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
Answer:
Step-by-step explanation:
U have to multiply 49 by 49 and then subtract 9
Answer:
50 minutes = B
Step-by-step explanation:
Andre can run 5 miles in 40 minutes
for 1 miles = 40/5 = 8 minutes
1 mile = 1.61 kilometres
x = 10 kilometres
x= (10x1)/1.61= 10/1.61 = 6.21miles
- for 1 miles = 40/5 = 8 minutes
- 6.21 miles = 8 x 6.21 = 49.689 minutes ≈ 50 minutes = B
Answer:
x=-5
Step-by-step explanation:
When finding x, we basically have to isolate the variable. By isolating the variable, usually doing the opposite operation helps it.
Addition is the opposite of Subtraction
Multiplication is the opposite of Division
Let's dive into this problem!
x+7=2
(we need to isolate x. basically we need to get rid of this 7. How do we do this? since it is added by seven, we can subtract it by both sides to get rid of it on the x side.)
x+7=2
-7 -7
x=-5
(subtract 2-(-5), this adds to -5)
This is your final answer.
Answer:
- 1008
- 3024
Step-by-step explanation:
1) The greatest common factor of 72 and 112 is 8, so the least common multiple is ... 72×112/8 = 1008.
The least common multiple of 72 and 112 is 1008.
__
2) The house number will be a multiple of 1008 between 3000/1008 = 2.98 and 4000/1008 = 3.96. The only integer in that range is 3, so Peter's house number is ...
3 × 1008 = 3024
Peter's house number is 3024.
