producer, decomposer

For an annuity of $200 at the end of every six months for$6 $$\frac{1}{2}$ years, find (a) the present value and (b) the future value at an interest rate of 8% compounded semiannually.

Find the area of the following surfaces using a parametric description of the surface. The half-cylinder $\{ ( r , \theta , z ) : r = 4,0 \leq \theta \leq \pi , 0 \leq z \leq 7 \}$

Which pair of terms could apply to the same organism? A. carnivore and producer B. consumer and carnivore C. scavenger and herbivore D. producer and omnivore.

Compound interest If $\$ 10,000$ is invested at $1 \%$ per month, the future value $S$ at any time $t$ (in months) is given by $S=10,000(1.01)^t$.

(a) What is the amount after $1$ year?

(b) How long before the investment doubles?

Consider the following equations of quadric surfaces.

$$- \frac { x ^ { 2 } } { 3 } + 3 y ^ { 2 } - \frac { z ^ { 2 } } { 12 } = 1$$

Find the equations of the xy-, xz-, and yz-traces, when they exist.

What is the future value of $4,900 invested for 8 years at 7 percent compounded annually?

A.)$8,397.74
B.) $8,419.11
C.)$8,511.15
D.) $8,513.06
E.)$8,520.22

Find the future value of each annuity and the amount of interest earned. $4000 deposited at the end of each quarter for 7 years; money earns 5% compounded quarterly.

A car can decelerate at $a_x=-3.80 \mathrm{~m} / \mathrm{s}^2$ without skidding when coming to rest on a level road. What would its deceleration be if the road is inclined at $9.3^{\circ}$ and the car moves uphill? Assume the same static friction coefficient.

A solid wooden cylinder rolls down two different inclined planes of the same height but with different angles of inclina- tion. Will it reach the bottom with the same speed in each case? Will it take longer to roll down one incline than the other? Explain your answers.

Compound interest If $\$ 1000$ is invested at $12 \%$, compounded monthly, the future value $S$ at any time $t$ (in years) is given by

$$S=1000(1.01)^{12 t}$$

How long will it take for the amount to double?

A $12.0$-$\mathrm{kg}$ package in a mail-sorting room slides $2.00$ m down a chute that is inclined at $53.0\degree$ below the horizontal. The coefficient of kinetic friction between the package and the chute's surface is $0.40$. Calculate the work done on the package by
($c$) the normal force.

Is a grasshopper a consumer or producer?

Solve for the unknown number of years in each of the following: