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3 years ago

Find the roots of the factored polynomial.

Mathematics

1 answer:

DanielleElmas [232]3 years ago

8 0

Answer:

x = {- 4, 4}

Step-by-step explanation:

factored polynomial is: (x–4)(x+4)

Let (x–4)(x+4) = 0

$\therefore \: (x - 4)= 0 \: or \: (x+4) = 0 \\ \therefore \:x = 4 \: \: or \: \: x = - 4 \\ \therefore \:x = \{ - 4, \: \: 4 \} \\ are \: the \: required \: roots.$

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Joaquin is the x amount

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3 years ago

Read 2 more answers

A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,

Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

$I=C(1+\frac{r}{n})^{nt}-C$

where

C = Amount of the credit granted

r = nominal interest per year

n = compounding frequency

t = the length of time the interest is applied. In this case, 1 year.

In the special case the interest rate is compounded continuously, the interest is given by

$I=Ce^{rt}-C$

(a) Annually

$I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)$

The effective annual rate is 18.6%

(b) Monthly

There are 12 months in a year

$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

There are 365 days in a year

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

(d) Continuously

$I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)$

The effective annual rate is 20.44%

3 0

3 years ago

Car is driving at 30 kilometers per hour. How far in meters does it travel in 3 seconds?

Alenkasestr [34]

Answer:

25 meters

Step-by-step explanation:

30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)

30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second

30 km/hr = 8.3333333333 m/s (approximate)

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The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,

distance = rate*time

d = r*t

d = 8.3333333333 * 3

d = 24.9999999999

Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.

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3 years ago

On a map, the distance between two towns is 3.4 inches. The map scale is 2 inches: 25 miles. What is the actual distance between

Mariulka [41]

For this question we can solve it by setting up a proportion:

$\frac{2inches}{25 miles}= \frac{3.4inches}{x}$

Now we can solve for x to find the total distance between the towns. Let's cross multiply and solve for x:

$2x=85$
$x=42.5miles$

So now we know that the total distance between the towns is 42.5 miles.

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3 years ago

How many terms are in the following expression? x2+7x-13

Oduvanchick [21]

Answer:

There are 3 terms

Step-by-step explanation:

3 0

2 years ago