Answer:
The certificate will be worth $5,559.92 on Ruth's 19th birthday.
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:

So


The certificate will be worth $5,559.92 on Ruth's 19th birthday.
Answer:

Step-by-step explanation:
defition of slope(m) of a line:

A=(-1,-5)=(Xa,Ya) then Xa= -1 and Ya= -5
B=(3,-3)=(Xb,Yb) then Xb=3 and Yb= -3

Answer:
x=17
Step-by-step explanation:
Since the triangles are congruent, the angles are equal
I≅ P
3x+4 = 72-x
Add x to each side
3x+4+x = 72-x+x
4x+4 = 72
Subtract 4 from each side
4x+4-4 = 72-4
4x= 68
Divide by 4
4x/4 = 68/4
x = 17
A unit rate will always end up having one as its denominator so divide 305 by 5 which is 61 rotations/1 minute.
Answer:
Step-by-step explanation:
X=
or