22.8 gms
Step-by-step explanation:
Step 1:
Given,
Mass of the element = 590 gms
Percentage decay per minute = 19.5%
Step 2 :
Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805
Hence the fraction of element remaining after 15 minutes = 
= 0.03863
So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram
mass of the element remaining after 15 minutes = 22.8 gms
The answer is :
17:34
Explanation:
1 + 2 =3
51 /3 = 17
17 x1 =17
17 x 2 =34
he tuition of $3,200 increased by 5% is: 3,200 + 0.05*3,200 = 1.05*3,200 = $3,360
Elizabeth saved equal amounts each month for 12 months the previous year thus we divide $3,360 by 12 to find how much she saved monthly:
$3,360 : 12 = $280
The minimum amount Elizabeth should have saved monthly is $280.
a. Notice that
1/(1*2) = 1/2 = 1 - 1/2
1/(2*3) = 1/6 = 1/2 - 1/3
1/(3*4) = 1/12 = 1/3 - 1/4
and so on, which suggests the n-th term of the sum can be written as
Then the sum itself is telescoping:
b. The proof is trivial:
so the formula found in (a) is correct.
