Mark deposit $2000 into an account that pays an interest rate of 3.5% compounded annually. he doesn't add or remove money from his account for four years. how much money will mark have 4 years?

Total amount of money that Mark will have in 4 years is $2295

Step-by-step explanation:

The initial amount deposited by Mark into the account is $2000 . This means that the principal is

P = $2000

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 3.5%. So

r = 3.5/100 = 0.035

It was compounded for a total of 4 years. So

n = 4

We will apply the compound interest formula,

A = P(1+r/n)^nt

A = total amount in the account at the end of n years.

A= 2000(1 + 0.035/1)^1×4

A= 2000(1.035)^4

A = 2000 × 1.1475

A = $2295

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.