Answer:
by the SAS postulate (side-angle-side)
Step-by-step explanation:
This is an overlapping triangles problem. Try drawing them separately, essentially pulling them apart. Mark side XY and XZ as congruent (given).
Angle X is shared by the two triangles, so angle X in triangle XAZ is congruent to angle A in triangle XBY.
Where is the shaded region?
If they drive in opposite directions it will take 1.66 hours for them to get 225 miles away from each other.
Answer:
$1,021,337.13
Step-by-step explanation:
The sum of present values of medical expenses is ...
30,000/1.05 +30,000(1.0513)/1.05^2 +30,000(1.0513^2)/1.05^3 +...
So, the series has an initial value of 30,000/1.05 and a common ratio of 1.0513/1.05. Its sum is given by ...
S = a(r^n -1)/(r -1)
where a = 30,000/1.05, n = 35, r = 1.0513/1.05.
Filling in these values and doing the arithmetic, we get ...
S = $1,021,337.13
You need an initial deposit of $1,021,337.13 to cover rising expenses for 35 years.
Answer:
after one month = 100*.05=
$5 earned + $100 already there= $105
after 2 months = $105*.05=
$5.25 earned + $105 already there= $110.25
after 3 months = $110.25*.05=
$5.51 earned + $110.25 already there=
$115.76 is how much she'll have in the account after 3 mos.
