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
Xelga [282]
3 years ago
13

A car that originally cost $20,000 depreciates by 15% each year in about how many years will be car be worth half its value use

the equation 10,000=20,000(0.85)^x to solve the problem round your answer to the nearest dollar
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0
0.5=0.85^x  taking the natural log of both sides...

ln0.5=x ln0.85

x=ln0.5/(ln0.85)

x≈4.265

Then:

f=20000(0.85)^(4.265)

f=$10000.00 to nearest dollar
You might be interested in
Can i have some help on both of these questions for brainlist !!!!!!!!!!!
Nezavi [6.7K]

Answer:

B and A

Step-by-step explanation:

What I did for these problems is plug in the numbers listed for the x-value. For example, in your calculator you’d put; (1/2)^3 and that’d get you 1/8. Then, try it for 8^(2 - 3) which is also 1/8. So, (1/2)^3 = 8^(2 - 3).

The same process for the second problem. 16^(2(7/3) -3) = 4^((7/3) + 1). This should give you 101.59…

I hope this helps :)!

5 0
2 years ago
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
4 years ago
Write an English phrase that would translate into the following mathematical expression.
Yuliya22 [10]

Answer:

C.

Step-by-step explanation:

5z - 7, you would say 5 times z minus 7, which is the same as 5 less than th product of 7 and a number z

6 0
3 years ago
∠A and ∠B are adjacent. The sum of their measures is 92∘. ∠A measures (2x+5)∘. ∠B is three times the size of ∠A.
Ilia_Sergeevich [38]

Answer:

Equation:  2x + 5 + 6x + 15 = 92

Solution:  x = 9

m∠A =23°  m∠B = 69°

Step-by-step explanation:

measure of ∠B = 3(2x + 5) = 6x + 15

The sum of the angles = 92 = 2x + 5 + 6x + 15

92 = 8x + 20

72 = 8x

x = 9

m∠A = 2(9) + 5 = 18 + 5 = 23

m∠B = 6(9) + 15 = 54 + 15 = 69

Check:  23 + 69 = 92  and 23(3) = 69

5 0
3 years ago
Complete the simplified ratio:<br> 0.2 : 3.75
sesenic [268]

Answer:

1: 18.75

Step-by-step explanation:

We multiply both sides by 5.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is .36 repeating expressed as the quotient of two integers in simplest form?
    10·1 answer
  • A) Complete the table of values for y = x^2 - 4x<br>​
    9·1 answer
  • What does y=mx+ b represent
    5·2 answers
  • What is 20% of 5000​
    8·2 answers
  • Amy purchased a five-year $5,250 bond below par value for $4,675 with a coupon of 3.5%. What was her yield?
    11·1 answer
  • community gym charges a 40$ membership fee and a 50$ monthly fee workout gym charges a 190$ membership fee and a 40$ monthly fee
    13·1 answer
  • PLZ HELP! Lenny is 3 times older than Max. When you subtract Max’s age from Lenny’s age, you get 24. How old is Lenny and how ol
    5·2 answers
  • Finding the slope of the line.
    11·1 answer
  • Elise wants to divide a sum of money between Hannah and Adil in the ratio
    12·1 answer
  • The graph of y = f(x) is shown below. Find the value of f(-2).
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!