If Jimmy invests $250 twice a year at 4% compounded semi-annually, how much will his investment be worth after 3 years?

Please give a step by step!

his investment will be worth $1606.5 after 3 years

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

R = $250

r = 0.04/2 = 0.002

n = 2 × 3 = 6

Therefore,

S = 250[{(1 + 0.02)^6 - 1)}/0.02][1 + 0.02]

S = 250[{(1.02)^6 - 1)}/0.02][1.02]

S = 250[{(1.126 - 1)}/0.02][1.02]

S = 250[{0.126}/0.02][1.02]

S = 250[6.3][1.02]

S = 250 × 6.426

S = $1606.5

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.