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otez555 [7]
3 years ago
14

For a large batch of cupcakes the robots use 1/5 of gallon of milk. they pour it into 2 separate measuring cups each the same si

ze. how much milk goes into each measuring cup?
Mathematics
1 answer:
vodomira [7]3 years ago
6 0
<span>1/10 milk goes into each cup because 1/5 x 2 is 2/10 and 2/10 divided by 2 is 1/10 and that is your answer....Hope this helps!!!</span>
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amount is 1000 × e^{0.08t}

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rate 14.97 %  when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

Step-by-step explanation:

principal = $1000

rate = 8 % = 0.08

to find out

the future value, S(t)

principal when Donna's account will be 1 million dollars when she retires in 40 year

at what rate Donna's account will have a balance of 1 million dollars in 40 years

solution

we know compounded continuously formula i.e.

amount = principal × e^{rt}    ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × e^{rt}

amount = 1000 × e^{0.08t}

in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1  to find principal

rt = 0.08 × 40 = 3.2

amount = principal × e^{rt}

1000000 = principal × e^{3.2}

principal = 1000000 / e^{3.2}

principal = 1000000 / 24.5325302

principal = 40762.20397

so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate

amount = principal × e^{rt}

1000000 = 2500 × e^{40r}

take ln both side

ln e^{40r} =  ln (1000000 / 2500 )

40 r = ln 400

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r = 0.149787

so rate 14.97 %  when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

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3 years ago
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