Answer:
39 sq cm
Step-by-step explanation:
Ok. Since ΔAED is isosceles, then the height of the trapezoid is 3 cm
One base is 16 and the other base is 16 - 3 - 3 = 10.
A = 1/2 h( +
) where
and
are lengths of the bases
A = 1/2(3)(10 + 16)
= 1/2(3)(26)
= 39 sq cm
Answer:
Step-by-step explanation:
The given function is
To find the inverse of this function, we interchange x and y.
we now solve for y.
Take the sine inverse of both sides to obtain;
Hence the inverse of the given function is;
where
Answer:
It will take about 35.439 years to triple.
Step-by-step explanation:
Recall the formula for continuously compounded interest:
where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).
Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:
Now,in order to solve for "t" (which is in the exponent, we use logarithms: