There are a total of 16 coins, so out of the ratio, that 16 goes on the bottom. Now you have to add up the coins that are NOT quarters and that number goes on the top. So your ratio is 8/16 or 1/2
He subtracted the 29fron the 30
Answer:
The amount becomes $6964.53 after 3 years .
Step-by-step explanation:
Formula
![Amount = P (1+\frac{r}{4})^{4t}](https://tex.z-dn.net/?f=Amount%20%3D%20P%20%281%2B%5Cfrac%7Br%7D%7B4%7D%29%5E%7B4t%7D)
Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .
As given
Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .
P = $6000
5% is written in the decimal form.
![= \frac{5}{100}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%7D%7B100%7D)
= 0.05
r = 0.05
t = 3 years
Putting all the values in the formula
![Amount = 6000(1+\frac{0.05}{4})^{4\times 3}](https://tex.z-dn.net/?f=Amount%20%3D%206000%281%2B%5Cfrac%7B0.05%7D%7B4%7D%29%5E%7B4%5Ctimes%203%7D)
![Amount = 6000(1+0.0125)^{12}](https://tex.z-dn.net/?f=Amount%20%3D%206000%281%2B0.0125%29%5E%7B12%7D)
![Amount = 6000\times 1.16075452](https://tex.z-dn.net/?f=Amount%20%3D%206000%5Ctimes%201.16075452)
![Amount =\$ 6964.53\ (Approx)](https://tex.z-dn.net/?f=Amount%20%3D%5C%24%206964.53%5C%20%28Approx%29%20)
Therefore the amount becomes $6964.53 after 3 years .
Answer:
Approximately 17.88x or ![8x\sqrt{5}](https://tex.z-dn.net/?f=8x%5Csqrt%7B5%7D)
Step-by-step explanation:
Use pythagorean formula. In a rhombus the diagonals bisect each other and they are perpendicular, so you could have a right triangle with legs of 2x and 4x, the hypoteneuse would then be
which is approximately 4.47x. In a rhombus all 4 sides are the same, so multiply that by 4 and you get the perimeter. 4(4.47x) = 17.88x or if you simplify the radical instead it's ![8x\sqrt{5}](https://tex.z-dn.net/?f=8x%5Csqrt%7B5%7D)
Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational
A better statement would be:
"The product of a non-zero rational number and an irrational number is irrational