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:
1/3 wins and 2/3 losses
given 2 and 5 = 2/6 = 1/3
1, 3, 4, and 6 = 4/6 = 2/3
Answer:
Step-by-step explanation:
Surface area is pretty synonymous with area.
How much paint is needed to paint the outside of a birdhouse?
Paint is measured in volume, so not surface area
How much wallpaper is needed to cover the walls of your room?
Since its just the walls its not total surface area, but surface area of the walls.
How much water will it take to fill a rectangular container?
water is measured in volume, especially when wanting to fill something.
How much topsoil can a gardener place in his wheelbarrow?
Wants to know how much topsoil is needed to FILL the wheelbarrow, filling is volume. So not surface area.
How much fabric is needed to make a pillowcase for a pillow?
Not asking to fill the pillowcase, just how much is needed for the thin, one layer thick case. So this is surface area.
Answer:
x=7
Step-by-step explanation:
f(x) =g(x)
12-2=x+3
10=x+3
10-3=x
x=7
