Answer:0.3 m
Step-by-step explanation:
Given
Ken can Jump 
Steve can Jump 
Converting mixed fraction into a fraction

The difference between their Jumps is

Steve Jumps 0.3 m more than ken
Answer:
It will take 27.19 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
, where
- A = the future value of the investment, including interest
- P = the principal investment amount (the initial amount)
- r = the interest rate of interest in decimal
- t = the time the money is invested for
∵ Steve deposits $1250 in an account
∴ P = 1250
∵ The account paying 3.4% annual interest compounded continuously
∴ r = 3.4%
- Change it to decimal by dividing it by 100
∴ r = 3.4 ÷ 100 = 0.034
∵ The account balance will reach to $3150.5
∴ A = 3150.5
- Substitute The values of A, P and r in the formula above to find t
∵ 
- Divide both sides by 1250
∴ 
- Insert ㏑ to both sides
∴ ![ln(2.5204)=ln[e^{0.034t}]](https://tex.z-dn.net/?f=ln%282.5204%29%3Dln%5Be%5E%7B0.034t%7D%5D)
- Remember that 
∵ 
∴ ln(2.5204) = 0.034t
- Divide both sides by 0.034
∴ 27.18875 = t
∴ t ≅ 27.19
It will take 27.19 years
R/ r+ 15 = 3/8
Cross multiply: top of one side multiplied by bottom of other side:
R x 8 = 3 x r+ 15
Simplify:
8r = 3r + 45
Subtract 3r from both sides:
5r = 45
Divide both sides by 5:
R = 9
Answer:
D.
Step-by-step explanation:
1) the domain is x∈[0;+∞);
2) the solution is:

3) finally, the solution with the domain is:
x∈[0;100].
X = number of cds on the rack
x + 7 = 30
x = 30 - 7
x = 23 <== so there are currently 23 cds on the rack