Acompany will need $75000 in 7 years for a new addition. to meet this goal, the company deposits money in an account and hat pays 5% interest compounded annually. find the amount to the nearest hundred dollars that should be invested to total $75000 in 7 years.

The principal needed for new addition is $ 53301.12

Step-by-step explanation:

Given as :

The amount needed for new addition = $75000

The Time period = 7 years

The rate of interest compounded annually = 5 %

Let The Amount invested = P

From compounded Method

Amount = Principal ×

Or, $ 75000 = P ×

Or, $ 75000 = P ×

Or, $ 75000 = P × 1.4071

So,  P = = $ 53301.115

Hence The principal needed for new addition is $ 53301.12  Answer

this is a very good question

step-by-step explanation:

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∠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.