Eliza bought a meal that cost $12.00. She tipped the waiter 25%of that amount . How much was the tip ?
1 answer:
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Ropes are 9.63 meters ans 8.178 meters.
<u>Step-by-step explanation:</u>
Step 1 :
List all the given things
Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters
Angle between two ropes = 86 degrees
Angle of elevation of one rope = 42 degrees
Step 2 :
Two angles of triangle are already given so third angle can be calculated as -
Third angle = 180 - ( 86 + 42 ) = 52 degrees
Step 3 :
As we know all three angles we will apply sine rule now, which is
Step 4 :
By putting values, we have
Step 5 : Calculating a and b
,
Step 6 :
By putting values of all sine and calculating we get,
a = 9.63 meters and b = 8.178 meters
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.