Which expression is equivalent to 10a + 6? 10(a + 3) 2(5a + 3) 5(5a + 1) 10(a + 1)
2 answers:
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Answer:
From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days .
Step-by-step explanation:
Given as :
The principal for the first account = p = $100
The rate of interest = r = 5% compounded annually
The account gets double , so, Amount = A = $200
Let the time after which account gets double = t years
So<u>, From Compound Interest method</u>
Amount = Principal ×
As amount is double its principal
So, A = 2 × $100 = $200
Or, A = p ×
Or, $200 = $100 ×
Or, =
Or, 2 =
Taking Log both side
=
Or, 0.3010 = t
Or, 0.3010 = t × 0.0211
∴ t =
I.e t = 14.26
So, The time period to get account double is 14 years 26 days
<u>Again </u>
Amount = Principal ×
Or, A = p ×
As amount is double its principal
So, A = 2 × $1000 = $2000
Or, $2000 = $1000 ×
Or, =
Or, 2 =
Taking Log both side
=
Or, 0.3010 = t
Or, 0.3010 = t × 0.0211
∴ t =
I.e t = 14.26
So, The time period to get account double is 14 years 26 days
Hence From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days . Answer
Use the formula for secants in a circle. The formula for us in our situation is 
. Work within the parenthesis first to get 
. Do the multiplication now to get 
. Take the square root of that to get x = 242,967.076 miles or, according to how your answer is to be stated, 243,000 miles.