Answer:
27,000,00
Step-by-step explanation:
The Interest rate is 5% and the borrowed money is $20m. You have to multiply $20m by 5%, which gives you 1m. Then for each year, you must add the $1m to the overall money($20m), meaning you have to add $1m dollars to $20m for 7 years. After the 7 years, there are $7m for interest, and in addition to that, you must add it to $20m. Therefore, overall, Antony would have to pay $27m after 7 years.
Answer: No this is not a linear function as the y values have different first differences.
Step-by-step explanation:
First we look at the x values. We start off and look at the second x value and subtract the first x value from it (That would be 1-0) and that equals to 1. Then we look at the third x value and subtract the second x value from it (2-1) and that equals to 1. Then we look at the fourth x value and subtract the third x value from it (That would be 3-2) and that is 1. Next we look at the fifth x value and subtract the fourth x value from it (That would be 4-3) and that is 1.
Now we look at the y values and do the same thing as with the x values. We start off and look at the second y value and subtract the first y value from it (That would be 1-0) and that equals to 1. Then we look at the third y value and subtract the second y value from it (4-1) and that equals to 3. Then we look at the fourth y value and subtract the third y value from it (That would be 9-4) and that is 5. Next we look at the fifth y value and subtract the fourth y value from it (That would be 16-9) and that is 7.
Even though the x values all have the same first differences, the y values do not and so this cannot be a linear function.
I hope this helps. Tell me if something doesn't make sense.
Answer:
3.2= 16/5= 3 1/5
Step-by-step explanation:
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Hello!
You need to rationalize this.
to rationalize you multiply a conjugant or a another term to get a radical under the denominator.
Here is the process shown below:
![\frac{\sqrt{4} }{\sqrt[3]{4} } *\frac{\sqrt[3]{4^{2}} }{\sqrt[3]{4^{2} }} = \frac{\sqrt{4}* \sqrt[3]{4^{2} } }{4} = \frac{2\sqrt[3]{16} }{4} =\frac{2\sqrt[3]{8*2} }{4} =\frac{2*2\sqrt[3]{2} }{4} =\frac{4\sqrt[3]{2} }{4} = \sqrt[3]{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B4%7D%20%7D%7B%5Csqrt%5B3%5D%7B4%7D%20%7D%20%2A%5Cfrac%7B%5Csqrt%5B3%5D%7B4%5E%7B2%7D%7D%20%7D%7B%5Csqrt%5B3%5D%7B4%5E%7B2%7D%20%7D%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B4%7D%2A%20%5Csqrt%5B3%5D%7B4%5E%7B2%7D%20%7D%20%7D%7B4%7D%20%3D%20%5Cfrac%7B2%5Csqrt%5B3%5D%7B16%7D%20%7D%7B4%7D%20%3D%5Cfrac%7B2%5Csqrt%5B3%5D%7B8%2A2%7D%20%7D%7B4%7D%20%3D%5Cfrac%7B2%2A2%5Csqrt%5B3%5D%7B2%7D%20%7D%7B4%7D%20%3D%5Cfrac%7B4%5Csqrt%5B3%5D%7B2%7D%20%7D%7B4%7D%20%3D%20%5Csqrt%5B3%5D%7B2%7D)
The answer is ![\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2%7D)
I hope this helps!
Have a great day!
Answer:
remainder = 290
Step-by-step explanation:
![\frac{3x^3-4x^2+2x+8}{x-5}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%5E3-4x%5E2%2B2x%2B8%7D%7Bx-5%7D)
= 3x² + 11x + 57 + ![\frac{290}{x-5}](https://tex.z-dn.net/?f=%5Cfrac%7B290%7D%7Bx-5%7D)
quotient = 3x² + 11x + 57 and remainder = 290