Since this is subtraction, everything must be turned negative in the second polynomial.
(6x^2 - 5x) - (2x^2 + 3x - 2)
6x^2 - 5x - 2x^2 - 3x - (-2)
6x^2 - 5x - 2x^2 - 3x + 2
Now, reorder the terms to make it easier.
6x^2 - 2x^2 - 5x - 3x + 2
Now, just combine like terms.
4x^2 - 5x - 3x + 2
4x^2 - 8x + 2
There’s the answer!
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Answer: 1.3%
Step-by-step explanation:
To find rate of interest (r) per annum for a fund deposit by depositor .
Initial saving payment P= $1,000
Amount after three years A =$1,040.40
we know that
![A=P(1+\frac{r}{100} )^n\\\\\Rightarrow\ 1040=1000(1+\frac{r}{100} )^3\\\Rightarrow\ \frac{1040}{1000} =(1+\frac{r}{100} )^3\\\Rightarrow\ 1.040=(1+\frac{r}{100} )^3\\\text{by taking log on both sides we get,}\\log(1.040)=log((1+\frac{r}{100} )^3)\\\Rightarrow\ 0.039=3log(1+\frac{r}{100})\\\Rightarrow\ 0.013=log(1+\frac{r}{100})\\\Rightarrow\ e^0.013=1+\frac{r}{100}\\\Rightarrow\ 1.013=(1+\frac{r}{100})\\\Rightarrow\ 1.013-1=\frac{r}{100}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7B100%7D%20%29%5En%5C%5C%5C%5C%5CRightarrow%5C%201040%3D1000%281%2B%5Cfrac%7Br%7D%7B100%7D%20%29%5E3%5C%5C%5CRightarrow%5C%20%5Cfrac%7B1040%7D%7B1000%7D%20%3D%281%2B%5Cfrac%7Br%7D%7B100%7D%20%29%5E3%5C%5C%5CRightarrow%5C%201.040%3D%281%2B%5Cfrac%7Br%7D%7B100%7D%20%29%5E3%5C%5C%5Ctext%7Bby%20taking%20log%20on%20both%20sides%20we%20get%2C%7D%5C%5Clog%281.040%29%3Dlog%28%281%2B%5Cfrac%7Br%7D%7B100%7D%20%29%5E3%29%5C%5C%5CRightarrow%5C%200.039%3D3log%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5C%5C%5CRightarrow%5C%200.013%3Dlog%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5C%5C%5CRightarrow%5C%20e%5E0.013%3D1%2B%5Cfrac%7Br%7D%7B100%7D%5C%5C%5CRightarrow%5C%201.013%3D%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5C%5C%5CRightarrow%5C%201.013-1%3D%5Cfrac%7Br%7D%7B100%7D%20)
r=0.013×100=1.3%
Each page from 10 to 99, inclusive (so total of 90 pages) needs two digits (for example page 12 needs two digits: 1 and 2); Each page from 100 to 200, inclusive (so total of 101 pages) needs three digits (for example page 123 needs three digits: 1, 2 and 3)