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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.

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The number of minutes Magdeline spent talking on her cell phone each month for the past five months were 494, 690, 502, 478, and
snow_lady [41]

Answer:

542 minutes

Step-by-step explanation:

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7 0
3 years ago
Varies inversely as If x = 6 then y = 8. Find y when x = 4 .<br> Y=
icang [17]

Answer:

Explanation:

The statement is expressed as

y

∝

1

x

inverse means

1

variable

To convert to an equation introduce k, the constant of variation.

y

=

k

×

1

x

⇒

y

=

k

x

To find k use the given condition that y = 8 when x = 4

8

=

k

4

⇒

k

=

4

×

8

=

32

⇒

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

32

x

2

2

∣

∣

∣

−−−−−−−−−−−−

x

=

16

→

y

=

32

16

⇒

y

=

2

when

x

=

16

8 0
2 years ago
Help answer this plz
Sphinxa [80]
X=-1 is the answer. Hope that helps!
8 0
3 years ago
Read 2 more answers
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