A = Pe^rt
Amount of interest paid = Principal*e^ (rate*time)
(The rate must be in decimal form)
3.15% / 100 = .0315
1,512 = P[e^(.0315*12)]
1,512 / e^(.0315*12) = P
1036.06 = P
$1036.06 was the Principal
** I left that value unrounded to the hundreds place because one doesn’t round with money. :)
Good luck!
Answer:
J=15t+50
Step-by-step explanation:
The equation to represent this situation will be in the form J=mt+b where b is the starting value of love units, m represents the "love units" that are multiplied by the number of week, t is the number of weeks, and J represents Jack's love at that specific week.
The equation becomes: J=15t+50
To check, the equation should equal 50 when t=0, 65 when t=1, and 80 when t=2.
Checking t=0:
J=15(0)+50=0+50=50
Checking t=1:
J=15(1)+50=15+50=65
Checking t=2:
J=15(2)+50=30+50=80
The equation J=15t+50 does model the behavior of Jack's love at any week t based on the given data. Note that the equation used was based on slope intercept form (y=mx+b) due to the given data having a linear relationship.
Answer:
m<W = 103°
Step-by-step explanation:
First, find the value of x
m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)
11x - 29 + 6x + 5 = 180 (substitution)
Add like terms
17x - 24 = 180
Add 24 to both sides
17x = 180 + 24
17x = 204
Divide both sides by 17
17x/17 = 204/17
x = 12
Find m<W:
m<W = 11x - 29
Plug in the value of x
m<W = 11(12) - 29 = 132 - 29
m<W = 103°
D. Circumference to Diameter<span />
Answer:
x=3
Step-by-step explanation:
Keep in mind that the equation of the y-axis is simply x=0. A line parallel to the y-axis that passes thru x = 3 has the equation x=3. That's it.
You cannot write this in slope intercept form because vertical lines don't have defined slopes.
