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4 years ago

Find the value of an investment of $5000 at 7% compounded continuously for 6 years

Mathematics

1 answer:

Helga [31]4 years ago

8 0

Answer:

Option 4 is correct

Step-by-step explanation:

If the rate is compounded continuously, the formula used to find the future value is:

A= Pe^rt

Where A = Future Value

P= Principal amount

r = interest rate in decimal

t = time

For the given data:

A=?

P = $5000

r = 7% or 0.07

t = 6

Putting values in the above formula

A= 5000e^(0.07 *6)

A = 7609.81

So, Option 4 is correct.

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4 years ago

M2/n2 is equivalent to _____.

tankabanditka [31]

Answer:

$\frac{m^2}{n^2}$ is equivalent to $m^2 \cdot n^{-2}$

Step-by-step explanation:

Using exponent rules:

$a^{-n}=\frac{1}{a^n}$

Given the expression:

$\frac{m^2}{n^2}$

⇒ $\frac{m^2}{n^2} = m^2 \cdot \frac{1}{n^2}$

Apply the exponent rule, we have;

$m^2 \cdot n^{-2}$

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3 years ago

Which list of values is ordered from least to greatest? A. |-6|, 0, 2, -|-5| B. -|-5|, |-4|, 2, 5 C. -9, -|-2|, 0, |9| D. |-10|,

Jlenok [28]

Answer:

Step-by-step explanation:

A simplifies to 6, 0, 2, -5

B simplifies to -5, 4, 2, 5

C simplifies to -9, -2, 0, 9

D simplifies to 10, -4, 1, 7

Only C is ordered from least (-9) to greatest (9).

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3 years ago

If you stacked the cubes on top of each other to make an enormous tower, how high would they reach?

NARA [144]

Answer:

Is this an actual question

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3 years ago

A 10 ft tall statue standing next to a woman casts an 18 ft shadow. If the woman is 5 ft tall, then how long is her shadow? A 3

zepelin [54]

Answer

Find out the how long is woman shadow .

To prove

Let us assume that the height = x

Let us assume that the shadow = y

(As shadow increase with the increase in the height.)

$x\propto y$

x = ky

Where k is constant of proportionality.

As given

A 10 ft tall statue standing next to a woman casts an 18 ft shadow.

10 = k × 18

$k = \frac{10}{18}$

As given

If the woman is 5 ft tall .

Let us assume that the shadow of woman be s .

Put in the proprtionality equation .

5 = k × s

$k = \frac{5}{s}$

Compare the value of k .

$\frac{10}{18} = \frac{5}{s}$

$s = \frac{18\times 5}{10}$

s = 9 ft

Therefore the shadow of the woman be 9 ft .

Option (C) is correct .

8 0

4 years ago

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