Answer:
17
Step-by-step explanation:
We have the following equation for compounding annual interest
AV=PV(1+i)ⁿ
We have
19200=7400(1+.06)ⁿ
Solve for n
divide both sides by 7400
2.594=(1.06)ⁿ
then use the following rule for exponents
which means that
Solve and get
16.362
which rounds to 17
Answer:
f(-1) = 2
Step-by-step explanation:
To evaluate this function at x = -1, replace "x" in the equation with (-1) (you should use the parentheses as indicated here).
f(x)=x²-3x-2 becomes
f(-1)=(-1)² - 3(-1) -2, or
f(-1) = 1 + 3 - 2, or
f(-1) = 2
Answer: Same-Side Interior Angles Theorem
Step-by-step explanation:
- Same-Side Interior Angles Theorem says that when two lines are parallel and a transversal intersects it , then the angles on the same interior side are supplementary.
We are given that Two parallel lines PQ and RS are drawn with KL as a transversal intersecting PQ at point M and RS at point N.
Angle QMN is shown congruent to angle LNS.
Also, angle QML and angle SNK are the angles lies on the same side of the transversal.
It means the measure of angle QML is supplementary to the measure of angle SNK [ By Same-Side Interior Angles Theorem ]
Answer:
Step-by-step explanation:
(x+30) + (x-23) + (2x-7) = 180 degrees
4x = 180
x = 45
m<1 = x+30 = 75 degrees
m<2 = x-23 = 22 degrees
