A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

1 answer:

4 0

Answer:Follow the given formula. The initial amount of money invested, P, becomes 2P (same thing as "doubles) after t years. Since compounding is quarterly, n=4. The annual interest rate is 12%. That is, r=0.12.

Then we have 2P = P (1 + 0.12/4)^(4t) and need only solve for time, t.

Simplifying the above equation: 2 = (1.03)^(4t)

We must isolate 4t, and then isolate t. To do this, take the common log of both sides of the above equation. We get:

log 2 = (4t) log 1.03. This gives us 4t = [log 2] / [log 1.03], or

4t = 23.4498

Dividing both sides by 4, we get t = 5.86 (years).

Step-by-step explanation: Mark me as brainliest

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A student has four sticks of wood that measures 3 inches, 4 inches, 5 inches, and 6 inches.Can the student use any three of thes

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Answer:

Yes, the student can use three of these sticks to make a right triangle.

Step-by-step explanation:

The measure of four sticks = 3 inches, 4 inches, 5 inches and 6 inches.

Now, in a right angled triangle, by PYTHAGORAS THEOREM the three sides of the triangle base, perpendicular and hypotenuse are in the given following relation :

$(Base)^{2} + (Perpendicular)^{2} = (Hypotenuse)^{2}$