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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
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John is building a fence around his home currently his fence measures 14 feet on each side but he wants to increase only the wid
nalin [4]

Answer:

The dimensions of rectangular fence are 14 feet and 20 feet.

Step-by-step explanation:

We are given the following in the question:

Length of rectangular fence = 14 feet

Width of fence = (14+x) feet

Area of rectangular field = 280 square feet

Area of rectangular field =

A= \text{Length}\times \text{Width}

Putting the values, we get,

280 = 14(14+x)\\\\14 + x = \dfrac{280}{14}\\\\14 + x = 20\\x =20-14\\x = 6

Thus, the dimensions of rectangular fence are 14 feet and 20 feet.

7 0
3 years ago
HELP ASAP PLZ :)
Natalija [7]

for the triangle...

b=2h

a=(1\2).bh=648

(1/2).2h.h=648

h2=648

h-18|2 in

h=36|2 in

for the rectangle...

L=3+w

a=l+w=648

{3+w}w=648

w2+3w-648=0

Only positive W values make sense here..

w-24=0

w=24 in

So..

L=3+24

3 0
3 years ago
Please help me with my math
Taya2010 [7]
3x + 22 is the equation that represents the perimeter of the triangle.  4x + 10 is the perimeter of the rectangle.  Setting the two equal:

3x + 22 = 4x + 10

and collecting like terms:

x=11

We find that the perimeter of both shapes is equal to 11 units.
8 0
3 years ago
Polygon ABCD has vertices A(1,3) , B(1,6) , C(4,6) , and D(5,2) .
Bond [772]

Answer:

  • check below for explanation.

explanation:

➢ Given coordinates:

  • A( 1, 3 )
  • B( 1, 6 )
  • C( 4, 6 )
  • D( 5, 2 )

➢ after a dilation with a scale factor of 1/2:

  • A( 1, 3 )  ÷  2    ☛   A'(0.5,1.5)  
  • B(1, 6 )   ÷  2    ☛   B'(0.5, 3)
  • C( 4, 6)  ÷  2    ☛  C'( 2, 3 )
  • D( 5, 2)  ÷  2    ☛  D'( 2.5, 1)

➢ Plot the after dilation coordinates on the graph:

  • check the image below:

5 0
2 years ago
What is the width of a rectangle with lengh 25in and area 375 in. 2
bonufazy [111]

Answer:

15in

Step-by-step explanation:

Area=width x length

Width=375/25 = 15in

8 0
3 years ago
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