Answer:
32
Step-by-step explanation:
The time it will take the principal to grow to the desired amount is 0.7 years
Using the compound interest formula :
A = P(1 + r/n)^(nt)
A = final amount = 225,000
P = principal = 180,000
r = rate = 3.12%
n = Number of compounding times per period = 12(monthly)
t = time
225000 = 180000(1 + (0.0312 /12))^(12t)
Divide both sides by 180000
225000/180000 = (1 + (0.0312 /12))^(12t)
1.25 = 1.026^12t
Take the log of both sides
0.0969100 = 0.0111473 × 12t
0.0969100 = 0.1337676t
Divide both sides by 0.1337676 to isolate t
0.0969100 / 0.1337676 = t
0.7244 years
0.7 years
It will take 0.7 years for the amount to grow
Learn more : brainly.com/question/21270833?referrer=searchResults
Yes, -0.5 is an integer because it is a negative number. Any number that is positive or negative is an integer.
Answer:
The second option, y + 2x = 10, is the correct answer for this problem.
Step-by-step explanation:
There are many different ways to solve this problem. I am going to pick a point represented in the table and plug its values into the given equations to find the correct response.
From the table, we can conclude that the point (0,10) must satisfy the equation. This means that if we plug in 0 for x and 10 for y into the equations below, we should get a true statement.
y - 2x = 14
10 - 2(0) = 14
10 = 14
Since 10 is not equal to 14, we know that the first option is incorrect.
y + 2x = 10
10 + 2(0) = 10
10 = 10
Therefore, the second option may be our answer, but we should make sure the other options are incorrect.
2y + x = 23
2(10) + 0 = 23
20 = 23
Since 20 is not equal to 23, we know that the third option is incorrect.
y + x = 11
10 + 0 = 11
Since 10 is not equal to 11, we know that the fourth option is also incorrect.
Since the second option is the only answer that yielded a true statement when a point from the table was plugged in, we can conclude that the second option (y + 2x = 10) is the answer. If you wanted to make sure, you could plug in each of the points represented in the table and confirm that they too make the equation true.
Hope this helps!
