1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marizza181 [45]
3 years ago
13

In 2000, the population of Massachusetts

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

f(x) = 6.3*(1.0032)^{x}

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

f(x) = 6.3*(1.0032)^{x}

7 = 6.3*(1.0032)^{x}

(1.0032)^{x} = \frac{7}{6.3}

(1.0032)^{x} = 1.11

We have to following logarithm rule

\log{a^{x}} = x\log{a}

So we apply log to both sides of the equality

\log{(1.0032)^{x}} = \log{1.11}

x\log{1.0032} = \log{1.11}

x = \frac{\log{1.11}}{\log{1.0032}}

x = 32.66

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

You might be interested in
The value of loga (30a)^3 is
postnew [5]
Part 1 of the solution.

8 0
3 years ago
What is the card balance
GaryK [48]

Answer:

A card balance is the total amount of money that you currently owe on your credit card. The balance increases when purchases are made and decreases when payments are made. Purchases, balance transfers, foreign exchange, fees, and interest all factor into your credit card balance.

please brainlest and like

8 0
2 years ago
alana and petra go to a used book sale, where every book is the same price. Alana buys 5 books and Petra buys 4 books. They run
Pachacha [2.7K]
After understanding the problem, formulate equations to determine the unknown. Let x be the price of one book. Equating Alana&Petra's expense with Angus' would be

5x + 4x +5 = 19x - 10

The 5 in the left side is needed because Angus' expense is $5 more. Also, the 10 on the right side represents the $10 discount. Solving the equation,

19x = 9x = 5+10
10x = 15
x = $1.5

Therefore, the book costs $1.5. 
8 0
3 years ago
a 28 ft. ladder leaning against a vertical wall makes an angel of 80 degrees with the ground. How far from the base of the wall
worty [1.4K]

Answer:

The ladder is 4.86 foot from the base of the wall .

Step-by-step explanation:

Given as :

The length of the ladder = 28 ft

The ladder makes angle of 80° with the ground

Let The distance of the ladder from the foot of the wall = x ft

Now, From Triangle BAC

Cos angle = \dfrac{\textrm Base}{\textrm Hypotenuse}

I.e Cos 80° = \dfrac{\textrm BA}{\textrm AC}

Or, 0.1736 =  \dfrac{\textrm x}{\textrm 28}

Or, x = 0.1736 × 28

∴  x = 4.86 foot

So, The distance of ladder from wall base = x =  4.86 foot

Hence The ladder is 4.86 foot from the base of the wall . Answer

3 0
3 years ago
statistics : 1. Here are the average temperatures in Houston, TX for each month in 2014 (measured in oF): please answer the ques
Bad White [126]
A. Range=highest-lowest. 85-53=32
b. Mean=average. Add all of the numbers together then divide by 12, you get about 70.2
c. Median is the middle number, or average of middle 2 numbers. average of 63 and 70 is 66.5.
d. There are 5 months with temperature less than 70, so the chance is 5/12
5 0
3 years ago
Read 2 more answers
Other questions:
  • Abe come is paying $400 a month to rent a house
    15·1 answer
  • Find the area of the following figure. Show your work.
    14·1 answer
  • Is 2 1/2 equivalent to 2 3/6
    8·2 answers
  • Which system of equations below can be used to solve the following problem?
    7·1 answer
  • HEB has dish soap that costs $2.80 for a 12oz bottle. Fiesta has the same dish soap that costs $2.00 for a 8 oz tube.
    8·1 answer
  • I NEED HELP ASAP PLEASE
    13·1 answer
  • Guided Practice
    15·1 answer
  • philip has 11 coins that equal a total of 82 cents. His coins include at least 1 quarter 1 dime 1 nickel and 1 penny. how many o
    15·1 answer
  • A driver travels 208 miles in 4 hours. what is the driver's speen,in miles per hour ?
    9·2 answers
  • Explain in words how to find the product of -4 (-1.5) using a number line.where do you end up
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!