<span>Presumably you are saying that the 7.5% is the actual real effective per annum rate since you did not include a compounding interval. Therefore if you let R = 1.075 which is 7.5%, X = $1,000 and F(n) be the balance after n years then you can figure it out by thinking about what happens. After one year, your balance is:
F(1) = X * R
After two years, your balance is:
F(2) = ( F(1) +X ) * R
.:
F(2) = X * R^2 + X * R
After three years, your balance is:
F(3) = ( F(2) + X ) * R
F(3) = X * R^3 + X * R^2 + X * R
You can see that the general form is:
F(n) = X * summation of R^k for k = 1 to n
Applying the summation of a geometric sequence equation and you get:
F(n) = X * ( ( 1 - R^(n+1) ) / ( 1 - R ) - 1 )
Therefore the total value of the investments after 10 years is:
F(10) = $1,000 * ( ( 1 - 1.075^11 ) / ( 1 - 1.075 ) - 1 )
F(10) = $15,208.12
If you blindly use the programs in the business calculators, you'll get the wrong answer of $14,147.09 because those calculators assume that the deposit is made at the end of the year not at the beginning. The equation is slightly easier to work out that way as the summation of the geometric sequence would be for k from 0 to n-1. That's one of the downfalls of relying on those calculators, you don't actually understand what's happening.
Now the portion of that which is from the first $1,000 payment is $1,000 * 1.075^10 which is $2,061.03</span><span>
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5/6 divided by 7/10 is 1/4/21 which is 1.19047619 in decimal.
Answer:
∠PQL=∠TRN [Corresponding angles]
So, PQ║RS and PQ=RS
Step-by-step explanation:
Side PQ is drawn.
Another side QR is drawn making an acute angle with side PQ.
Now side QR is extended towards left.
Draw an arc from point Q such that it cuts QP at M and RQ produced at L. Without changing the compass width i.e distance between nib and pencil draw an arc from point R such it cuts RQ at N.Now measure the Distance LM using compass.Place the compass at N and cut an arc that you have drawn from point R.Mark this pont as T.Draw a line passing from R and T .Then measure the length of PQ using compass.Put your compass at R and cut an arc on the line RT produced at S.Then the line PQ ║RS and PQ =RS.
Why this happens because
∠ MQL=∠NRT [ corresponding angles taking QR as Transversal]
∵PQ║RS and PQ=RS [PQRS is a parallelogrm]
Out of four students who has written the explanation
Student 2 has written not fully but correct explanation.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula to find the error is:
Where:
is the standard deviation
n is the sample size
So
n = 80 people
= 12 movies
Then
= confidence level = 0.99
We look for the Z value:
Looking in the normal standard tables
Therefore:
Answer:
Its about 1.50$
Step-by-step explanation:
i don't know the exact amount
