In 2000, a company had 1147 stores nationwide. By 2002, this total had grown to 1542. If the number of stores continues to grow exponentially at the same rate, how many stores will there be in 2016?

12226 stores will be there in 2016

Solution:

The growth function is given as:

Where,

y is the future value

a is the initial value

r is the growth rate

t is the number of years

From given,

In 2000, a company had 1147 stores nationwide

By 2002, this total had grown to 1542

Therefore,

y = 1542

a = 1147

t = 2000 to 2002 = 2 years

r = ?

Substituting we get,

Taking square root of both sides

If the number of stores continues to grow exponentially at the same rate, how many stores will there be in 2016?

Therefore,

y = ?

a = 1147

r = 0.1594

t = 2000 to 2016 = 16 years

Substituting we get,

Thus 12226 stores will be there in 2016

.5 lb

step-by-step explanation:

12 in / 6 in =2 in

.25 x 2 = .5 lb

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.