Tia invests $2,500 at an interest rate of 4%, compounded quarterly, and another $2,500 at an interest rate of 3.75%, compounded annually. How much are the investments worth at the end of 5 years

Use formula for intrested compunded continuously which is ...

A = Pe^(rt)

A = Total Balance you will receive

P = Principal (amount you start out with)

e = The constant e (2.71818... can be foudn on your calculator)

r = Rate (Remember to convert to decimal form out of a whole)

t = Time

Lets assemble the equation for balance after 1 year...

A = 2000e^(.06x1)

A = $2123.67

So after 1 year, your balance is $2123.67

To find balance after 2 years, just substitute (t) for 2

A = 2000e^(.06x2)

A = $2254.99

After 2 years, your balance is $2254.99

Hope this helps

EDIT for the sake of clarifying what compounding continuously means, compared to compounding annually, semi annually, quarterly, etc... etc (I will try my best)

Continuous compounding can be thought of as making the compounding period infinitesimally small; therefore achieved by taking the limit of n to infinity.

Think of it as compounding continuously is an asymptote, you can compound annually, semi annually, quarterly, monthly, daily, even per second. Going down this progressive series approaches this asymptote which increasingly gets smaller but never crosses, so we substitute it with infinity. The asymptote is what we are compounding and can be found with A = Pe^(rt)

Step-by-step explanation:

hi how are you doing today, if you need just ask me.

step-by-step explanation:

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6