Answer:
<h3>12</h3>
Step-by-step explanation:
The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;
A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}
Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12
Answer: A) ΔABD ≡ ΔECD
<u>Step-by-step explanation:</u>
Match up the letters of the congruent sides.
AD = ED and BD = CD
A D B D → ABD
E D C D → ECD
This can be written in any order as long as the letters are matched properly. A & E, D & D, B & C
ADB or BDA or ...
EDC CDE
The only correct option provided is option A.
Initial is 200
Amount deposited each month = d
Current equation is '200 + 5d'
We know he gets a cheque worth 3x what he has so far, so 3*(200+5d) = 600+15d
He adds this to what he has, do 200 + 5d + 600 +15d, or simply
800 + 20d
We know that this amount is 300 more than the amount be needs (3000), so 800 + 20d = 3000 + 300, or
800 + 20d = 3300
Subtract 800 from both sides, to get
20d = 2500
Divide both sides by 20 to isolate d, so you end up with
d = 125
He deposits $125 per month
