Answer:
22.95 kg
Step-by-step explanation:
Let's say the farm stand owner starts with x kg of apples.
During the first hour, he sells 15% of the apples:
0.15 x
This means he's left with 85% of the original apples. During the second hour, he sells 20% of the remaining apples:
0.20 (0.85 x)
= 0.17 x
He's sold a total of 15% + 17% = 32% of the apples, so he's left with 68% of the apples. Continuing the pattern, the apples sold during the third hour:
0.25 (0.68 x)
= 0.17 x
He's sold 49% of the apples and is left with 51%. The apples sold during the fourth hour:
0.30 (0.51 x)
= 0.153 x
If 0.17 x = 25.5, then x = 150. So the apples sold during the fourth hour is:
0.153 (150) = 22.95
Answer:
<em>It will take 14 years before the investment triples</em>
Step-by-step explanation:
<u>Continuous Compounding</u>
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:
Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:
Dividing by PV:
Taking logarithms:
Solving for t:
t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
Answer:
10
Step-by-step explanation:
PQ/QR = ST/TR
17.5/QR = 7/4
QR = (17.5 x 4)/7
QR = 70/7
QR = 10
Answer:
4275 i think
Step-by-step explanation:
Answer:
The correct answer is option (C)-0.245 = 2.160(0.205)
Step-by-step explanation:
Solution
Given that:
The slope = - 0.245
The size sample = n = 15
The standard error = 0.205
The confidence level = 95
The Significance level= α = (100- 95)% = 0.05
Now,
The freedom of degree = n-2 = 15 -2= 13
Thus,
the critical value = t* = 2.16
By applying Excel = [TINV (0.05, 13)]
The Margin of error is = t* (standard error)
=2.16 *0.205
= 0.4428
