Answer:
It'll take 38.3 years to obtain the desired return of $25,000.
Step-by-step explanation:
In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:
(25000 + 8000) = 8000*e^(0.037*t)
33000 = 8000*e^(0.037*t)
e^(0.037*t) = 33000/8000
e^(0.037*t) = 4.125
ln[e^(0.037*t)] = ln(4.125)
t = ln(4.125)/(0.037)
t = 1.4171/0.037 = 38.2991
t = 38.3 years
Answer:
8 inches
Step-by-step explanation:
Use a Ratio:
12 inches : 1 1/2 hours
? inches : 1 hours
12/1.5 = x/1
8 = x/1
x = 8 * 1
x = 8 inches
Really ? ?
Price per inch has the units of "price/inch". See that ? It comes from dividing 'price' by 'inches'.
Price = $7.56
Inches = don't know;
... but we know it's 7 feet, and every foot has 12 inches in it
... so there are (7 x 12) = 84 inches of ribbon.
Price per inch = ($7.56) / (84 inches)
Prince per inch = (7.56/84) (dollars/inch)
Now, YOU go ahead and do the division to get the final answer.
Area is length times width. Our length and width are 4 5/8 and 1/2 respectively, so the formula for the area is
. It will be easier to get that mixed fraction into an improper one and then multiply the fractions straight across the top and straight across the bottom.
. Doing that multiplication gives us
, choice B.
