The value of the final deposit is 5000. The value of the one a year previously is 5000*1.1 = 5500. The one previous to that has a value of 5000*1.1^2 = 6050. The first deposit has a value of 5000*1.1^3 = 6655.
The total value of the 4 deposits is
.. 6665 +6050 +5500 +5000 = 23,205
You will have $23,205 just after you make the 4th deposit.
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This is the sum of 4 terms of a geometric sequence with common ratio 1.1 and initial value 5000. That can be calculated as
.. a0*(r^n -1)/(r -1)
.. 5000*(1.1^4 -1)/(1.1 -1)
.. = 5000*4.641
.. = 23,205
14.7 dollars because you do 15 x 0.98 dollars that is what you must do to get the answer
Answer:
110°
Step-by-step explanation:
This quadrilateral have the same size in AD and CD, and BA and CA, so it means that, if you cut this figure in the middle (from B to D), the two triangles will be identical, and the sum of the internal angles of a triangle is 180°, so:
(110°÷2) + (30°÷2) + <C = 180°
55° + 15° + <C = 180°
70° +<C = 180°
<C = 180° - 70°
<C = 110°
And you can test it making the sum of the internal angles of the quadrilateral. The sum of the internal angles of a quadrilateral is 360°, and the angles A and C have the same measure because AD=CD and AB=BC, so:
<A + <B + <C + <D
110° + 110° + 110° + 30° = 360°
Answer:
20 cubic inches
Step-by-step explanation:
Answer:
probability of picking a yellow =0.4706
a blue or green = 0.2941
an orange = 0 ( there is no orange bag)