Michelle opened her bank account on September 1st with $25 and continues to deposit $25 each month. Calculate the time Michelle will have a total of $500 in her account.
Answer:
19 months
Step-by-step explanation:
Initial deposit =$25
Monthly deposit = $25
Total deposit, y after x months can be modeled using the relation :
y = $25 + $25x
To have a total of $500 ; y = 500
$500 = $25 + 25x
$500 - $25 = $25x
$475 = $25x
x = $475 / $25
x = 19 months
Hence, Michelle will have deposited a total of $500 in his account after 19 months
Answer:
Step-by-step explanation:
Which of the following would show that quadrilateral LMNP on the coordinate plane is a parallelogram?
Answer:
m<D=50
Step-by-step explanation:
The reason is that ABOC is a quadrilateral, so its angle add up to 360*. Each of the tangent angles, <ABO and <ACO, has a measure of 90*.
m<ABO + m<ACO + m<A + m<O = 360
90 + 90 + m<A + m<O = 360
m<A + m<O = 180
80 + m<O =180
m<O = 100
If the measure of central angle <O is 100*, what is the measure of inscribed <D?
The measure of a central angle is equal to the measure of the arc it intercepts. If m<O = 100*, then m BC = 100.
The measure of an inscribed angle is half of the measure of the arc it intercepts. If m BC = 100*, then m<D = 50
m<D=50