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
83-13 = 70
70/2 = 35
Thomas’s mileage is 35 miles
Answer:
19/24
Step-by-step explanation:
Z-2/3=1/8
Z=1/8+2/3
Z=3/24+16/24
Z=19/24
Answer: p = -2w + 20
<u>Step-by-step explanation:</u>
If the student had 20 pencils but now has 18 pencils, he uses pencils at a rate of 2 per week. So, m = -2 (negative because he is decreasing the amount of pencils). The student started with 20 pencils so b = 20
Use the y = mx + b but replace "y" with "p" and replace "x" with "w" and input the m and b as stated above:
p = -2w + 20
Answer:
8
Step-by-step explanation:
∛512=∛(8^3)=(8^3)^(1/3)=8