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professor190 [17]
2 years ago
8

The value in dollars,v(x),of a certain truck after x years is represented by the equation v(x)=32,500(0.92)^x.To the nearest dol

lar,how much more is the truck worth after 2 years than after 3 years?
Mathematics
1 answer:
Vika [28.1K]2 years ago
7 0

Answer: $2193

Step-by-step explanation:

v(x) = 32,500(.92)^{x}

Plug two and three in for x

v(2) = 32,500(.92)^{2}

v(2) = 32,500(.8464)

v(2) = 27,500

v(3) = 32,500(.92)^{3}

v(3) = 32,500(.778688)

v(3) = 25,307.36

Subtract v(3) from v(2)

27,500 - 25,307.36 = 2192.64

Round to the nearest dollar to get $2193

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Question 10 Multiple Choice Worth 1 points)
zheka24 [161]

Answer:

Linearly, because the table shows that the sunflowers increased by the same amount each month

Step-by-step explanation:

Given the table

\begin{array}{lcccc}\text{Month}&1&2&3&4\\ \\\text{Sunflowers}&15&17.2&19.4&21.6\end{array}

Note that months change one-by-one (21-1, 3-2=1, 4-3=1).

Also

17.2-15=2.2\ [\text{from month 1 to month 2}]\\ \\19.4-17.2=2.2\ [\text{from month 2 to month 3}]\\ \\21.6-19.4=2.2\ [\text{from month 3 to month 4}]

This means the number of sunflowers increases linearly, because the table shows that the sunflowers increased by the same amount each month

3 0
2 years ago
Which sentence can represent the inequality One-half x + three-fourths greater-than-or-equal-to 5 and one-fourth?
hodyreva [135]

Answer:

  The sum of half of a number and three-fourths is at least five and one quarter

Step-by-step explanation:

It's all about making sense of an English sentence.

  "half the sum ..." is different from "the sum of half ..."

And ...

  "at least" and "not less than" mean the same (≥)

  "not more than" and "at most" mean the same (≤)

_____

Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.

__

"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"

  means the same as ...

"The sum of half of a number and three-fourths is at least five and one quarter"

6 0
2 years ago
Read 2 more answers
The following exercise refers to choosing two cards from a thoroughly shuffled deck. Assume that the deck is shuffled after a ca
dem82 [27]

Answer:

\frac{4}{663}

Step-by-step explanation:

Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.

A - the first card is 4

B - second card is ace

We have to find probability for

A\bigcap B

P(A) = no of 4s in the deck/total cards = \frac{4}{52} =\frac{1}{13}

After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it

P(B) = no of Aces in 51 cards/51 = \frac{4}{51}

Hence

P(A\bigcap B) = \frac{1}{13} *\frac{4}{51} \\=\frac{4}{663}

(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)

8 0
2 years ago
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A park district is building an outdoor tennis court based on a scale drawing that measures 30cm long by 13.75 cm and uses the sc
Yuliya22 [10]

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

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13.75cm in the drawing would be:

= 0.8 x 13.75

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Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

<em>Find out more at brainly.com/question/12581267.</em>

3 0
1 year ago
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