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:



Answer:
x + 5y = 0
Step-by-step explanation:
y = mx + b
y = -1/5 x + b
1 = -1/5 (-5) + b
1 = 1 + b
b = 0
y = -1/5 x
5y = -x
x + 5y = 0
Answer:
<h2><em><u>120</u></em><em><u> </u></em><em><u>square</u></em><em><u> </u></em><em><u>units</u></em><em><u> </u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
Base of the parallelogram = 10
Height of the parallelogram = 12
<em><u>Therefore</u></em><em><u>, </u></em>
Area of the parallelogram = <em>base</em><em> </em><em>×</em><em> </em><em>height</em><em> </em>
= 10 × 12
= 120
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>Area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>parallelogram</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>120</u></em><em><u> </u></em><em><u>square</u></em><em><u> </u></em><em><u>units</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
The answer for that problem is z =12+6