Answer:
3.3 years
Step-by-step explanation:
Let the price of the house when it is being sold be = x
The Annual return received from the fund after a year that house is being sold is : A - P
where ;
P = current market price
A = price after one year
A is given by the formula:

where ; P = x
r = 8.5% = 0.085
n = 12
t = 1


A = 1.08839 x
The annual return is A - P = 1.08839 x - x
= 0.08839x
However, the house should be sold when this return is equivalent to the annual increase in value of the house
∴ 0.08839x = 31250

Thus , the current price (x) = $353546.78
Profit till that time = Current price - Initial Price
= (353546.78- 250000)$
= $103546.78
The time taken for this much profit to accumulate = 
= 
= 3.3135
≅ 3.3 years ( to one decimal place)
Answer:
15 students walk to school
Step-by-step explanation:
42 - total students
42 - 23 = 19
----
23 girl students
19 male students
----
19 - 6 = 13
13 - 2 = 11
--
11 - 7 = 3
3 + 2 = 5
--
10 girls walk to school
5 boys walk to school
--
10 + 5 = 15
Answer:
Step-by-step explanation:
Find the required water volume using the volume of prism formula
- V = lwh
- V = 10*5*2 = 100 m³
Find the time required
Answer:
A point estimate for the true population proportion is
and the 90% confidence interval is (0.8025, 0.8575)
Step-by-step explanation:
We have a large sample of people of size n = 506. Let X be the random variable that represents the number of adults who feel that education is one of the top issues facing California. We are interested in the unknown true proportion p of adults who feel that education is one of the top issues facing California. A point estimate for the true population proportion is given by
= X/n = 418/506 = 0.83, the standard deviation is given by
. Therefore, the 90% confidence interval for the true population proportion is
, i.e.,
, i.e.,
, (0.8025, 0.8575).
Answer:
third side = 9
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x, then
x² + 40² = 41², that is
x² + 1600 = 1681 ( subtract 1600 from both sides )
x² = 81 ( take the square root of both sides )
x =
= 9
The third side is 9