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Salsk061 [2.6K]
2 years ago
13

3^-4 as a fraction, i need the exact value of this number as a fraction please and thank you :)

Mathematics
1 answer:
Musya8 [376]2 years ago
8 0

Answer:

\frac{1}{81}

Step-by-step explanation:

Using the rule of exponents

a^{-m} = \frac{1}{a^{m} } , then

3^{-4} = \frac{1}{3^{4} } = \frac{1}{81}

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Five years ago, you invested $475 in corporate stock. You received dividends of $10 at the end of each quarter for two years. Yo
RUDIKE [14]

The rate of return earned on the investment of $475 five years ago in the corporate stock is 312.63%.

<h3>What is the rate of return?</h3>

The rate of return is the net gain or loss of an investment expressed as a percentage of the investment's initial cost.

It is given by the formula,  R= {Vf - Vi}/{Vi} x 100.

Where:

R = Rate of return

Vf = final value, including dividends and interest

Vi = initial value

<h3>Data and Calculations:</h3>

Investment cost = $475

Dividends received:

1st two years = $80 ($10 x 8)

Three years = $180 ($15 x 12)

Total dividends received = $260 ($80 + $180)

Total revenue from sale = $1,700

Total proceeds = $1,960 ($1,700 + $260)

Total return = $1,485 ($1,960 - $475)

Rate of return = 312.63%  ($1,485/$475 x 100)

Thus, the rate of return is 312.63%.

Learn more about calculating the rate of return at brainly.com/question/14220025

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8 0
1 year ago
Hareem takes a medicine to control his blood pressure. he takes a 25 mg pill in the morning. suppose that 60% of the medicine is
Vikentia [17]

The recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be a_1=25, a_n = 0.60_{n-1} +25

Hence, option B is correct.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c

is one such recursive rule.

Hareem takes medicine to control his blood pressure.

he takes a 25 mg pill in the morning.

Suppose that 60% of the medicine is processed by hareem's body by the time he takes a second 25 mg pill in the evening.

So, the recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be;

a_1=25, a_n = 0.60_{n-1} +25

Hence, option B is correct.

Learn more about the recursive rule here:

brainly.com/question/12620593

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5 0
1 year ago
Someone help me with this question please.
frosja888 [35]

Answer:

Andre scored 14 points.

Equation: x = 14

Step-by-step explanation:

Let the number of points Andre scored be x.

Diego's points = x-9

Noah's points = (x-9) × 2

                       = 2x-18

Now, you know the exact value of Noah's points which is 10.

2x-18 = 10

Isolate the 2x.

2x = 10+18

    = 28

x = 28÷2

  = 14

4 0
3 years ago
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Equation for the points (3,8) (2,6) on slope
Irina18 [472]
\frac{8-6}{3-2} = \frac{2}{1}=4

The slope is 2

y=2x + b

Plug in a point to solve for b
8 = 2(3) + b

8 = 6 + b
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The equation is y = 2x + 2
7 0
3 years ago
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Evaluate the expression when r = 8.2 and s = –3.7.
kiruha [24]
When you plug in the numbers for the integers, you get
8.2-2(-3.7)
If you multiply -2 and -3.7, you get 7.4 because the negatives cancel each other out.
If you then add 8.2, you get 15.6. So the answer is D.
Hope it Helps!  :)
8 0
3 years ago
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