A 13-year-old child received an inheritance of $5000 per year. This was to be invested and allowed to accumulate until the child reached 21 years of age. The first payment was made on the child’s 13th birthday and the last on the 21st birthday. If the money was invested at 5.7% compounded annually, what did the child receive at age 21?

What should be the most important considerations when filling judge and justice positions at the federal level? Why?

Using the current year, journalize the following transactions on page 8 of the general journal. Source documents are abbreviated as follows: memorandum, M; debit memorandum, DM. Transactions: Oct. 5. Bought store supplies on account from Designer Supplies, $180.00. M35. Oct. 7. Returned merchandise to Hendrix Products,$540.00. DM65.

A binomial distribution has probability distribution function $\mathrm{P}(X=x)=k\left(\frac{1}{3}\right)^{x}\left(\frac{2}{3}\right)^{7-x}$ where x = 0, 1, 2, 3, ..., 7. Write k in the form

$$\left( \begin{array}{l}{n} \\ {r}\end{array}\right)$$

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Classify each property as intensive or extensive. a. volume, b. boiling point, c. temperature, d. electrical conductivity, e. energy.

Use the notation $\mathbf{r}=\langle x, y\rangle$ and $r=\|\mathbf{r}\|=\sqrt{x^{2}+y^{2}}$. Show that $\nabla(\ln r)=\frac{\mathbf{r}}{r^{2}}$.

Verify that each trigonometric equation is an identity. $\sin ^{2} \beta\left(1+\cot ^{2} \beta\right)=1$

A positively charged ball is brought close to an electrically neutral isolated conductor. The conductor is then grounded while the ball is kept close. Is the conductor charged positively, charged negatively, or neutral if the ball is first taken away and then the ground connection is removed?

A person doing a chin-up weighs 700 N, exclusive of the arms. During the first 25.0 cm of the lift, each arm exerts an upward force of 355 N on the torso. If the upward movement starts from rest, what is the person’s velocity at that point?

What does the kinetic theory say about the motion of atoms?

Identify the causes of human risks for a business.

All other conditions being equal, why is the induced current greater in claypan soil than in topsoil? (a) Claypan soil has a higher concentration of magnetic ions compared to topsoil. (b) Claypan soil is partly metallic in composition. (c) Claypan soil has greater density than loose topsoil. (d) The clay is closely packed, moist, and a better electrical conductor than loose, dry topsoil.

For each pair of terms, explain how the meanings of the terms differ. hunting and poaching

Solve each equation by completing the square. $x^{2}=3 x+4$ _____.