You take the square roots √18²+32² = 36.7
Hope this helps.
Answer:
$962.82 will be in John's account after 8 years if compounded semiannually.
Step-by-step explanation:
The formula used to find the amount after 8 years is:
A = P(1+ r/n)^nt
Where A = future value
P= principal value
r = interest rate ( in decimals)
n = no of times interest is compounded
t = time
Putting the values:
P = $600
r = 6% = 0.06
n = 2
t = 8
A= 600 *(1+0.06/2) ^2(8)
A= 600 *(1.03) ^16
A =600*1.605
A = 962.82
So, $962.82 will be in John's account after 8 years if compounded semiannually.
Answer:
24x^2
Step-by-step explanation:
When expanded (x+2)^4= x^4+8x^3+24x^2+32x+16
The only term that matches with these is 24x^2
This problem is all about probability. It is the study of predicting the likelihood or chances of a certain event to happen out of all the possibilities. It is always expressed as a part of a whole. Therefore, the answer is either in fraction or in percentage.
A standard deck of card consists of 52 cards all in all. There are 13 diamond cards within the deck. So, the probability of getting a diamond card is 1/52. But we are given with a conditional probability. The first draw is sure to pick a diamond. So, the probability for this is 1 or 100%. But we should multiply this to the second scenario which is the 2nd draw. If you picked a card already, that means the total number of cards is 52 less 1. Also, because you already picked a diamond in the first draw, the diamond cards left in the deck is 13 less 1. Therefore, the probability of getting a diamond card in the second draw is
Probability = 1 × 12/51
Probability = 12/51
Answer:
22
Step-by-step explanation:
