What is the solution to the system of equations? y=2/3x+3 x=-2
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Answer:
The expression that represents the population of elk is: . It'll take 6 years for the population to reach 1,458 individuals.
Step-by-step explanation:
Since the number of elks triples every year and starts at , then after the first year the population will be:
While on the second year, it'll be:
On the third year:
And so on, therefore the expression that describes the population of elk as the years passes is:
If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.
The population will reach 1,458 elk in 6 years.
The monthly payment amount is $860.25.
Step-by-step explanation:
Step 1; The bank offers an amount of $195,000 with an APR of 5.3%. This means that the family must pay 5.3% of the $195,000 every year for 30 years. To calculate we must determine how much 5.3% of $195,000 is. To do that we make 5.3% a fraction by dividing it by 100 and multiplying it with the amount.
5.3% of $195,000 = × $195,000 = 0.053 × $195,000 = $10,335 per year.
Payment owed for 30 years = Payment owed a year × 30
= $10,335 per year × 30 = $310,050 for 30 years.
Step 2; To find the monthly payments we need to know how many months are in a 30 year period. Months in 30 years = 30 × 12 months = 360 months. The monthly payment is, therefore, payment owed in 30 years divided by the months in that 30 year period.
Monthly payment = $10,335 / 360 = $ 861.25.
So the family must pay a monthly payment of $861.25 for 30 years.