Answer:
Approximately 22.97 years
Step-by-step explanation:
Use the equation for continuously compounded interest, which uses the exponential base "e":
Where P is the principal (initial amount of the deposit - unknown in our case)
A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)
k is the interest rate : 5% which translates into 0.05
and t is the time in the savings account to triple its value (what we need to find)
The formula becomes:
To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:
The answer should be A 160
Step-by-step explanation:
<em>Hi</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em><em> </em>
<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>option A</em><em>. </em>
<em>reason</em><em> </em><em>look</em><em> </em><em>in</em><em> </em><em>picture</em><em>.</em><em> </em>
<em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>to</em><em> </em><em>solve</em><em> </em><em>it</em><em> </em><em>just</em><em> </em><em>cross</em><em> </em><em>multiply</em><em> </em><em>it</em><em>,</em>
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<em>or</em><em>,</em>
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<em>and</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>would</em><em> </em><em>be</em><em> </em><em>4</em><em>0</em><em>0</em><em>0</em><em>0</em><em>0</em><em>.</em>
<em>Hope</em><em> </em><em>it helps</em><em>.</em><em>.</em><em>.</em>
let the numbers are x , x+1 ,x+2
∴ 6 [ x + (x+1) +(x+2) ] = 162
∴ x + (x+1) + (x+2) = 162/6 = 27
∴3x + 3 = 27
∴ 3x = 27 - 3 = 24
∴ x = 24/3 = 8
<u>So, the numbers are 8 , 9 , 10</u>
