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AreYouMyNewDad
25.06.2019 •
Business
During 2018, raines umbrella corp. had sales of $754,000. cost of goods sold, administrative and selling expenses, and depreciation expenses were $459,000, $101,500, and $147,000, respectively. in addition, the company had an interest expense of $73,200 and a tax rate of 24 percent. (ignore any tax loss carryforward provisions and assume interest expense is fully tax deductible.) (a) what is the company’s net income/loss for 2018? (do not round intermediate calculations. enter your answer as a positive value.) (b) what is the company's operating cash flow? (do not round intermediate calculations)
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Ответ:
It will take 6.68 years to reach the $10,000 goal.
Explanation:
As the deposit of $1,000 per year is a form of the annuity payment.
We will use the following formula in order to calculate the numbers of year required to reach the goal
Future value of Annuity = Annuity payment x ( ( ( 1 + interest rate )^numbers of years ) - 1 ) / Interest rate
Where
Future value of Annuity = Target amount = $10,000
Annuity payment = Yearly deposti = $1,000
Interest rate = 14%
Numbers of years = n = ?
Placing values in the formula
Future value of Annuity = Annuity payment x ( ( ( 1 + interest rate )^numbers of years ) - 1 ) / Interest rate
$10,000 = $1,000 x ( ( ( 1 + 14% )^n ) - 1 ) /14%
$10,000 x 14% = $1,000 x ( ( ( 1.14 )^n ) - 1)
$1,400 = $1,000 x ( ( ( 1.14 )^n ) - 1)
$1,400 / $1,000 = ( ( 1.14 )^n ) - 1
1.4 = ( ( 1.14 )^n ) - 1
1.4 + 1 = 1.14^n
2.4 = 1.14^n
Log 2.4 = n x Log 1.14
n = Log 2.4 / Log 1.14
n = 6.681525965
n = 6.68 years
It will take 6.68 years to reach the $10,000 goal.