There were 10 students in a teacher's classroom. The next week, there were 17 students. What is the percent increase

How to Become a Millionaire Upon graduating from col- lege, Donna has no initial capital. However, during each year she makes de

lesantik [10]

Answer:

amount is 1000 × $e^{0.08t}$

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

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

r = ln (400) / 40

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

5 0

2 years ago

there are six muffins in a package how many packages will be needed to feed 48 people if each person has two muffins

wolverine [178]

Answer:

16 packages of muffins

Step-by-step explanation:

1) First you need to find out how many muffins you need total. If each person has two muffins and there are 48 people, how muffins would that be? To find out, multiply 48 and 2 together.

48 * 2 = 96

So now we know that we must have 96 muffins in total

2) Now we have to find out how many muffin packages we will need. If there are 6 muffins in each package and we need to have 96 muffins in total, how many packages will we need? To find out, divide 96 by 6.

96/6 = 16

From this we know that you will need 16 packages

3 0

3 years ago

Read 2 more answers

Exponents how do you do them

konstantin123 [22]

3 to the power of 5

you multiply 3 times 5 instead of 3 times 3 times 3 times 3 times 3
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7 0

2 years ago

Read 2 more answers

Shannon poured 1 1/2 a punch into each of 5 glasses. how much total punch in cups did Shannon pour?

Arlecino [84]

Answer:

7 1/5

Step-by-step explanation:

You said that she poured 1 1/5 pouches in each cup. There are 5 cups, so multiply 1 1/5 by 5.

(e.g)

1 1/5+1 1/5= 3 because 1+1=2 & 1/2+1/2=1 so you add them and get 3

Do that twice and you get 6

then you have 1 one more cup left so add 1+6=7 then add the half 7+1 1/2=7 1/2

Your Welcome

6 0

3 years ago

For every truck a police officer encounters she writes down T, for every car C, for every van V, and for every vehicle that is n

Kruka [31]

Answer:

5 = T

8 = C

3 = V

3 = O

which means its other because it said it is not a car, truck or van so its other meaning O

O = other

Answer: O

Step-by-step explanation: Theirs really nothing to it just pay attention to the hint :)

4 0

3 years ago