Joshua invested $110 in an account paying an interest rate of 2 1/2% compounded annually. Zoey invested $110 in an account paying an interest rate of 2 5/8% compounded continuously. To the nearest dollar, how much money would Zoey have in her account when Joshua's money has doubled in value?

Step-by-step explanation:

1. Calculate the time for Joshua's investment to double

The formula for interest compounded annually is  

A = P(1 + r)ᵗ

where

A = Accrued Amount

P = Principal Amount

r =annual interest rate as a decimal

t = time in years

(a) Data

A = $220

P = $110

r =0.025

(b) Calculation

It will take 28.07 yr for Joshua to double his investment.

2. Calculate the value of Zoey's investment

The formula for interest compounded continuously is

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: