A 7-year lease for office space states that the annual rent is $85,000 for the first year and will increase by 6% each additional year of the lease. What will the total rent expense be for the entire 7-year lease?

the total rent expense be for the entire 7-year lease is $713476

Step-by-step explanation:

The rate at which the rent increases each year is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

a = $85000

r = 1 + 6/100 = 1.06

n = 7

Therefore, the sum of the first 7 terms(7 year lease), S7 is

S7 = (85000 × 1.06^(7) - 1)/1.06 - 1

S7 = (85000 × 1.06^(7) - 1)/0.06

S7 = 42808.57/0.06

S7 = $713476

∠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.

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.