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2 years ago

Plz help me my teacher has been gone on military leave and I'm totally lost

Mathematics

1 answer:

Degger [83]2 years ago

6 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~

The Domain: F

The Range: A

X-intercept: C

Y-intercept: D

the functional value: G

Increasing: B

Decreasing: E

Constant: H

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23 20' 48" is the same as _____. <br><br> Round to the nearest hundredth of a degree.

pentagon [3]

23° 20' 48" in degrees

Minutes are 1/60 of a degree and seconds 1/60 of a minute.

Let's convert the 48" to minutes.
48/60 = 0.8

23° 20' 48" ⇒ 23° 20.8'

Let's convert the 20.8' to degrees.
20.8/60 ≈ 0.3466667

23° 20.8' ⇒ 23.35°

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2 years ago

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2 years ago

Solve kx + 8 = 4 for x.

Harlamova29_29 [7]

K×x+8=4
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3 years ago

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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

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.

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3 years ago

Select the factors of x2 - 4x + 2y - 8

cricket20 [7]

None of the factors shown will give you the above number. In order to get the numbers that are on top, you would need two x's being multiplied by each other to get the x^2 value. Since none of the options have that, it is impossible to achieve that.

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3 years ago