The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
The amount of money gained after an investment is compounded is given by:

Where P is principal, A is the final amount, r is the rate, n is the number of times compounded per period and t is the time
Given that P = $1689, t = 4, r = 3% = 0.03, n = 1, hence:

The amount gotten after $1689 invested for 4 years at 3% compounded annually is $1901
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Answer:
D. 13
Step-by-step explanation:
54 ÷ 3 = 18 (your age in 5 years)
18 - 5 = 13 (your age now)
We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.
Then, we use direct substitution:
f(-4) = -(-4) - 5
f(-4) = -1
Answer:
0.84
Step-by-step explanation:
Use a calculator. That would be 0.84.
3*21
Note that 63/75 = ---------- = 21/25. Multiplying top and bottom by 4 results
3/25 in 0.84 (so this answer checks out ok)
ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

to rationalize the radical

Thus, each leg is 5\sqrt{2} [/tex].