Based on the amount to be paid per month, the size of the loan you can afford is $142,792.19.
The total amount you pay to the loan company is $342,000.
The interest on the money is $199,207.81.
<h3 /><h3>What is the size of the loan?</h3>
The size of the loan is the present value associated with that loan payment that you can afford:
950 = (7/12% x Present value) / ( 1 - (1 + 7/12%)⁻⁽³⁰ ˣ ¹²⁾
950 = (7/12% x Present value) / 0.8767
Present value = $142,792.19
The total amount of money paid is:
= Number of periods x Payment per period
= 30 years x 12 months per year x 950
= $342,000
The interest is:
= 342,000 - 142,792.19
= $199,207.81.
Find out more on interest payments on loans at brainly.com/question/13005100
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<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
Answer:
x = 5 or x = 1
Step-by-step explanation:
Absolute Value Equation entered :
3|3x-9|=18
Step by step solution :
Step 1: Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|3x-9| = 18
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|3x-9|
For the Negative case we'll use -3(3x-9)
For the Positive case we'll use 3(3x-9)
Step 3: Solve the Negative Case
-3(3x-9) = 18
Multiply
-9x+27 = 18
Rearrange and Add up
-9x = -9
Divide both sides by 9
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(3x-9) = 18
Multiply
9x-27 = 18
Rearrange and Add up
9x = 45
Divide both sides by 9
x = 5
Which is the solution for the Positive Case
Step 5: Wrap up the solution
x=1
x=5
Solutions on the Number Line
Two solutions were found :
x=5
x=1
Answer:
⅛
Step-by-step explanation:
P(H&H&H) = ½ × ½ × ½ = ⅛
Answer: Mathematically Bayes’ theorem is defined as
P(A\B)=P(B\A) ×P(A)
P(B)
Bayes theorem is defined as where A and B are events, P(A|B) is the conditional probability that event A occurs given that event B has already occurred (P(B|A) has the same meaning but with the roles of A and B reversed) and P(A) and P(B) are the marginal probabilities of event A and event B occurring respectively.
Step-by-step explanation: for example, picking a card from a pack of traditional playing cards. There are 52 cards in the pack, 26 of them are red and 26 are black. What is the probability of the card being a 4 given that we know the card is red?
To convert this into the math symbols that we see above we can say that event A is the event that the card picked is a 4 and event B is the card being red. Hence, P(A|B) in the equation above is P(4|red) in our example, and this is what we want to calculate. We previously worked out that this probability is equal to 1/13 (there 26 red cards and 2 of those are 4's) but let’s calculate this using Bayes’ theorem.
We need to find the probabilities for the terms on the right-hand side. They are:
P(B|A) = P(red|4) = 1/2
P(A) = P(4) = 4/52 = 1/13
P(B) = P(red) = 1/2
When we substitute these numbers into the equation for Bayes’ theorem above we get 1/13, which is the answer that we were expecting.
