<u>Answer:</u>
The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$
<u>Explanation:</u>
We know final amount is given by
Where,
A = final amount
P = initial principal balance = $3200
r = interest rate = 3.74%
t = number of time periods elapsed = 2 years
Substituting the values in the formula
A=
We know, e = 2.72
So we get A = 3449.23$ which is the available amount for the down payment of car .
Right this is pretty simple all you do is sub the points to the equation given.
So first try the first point (2,-1) in y=-3x+7
==> -1=-3(2)+7
==>-1=1 this is not equal therefore not the right points
Then try (1,10)
==>10=-3(1)+7
==>10=4 this is incorrect therefore not the right points
Next try (3,-2)
==>-2=-3(3)+7
==>-2=-2 this is equal therefore this is the coordinates to the linear equation.
Finally try the last points to make sure you are correct.
==> -8=-3(-5)+7
==>-8=22 this is incorrect also.
Therefore the only coordinates that satisfies the equation is (3,-2)
Step-by-step explanation:
We can break this up into pieces, first we do, 7/8 - 1/4, find the least common denominator which is 8, so the equation will be 7/8 - 2/8, which we can now subtract and will give us, 5/8, now that we have done that, we can do 5/8 - 1/2. Since we know that half of 8 (our denominator) is 4. Then the equation would be 5/8 - 4/8, which brings us to 1/8 as our final answer.
Cheers!
Count the total number of students who prefer fiction novels: In 9th grade there are 35, in 10th grade there are 52, so there are 87 students who prefer fictions. The proportion of 10th grade students out of these 87 students is 52/87=0.60 approximately.
the expression is 27a^3 or (3a)^3