The range of y=e^x+1 is y>1.
Answer:
7 years
Step-by-step explanation:
A = P (1 + r)^(n)
where A is the final amount, P is the initial amount, r is the interest rate, and n is the number of times of compounding.
Compounded quarterly means compounded 4 times per year. So the effective interest rate per compounding is:
r = 0.07 / 4
r = 0.0175
Given that A = 8000 and P = 5000:
8000 = 5000 (1 + 0.0175)^n
1.6 = 1.0175^n
log 1.6 = n log 1.0175
n = (log 1.6) / (log 1.0175)
n ≈ 27.1
Rounding up to the nearest whole number, it takes 28 compoundings. Since there's 4 compoundings per year:
t = 28 / 4
t = 7
It takes 7 years.
Numbers I think I'm not that smart
Answer:
Step-by-step explanation:
Let the distance be d and average speed be v.
Half of the distance the speed was 2/3v
Let the speed be xv in the second half of the distance.
<u>Then time is:</u>
- d/v = d/2 : (2/3v) + d/2 : (xv)
- d/v = 3/4(d/v) + (1/2x)(d/v)
- 1 = 3/4 + 1/2x
- 1/2x = 1 - 3/4
- 1/2x = 1/4
- 2x = 4
- x = 2
The rest of the road car has to ride with speed of 2v
Answer:
14,130 cm³
Step-by-step explanation:
V = 4/3πr³
= 4/3 x 3.14 x 15 x 15 x 15
= 20 x 225 x 3.14
= 706.5 x 20
= 14,130 cm³
