This seems like a concept you’re going to learn and use so I’ll do a problem per section and explain.
Well basically this is a concept: if it’s a negative exponent it’s just 1/number^exponent.
So for example:
#1. 1/(10)^2 = 10^-2
The standard notation:
#9: You know that 1/(10)^3 you could either put it in a calculator or realize that you take the number 1, and move the decimal to the left three times. 0.001 would be the answer.
Scientific notation:
combines these topics. Let’s take #17. 0.025. Scientific notation means you write it as a number multiplied by 10^? So let’s see how many places you can move the decimal to get a number without the zeros.
0.025 => move it two places to the right. So that’s 2.5. Now 2.5 multiplied by what 10^? Would give you 0.025? It would be 10^-2. So your answer would be 2.5 x 10^-2.
For all of these, use your knowledge of the power of tens and dividing by tens! ^^ you got this. Let me know if you need help after this explanation.
Answer:
+ 8/5
Step-by-step explanation:
Reciprocal is flip
Take the negative flip
- ( - 1 /(5/8))
+ 8/5
Given:
Total amount invested = $9,000
interest rates = 4% and 6%
Let x be the part of 9,000.
Note that annual return on each investment is the same.
0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540
x = 540/0.10
x = 5,400
0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216
total interest for the year : 216 + 216 = 432
Interest = pricipal * interest rate * term
432 = 9,000 * interest rate * 1 yr
432/9,000 = interest rate
0.048 = interest rate
Interest rate would be 4.8% to get the same interest from the whole 9,000.
The form of the line is given by y=mx +b
Where b is the y intercept of the line
That is the point where the line cuts the y axis
So here b= 1
SoEquation is Y=1/3 x +(1)
Answer in place of question mark is 1
The correct answer is a,c,d