3:20 then 3:40 then 4:00 for both
Answer:
It will take about 7.3 years for his money to triple.
Step-by-step explanation:
Identify the variables in the formula.
A = 150,000
P = 50,000
r = 0.15
t = ?
A = Pe^rt
Substitute the values into the formula.
150,000 = 50,000e^0.15*t
Solve for t. Divide each side by 50,000.
3 = e^0.15*t
Take the natural log of each side.
ln 3 = ln e^0.15*t
Use the power property and then simplify.
ln 3 = 0.15*t ln e
ln 3 = 0.15-t
Divide each side by 0.15.
(ln 3)
/(0.15) = t
Approximate the answer.
t ≈ 7.3
Answer:
Step-by-step explanation:
Rewrite the differential equation as:
Integrate both sides with respect to x:
Integrate one more time both sides with respect to x:
Now that we find the solution, let's find its derivate:
Evaluating the initial conditions:
Replacing the value of the constants that we found in the differential equation solution:
So they need $125 to start a slime business.
To get money Carrie start to sell cupcakes for 0.50 cents
Juanita will be selling cards for $2.25
Juanita is selling cards for $2.25 and she is selling at least 35 of them
Carrie is selling cupcakes for 0.50 cents and the number of cupvakes is three times the number of cards so we will multiply 35 x 3=105 number of cupcakes
Then we will multiply 0.50 cents x 105= $53.2 on the cupcakes.
After that, we will multiply $2.25 x 35 for the cards = 78.5
Finally add them together
78.5
+53.3
---------
$ 131.8
So they will have $131.8 after selling cupcakes and cards.
Answer:
Rational
Step-by-step explanation:
5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:
5.74 = 5.74/1
5.74 x 100/ 1 x 100
You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.
5.74 × 100/ 1 × 100
When we calculate the numerator and the denominator above, we get this fraction:
574/100
The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.
