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3 years ago

5

Last year, 140 people in a community had cell phones. This year, the number of people in the community with cell phones has incr

eased by 65%

1 answer:

Murljashka [212]3 years ago

6 0

the number has been increased by 79

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Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

<u>Separate the solutions</u>

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

3 years ago

What is the probability that the wine cooler would be less than 45 degrees

katrin [286]

Idk
At least 20 characters to explain it well.

4 0

3 years ago

Calculate the distance the train will travel in 3/4 hour.

polet [3.4K]

Answer:

what is the speed of the train? if that is miles per hour just figure out what 75% is of that number

Step-by-step explanation:

3 0

3 years ago

1000 was invested at 5.5% interest, compounded annually. After sometime the amount had grown to 1550. How long was the money inv

scZoUnD [109]

compound interest equation for annually compounded

$A=P(1+r)^t$

A=final amount

P=principal

r=rate in decimal

t=time in years

given that

A=1550

P=1000

r=5.5%=0.055

find t

$1550=1000(1+0.055)^t$

divide both sides by 1000

$1.55=1.055^t$

take ln of both sides

$ln(1.55)=ln(1.055^t)$

use ln rule $ln(a^b)=b(ln(a))$

$ln(1.55)=t(ln(1.055))$

divide both sides by ln(1.055)

$\frac{ln(1.55)}{ln(1.055)}=t$

using a calculator, we get that t=8.18544 yrs

so about 8.2yrs

4 0

3 years ago

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

PIT_PIT [208]

Answer:

(-2, -9)

explanation:

original coordinates of B: (7, 9)

use the formula: (x, y) ---> (x, -y)

if reflects over x-axis new coordinates: (7, -9)

If horizontally shifted there will be change in x axis,

new coordinates (7-9,-9) → (-2, -9)

6 0

3 years ago