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stira [4]
3 years ago
10

How much money, invested at an interest rate of r % per year compounded continuously, will amount to A dollars after t years? (R

ound your answer to the nearest cent.)
A = 300,000, r = 3.8, t = 18
Mathematics
1 answer:
Alex Ar [27]3 years ago
8 0

Answer: $151377.5 should be invested.

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

A = $300000

r = 3.8% = 3.8/100 = 0.038

t = 18 years

Therefore,

300000 = P x 2.7183^(0.038 x 18)

300000 = P x 2.7183^(0.684)

300000 = 1.9818P

P = 300000/1.9818

P = $151377.5

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3 years ago
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another rectangle has length and width in the ratio of 3:2. If the length is increased by eight and the width is increased by 50
Andreyy89

Answer:

Area of the new rectangle  = 148.8 cm square

Step-by-step explanation:

Let x be the dimensions of the rectangle then the

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If the length is increased by eight the new length would be 3x+ 8

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Perimeter of the new rectangle= 2(L+B)

                                                     = 2 ( 3x+8 +3x)

                                                       = 2 (6x+8)

                                                       = 12x + 16

Ratio of the new perimeter to the original perimeter is

             New perimeter :   Original perimeter

                8                      : 5

           12x+ 16                   : 10x cm

80x= 60x + 16

20x= 16

x= 16/20= 4/5

Putting the value of length and breadth in place of x

Area of the new rectangle = L*B =  3 * (4/5) +8 *3(4/5)=

                                                                 = 12+ 40/5 * 12/5

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                                                                     = 744/5

                                                                   = 148.8 cm square

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