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2 years ago

Use the function below to find F(4).

Mathematics

1 answer:

Nostrana [21]2 years ago

8 0

Hello !

$F(x) = 5 \times ( \frac{1}{3} ) {}^{x}$

$F(4) = 5 \times ( \frac{1}{3}) {}^{4} = 5 \times \frac{1 {}^{4} }{3 {}^{4} } = 5 \times \frac{1}{81} = \frac{5}{81}$

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How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the int

s2008m [1.1K]

Answer: There is a difference of $ 1.0228.

Explanation: Given, initial amount or principal = $ 1000,

Time= 5 years and given compound rate of interest = $3.7%

Now, Since the amount in compound continuously,

$A= Pe^{rt}$ , where, r is the rate of compound interest, P is the principal amount and t is the time.

Here, P=$ 1000, t=5 years and r= $3.7%,

Thus, amount in compound continuously , $A=1000e^{3.7\times5/100}$

⇒ $A=1000e^{18.5}=1000\times 1.20321844013=1203.21844013$

Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013

now, Since the amount in compound quarterly,

$A=P(1+\frac{r/4}{100} )^{4t}$ , where, r is the rate of compound interest, P is the principal amount and t is the time.

Thus, amount in compound quarterly, $A=1000(1+\frac{3.7/4}{100} )^{4\times5}$

⇒ $A=1000(1+\frac{3.7}{400} )^{20}$

⇒ $A= 1202.19567617$

Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617

So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228

4 0

3 years ago

Read 2 more answers

PLEASE HURRY ITS DUE IN 20 MINUTES, I’ll GIVE EXTRA EXTRA POINTS

lisov135 [29]

26.60 if not

so sorry im also very small brain like u

8 0

2 years ago

Please help on this. I am confused.

neonofarm [45]

The answer is 2x^2-3x-2.

To solve this, you take f(x)-g(x) which is 2x^2-5-3x+3. This simplifies to 2x^2-3x-2.

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3 years ago

Hey please help me with this one.<br><br>- Find the value fd a

valkas [14]

Answer: a = 15

Step-by-step explanation:

6a + 10 = 3a + 55

Subtract 10 from both sides

6a = 3a + 45

Subtract 3a from both sides

3a = 45

Divide each side by 3

a = 15

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3 years ago

4. Two friends, Sequoia and Raven, sold organic chap sticks at the local market.

Nina [5.8K]

Answer:

Sequoia sold 2 chap sticks while Raven sold 4.

Step-by-step explanation:

Since two friends, Sequoia and Raven, sold organic chap sticks at the local market, and Sequoia sold her chap sticks for $ 4 and Raven sold hers for $ 3 each, and in the first hour, their total combined sales were $ 20, if in the first hour, the friends sold a total of 6 chap sticks between them, to determine the number of chap sticks each of the friends sold during this time the following calculation must be performed:

6 x 4 + 0 x 3 = 24

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2 x 4 + 4 x 3 = 20

Therefore, Sequoia sold 2 chap sticks while Raven sold 4.

7 0

2 years ago