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
nadya68 [22]
3 years ago
14

A sailboat depreciates at 15% of its original value each year. If the sailboat was $9,500 at its time of purchase, what is the v

alue of the sailboat after 7 years?
Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer: $ 3045.48

Step-by-step explanation:

The exponential decay equation with rate of growth r in time period t is given by :-

y=A(1-r)^t, where A is the initial amount

Given : The rate of decay of population every year : 15% =0.15

The initial value = $9500

Then , the exponential growth equation in time period t is given by :-

y=9500(1-0.15)^t=9500(0.85)^t

After t= 7 years

The value of the sailboat will be :-

y=9500(0.85)^{7}=3045.48233867\approx3045.48

Hence, the value of the sailboat after 7 years= $3045.48.

You might be interested in
PLS HELP ASAP! WILL MARK BRAINLIEST<br> sin ∠A =<br><br> 3/5<br> 4/5<br> 3/4<br> 5/4
Dafna11 [192]

Answer:

3/5

Step-by-step explanation:

sohcahtoa

since we're finding sine, we need the opposite and hypotenuse.

opposite of <A=3, hyp of <A=5.

opp comes before hyp in "soh", so sin<A=3/5

5 0
3 years ago
Nestor need 750 centimeters of rope . Rope comes in lengths of 4 1/2 meters and 9 meters at the hardware store. Which length of
Firdavs [7]

Answer:

9 meter.

Step-by-step explanation: 4 1/2 meters is too short, he would have to buy 2 lengths. 4 1/2 meters is 450 cm while 9 meters is 900 cm, if he gets the 900 cm length he can just cut off the excess to use later.

5 0
3 years ago
Use elimination to solve each system below.
aliina [53]

Answer:

System 1 : {3,0};  System 2 : {6,-2}

Step-by-step explanation:

2x + 3y = 6

-2x - y = -6

2y = 0

y = 0

-2x = -6

x = 3

system 2

2x + 3y = 6

2x + 2y = 8

y = -2

2x -4 = 8

2x = 12

x = 6

6 0
2 years ago
A pair of numbers that has the sum of 12 and a difference of eight
anygoal [31]

Answer:

2 ; 10

Step-by-step explanation:

a + B = 12

a - B = 8

a = 12 - B

(12 - B) - B = 8

a = 12 - B

12 - 2B = 8

B = 2

A = 10

7 0
3 years ago
Two integers have a sum of -44 and a difference of 22. The greater of the two integers is
Leni [432]

Answer:

  -11

Step-by-step explanation:

The generic solution to ...

  • a + b = sum
  • a - b = difference

Can be found by adding the two equations:

  (a+b) + (a-b) = (sum) + (difference)

  2a = (sum + difference)

  a = (sum + difference)/2

___

Our particular solution is ...

  a = (-44 +22)/2 = -11

The greater of the two numbers is -11.

___

The other number is -33.

5 0
3 years ago
Other questions:
  • A pole casts a 70-foot shadow. At the same time, a 3-foot mailbox near the pole casts a shadow 3 feet 6 inches. Find the height
    6·2 answers
  • Kahlil is recording a beat for a song that he is working on he wants the length of the beat to be more than 17 seconds long. His
    5·1 answer
  • On Monday Anya read 11 pages of a book in 1/2 hour. On Tuesday, she read 18 pages in 3/4 hour. Did Anya’s reading increase by mo
    13·1 answer
  • Convert x2 + x I factorization of binomials
    14·1 answer
  • Use division to determine whether the ratios form a proportion.
    11·1 answer
  • A balloon is rising vertically at the rate of 12 feet per second; at the same time, it is being blown horizontally by a wind of
    7·1 answer
  • How many points have a modulus of 4?
    11·1 answer
  • A boxplot helps to visualize the variability of a distribution. Five statistics form a boxplot, often referred to as the five-nu
    12·1 answer
  • 7 is 5% of what number
    13·1 answer
  • Find the solution of the system of equations. x-3y= -13<br> 2x+15y=16
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!