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
Pie
3 years ago
10

The smiths spent 2,000 on clothes in a particular year if they increase the amount they spend on clothes by 10% each year the sm

iths will spend a total
Mathematics
1 answer:
Finger [1]3 years ago
6 0

They always increase their spending by 10%, so we can always take the previous year's spending and find 110% of it by multiplying by 1.10.

They start at 2,000

In 1 year, they spend 2000×1.1

In 2 years, they spend 2000×1.1×1.1

In 3 years, they spend 2000×1.1×1.1×1.1

In 4 years, they spend 2000×1.1×1.1×1.1×1.1

Because they only ask for four years, you could probably just multiply that out. But what if they asked for the 20th year? or the fiftieth? You wouldn't want to calculate that, you would want to find a pattern.

Well really, we want to keep track of repeated multiplication, which we can do by using exponents. Look carefully at the pattern:

year 1 = 2000×1.11

year 2 = 2000×1.12

year 3 = 2000×1.13

year 4 = 2000×1.14

Do you see it?

year n = 2000×1.1n

Finding patterns like this are going to be critical for geometric series
You might be interested in
Determine the value of x in the triangle shown. answers: 48° 42° 228° 132°
Alisiya [41]

Answer:132

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?
siniylev [52]

Answer:

A.

Step-by-step explanation:

Anwer A has the following equation:

g(x)=\frac{3}{5}x^2-3

In this equation, we can calculated the intercept replacing x by 0, as:

g(x)=\frac{3}{5}0^2-3=-3

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, g(x)=\frac{3}{5}x^2-3

7 0
3 years ago
What is one-ninth times negative one and three over one?
denis23 [38]

Answer:

I think the answer is one over three

5 0
3 years ago
What is the nearest tenth of 3.25
Cerrena [4.2K]
The answer is 3.3 because you round up if the digit next to the place you are rounding to is equal to or greater to 5.
7 0
3 years ago
Read 2 more answers
Y-5=m(x-2) solve for x
Scilla [17]
4  the answer


hope it helped


8 0
3 years ago
Other questions:
  • Is it necessary to use the formulas for special products of binomials to multiply these binomials?
    8·1 answer
  • (7t-2)-(-3t+1)=-3(1-3t)
    12·1 answer
  • What is the area of the right triangle shown?
    5·1 answer
  • jill mowed lawns for 3 hours and earned $7.20 per hour.Then she washed windows for 4 hours and earned $6.75 per hour. what were
    14·1 answer
  • The sum of three consecutive odd integers is 36.<br> Please help me with that.
    5·1 answer
  • A hat contains several slips of paper with names. Each name is written on one or more slips. Grace chooses a slip of paper from
    14·1 answer
  • What is the value of x in 5x−3(x−11)=7(2x−5)+2
    8·1 answer
  • The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is
    6·1 answer
  • A rectangular box has dimensions 2 in by 4 in by 4 in. Increasing each dimension of the box by the same amount yieits a new box
    15·1 answer
  • Mitchell solves the following system of equations using the elimination method.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!