The balance after one year if you deposit one $50 envelope each month, all year is $613.95.
<h3>What is the balance after one year?</h3>
The balance after 1 year can be determined using this formula:
Amount deposited monthly x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 5% /12 = 0.417%
- n = number of years = 1 x 12 = 12
Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082
Balance = 12.279082 x 50 = $613.95
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Answer:
E, B, A,
Step-by-step explanation:
C is wrong because it isn't decreasing
D is wrong because if X=0 the 5 to the power of zero would be 1 and 2*1= 2 meaning y goes lower than 5
F is wrong because if X=0 the 5 to the power of zero would be 1 and 2*1= 2 meaning the y intercept is 2 not 5
what question are you wanting to be answered?
<h3>
Answer: Choice C) line n</h3>
Explanation:
Tangent lines touch the circle at exactly one point.
Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
