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Stels [109]
2 years ago
11

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

r. Write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.
Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
5 0

Answer: 56,900\left( 0.919\right)^x

Step-by-step explanation:

Given

Marcos purchased a sailboat for \$56,900

Each year the boat will decrease in value by 8.1\%

After 1 year it is

\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\

after another year it becomes

\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2

After x years it is

\Rightarrow 56,900\left( 1-0.081\right)^x

\Rightarrow 56,900\left( 0.919\right)^x

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Bas_tet [7]

Answer:

  C.  1 3/4 - (a fraction less than 3/4)

Step-by-step explanation:

Your number sense should be able to help you with this one.

A. 5 × 1/10 = 1/2, not a number greater than 1

B. 4/9 + 1/3 = 7/9, not a number greater than 1

C. 1 3/4 -1/2 = 1 1/4, a number greater than 1 (see below for more explanation)

D. 7/8 × 1/2 = 7/16, not a number greater than 1.

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<em>More explanation</em>

Let x represent a number less than 3/4. Then we want to make sure that ...

  y = 1 3/4 - x

will be greater than 1.

Solving for x, we get ...

  x = 1 3/4 - y

Applying the requirement that x < 3/4, we have ...

  x < 3/4

  (1 3/4 -y) < 3/4

  1 3/4 < y + 3/4 . . . . . . add y

  1 < y . . . . . . . . . . . . . . .subtract 3/4

We see that the condition on x makes sure that y is always greater than 1.

3 0
3 years ago
If the product of two identical number is one thousand twenty four. Find out of the numbers​
GaryK [48]

Answer:

32

Step-by-step explanation:

1,024 will be a perfect square if it is the product of 2 of the same numbers:

Calculate the square root of 1024:

\sqrt{1024}

= 32

So, the number is 32

3 0
3 years ago
Read 2 more answers
If 15% of an item is $18 what is the original price??
stiks02 [169]

Answer:

If you were trying to find 15% of 18, that would be multiplying a decimal, but, you need to mutliply a whole number. $120 should be your answer. People, correct me if I'm wrong (seriously though, not 100% sure if this is correct).

Step-by-step explanation:

18 = 15% x Y

18 = 15/100 x Y

Y = 18 × 100/15

Y = 18 × 100 ÷ 15

Y = 120

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3 years ago
Simplify the expression.<br> (x 3/2)6
Sliva [168]

For this case we must simplify the following expression:

(x ^ {\frac {3} {2}}) ^ 6

We have that by definition of properties of powers that is fulfilled:

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

Then, rewriting the expression:

x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9

Answer:

(x^{\frac{3}{2}})^6=x^9

6 0
3 years ago
Aidan looked at how many people ride the morning
SashulF [63]

Answer:

Average number of people ride ferry boat = 62 or 63 people

Step-by-step explanation:

Given:

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58 59 60 61 62 63 64 65 66 67

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Computation:

Average mean = Sum of all observation / Number of observation

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Average number of people ride ferry boat = [625] / 10

Average number of people ride ferry boat = 62.5

Average number of people ride ferry boat = 62 or 63 people

5 0
3 years ago
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