How much will you have after investing $1500 at 15% annual compound interest for 6

F(x)=x^2-2x-7 <br> given the polynomial function find f(-5)

UkoKoshka [18]

Answer:

f(-5)=28

Step-by-step explanation:

f(x)=x²-2x-7

f(-5) means that we have to replace x by -5.

f(-5)=(-5)²-2(-5)-7=25+10-7=25+3=28

4 0

3 years ago

PLEASE PLEASE PLEASE HELP ME ANSWER THIS QUESTION QUICK!! The picture of the question is down below.

d1i1m1o1n [39]

Answer:

A b c d

Step-by-step explanation:

pertaining to or using a rule or procedure that can be applied repeatedly. Mathematics, Computers. pertaining to or using the mathematical process of recursion: a recursive function; a recursive procedure.

4 0

3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .