Anne deposited $500 in an account that earns 6% simple annual interest. shelly deposited $500 in an account that earns 6% annual interest compounded annually. they leave the money in the account for 4 years. which statement is true about the two investments after 4 years?

The statement Shelly will have $11.2 more in her account than Anne is correct statement .

Step-by-step explanation:

Given as :

For Anne

The principal deposited in account = $500

The rate of interest = r = 6 % at simple interest

The time period = t = 4 years

Let The amount in account after 4 years =

From Simple Interest method  

Simple Interest =

Or, s.i =  

Or, s.i =  

Or, s.i = $120

∵, Amount = Principal + interest

Or,   = p + s.i

Or,   = $500 + $120

Or, = $620

So,The amount in account after 4 years = = $620

Again

For Shelly

The principal deposited in account = $500

The rate of interest = r = 6 % at compounded annually

The time period = t = 4 years

Let The amount in account after 4 years =

From Compound Interest method

Amount = Principal ×

Or, Amount = p ×

Or, = $500 ×

Or, = $500 ×

Or, = $500 × 1.2624

∴ = $631.2

So,The amount in account after 4 years = = $631.2

Now, Difference between amount in both accounts

i.e Amount into Shelly account - Amount into Anne account = $631.2 - $620

Or, Difference between amount in both accounts = $11.2

∴  It is now clear that amount in credited into Shelly account is $11.2 more

Hence, The statement Shelly will have $11.2 more in her account than Anne is correct statement . Answer

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step-by-step explanation:

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now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."