Ask question

Ask question

All categories

3 years ago

13

Shannon's new car sold for $28,000. Her online research indicates that the car will depreciate exponentially at a rate of 5 ¼ %

per year. Write the exponential depreciation formula for Shannon's car.

1 answer:

Novay_Z [31]3 years ago

6 0

Answer:

P = 28,000(0.945)^y

where P is the price of the car after y years of purchase

Step-by-step explanation:

The rate of decrease is 5 1/4 % per year

This is same as 5.5% (5.5/100 = 0.055) per year

The exponential equation will be ;

P = 28,000( 1 - 0.055)^y

P = 28,000(0.945)^y

where y is the number of years after the year of purchase

You might be interested in

Find the solutions to the equation -5/2x+3/4x=-3\4

Usimov [2.4K]

Simplify both sides of the equation

-5/2 x +3/4 x = -3/4

Combine like terms

(-5/2 x + 3/4 x )

-7/4 x = -3/4

-7/4 x = -3/4

Multiply both sides by 4/(-7)

(4/-7)*(-7/4 x ) = (4/-7 ) * ( -3/4 )

x = 3/7

6 0

3 years ago

Read 2 more answers

PLEASE PLEASE PLEASE HELP

Fantom [35]

Answer:

It should be C

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A boxer weighs 14 stone 5 lbs. To be in the heavyweight division, he must be > 91 kg. What is his weight in kg to 2 decimal p

Karo-lina-s [1.5K]

14x14= 196 lb.
196/2.2= 89.09 kg.

Did that help?

4 0

3 years ago

Read 2 more answers

Write 0.0007654 * 10^0 in scientific notation, then state the order of magnitude for it.

Bas_tet [7]

remember that to put a number in scientific notation is necessary to have the first digit of the number different to 0, so

$0.0007654\cdot10^0=7.654\cdot10^{-4}$

to calculate the order of magnitude, if the number is greater than 3.16, we assume it as a 10, so in this case as 7.654 > 3.16 we get that the order is

$10\cdot10^{-4}=10^{-3}$

So the order is 10^-3

5 0

1 year ago

22. Find the perimeter and area.

zmey [24]

Answer:

Part 22) The area is $A=15a^3b^6\ units^2($ and the perimeter is $P=10a^2b^4+6ab^2\ unit$

Part 24) The area is $A=16m^3n\ units^2$ and the perimeter is $P=24mn\ units$

Part 26) The area is equal to $A=9\pi x^6y^{2}\ units^2$

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

$A=LW$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

$A=(5(a^2)(b^4))(3(a)(b^2))$

$A=15a^3b^6\ units^2$

step 2

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

substitute in the formula

$P=2(5(a^2)(b^4)+3(a)(b^2))$

$P=10a^2b^4+6ab^2\ unit$

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

$A=\frac{1}{2}bh$

where

$b=8mn\ units$

$h=4m^2\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

$A=\frac{1}{2}(8mn)(4m^2)$

$A=16m^3n\ units^2$

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

$P=3b$

where

$b=8mn\ units$

substitute

$P=3(8mn)$

$P=24mn\ units$

Part 26) Find the area

The area of a circle is equal to

$A=\pi r^{2}$

where

$r=3x^3y\ units$

Remember the property

$(a^{m})^{n}=a^{m*n}$

substitute in the formula the given value

$A=\pi (3x^3y)^{2}$

$A=9\pi x^6y^{2}\ units^2$

6 0

3 years ago