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
Masja [62]
3 years ago
14

The rate of inflation is 3%. The cost of an item in future years can be found by iterating the function c(x)=1.03x. Find the cos

t of a $1500 refrigerator in three years if the rate of inflation remains constant.
Select one:
a. $1645.00
b. $1545.00
c. $1639.09
d. $1539.99
Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

year 1

cost = 1.03 (1500) = 1545

put 1545 in for x in year 2

year 2

1.03 * 1545 = 1591.35

put in 1591.35 in for x in year 3

year 3

1.03 *1591.35=1639.0905

round to the nearest cent

cost  in three years: $1639.09

Choice C

You might be interested in
Derive the equation of the parabola with a focus at (-5,5) and a directix of y = -1
Paladinen [302]

Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x+5)^2+(y-5)^2} = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = \frac{1}{12} (x + 5)² ← add 2 to both sides

y = \frac{1}{12} (x + 5)² + 2

or

f(x) = \frac{1}{12} (x + 5)² + 2 → D

7 0
3 years ago
Please help asap....
Andrei [34K]

Find the area of the total circle and when you find that area, multiply it by 145/360 for that is how much of the circle that area is.

Area of circle, \pir^2 and 13.69 times 3.14 is 42.9866. Then multiply by 145/360 to get about 17.3 inches squared.

7 0
3 years ago
A mother is 1 and 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Inga [223]

Answer:

The mom is 5 feet 3 inches

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

m = 1 3/4 * 3

<u>Step 2:  Solve</u>

m = (4/4+3/4) * 3

m = 7/4 * 3

m = 21/4

m = 5.25

<em>m = 5 feet 3 inches</em>

<em />

Answer:  The mom is 5 feet 3 inches

7 0
3 years ago
Read 2 more answers
Let ? = {a, b, c} be a sample space. let m(a) = 1/2, m(b) = 1/3, and m(c) = 1/6. find the probabilities for all eight subsets of
Leviafan [203]
<span>
A= {a,b,c} . Since this set has 3 elements, the number
of its total subset is 2³ = 8 (including the Ф element):

Here below all the subsets of {a,b,c}, with their related probabilities, knowing that P(a) = 1/2 ; P(b) = 1/3 and P(c) = 1/6

{a}        </span>→→→→1/2
<span>{b}        </span>→→→→1/3
<span>{c}        </span>→→→→1/6
<span>{a,b}     </span>→→→→1/2 + 1/3 =  5/6
<span>{a,c}     </span>→→→→1/2 + 1/6  =  2/3
<span>{b,c}     </span>→→→→1/3 + 1/6  =  1/2
<span>{a,b,c}  </span>→→→→1/2 + 1/3 + 1/6 = 1
<span>{∅}       </span>→→→→0 =0
5 0
3 years ago
PLEASE HELP ME!!!!! <br><br> what is the perimeter and area of this figure?
Pavel [41]

Answer:

The perimeter is 99

Step-by-step explanation:

you do 11x9=99

4 0
3 years ago
Other questions:
  • you're in mechanic you have been given an engine repair job that has a job time of 0.7 hour. about how many minutes should you a
    9·2 answers
  • At a 200 meter swimming competition bill got a personal record of 45 seconds and Tim was 5 seconds faster then bill at the compe
    12·1 answer
  • Find the slope of each line
    6·2 answers
  • Kirk's average driving speed is 7 kilometers per hour faster than Thor's. In the same length of time it takes Kirk to drive 450
    13·1 answer
  • Please help me, ill give brainlist
    10·2 answers
  • Identify the 42nd term of an arithmetic sequence where a_1=-12 and a_27=66
    15·2 answers
  • Find the value of y.
    11·1 answer
  • What is the slope intercept of this line​
    12·2 answers
  • Two thirds of the class finished the test on time. What fraction of the
    14·1 answer
  • X2-8x+12=0<br><br><br> Someone help me
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!