Answer:
Step-by-step explanation:
the ratio of 24 to 36 is the same as x to 12
= 
then
12*()=x
= x
8 = x
that's it :)
I believe the area of the rectangle would be 338
Answer:(a) Co-ordinate rule is and
(b) Co-ordinates of B' and C' are and respectively.
Step-by-step explanation:
(a)
Here, the co-ordinates of A are translated to A'.
For the co-ordinates A and A', and
So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.
Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:
and .
(b)
Using the co-ordinate rule, we can find the co-ordinates of B' and C'.
For B, and .
So, of B' is
And, of B' is .
Therefore, co-ordinates of B' are .
For C, and .
So, of C' is
And, of C' is .
Therefore, co-ordinates of C' are .
Step-by-step explanation:
Answer:the total value of the account after 3 years is $7266
Step-by-step explanation:
Initial amount that Ryan invested into account is $500 This means that the principal is P, so
P = 7000
It was compounded annually. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 1.25%. So
r = 1.25/100 = 0.0125
It was compounded for 3 years. So
n = =3
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 7000 (1+0.0125/1)^1×3
A = 7000(1.0125 )^3= $7266
Answer: 0.0174
Step-by-step explanation:
Given : 
Let x be the random variable that represents the weight of the drumsticks.
We assume that the weight of the drumsticks is normally distributed.
Now, the z-score for x=2.23 ,
Using z-value table , we have
P-value =P(x≥2.23)=P(z≥2.11)=1-P(z<2.11)=1-0.9825708
=0.0174292≈0.0174 [Rounded nearest 4 decimal places]
Hence, the probability of the stick's weight being 2.23 oz or greater = 0.0174
