Answer:
0.75x
Step-by-step explanation:
Given that :
Discount rate= 25%
Original price = x
Discounted price of jacket :
(100 - discount rate)% * original price
(100 - 25)% * x
75% * x
0.75x
<u>Answer:</u>
Limit = -1
<u>Step-by-step explanation:</u>
We are given the following function:
We are to calculate the limit of this function as x approaches zero.
For that, we will use direct substitution method and substitute the x with 0 in the given function to calculate its limit as follows:
Therefore, the limit is -1.
The formula you can use for the withdrawals is that of an annuity. You have interest adding to the balance at the same time withdrawals are reducing the balance.
The formula I remember for annuities is
.. A = Pi/(1 -(1 +i)^-n) . . . . . i is the interest for each of the n intervals; A is the withdrawal, P is the initial balance.
This formula works when the withdrawal is at the end of the interval. To find the principal amount required at the time of the first withdrawal, we will compute for 3 withdrawals and then add the 7500 amount of the first withdrawal.
.. 7500 = P*.036/(1 -1.036^-3)
.. 7500 = P*0.357616
.. 7500/0.0347616 = P = 20,972.20
so the college fund balance in 4 years needs to be
.. 20,972.20 +7,500 = 28,472.20
Since the last payment P into the college fund earns interest, its value at the time of the first withdrawal is P*1.036. Each deposit before that earns a year's interest, so the balance in the fund after 4 deposits is
.. B = P*1.036*(1.036^4 -1)/(1.036 -1)
We want this balance to be the above amount, so the deposit (P) is
.. 28,472.20*0.036/(1.036*(1.036^4 -1)) = 6510.62
You must make 4 annual deposits of $6,510.62 starting now.
Angle to the top of the building or base of the tower = 36 degrees
Angle to the top of the radio tower on the building = 46 degrees
Distance from the base at which the surveyor is standing = 67 meters
Let us assume the distance of the base of the tower from the surveyor = x1
Let us assume the distance of the top of the tower from the surveyor = x2
Then
tan(36) = x1/67
x1 = 67 tan(36)
and
tan(46) - x2/67
x2 = 67 tan(46)
Now
x2 - x1 = 67 tan(46) - 67 tan(36)
= 20.702
= 20.7 m
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b".
If the perimeter is 13y-5, then it should be equal to all of these sides added together. So, let’s add all of the sides we already know up:
5y-4 + y + 3y+1 = 9y-3.
Now set this equal to the perimeter we already know:
9y-3 = 13y-5. Subtract 9y from both sides.
-3 = 4y-5. Add 3 to both sides.
4y-2.
Now we have the value of 4y-2. Since we know that the last two sides are completely the same, then we can divide this expression by 2.
Therefore, the remaining side is 2y-1.
