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Mathematics, 20.11.2019 00:31 Soloaa

a solid object is dropped into a pond with a temperature of 20°c. the function f(t)=ce^(-my)+20 represents the situation, where t is times in minutes, c is a constant in k= 0.0399.

after four minutes the object has a temperature of 35°c what was the initial temperature of the object round your answer to the nearest tenth, and do not include units

ansver

Answers: 2

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Answers

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Answer from: joleiswan9919

The initial temperature of the object was 37.6

Step-by-step explanation:

we have

$f(t)=Ce^{(-kt)} +20$

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

Find the value of the constant C

we have the ordered pair (4,35)

substitute in the equation and solve for C

$35=Ce^{(-0.0399*4)} +20\\Ce^{(-0.0399*4)}=15\\C=15/e^{(-0.0399*4)}\\C=17.6$

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

so

For t=0

$f(0)=(17.6)e^{(-k*0)} +20\\f(0)=17.6 +20\\f(0)=37.6$

therefore

The initial temperature of the object was 37.6 (I not include units)

ansver

Answer from: Quest

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

ansver

Answer from: Quest

answer:

payment just for service

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

service

−−−−−−

so technically the answer is

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

.

→

$

72.60

20% tip

20

100

×

$

72.60

=

$

14.52

−−−−−−

←

add

$

87.12

tax

8

100

×

$

87.12

=

$

6.97

−−−−−

←

add

$

94.09

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