To multiply a number by 10^6, simply add 6 zeros to the end of the number (move the decimal 6 place values to the right and fill in with appropriate zeros).
Final answer: 93,000,000
Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
Answer:
90/23
Step-by-step explanation:
First, you want to start in the parentheses. 5-6=-1, then multiply it by -2. Since a negative multiplied by a negative is a positive, -2*-1=2. -3^2=-9. 2+8=10. Then -9 times 10= -90. Then, we move on to the bottom. 5--2=7. 4^2=16, and -2(2)=-4. So -5(7) + 16-4=-23. Now, the equation should look like this, -90/-23. Put the negatives together and you get 90/23.
It's (4,2). Can you comment why you're having a struggle with this? I might be able to help you.
Answer:
Let x = the smaller number
Let 3x + 15 = the larger number
x + 3x + 15 = 63
4x = 48
x = 12
3(12) + 15 = 51
Step-by-step explanation: