Tao bergolts bank granted him a single-payment loan of $4,400 at an interest rate of 12 percent. the term of the loan is 172 days. what is the maturity value of his loan at exact interest?

$ 14736 (approx)

Step-by-step explanation:

Since,  Maturity value is the amount payable to an investor at the end of a holding period of debt instrument.

And, It is defined as,

Where, P is the principal amount,

r is the interest rate

And, n is the time period.

Here, P=  $4,400 r=  12 % and n = 172/365

Thus, Maturity value for this loan,

⇒V= 4400 × 3.34908932078 = 14735.9930114 ≈ 14736

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12