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3 years ago

A new truck that sells for $29,000 depreciates (decreases in value) 12% each year. Which function models the value of the truck?

Mathematics

2 answers:

sammy [17]3 years ago

6 0

29,000 *.12x=current worth

Irina18 [472]3 years ago

6 0

for depreciation the formula is:

y = years

value = 29000*(1-0.12)^y

value = 29000*0.88^y

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Is the function continuous at x = -17

Pavlova-9 [17]

For a function to be continuous at an x-value, say -17, you need to make sure two things line up:

The limit from the left equals the limit from the right.

$\lim_{x \to -17^{-}} f(x) = \lim_{x \to -17^{+}} f(x)$

This limit equals the functions value.

$\lim_{x \to -17} f(x) = f(-17)$

The left hand limit involves the first piece, f(x) = 20x + 1:

$\begin{aligned} \lim_{x \to -17^{-}} f(x) &= \lim_{x \to -17^{-}} (20x+1)\\[0.5em]&= 20(-17)+1\\[0.5em]&= -339\endaligned}$

The right hand limit invovles the second piece, f(x) = -10x^2:

$\begin{aligned} \lim_{x \to -17^{+}} f(x) &= \lim_{x \to -17^{+}} (-10x^2)\\[0.5em]&= -10\cdot (-17)^2\\[0.5em]&= -2890\endaligned}$

Since the two one-sided limits don't match, the function is not continuous at x=-17.

3 0

3 years ago

In a classroom, 2/12 of students play baseball,4/12 play football,1/12 are in the chorus,and the rest participate in volunteer p

777dan777 [17]

12/12 would be the fraction of all students...now subtract all of the fractions that represent students not in the volunteer programs...

12/12-2/12-4/12-1/12

(12-2-4-1)/12

5/12

So 5/12 of the student participate in volunteer programs.

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3 years ago

HELP!!!! WILL GIVE BRAINLIEST

sveta [45]

Answer:

Step-by-step explanation:

7 0

2 years ago

On a map, San Francisco is 7.5 inches from San Diego. The actual distance is 500 miles. The same map shows that Fresno is 3.3 in

Strike441 [17]

If 500 miles is represented by 7.5 inches:
Divide 500 by 7.5
500/7.5 = 66.666
Multiply this by 3.3
66.666*3.3 = 220

The answer is 220 miles

6 0

3 years ago

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Kite WXYZ is graphed on a coordinate plane. What is the approximate perimeter of the kite? Round to the nearest tenth. 10.6 unit

Archy [21]

Answer-

Perimeter of the kite is 16.2 units

Solution-

As WXYZ is a kite, so two disjoint pairs of consecutive sides are congruent, i.e WX=XY and WZ=ZY

So, perimeter of the kite WXYZ is,

$=2(\overline{WX}+\overline{WZ})$

And

$\overline{WX}=\sqrt{(1-3)^2+(1-4)^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}$

$\overline{WZ}=\sqrt{(1-3)^2+(1+3)^2}=\sqrt{(-2)^2+(4)^2}=\sqrt{4+16}=\sqrt{20}$

So, perimeter will be,

$P=2(\sqrt{13}+\sqrt{20})=16.15\approx 16.2\ units$

4 0

3 years ago

Read 2 more answers