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Andreyy89
3 years ago
10

Solve by extracting roots. Round your answers to two decimal places.

Mathematics
2 answers:
Colt1911 [192]3 years ago
7 0
2.8a^2=55
a^2=55/2.8
a= square root of 55/2.8
Darya [45]3 years ago
6 0

Answer:

a = 2.62 or - 2.62 (2 d.p.)

Step-by-step explanation:

5a² - 2.2 a² = 85 - 30

2.8 a² = 55

a² = 55/2.8

a = +- sqroot(55/8)

a= 2.6220221204 or - 2.6220221204

a = 2.62 or - 2.62 (2 d.p.)

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lee has invested $2800 in a venture company. he receives 6.5% interest a year, compounded continuously. How long will it take hi
d1i1m1o1n [39]

Answer:

It'll take 10.6638 years to double his money.

Step-by-step explanation:

Since the invested capital is compounded continuosly we need to use the apropriate formula shown below:

M = C*e^(r*t)

Where M is the final value, C is the initial value, r is the rate of interest and t is the total time elapsed. In this case we want to  double our investment, since the amount invested was 2800, then we need to have a final value of 2*2800 = 5600. Applying these values to the formula:

5600 = 2800*e^(0.065*t)

2800*e^(0.065*t) = 5600

e^(0.065*t) = 5600/2800

e^(0.065*t) = 2

ln(e^(0.065*t)) = ln(2)

0.065*t = ln(2)

t = ln(2)/0.065 = 10.6638 years

It'll take 10.6638 years to double his money.

7 0
3 years ago
What is next letter? Y B W DUF
4vir4ik [10]
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5 0
3 years ago
Please help!!<br> 10 POINTS!!!<br> Find the measure of ∠ABC. Show your work.
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3 0
3 years ago
Read 2 more answers
Quick plz help &lt;3
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3 years ago
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