Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?

Step-by-step explanation:

This problem is based on compound interest, and the expression for the compound interest is given as

Given Data

A=final amount  =  ?

P=initial principal balance  = $2,500

r=interest rate = 2.1%= 0.021

t=number of time periods elapsed= 14 years

Substituting our data into the compound interest formula we can solve for the final amount

Hence to the nearest hundred we have the account balance has $3,000

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'.