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3 years ago

How much would $500 invested at 8% interest compounded continuously be

Mathematics

1 answer:

Vlad [161]3 years ago

5 0

Answer:

$\$635.62$

Step-by-step explanation:

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=3\ years\\ P=\$500\\ r=0.08$

substitute in the formula above

$A=\$500(e)^{0.08*3}$

$A=\$635.62$

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Relation sheep between the value of 6s in 6600

forsale [732]

The first 6 is equal to 6,000. The second 6 is equal to 600. 6,000 is 10 times greater than 600.

Hope this Helps!

3 0

3 years ago

Read 2 more answers

Simplify -3p3 + 5p + (-2p 2) + (-4) - 12p + 5 - (-8p3). Select the answer in descending powers of p.

BigorU [14]

-3p^3 + 5p -2p^2 - 4 - 12p + 5 + 8p^3
5p^3 - 2p^2 - 7p + 1

It is the second choice

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3 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

olga_2 [115]

Answer:

$7\pi cm^2$

Step-by-step explanation:

The area of a circle is given by $A=\pi r^2$

For circle B, the radius is 3 cm, it has an area of $\pi *3^2=9\pi cm^2$

Circle D also has a radius of 1 cm. Its area is $\pi *1^2=\pi cm^2$

Circle P also has a radius of 1 cm and area $\pi*1^2=\pi cm^2$

The area of the shaded region is then $9\pi -\pi-\pi=7\pi cm^2$

5 0

3 years ago

Solve1 over 25 = 5^x ^+ 4. x = -7/2 x = −6 x = 9/2 x = 2

Basile [38]

The equation seems to be

   1
-------- = 5 ^ (x + 4)
25

In that case, this is the solution, stept by step:

1) factor 25: 25 = 5^2

      1
=> ----------- = 5^(x + 4)
       5^2

2) invert 5^2

=> 5^(-2) = 5^(x+4)

3) Given that the bases are equal, the exponents also have to be equal:

=> - 2 = x + 4

3) transpose +4:

=> - 2 - 4 = x

=> x = - 6

Answer: - 6

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3 years ago

Negative three times negative two plus eight

Dmitriy789 [7]

Answer:

14

Step-by-step explanation:

Expression: Negative × Negative + Positive

Product: Positive 

Answer: (-3 × -2) + 8 .

6 + 8 = 14

14

4 0

2 years ago