4,11,7,14,10,17,.....?

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

bonufazy [111]

Answer:

Using the rule of 72, the doubling time is 9.35 years.

The exact answer is that the doubling time is 8.89 years.

Step-by-step explanation:

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 7.7%. So, by the rule of 72:

$D = \frac{72}{7.7} = 9.35$ .

Exact answer:

The exact answer is going to be found using the compound interest formula(since the rule of 72 is a simplification of this formula).

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

$A = 2P$

$r = 0.077$

There are 52 weeks in a year, so $n = 52$

$A = P(1 + \frac{r}{n})^{nt}$

$2P = P(1 + \frac{0.077}{52})^{52t}$

$2 = (1.0015)^{52t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.0015}(1.0015)^{52t} = \log_{1.0015} 2$

$52t = 462.44$

$t = \frac{462.44}{52}$

$t = 8.89$

The exact answer is that the doubling time is 8.89 years.

6 0

3 years ago

Based on lines 63-67 ("nobody . . . sheep"), the author

serious [3.7K]

(C) "having a deep fondness for border collies and therefore overestimating them"

While acknowledging that "dogs may be noble, charming, loyal, and dependable," the author of Passage 1 speculates that they might not have "earned those extra intellect points." In contrast, the author's admiration for dogs may lead one to believe that the depiction of "pure intelligence shining in the face of a border collie" in lines 63–67 is exaggerated.

The answer is not (A). Passage 1's author would probably assume that Passage 2's author has a strong emotional bond with dogs. (B) is the wrong answer. The subjective assessment of canine intellect is shown in lines 63–67. They don't imply that the author of Passage 2 has in-depth understanding of the relevant studies.

The answer is not (D). Despite the fact that the author of Passage 2 appears to prefer personal experience over the findings of scientific investigations, lines 63–67 do not demonstrate any scorn for "traditional" research. The answer is not (E).

It would be harsh to assert that the author of Passage 2 has a limited understanding "of what constitutes intelligence" despite the fact that the two authors may hold different opinions on the degree to which dogs are able to reason.

Here's another question with an answer similar to this about dogs:

brainly.com/question/18951741

#SPJ4

5 0

1 year ago

What does 0.2 in the highlighted cell mean?

jarptica [38.1K]

Answer:

Step-by-step explanation:

Answer:

Option B. 20% of her customers ordered appetizer but no dessert.

Step-by-step explanation:

We have to analyze a track report of the customers who ordered an appetizer and dessert.

In this track report highlighted cell is 0.2 which shows appetizer ordered with no order of dessert.

Therefore 0.2 means 20% of the customer ordered an appetizer but no dessert was ordered.

Option B. is the answer.

7 0

2 years ago

Read 2 more answers

. A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party. The table

netineya [11]

Answer:

42

Step-by-step explanation:

i said so

3 0

3 years ago

Read 2 more answers

Every delivery order from a pizzeria has a delivery charge of $1.50. How many dollars b is the total bill for a delivery of one

Charra [1.4K]

Answer:

p+1.50=b

Step-by-step explanation:

Hope it helps (;

7 0

3 years ago