5

Anew truck costs 535,000_ The truck'$ value will depreclate over time which means It will lose value For tax purposes, depreciation Is usually calculated linea...

Question

Anew truck costs 535,000_ The truck'$ value will depreclate over time which means It will lose value For tax purposes, depreciation Is usually calculated linearly: If the truck Is worth 524,500after three years, what Is the value of the truck after years? $

Anew truck costs 535,000_ The truck'$ value will depreclate over time which means It will lose value For tax purposes, depreciation Is usually calculated linearly: If the truck Is worth 524,500after three years, what Is the value of the truck after years? $



Answers

You buy a used truck for $\$ 20,000$. It depreciates at the rate of $15 \%$ per year. Find the value of the truck in the given years.
3 years

You were given the following information. We're told that the used truck was bought for $20,000. The decay rate is between percent or 41 5 and were asked for the value of the truck in 12 years time. So use our exponential decay model. Where sees that may show cost of the truck are the percentage decrease and T is the time so we can do 1001 minus R 12 which gives us a valuable off. 2000 and eight, 244 dollars and 54 cents in 12 years.

So in this question, we're told that the use truck was brought for $20,000 it's de carried in price is 15% per 150.15 When were asked for the value of the drug in K tears talk. So we know that this was an exponential decay model off the form. See, my one minus hard to the power teeth. So we're going to substitute our values here. So 20,001 minus are decorated to the power office number of years. And so in eight years time, the value off our drug is by 449.81 tops.

Okay in this problem, we have a truck, and it has some value according to this formula right here. And our goal is to find out how fast it's depreciating two years and four years into, um owning it to. In order to do that, we're gonna need to get the derivative the prime of tea. Now, we can treat this function as if that whole denominator we're just raised to the first power and we have a constant 60,000 out front. So, um, we're going to rather than which is rewrite this V of tea said the prime of T is one plus 0.3 t plus 0.1 t squared the negative first. So now if we calculate the prime of T, we're gonna get 60,000 times that negative one times one plus 10.3 t plus point won t squared to the negative second. And then we multiply it by the derivative of the inside, which is 0.0.3 plus point to t using the power rule. So that's our function vey prime of tea. Now all we have to do is figure out the prime of two that's figuring out the depreciation two years in and the prime of two comes out to be negative. 10,500. So essentially two years into owning this truck, you're loosing $10,500 per year, and the prime of four is the depreciation rate. Four years in, ah, using a calculator that comes out to be negative 4570 and we're gonna round it to the nearest cent. So 45700.64 So roughly four years into this, you're losing $4570.64 each year thereafter.

Okay, so we're asked to find the rate of or at which the value of the truck is changing at the following times who were asked to find Devi over DT. So we're gonna use the coaching world role here. It's not the falling youth, and that's what this beauty to have you. Parton. That's Earl Times fee. That's also zero minus B prime. That's, um, 0.3 plus several 0.1 times two sets, 0.2 t times You all over b squared. Okay, So for part A, we have about two years to plugging in to use equal to two. We yet negative 10 500 And for part B went to use equal to four. We have negative. Four, 57 They're all off 8.64


