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3 years ago

Is it true that the order when dividing three real numbers does not effect the answer?

Mathematics

1 answer:

leva [86]3 years ago

7 0

Changing the order may not affect the answer in some situation, however it's not a rule.

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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

A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax2 about the y-a

Blizzard [7]

Answer:

Step-by-step explanation:

See attached file .

7 0

3 years ago

The graph of an exponential function has a y-intercept of 7 and contains the point (4,112). Construct the exponential function T

blondinia [14]

The exponential function that describes the graph is $y=7\cdot 2^x$

The standard form of an exponential function is expressed as $y=ab^x$

a is the y-intercept

(x, y) is the point on the graph

Given the following expression

a = 7

(x, y) = (4, 112)

Substitute the given values into the exponential equation

$y = ab^x\\112=7\cdot b^4\\b^4 = \frac{112}{7}\\b^4= 16\\b =\sqrt[4]{16}\\b = 2$

Get the required exponential equation

Recall that $y=ab^x$ , hence the required equation will be $y=7\cdot 2^x$

Learn more here: brainly.com/question/19245707

3 0

2 years ago

Write the equation of a function whose parent function, F(x)=x+5,is shifted 3units to the right

eduard

Got this and not sure but best luck with your studying

6 0

3 years ago

Read 2 more answers

a clothing store office very often various promotions to attract customers but wants to maintain the same amount of profit to do

vova2212 [387]

Since 3 neckties will be out from the store, so you need to know how much is the cost of 3 ties.

$59.99 x 3 = $179.97 and divide it by two because the costumer will only pay for 2

$179.97 / 2 = $89.99 is the new price

Mark up = 89.99 – 59.99 = $30.00

% mark up = [(89.99/59.99) -1] * 100

= 50%

4 0

4 years ago