Afactory produces 1,250,000 toys each year. the number of toys is expected to increase by about 150% per year. which model can be used to find the number of toys being produced, n (in millions), in t years?
a. n= 2.5(1.5)/t, t cannot = 0
b. n= 1.5t^2 + 1.25
c. n= 1.5t + 1.25
d. n= 1.25(2.5^t)

For this case we have a function of the form:

Where,

n0: initial amount (in units of millions)

b: growth rate

t: time in years

Substituting values we have:

the number of toys being produced, n (in millions), in t years is:

D.

what golf ball

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12