The interest on the first monthly payment is ...
I = Prt
I = 110,000*7.5%*(1/12)= 687.50
For the first payment, the interest is
$687.50
_____
The time period for the interest rate calculation is 1/12 year.
Answer:
derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )
Step-by-step explanation:
given data:
vector function : r(t) = ta*(b+tc)
a = ( 2,-3.4) . b = (-4,5,-1). c = ( -2,-1,5)
to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution
Answer:
Sharla has more, by $2000.
Step-by-step explanation:
Company B has 30000+2400x.
Company C has 36000+2000x.
Since we know x is equal to 10, because they have been working from the last ten years, we plug in 10 at where the x has been.
Company B: 30000+2400(10)
Company C: 36000+2000(10)
Let's first solve for B.
30000+2400(10)= 30000+24000=54000.
So, Paul earned $54000.
Next, Let's solve for C.
36000+2000(10)= 36000+20000=56000.
Sharla earned $56000.
It is obvious that sharla has more, so we will find the difference between the earnings of two companies.
56000-54000=2000.
So, Sharla has more earnings, with $2000 more than Paul.
Answer:
$30
Step-by-step explanation:
Given data
Origianal price= $40
discount= 50%
Tax= 10%
Let us find the amount of the discount and tax
Discount
=50/100*40
=0.5*40
=$20
Tax
=10/100*40
=0.1*40
=$4
Hence the total cost is
=40-20+10
=$30
Answer:the uncle is 54 years old.
The woman is 18 years old
Step-by-step explanation:
Let x represent the age of the uncle.
Let y represent the age of the woman that he married.
In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that
x = 3y
He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that
x + 18 = 2(y + 18)
x + 18 = 2y + 36 - - - - - - - - - - 1
Substituting x = 3y into equation 1, it becomes
3y + 18 = 2y + 36
3y - 2y = 36 - 18
y = 18
x = 3y = 3 × 18
x = 54
