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3 years ago

11

This motorcycle depreciates by 16% per annum.

1 answer:

cestrela7 [59]3 years ago

4 0

Answer:

5.255365 years

Step-by-step explanation:

2500× $(\frac{84}{100})^{n}$ =1000

Divide 2500 both sides.

$(\frac{84}{100})^{n}$ = $\frac{1000}{2500}$

$0.84^{n}$ = $0.4$

$n=\frac{log(0.4)}{log(0.84)}$

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If a ball is thrown into the air with a velocity of 38 ft/s, its height in feet t seconds later is given by y = 38t − 16t2. (a)

tiny-mole [99]

Answer:

i.-34ft/s

ii.-27.6ft/s

iii.-26.8ft/s

iv-26.7ft/s

B.-26ft/s

Step-by-step explanation:

$average velocity = \frac{y_{2}-y_{1}}{t_{2}-t_{1}}\\$

For all cases the value of the initial time $t_{1} =2 seconds \\$

now we also use this time ti determine the value of the initial height in all cases

$y_{1}=38(2)-16(2)^{2} \\y_{1}= 12ft\\$

now when the time is increase by 0.5 seconds the new height becomes

$y_{2}=38(2.5)-16(2.5)^{2} \\y_{2}=-5fts\\$

the velocity becomes

$[tex]Average velocity = \frac{-5-12}{2.5-2}\\Average velocity = -34ft/s\\$

ii. when the time is increase by 0.1 seconds

the new height becomes

$y_{2}=38(2.1)-16(2.1)^{2} \\y_{2}= 10.66ft\\$

$Average velocity = \frac{10.66-12}{2.05-2}\\Average velocity = -27.6ft/s\\$

iii. when the time is increase by 0.05 seconds

the new height becomes

$y_{2}=38(2.05)-16(2.05)^{2} \\y_{2}= 9.24ft\\$

$Average velocity = \frac{9.24-12}{2.05-2}\\Average velocity = -26.8ft/s\\$

iv. when the time is increase by 0.1 seconds

the new height becomes

$y_{2}=38(2.01)-16(2.01)^{2} \\y_{2}= 11.73ft\\$

$Average velocity = \frac{11.73-12}{2.01-2}\\Average velocity = -26.7ft/s\\$ .

B. For us to determine the instantaneous velocity expression, we differentiate the expressing for the height

$V_{inst}=38-32t\\$

we now substitute t=2, we arrive at

$V_{inst}=-26ft/s\\$

6 0

4 years ago

A pharmacist found at the end of the day she had 5/4 as many prescriptions for antibiotics then tranquilizers. She had 18 prescr

Ganezh [65]

Answer:

16. 5/3

Step-by-step explanation:

let the no of tranquilizer be x

therefore

5/4 + x =18

x= 18-5/4

= 16 5/3

3 0

3 years ago

Does this set of ordered pairs

Talja [164]

Answer:

No because there are multiple Y values for the same X value. 3 is -1 and 1 at the same time meaning it is not a function.

Step-by-step explanation:

5 0

4 years ago

Find the complement of a 76° angle

loris [4]

Complementary angles add up to 90.
take away 76 from 90

5 0

4 years ago

Read 2 more answers

suppose the population of a town is growing exponentially. the population was 4,636 in 2008 and grew to 5,508 in 2018. what is t

Sloan [31]

<h2>94.93</h2>

Step-by-step explanation:

The standard equation used to model a exponential growth is given by $f(t)=Ae^{Bt}$

Given two data points, which are both explicitly a function of time, it is easy to solve the two equations,

$4636=Ae^{2008B} ,5508=Ae^{2018B}$

Dividing the second equation by the first,

$\frac{5508}{4636}=\frac{Ae^{2018B} }{Ae^{2008B} }$

$e^{10B}=\frac{5508}{4636}$

$10B=ln(\frac{5508}{4636} )=0.17235$

$B=0.017235$

Substituting in first equation, $A=4.32645\textrm{x}10^{-12}$

Growth model : $f(t)=(4.3265\textrm{x}10^{-12} )e^{0.017235t}$

Growth rate= $ABe^{Bt}$ = $94.93$

∴Approximate growth rate as of 2018 = 95

5 0

3 years ago