108=103e^(5k)

108/103=e^(5k) take the natural log of both sides

ln(108/103)=5k

k=ln(108/103)/5

k≈0.00948

P=103e^(12*0.00948)

P≈115 million (to nearest million)

7 0

3 years ago

The area of a rectangular rug is given by the trinomial r^2-4r-21. What are the possible dimensions of the rug?

maksim [4K]

Answer:

There are two possible values for r (area): r =-7 or r=3

Step-by-step explanation:

Given the rectangular rug area is:

$r^{2} -4r -21$

We have to convert the above equation into factored form.

So two numbers whose product is -21r² and sum is -4r

<=> $r^{2} -4r -21$

= $r^{2} -7r + 3r -21$

= r (r -7) + 3(r -7)

= (r-7)(r+3)

We set $r^{2} -4r -21$ = 0

<=> (r-7)(r+3) = 0

<=> (r-7) = 0 or (r+3) = 0

<=> r =-7 or r=3

So, there are two possible values for r (area): r =-7 or r=3

5 0

4 years ago

Need help on this please, a positive answer only :)!

viva [34]

Answer:

all statements are true

Step-by-step explanation:

for A real numbers are all numbers B is all the x values C when f(x)=5 x=-2 D when f(x)=-1 x=-6

8 0

3 years ago