Answer:
It'll take 38.3 years to obtain the desired return of $25,000.
Step-by-step explanation:
In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:
(25000 + 8000) = 8000*e^(0.037*t)
33000 = 8000*e^(0.037*t)
e^(0.037*t) = 33000/8000
e^(0.037*t) = 4.125
ln[e^(0.037*t)] = ln(4.125)
t = ln(4.125)/(0.037)
t = 1.4171/0.037 = 38.2991
t = 38.3 years
Take a look at the picture and note that the same tick marks represent that they are congruent parts.
A. UV is parallel to JL. Yes, this is correct. They are parallel because they don't intersect at any point.
B. UW = 12KL. This is incorrect. The truth is, UW = (1/2)(KL). If this is a typo error and there should've been a '/' in between 1 and 2, then this is acceptable.
C. UW = VW. As you can see, UKVW is a rectangle. They have two pairs of congruent sides. And UW≠VW, so this is incorrect.
D. UV = UK. The diagonal of a rectangle is never equal with one of its sides. So, this is incorrect.
E. JK = 2VW. Since VW=UK and we can see that twice the length of UK is equal to JK, then this is correct.
There’s a whole bunch going on i don’t know what to help you with
10 grams. If it was less than 5 you would round it to 0, if it was 5 of more, you would round it up to 10
