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igor_vitrenko [27]
4 years ago
9

10 of 10

Mathematics
1 answer:
icang [17]4 years ago
5 0

Answer:

Colin will have $1055.46 after 7 years.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

In this question:

P = 980, I = 0.011, t = 7

So

E = P*I*t

E = 980*0.011*7

E = 75.46

Total

T = E + P = 980 + 75.46 = 1055.46

Colin will have $1055.46 after 7 years.

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Answer:

x = 14.48

Step-by-step explanation:

first we have to see that we have the measurements from all sides

and we know that the angle between side 21 and 20 is 90 degrees

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

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let's take the left angle as α

sin α = 21/29

α = sin^-1 (21/29)

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Now we do the same with the smaller triangle

tan α = o/a

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0.724 * 20 = x

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x = 14.48

if we want to check it we can do the same procedure with the other angle

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Step-by-step explanation:

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Hence the solution for the given inequality is represented by  \[=>x\geq 4\]

This means that the original inequality will be true only for those values of x which are greater than or equal to 4.

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