You just multiply 1.5x10^3 by 4.3x10^2. 1.5x10^3 is equal to 1500 (move the decimal to the right as many spaces as the exponent gives) and 4.3x10^2 is equal to 430. 1500*430=645000. To get that back down to scientific notation, we would have to move the decimal back to between the 6 and 4 to get 6.45 (Zeros aren't included in scientific notation) We moved the decimal to the left five spaces do the exponent is 10^5. We are left with 6.45x10^5
A. The scientific notation for 50,000,000 is 5 x 10^7 (to the 7th power)
B. After squaring 50,000,000 you'll get <span>2500000000000000. In </span>scientific notation, this is 2.5 x 10^15 (to the 15th power).
C. I think what it's asking is how I solved part B... this could be wrong, double check it. I solved it by multiplying 50,000,000 x 50,000,000 and then converting the product into scientific notation.
Hope this helps, if you have more questions, message me or comment under this post!
d = dimes
q = quarters
d+q = 38 coins
q=38-d
0.25q + 0.10d=6.95
0.25(38-d)+0.10d=6.95
9.5-0.25d+0.10d=6.95
-015d=-2.55
d=-2.55/-0.15 = 17
q=38-17 =21
21*0.25 =5.25
17*0.10 = 1.70
5.25+1.70 = 6.95
she had 21 quarters and 17 dimes
Log7+log(x-4)=1
Subtract log 7 from both sides
Log(x-4)=1-log7
As 1-log7 = log (10/7)
Log(x-4)=log (10/7)
As bases of logs are same.
we get
x-4=10/7
Add 4 to both sides
x=10/7 + 4
simplify
x=38/7
Answer: x=38/7
The exponential function that approximates the amount of money in her account using a weekly growth rate is:
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What is an exponential function?
An increasing exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal
In this problem, the yearly function is:

Considering that a year has 52 weeks, we have that:
0.06/52 = 0.001154
Hence:

More can be learned about exponential functions at brainly.com/question/25537936
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