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Black_prince [1.1K]
3 years ago
6

The formula A = Pe^rt calculates the amount an investment earning a nominal rate of r compounded continuously is worth. Show tha

t the amount of time it takes for the investment to double in value is given by the expression ln2/r.
Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

t = In2/ r

Step-by-step explanation:

Given the formula : A = Pe^rt

For investment to double ;

Final amount (A) = 2 * initial investment (p)

A = 2p

Hence,

2p = pe^rt

2 = e^rt

Take the In of both sides

In2 = rt

Divide both sides by r

In2 /r = rt /r

In2/ r = t

t = In2/ r ; Hence, the proof

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The statement about the given expression is described below.

<h3>What is expression?</h3>

A math expression consist numbers, variables and operators its operation addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are considered as terms.

<h3>According to given data:</h3>

Expression, (a+b+c)(d+e+f)(a+b+c)(d+e+f) = (a +b+c)^2(d+e+f)^2

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6 0
1 year ago
7. The cost of renting the party room for 10 people is $117.50. The cost of renting the room is $151.25 for 15 people. Write an
Viktor [21]

Answer:

C = 6.75n + 50

Step-by-step explanation:

The equation for the cost of renting the party room can be written in the form;

C= mn+k ......i

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Substituting the 2 cases into the equation we have,

Case 1

117.5 = 10m + k ......1

Case 2

151.25 = 15m + k .....2

Subtracting eqn 1 from 2 we have

151.25 - 117.50 = 15m - 10m

5m = 33.75

m = 33.75/5 = 6.75

Substituting m = 6.75 into eqn 1, we have

117.50 = 10(6.75) + k

k = 117.5 - 67.50

k = 50

Therefore, rewriting the eqn i, we have

C = 6.75n + 50

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3 years ago
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Answer:

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1     -  95     - 130

2    -   90    - 120

3   -    85    -  110

4    -   80    -   100

5    -  75    -   90

6  -    70   -    80

7  -    65    -   70

8 -     60   -    60

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