Similar Solved Questions

5 answers
Slightly ChallengingBLAkThe measure of the angle B in the right triangle sketched above is not given; but given to US is sin(ZB) More inconveniently, given to us is [ = 4, not the other leg: What is the exact value of e?PreviewPS: For this problem; e 1S not denoting the irrational number 2.718
Slightly Challenging B L A k The measure of the angle B in the right triangle sketched above is not given; but given to US is sin(ZB) More inconveniently, given to us is [ = 4, not the other leg: What is the exact value of e? Preview PS: For this problem; e 1S not denoting the irrational number 2.71...
5 answers
Point)U = ~3i + j+ 4kw = 2i + 2j+ kCompute the dot product U: w_
point) U = ~3i + j+ 4k w = 2i + 2j+ k Compute the dot product U: w_...
5 answers
There is 3 trick; by which piece of glass is made to "disappear" in 3 fluid. How does that work?Draw sketch to explain the concept of apparent depth_
There is 3 trick; by which piece of glass is made to "disappear" in 3 fluid. How does that work? Draw sketch to explain the concept of apparent depth_...
5 answers
16)OHOHA) LiAI(OC(CH3)3l3H B) LiAIH4 C) NaBH4 D) BH3 ~THF E) none of the above
16) OH OH A) LiAI(OC(CH3)3l3H B) LiAIH4 C) NaBH4 D) BH3 ~THF E) none of the above...
5 answers
Scientific explanations for natural phenomenon cannot be rejected. are reflection of how ' things ought to be: may be based on data that cannot be reproduced: cannot be tested do not refer to religious or spiritual explanations_
Scientific explanations for natural phenomenon cannot be rejected. are reflection of how ' things ought to be: may be based on data that cannot be reproduced: cannot be tested do not refer to religious or spiritual explanations_...
5 answers
G-2op G lojp 1 Spo+Sdt V= Io V
G-2op G lojp 1 Spo+ Sdt V= Io V...
1 answers
The $p H, p O H, I H^{+}$ I, or $I O H^{-}$ I is given. Find each of the other values. Classify each solution as strongly acidic, weakly acidic, neutral (or close to neutral), weakly basic, or strongly basic. $$\left[\mathbf{H}^{+}\right]=0.1 \mathbf{M}$$
The $p H, p O H, I H^{+}$ I, or $I O H^{-}$ I is given. Find each of the other values. Classify each solution as strongly acidic, weakly acidic, neutral (or close to neutral), weakly basic, or strongly basic. $$\left[\mathbf{H}^{+}\right]=0.1 \mathbf{M}$$...
5 answers
Dx x2 V16 22(c) T/2cOS % dx(d)
dx x2 V16 22 (c) T/2 cOS % dx (d)...
1 answers
For each vector $\mathbf{v}=\langle a, b\rangle$ and initial point $(x, y)$ given, find the coordinates of the terminal point and the magnitude $|\mathbf{v}|$ of the vector. $$\mathbf{v}=\langle-3,-5\rangle ; \text { initial point }(2,6)$$
For each vector $\mathbf{v}=\langle a, b\rangle$ and initial point $(x, y)$ given, find the coordinates of the terminal point and the magnitude $|\mathbf{v}|$ of the vector. $$\mathbf{v}=\langle-3,-5\rangle ; \text { initial point }(2,6)$$...
5 answers
How many grams of KO,are needed to produce 857.0Lof Ozat 14.0 Cand 1.00atm?
How many grams of KO,are needed to produce 857.0Lof Ozat 14.0 Cand 1.00atm?...
5 answers
Mammal Bird Reptile Amphibian FishEndangered Threatcncd
Mammal Bird Reptile Amphibian Fish Endangered Threatcncd...
5 answers
An engine (mass 351.5 kg) has an efficiency of 28%. It absorbs 800 J of heat from a reservoir operating temperature of 703 K It expels 576 J of heat: What is the operating temperature (in K) of the cold reservoir? (Do not give units in your answer; do not round )
An engine (mass 351.5 kg) has an efficiency of 28%. It absorbs 800 J of heat from a reservoir operating temperature of 703 K It expels 576 J of heat: What is the operating temperature (in K) of the cold reservoir? (Do not give units in your answer; do not round )...
5 answers
The limits of integration ofr in cylindrical coordinatesto find the volumeofthe region bounded below by the cone 2 2x2 + 2yz and above by the sphere x2 +y2 + 22 = 9 are0 O<r<3O O<rs9O O<rsv30 None of these
The limits of integration ofr in cylindrical coordinatesto find the volumeofthe region bounded below by the cone 2 2x2 + 2yz and above by the sphere x2 +y2 + 22 = 9 are 0 O<r<3 O O<rs9 O O<rsv3 0 None of these...
5 answers
1 1Q Aneeded 1 Theereclve tnuleuldi 1 MRoung lotthe
1 1 Q Aneeded 1 Theereclve tnuleuldi 1 MRoung lotthe...
4 answers
ReviewAn electron with . vebcity given by 1 =(1.5*105 m/s 1+(6600 m/s )jj movos through region 01 spaco with magnetic field B =(0.26 T )i (0.12 T)i and electric field E (220 N/C )i.PartUsing Cross_ products, find the magnitude ol the ner Torce acting on the electron: (Cross products are discussed Appendix A ) Expreas your anawer using two signlicant tigures AZdXIO"SubmitPrevlous Answers Request Answer
Review An electron with . vebcity given by 1 =(1.5*105 m/s 1+(6600 m/s )jj movos through region 01 spaco with magnetic field B =(0.26 T )i (0.12 T)i and electric field E (220 N/C )i. Part Using Cross_ products, find the magnitude ol the ner Torce acting on the electron: (Cross products are discussed...
5 answers
Question 11Identify level curvesSketch the level curves of the function V(z,y)for € = x + yClear All Draw:xmwSubmit Question
Question 11 Identify level curves Sketch the level curves of the function V(z,y) for € = x + y Clear All Draw: xmw Submit Question...

-- 0.020409--