cups water, 1/4 teaspoon drink mix Mixture 1 Mixture 2 Mixture 3

Answers

Answer:

Drink 1 will taste different.

Step-by-step explanation:

Given the mixtures:

Mixture 1: 1 cup water and 1.5 teaspoons drink mix

Mixture 2: 2 cups water and [tex]\frac{1}{2}[/tex] teaspoons drink mix

Mixture 3: 1 cup water and [tex]\frac{1}{4}[/tex] teaspoons drink mix

To find:

Which of the mixtures will taste different?

Solution:

To answer this, we need to find the ratio of all the mixtures.

First of all, Let us make ratio of water as 1 quantity.

Ratio of 1st mixture = 1 : [tex]\frac{3}{2}[/tex]

Ratio of Mixture 2 contains 2 cups of water.

Let us divide the ratio of mixture 2 with 2, we get:

[tex]\frac{2}{2}:\dfrac{\frac{1}{2}}{2}\\\Rightarrow 1:\dfrac{1}{4}[/tex]

Ratio of 3rd mixture = [tex]1:\frac{1}{4}[/tex]

Ratio of drink mix of 1st mixture with 1 cup water is different.

So, drink 1 will taste different.

veronica has 5 more than double the number of stuffed animals than her friend mariposa. together they have 32 stuffed animals

Answers

Answer:

Subtract 32 - 5 that would give you your answer

Step-by-step explanation:

32-5=27
27 would be your answer

Which expression is equivalent to 4(7c+3)+5?




11c+7+5


28c+7+5


28c+12+5


28c+12+20

Answers

Answer:

28c+12+5

Step-by-step explanation:

taking 4 common in 28c-12 then,

28c+12+5=4(7c+3)+5

Answer:

28c+12+5

Step-by-step explanation:

4(7c+3)+5

i) distribute 4 into the parentheses

(4×7c)+(4×3)+5

= 28c+12+5

Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?

Answers

Answer:

460

Step-by-step explanation:

-2=3+v
Help please ty very much

Answers

Answer:

v = -5

Step-by-step explanation:

to get v by itself, you must subtract 3 from both sides, not only to cancel out the positive 3 but to keep both sides equal. this leads to -5 = v so that's your answer.

Answer:

Your answer is: [tex]V= -5[/tex]

Solve for  v  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Which of the following inequalities orders the numbers
0.2, 0.03, and 1/4 from least to greatest?

Answers

Answer:

0.03, 0.2, 1/4

Explanation:

The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.

What is ascending order?

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The numbers are given below.

0.2, 0.03, and 1/4

Convert all the numbers into fraction numbers.

0.2, 0.03, and 0.25

Then the inequalities orders the numbers from least to greatest numbers will be

0.03 < 0.2 < 0.25

The inequalities orders the numbers from least to greatest numbers will be 0.03 < 0.2 < 0.25.

More about the ascending order link is given below.

https://brainly.com/question/320500

#SPJ6

(567)3-a=(678)
What does a equal

Answers

Answer:

[tex]a=1023[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\(567)3-a=678\\Hence,\\1701-a=678\\1701-678=a\\1023=a\\a=1023[/tex]

What is the solution to the equation 4x + 8= -2 - 2 + 5x
Have?
Two
One
None
Invinitely many

Answers

Answer:

one solution

Step-by-step explanation:

4x + 8 = -2 -2 + 5x

4x + 8 = -4 + 5x

4x - 4x + 8 = -4 + 5x - 4x

8 = -4 + 5x - 4x

8 = -4 + x

8 + 4 = -4 + 4 + x

12 = x

Hi! whats 6666666 × 727272772​

Answers

Answer: 4.8484847e+15

Step-by-step explanation:

Answer:

6666666 × 727272772​ = 4,848,484,661,818,152

^^^ this too please

Answers

I believe the measurement of CD is 90 degrees

On a coordinate plane, a graph of a floor function has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (5, 5) to (6, 5).
Use the graph of the floor function to complete the statements.



Over the interval
, y = 2.

For an input value of –1.5, the corresponding output value is

Answers

Answer: Over the interval x =  2≤ x <3, y = 2.  

For an input value of –1.5, the corresponding output value is -2

Step-by-step explanation: Easier to find the information of you make a sketch of the graph described. (Good description!)

To find the value, look at the graphed segments that correspond to the given values.

X represents input values, Y represents output values.

Answer:

Over the interval  

✔ [2, 3)

, y = 2.

For an input value of –1.5, the corresponding output value is  

✔ –2

.

Step-by-step explanation:

edge2020

What is the answer for (2b + 8)5 ?

Answers

Answer:

Expanded, the answer would be 10b + 40

Step-by-step explanation:

Just multiply 8 to 2b and 8

Write a word description of the set.
{−6, −5, −4, −3, −2, −1}

Answers

The numbers in the brackets shown are from least to greatest. Negative six (being the lowest), negative five, negative four, negative three, negative two, negative one(being the greatest).
Hope this helps!

19,212 x 10*2 =
92.3
1932
Help please

Answers

Please make sure your question is formatted correctly and ill answer it for you.

What is the domain of f(x)=
10x1-(4)
?

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}

Step-by-step explanation:

56 gallons to 77 gallons​

Answers

Answer: it would be +21 gallons

Step-by-step explanation:you have to add 21 gallons to get 77 gallons

The Awnser is +21gallons

math!
POINTS
TODAY
POINTS
THIS WEEK
Hwk #28: DistRateTime
GAME
CREDITS
V. Whitehea
$
$
$
First try was incorrect
Rosa travels 20 miles per hour. How long does it take her to travel 2
miles? Your answer should be in hours, rounded to the nearest tenth.
label required
Х
x² f(x) qx x

(x) x < > TI"

Answers

Answer:

it takes her 1/10 of an hour

Step-by-step explanation:

math

PLEASE HELP AND SHOW WORK IF YOU CAN​

Answers

Answer:

c) XY > RS

= true

Step-by-step explanation:

Firstly know the meaning of each sign given

> means is greater than

= means is equal to

a)XZ > ST

XZ = 8

ST = 11 - greater

= false

b) XY = RS

Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.

XY is longer than RS

= false

c) XY > RS

= true

d) RS > XY

RS is shorter than XY hence not greater.

= false

1. A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are:

(3, -2), (3, 4), and (−3, 4).

The city planner wants to put a tree at the orthocenter of the park. What are the coordinates of the tree?
2. The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the tree?
3. picture below

Answers

Answer:

Download Socratic it has all the information you need

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