24 because she already completed four and if she completes twelve more that that will be 24 hope that helps
To determine the number of years to reach a certain number of population, we need an equation which would relate population and the number of years. For this problem, we use the given equation:
<span>P=1,000,000(1.035)^x
We substitute the population desired to be reached to the equation and evaluate the value of x.
</span>P=1,000,000(1.035)^x
1400000=1,000,000(1.035)^x
7/5 = 1.035^x
ln 7/5 = ln 1.035^x
x = ln 7/5 / ln 1.035
x = 9.78
Therefore, the number of years needed to reach a population of 1400000 with a starting population of 1000000 would be approximately 10 years.
Answer: 1.5
Step-by-step explanation:
Answer: 33/35?
Step-by-step explanation:
Given:
Flights: 4 points per dollar
Hotels: 2 points per dollar
Other: 1 point per dollar.
Total spent = $9,480
Points earned = 14,660
Let
x = money spent on flights
y = money spent on hotels
z = money spent on other purchases.
Because the money spent on flights was $140 more than twice the money spent on hotels, therefore
x = 2y + 140 (1)
Total charges were $9,480, therefore
x + y + z = 9480 (2)
Total points earned was 14,660. Therefore
4x + 2y + z = 14660 (3)
Subtract (2) from (3).
4x + 2y + z - (x + y + z) = 14660 - 9480
3x + y = 5180 (4)
Substitute (1) into (4).
3(2y + 140) + y = 5180
7y + 420 = 5180
7y = 4760
y = 680
From (1), obtain
x = 2y + 140 = 2*680 + 140 = 1500
From (2), obtain
z = 9480 - (x + y) = 9480 - (1500 + 680) = 7300
Answer:
$1,500 was spent on flights,
$680 was spent on hotels,
$7,300 was spent on other purchases.
