Step-by-step explanation:
50% interest annually.
that means he gets 50% interest of the invested capital every year.
and that means he gets 50% of $70 in one year.
70 = 100%
1% = 100%/100 = 70/100 = $0.70
50% = 1%×50 = 0.7 × 50 = $35
he will earn $35 interest in one year.
as you noticed: 50% simply means 1/2 (as 100% stands for the whole).
Answer:
P(O and O) =0.1296
P=0.3778
Step-by-step explanation:
Given that
blood phenotypes in a particular population
A=0.48
B=0.13
AB=0.03
O=0.36
As we know that when A and B both are independent that
P(A and B)= P(A) X P(B)
The probability that both phenotypes O are in independent:
P(O and O)= P(O) X P(O)
P(O and O)= 0.36 X 0.36 =0.1296
P(O and O) =0.1296
The probability that the phenotypes of two randomly selected individuals match:
Here four case are possible
So
P=P(A and A)+P(B and B)+P(AB and AB)+P(O and O)
P=0.48 x 0.48 + 0.13 x 0.13 + 0.03 x 0.03 + 0.36 x 0.36
P=0.3778
Answer:
The scale factor of a dilation from ABCD to RSTU is 
Step-by-step explanation:
We know that the rectangle ABCD is similar to rectangle RSTU.
Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS
Working with the lengths of the sides :
DC.(Scale factor) = UT
AB.(Scale factor) = RS
Replacing with the values of the lengths (Scale factor : SF) :


Notice that the scale factor is dimensionless.
We can verify this result with the sides AD and BC :


The scale factor (SF) is 
Answer:
y = x - 4
Step-by-step explanation:
m, gradient = (5 - 3)/(9-7) = 1
Formula : x - x1 = m( y - y1 )
y - 3 = 1 ( x -7)
Equation : y = x -4
5n(n^2+n+7)-3n(n^2+2n)
<span>5n^3+5n^2+35n-3n^3-6n^2 </span>
<span>2n^3-n^2+35n </span>
<span>n(2n^2-n+35)</span>