Knob Hill Savings Bank offers a one-year CD at 3.88% interest compounded daily.
What is the APY for this account? Round to the nearest hundredth of a
percent.

3.95%

Step-by-step explanation:

The computation of the APY is shown below:

As we know that

A = P(1 + rate)^n

where,

A = full and Final amount (Principal + Interest )

r = rate of interest

n = time

Now

Let us assume that P = $100.

Now placing the values,

A = $100 × (1 + (3.88% ÷ 365)^365

= $100 × (1 + 0.000106301 )^365

= $100 ×  (1.000106301 )^365

= $100 × 1.039560407

= $103.9560407

Now the annual percentage yield is

= Amount - principal

= $103.9560407 - $100

= 3.95%

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

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°