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4 years ago

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A travel trailer is bought at the price of $35,000. The price decreases at the rate of .25 every year (t). The exponential expre

ssion is 35,000(.75)^t. Find the price of the trailer at 5 years.

1 answer:

Debora [2.8K]4 years ago

3 0

Answer:

$ 8300 (Approximately)

Step-by-step explanation:

Given:

Initial price of the trailer is, $P_0=\$35000$

Rate of decrease per year is, $r=0.25$

The time in years is, $t=5$

The exponential expression for the decrease in price after 't' years is given as:

$P=P_0(1-r)^t$

Plug in all the given values and solve for 'P'. This gives,

$P=35000(1-0.25)^5\\P=35000(0.75)^5\\P=35000(0.2373)\\P=\$8305.5\approx \$8300$

Rounding it to the nearest whole number, the price of the travel trailer after 5 years is $ 8,300.

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Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o

Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, $\mu$ = 5.5 mins

Standard deviation, $\sigma$ = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ $z_1=\frac{x_1-\mu}{\sigma}$ ...raw score, $x_1$ = $5.4$

⇒ Plugging the values.

⇒ $z_1=\frac{5.4-5.5}{0.4}$

⇒ $z_1=-0.25$

For raw score 5.5 the z score is.

⇒ $z_2=\frac{5.8-5.5}{0.4}$

⇒ $z_2=0.75$

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ $P(5.4$

⇒ $P(-0.25$

⇒ $P(z$

⇒ $z(1.5)=0.7734$ and $z(-0.25)=0.4013$ .<em>..from z -score table.</em>

⇒ $0.7734-0.4013$

⇒ $0.3721$

To find the percentage we have to multiply with 100.

⇒ $0.3721\times 100$

⇒ $37.21$ %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0

3 years ago

The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to

mr Goodwill [35]

I hope this helps you

l=x+2

w=2x-5

(x+2)(2x-5)=56

2x^2-x-10=56

2x^2-x-66=0

2x +11

x -6

(2x+11)(x-6)=0

x=6

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3 years ago

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Mashutka [201]

Part 1:
180 = 5p+98 + 9p-2
180 = 14p + 96
84 = 14p
6 = p

part 2:
angle S will be the same as angle Q, so:
9p-2
9(6)-2
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3 0

3 years ago

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Gnoma [55]

No entiendo....................

7 0

3 years ago

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lbvjy [14]

Answer:

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3 years ago

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