Pat plans to buy a new $1,000 stereo for Christmas 1999. What lump sum should she deposit at
6% compounded monthly so that she can afford her new stereo a year and a half from now?

Please help with step by step

she should deposit $914.16

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

r = 6% = 6/100 = 0.06

n = 12 because it was compounded 12 times in a year.

t = 1.5 years

A = $1000

Therefore,.

1000 = P(1+0.06/12)^12 × 1.5

1000 = P(1 + 0.005)^18

1000 = P(1.005)^18

1000 = 1.0939P

P = 1000/1.0939

P = $914.16

5.5

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !