Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment
1 answer:
Answer:
Semiannual payment = $ 1391.37
Total payment = $ 8348.22
Interest paid = $ 848.22
Step-by-step explanation:
Since, the semiannual payment formula of a loan,
Where,
PV = present value of the loan,
n = number of semiannual payments,
r = annual rate,
Here, PV = 7500, r = 6.3% =0.063, n = 6,
By substituting the value,
The semiannual payment would be,
Also, total payment = semiannual payment × total semiannual periods
= 1391.37 × 6
= $ 8348.22,
Also, the interest paid = total payment - present value
= 8348.22 - 7500
= $ 848.22
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Answer:
a) see attachment
b) Pr(chicken sandwich, carrots, and a banana) = 1/12
c) The probability that Sol gets at least one of his favorite = 5/6
Step-by-step explanation:
a) A tree diagram is used to represent sample space.
We are told the lunch choices are sandwich, a vegetable and a fruit and each lunch combination are possible.
Find attached the tree diagram.
From the tree diagram, there are a total of 12 possible outcomes.
b) Sol's favorite lunch is a chicken sandwich, carrots, and a banana.
The probability that Sol gets his favorite lunch = Pr(chicken sandwich, carrots and a banana)
Pr(chicken sandwich, carrots, and a banana) = 1/12
Reason: From the tree diagram, the likelihood of having all three (chicken sandwich, carrots and a banana) occurs only once.
Pr(chicken sandwich, carrots and a banana) = [number of times(chicken sandwich, carrots and a banana) occurs]/(total number of possible outcomes)
Pr(chicken sandwich, carrots, and a banana) = 1/12
c) For Sol to get at least one of his favorite, we would have at least either chicken, carrot or banana in the possible outcome.
We have 10 of such possible outcome:
Chicken, carrot and apple
Chicken, carrot and banana
Chicken, spinach and apple
Chicken, spinach and banana
Hamburger, carrot and apple
Hamburger, carrot and banana
Hamburger, spinach and banana
Turkey, carrot and apple
Turkey, carrot and banana
Turkey, spinach and banana
The probability that Sol gets at least one of his favorite = (total number of at least one of Sol's favorite lunch)/(total possible outcome)
= 10/12 = 5/6
The probability that Sol gets at least one of his favorite = 5/6
The question is missing the image given to go along with it, corresponding to the map being created. The image is attached to this answer.
The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).
In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.
15/9 = 10/HB
HB = 90/15
HB = 6 blocks.
To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.
The side angle side (SAS) similarity theorem states that two triangles with congruent angles and sides with identical ratios then the two triangles are similar. We have various points on the map, Home (H), Park (P), Friends house (F) and Grocery store (G).
In this example, we know the angle at the point Home on the map, is shared between the two triangles. If these two triangles are similar, then the ratio of the distances HF/HG = HP/HB. We know all of these values except for the HB which is the distance from home to the bus stop. But if these triangles are similar, we can solve for that distance.
15/9 = 10/HB
HB = 90/15
HB = 6 blocks.
To determine if the triangles are similar we need to know the distance from home to the bus stop, and if these are indeed similar, that distance must be 6 blocks.