The total amount is $ 1015.82 and interest amount is $ 165.82
<em><u>Solution:</u></em>
<em><u>The formula for amount when interest is compounded annually is:</u></em>
Where,
"A" is the total amount
"P" is the principal
"r" is the rate of interest in decimal form
"n" is the number of years
<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>
P = 850
t = 9 years
<em><u>Substituting the given values we get,</u></em>
Thus total amount is $ 1015.82
Interest amount = Total amount - principal
Interest amount = 1015.82 - 850
Interest amount = 165.82
Thus total amount earned is $ 1015.82 and interest amount is $ 165.82
Answer:
Step-by-step explanation:
Since we have points (-1,5) and (3,4) we can find the slope m of y=mx+b
m=(y2-y1)/(x2-d1)=(5-4)/(-1-3)=1/-4=-1/4 so we have
y=-x/4+b, using point (3,4) we can solve for the y intercept, b.
4=-3/4+b, b=19/4, so the line is
y=(-x+19)/4
Answer:
B. {16, 19, 20}
Step-by-step explanation:
The <em>triangle inequality</em> requires for any sides a, b, c you must have ...
a + b > c
b + c > a
c + a > b
The net result of those requirements are ...
- the sum of the two shortest sides must be greater than the longest side
- the length of the third side lies between the difference and sum of the other two sides
__
If we look at the offered side length choices, we see ...
A: 8+11 = 19 . . . not > 19; not a triangle
B: 16+19 = 35 > 20; could be a triangle
C: 3+4 = 7 . . . not > 8; not a triangle
D: 5+5 = 10 . . . not > 11; not a triangle
The side lengths {16, 19, 20} could represent the sides of a triangle.
_____
<em>Additional comment</em>
The version of triangle inequality shown above ensures that a triangle will have non-zero area.
The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")
Answer:
Step-by-step explanation:
- (3⁴)⁻² * (3⁵)³ =
- 3⁴⁽⁻²⁾*3⁵⁽³⁾ =
- 3⁻⁸*3¹⁵ =
- 3⁻⁸⁺¹⁵ =
- 3⁷
Correct option is B. 3⁷
