Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that
, and thus:



Time for the balance to triple?
This is t for which
. So







It takes 22.52 years for the balance to triple in value.
Answer: $53.84
Step-by-step explanation: 3500 divided buy 65
Ok, you can refer to the midpoint formula to find the endpoint. Here goes...
MP=(2,-7) and EP=(8,-5)
Let x represent the missing endpoint.
(8+x)/2=2 NOTE: =2 represents first number of MP and the representation of number 8 is self explanatory. You have two endpoints but need to identify the other endpoint so you divide by 2. Then, multiply by two on both sides.
2(8+x)/2 = 2*2
16+x/2=4 do the next step (simplify) on the left side of equation 16x/2=8
Now, subtract 4-8=-4 So, the x coordinated of the missing endpoint is -4.
Hmmmm is not very clear if the 25% is just 25% of the original price, or of the reduced price, but let's assume is of the reduced price.
say the original price is "x", 20% off that, means the sale price is 80% of the original price, or (80/100) * x, or 0.8x.
then Linz shows up on the last day, and she's got 25% off from that price plus a beanie baby and a free garden hose.
so if the price is reduced by 25%, then the sale price is just 75% of whatever it was, but it was already reduced to 0.8x, what is 75% of 0.8x?
(75/100) * 0.8x, or 0.75 * 0.8x, which is 0.6x, now 0.6 * 100 is 60 to change it to percentage format, or 60% overall percentage reduction from the original price.
It is 45 because the triangle should be 180 degree and if K is 45 then J should be 45, too. We all know that the right triangle is 90 degree, so we add angle J and G, it is 135. Lastly, you subtract 180- 135=45.