Lori bought a bond with a face value of $20,000 and a coupon rate of 9.5%. The bond will mature in 20 years .

1 answer:

7 0

The answer is B. 950. Calculating the coupon interest using the coupon rate formula of face value multiplied by the coupon rate then divided by the period, mathematically expressed as (20000*0.095)/ 2 since it is semi-annual, yields to an answer of 950.

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Averi was trying to factor 4x2 + 20x - 16. She found

hichkok12 [17]

Answer:

The width will be $x^{2} +5x-4$

Step-by-step explanation:

Thinking process:

Let the model be:

$4x^{2} +20x-16$

factoring out 4 gives:

$4(x^{2} +5x-4)$

Factorizing the expression in the parentheses gives:

$4(x^{2} +5x-4)$

Therefore, since the expression in the parentheses cannot be factorized further, the expression is:

$length = 4 units\\width = x^{2} +5x-4$

7 0

3 years ago

Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an expl

BlackZzzverrR [31]

The tetrahedron passes through the intercepts (5, 0, 0), (0, 2, 0), and (0, 0, 10). Parameterize the surface (call it $\Sigma$ ) by

$\vec r(u,v)=(1-v)\langle5,0,0\rangle+v\left((1-u)\langle0,2,0\rangle+u\langle0,0,10\rangle\right)$

$\vec r(u,v)=\langle5(1-v),2(1-u)v,10uv\rangle$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $\Sigma$ to be

$\vec r_v\times\vec r_u=\langle20v,50v,10v\rangle$

Then the flux of $\vec F(x,y,z)=\langle x,y,z\rangle$ across $\Sigma$ is

$\displaystyle\iint_\Sigma\vec F\cdot\mathrm d\vec S=\int_0^1\int_0^1\langle5(1-v),2(1-u)v,10uv\rangle\cdot\langle20v,50v,10v\rangle\,\mathrm du\,\mathrm dv$