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pychu [463]
11 months ago
15

The equation V = 16300 (0.94)^t represents the value (in dollars) of a car t years after its purchase. Use this equation to comp

lete the statements below.

Mathematics
1 answer:
Dafna1 [17]11 months ago
5 0

Solution:

Given:

V=16300(0.94)^t

The value of a car after t - years will depreciate.

Hence, the equation given represents the value after depreciation over t-years.

To get the rate, we compare the equation with the depreciation formula.

\begin{gathered} A=P(1-r)^t \\ \text{where;} \\ P\text{ is the original value} \\ r\text{ is the rate} \\ t\text{ is the time } \end{gathered}

Hence,

\begin{gathered} V=16300(0.94)^t \\ A=P(1-r)^t \\  \\ \text{Comparing both equations,} \\ P=16300 \\ 1-r=0.94 \\ 1-0.94=r \\ r=0.06 \\ To\text{ percentage,} \\ r=0.06\times100=6\text{ \%} \\  \\ \text{Hence, } \\ P\text{ is the purchase price} \\ r\text{ is the rate} \end{gathered}

Therefore, the value of this car is decreasing at a rate of 6%. The purchase price of the car was $16,300.

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3 years ago
-2x - 6y = -24<br> X-8y = -10
Debora [2.8K]

Answer:

x = -26 and y = -2

I hope this is the answer you are looking for

Step-by-step explanation:

x-8y = -10 => add 8y to both sides

+8y = +8y

x = -10+8y

-2(-10+8y) -6y = -24 => intersect what you got into the first equation

20-16y-6y = -24 => Distribute the -2

20-22y     = -24 => subtract 20 in both sides

-20           = -20

-22y = -44 => divided by -22 in both sides

/-22 = /-22

y = -2

x-8(-2) =-10 => intersect the y into the other equation

x+16 = -10 => multiply -8*-2

 -16  = -16

x = -26 => subtract 16 in both sides.

8 0
3 years ago
A ladder 25 feet long is leaning againstthe wall of a house. The base of the ladder ispulled away from the wall at a rate of 2 f
WITCHER [35]

Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s

              b) 527/24 Ft²/s

              c) 2/25 rad/sec

Step-by-step explanation:

a) b=7 ; a^2+b^2 = 25^2

             a^2+b^2 = 625

Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

                                    b(db/dt) = -a(da/dt)

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.

b) Area of the triangle = 1/2 * b*h

differentiate wrt to time leads to the following relation:

2dA/dt= h(db/dt)+b(dh/dt) \\dA/dt=24-49/24 = 527/24 Ft^2/sec

c) sin (Θ) = b/25

differentiate it again to give

cos(0.284)(d\theta/dt) =  (1/25) (db/dt) \\=2/25 rad/sec

                                 

                               

6 0
3 years ago
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