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ExtremeBDS [4]
4 years ago
5

According to the rule of 72, if the GDP of the Apex Federation is growing at 1.3% per year, its economy will double in approxima

tely how many years?
Mathematics
2 answers:
KIM [24]4 years ago
7 0

Answer:

Approximately 55 years.

Step-by-step explanation:

Since, according to the rule of 72,

An amount is doubled when the product of time ( In years ) and the annual interest rate ( in percentage ) is 72.

Here, the annual rate of interest = 1.3 %,

Let after t years the economy will be doubled,

Thus, by the above rule,

1.3 t=72

t=55.3846154\approx 55

Thus, after 55 years ( approx ) the economy will be doubled.

Lorico [155]4 years ago
5 0

Answer:

38 years

it was right for me

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Suppose that in a normal half hour of practice, a tennis player expends 280 calories of energy.
sertanlavr [38]

Answer:

308 Calories

Step-by-step explanation:

So we start off with 280 as usual, but I will focus on the percent. The given percent is 110% "effort". What we would need to do here is, Firstly, change the percent into a decimal, and this is done by moving the decimal spot of 110%. What I mean is that 110.% and you move that little period over 2 times to the left and also remove the percent as for now because we will not need it. After that you would get 1.10. This is what we will multiply by. So if we did 280x1.10 it equals 308, and that is how I got 308

Hope this helps!

4 0
3 years ago
Describe the solutions of 5
djyliett [7]

Answer:

A value, or values, we can put in place of a variable (such as x) that makes the equation true.

Example: x + 2 = 7

When we put 5 in place of x we get: 5 + 2 = 7

5 + 2 = 7 is true, so x = 5 is a solution

6 0
3 years ago
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 73 minutes and a standard devi
Vesnalui [34]

Answer:

(a) X\sim N(\mu = 73, \sigma = 16)

(b) 0.7910

(c) 0.0401

(d) 0.6464

Step-by-step explanation:

Let <em>X</em> = amount of time that people spend at Grover Hot Springs.

The random variable <em>X</em> is normally distributed with a mean of 73 minutes and a standard deviation of 16 minutes.

(a)

The distribution of the random variable <em>X</em> is:

X\sim N(\mu = 73, \sigma = 16)

(b)

Compute the probability that a randomly selected person at the hot springs stays longer than 60 minutes as follows:

P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-73}{16})\\=P(Z>-0.8125)\\=P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays longer than an hour is 0.7910.

(c)

Compute the probability that a randomly selected person at the hot springs stays less than 45 minutes as follows:

P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly selected person at the hot springs stays less than 45 minutes is 0.0401.

(d)

Compute the probability that a randomly person spends between 60 and 90 minutes at the hot springs as follows:

P(60

*Use a <em>z</em>-table for the probability.

Thus, the probability that a randomly person spends between 60 and 90 minutes at the hot springs is 0.6464

6 0
3 years ago
Which of the following is true?
gtnhenbr [62]

Answer:

C..... I think it is a answer

6 0
3 years ago
There are 12 face cards in a standard deck of 52 cards. How many ways can you arrange a standard deck of 52 cards such that the
evablogger [386]

Answer:

Total number of required ways = 12 × 51!

Step-by-step explanation:

Number of total cards in the deck = 52

Number of face cards in the deck = 12

Now, we need to find the number of ways such that the first card is always a face card

Now, first card is face card so number of cards left to be arranged = 52 - 1 = 51

Number of ways to arrange 51 cards = 51!

Also, Number of face cards = 12

So, Total number of required ways = 12 × 51!

8 0
3 years ago
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