Answer:
the future value is $5800.38
Step-by-step explanation:
Given that
The invested amount i.e present value is $500
The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%
The time period is 3 per year so for quartely it is 3 × 4 = 12
We need to find out the future value
So as we know that
Future value = Present value × (1 + rate of interest)^time
= $500 × (1 + 0.0125)^12
= $580.38
hence, the future value is $5800.38
Answer:
![\dfrac{\sqrt[12]{55296}}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B12%5D%7B55296%7D%7D%7B2%7D)
Step-by-step explanation:
Rationalize the denominator, then use a common root for the numerator.
![\dfrac{\sqrt[4]{6}}{\sqrt[3]{2}}=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\\\\=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\cdot\dfrac{2^{\frac{2}{3}}}{2^{\frac{2}{3}}}=\dfrac{2^{\frac{1}{4}+\frac{2}{3}}3^{\frac{1}{4}}}{2}\\\\=\dfrac{2^{\frac{11}{12}}3^{\frac{3}{12}}}{2}=\dfrac{\sqrt[12]{2^{11}3^{3}}}{2}\\\\=\dfrac{\sqrt[12]{55296}}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%5B4%5D%7B6%7D%7D%7B%5Csqrt%5B3%5D%7B2%7D%7D%3D%5Cdfrac%7B%282%5Ccdot%203%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%7B2%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%282%5Ccdot%203%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%7B2%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%5Ccdot%5Cdfrac%7B2%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%7B2%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%3D%5Cdfrac%7B2%5E%7B%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B2%7D%7B3%7D%7D3%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%7B2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B2%5E%7B%5Cfrac%7B11%7D%7B12%7D%7D3%5E%7B%5Cfrac%7B3%7D%7B12%7D%7D%7D%7B2%7D%3D%5Cdfrac%7B%5Csqrt%5B12%5D%7B2%5E%7B11%7D3%5E%7B3%7D%7D%7D%7B2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Csqrt%5B12%5D%7B55296%7D%7D%7B2%7D)
Answer:
a . 1/13
Step-by-step explanation:
Answer:
A. a quadratic function can only have one y-intercep
6.4 is the answer hope this helps
