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3 years ago

Factor the trinomial below.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

3 0

Answer:

Step-by-step explanation:

yes, we need two numbers that multiplied with each other results in -48.

that means already that one of them has to be positive and the other negative.

that gives us (with all +/- alternating sign combinations)

2 and 24

3 and 16

4 and 12

6 and 8

to pick from there we see that the "middle" term is -2x.

that means that the absolute value of the negative number has to be 2 more than the positive number (so that when adding the intermediate multiplication terms we end up with -2x).

the only choice is therefore 6 and -8.

and that makes B the right answer.

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Shanice invests $5,887 in a retirement account with a fixed annual interest rate of 4% compounded 12 times per year. How long wi

qwelly [4]

Answer:

It takes 14 years for the account balance to reach $10,296.62

Step-by-step explanation:

Given:

Principal amount = $5,887

Rate of interest = 4% and 12 times per year

Balance amount = $10296.62

To find:

The time to reach $10,296.62 = ?

Solution:

We know that

$N(t) = N_0e^{rt}$

Here,

N(t) = 10,296.62

$N_0$ = $5,887

r = 4 % = 0.04

we have to find the t value

On substituting the given values

$10,296.62 = 5,887e^{0.04t}$

Taking ln to remove e we get

ln $ln(10,296.62) = ln(5887)({0.04t)$

$ln(\frac{10296.62}{5887}) = 0.04t$

ln(1.749) = 0.04t

$t = \frac{ln(1.749)}{0.04}$

$t =\frac{ 0.5590}{0.04}$

t = 13.97

t = 14

4 0

3 years ago

The distance that an object falls from rest, when air resistance is negligible, varies directly as the square of the time that i

eimsori [14]

Since the distance varies directly as the square of time, then its expression looks like this:

$d\text{ = k}\cdot t^2$

Where d is the distance, "k" is the proportionality constant and t is the time the object is falling. We know that after 6 seconds the stone travels 304 feet. With this information we can determine the value of "k".