All categories

3 years ago

Emily decided to take up Weightlifting she thought it would be

Mathematics

1 answer:

melisa1 [442]3 years ago

8 0

Answer:

Common Ratio = 2

Step-by-step explanation:

Emily started with 12 lb at start.

She will double each day

So,

2nd day she will take up weight = 12 * 2 = 24

3rd day she will take up weight = 24 * 2 = 48

and so on

This is a geometric sequence, which is a sequence where each term is found by multiplying the previous term by a constant which is known as the common ratio.

Here, we are multiplying by "2" to get the next term, so we an say the common ratio is "2".

<u>Answer: Common Ratio = 2</u>

You might be interested in

Which is the most convenient placement of an isosceles triangle in the coordinate plane for finding the side lengths?

Usimov [2.4K]

Answer:

The bottom left

Step-by-step explanation:

5 0

3 years ago

Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify

kipiarov [429]

Answer:

The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant $\pi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

$C=\pi D$

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant $\pi$

3 0

3 years ago

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

Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

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 9%. So, by the rule of 72:

$D = \frac{72}{9} = 8$ .

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

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

In which 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.

is double the initial amount, double the principal.

$A = 2P$

$r = 0.09$

The interest is compounded anually, so $n = 1$

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

$2P = P(1 + \frac{0.09}{1})^{t}$

$2 = (1.09)^{t}$

Now, we apply the following log propriety:

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

So:

$\log_{1.09}(1.09)^{t} = \log_{1.09} 2$

$t = 8.04$

The exact doubling time of this amount is 8.04 years.

4 0

3 years ago

Please answer correctly !!!!!!!!!!! Will mark 50 points brainliest !!!!!!

Ket [755]

Answer:

In your console (ctrl + shift + j), the letter a would appear. Beneath that, the letter c would appear.

Step-by-step explanation:

This is because the val2 is not less than or equal to 3. The second condition that's inside the first condition is true but since the first condition is false, the second condition would not run.

3 0

2 years ago

The coordinates of F are (10,5). The coordinates of G are (-8,11). Find the midpoint of F G. Write your answer as an ordered pai

vova2212 [387]

Answer: (1, 8)

Step-by-step explanation:

6 0

3 years ago