The account balance after 3 years if the interest is compounded continuously is $5,142.62
<h3>How to find compound interest?</h3>
- Principal, P = $4,700
- Time,t = 3 years
- Interest rate, r = 3%
r = 3/100
r = 0.03 rate per year,
A = Pe^rt
A = 4,700.00(2.71828)^(0.03)(3)
= 12,775.916^0.09
A = $5,142.62
Therefore, the account balance after 3 years if the interest is compounded continuously is $5,142.62
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<h3>
Answer: -20</h3>
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Work Shown:
Let x be the location of E on the number line.
Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2
midpoint = (endpoint1 + endpoint2)/2
C = (E+F)/2
Plug in E = x, C = -8 and F = 4. Then solve for x
C = (E+F)/2
-8 = (x+4)/2
(x+4)/2 = -8
x+4 = 2(-8) .... multiplying both sides by 2
x+4 = -16
x = -16-4 .... subtract 4 from both sides
x = -20
The location of point E on the number line is -20
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As a check, lets add E and F to get E+F = -20+4 = -16
Then cut this in half to get -16/2 = -8, which is the proper location of point C
This confirms our answer.
1st Side: 8
2nd Side: 2x - 1
3rd Side: x
(8) + (2x - 1) > x (2x - 1) + x > 8 (x) + (8) > 2x - 1
2x + 7 > x 3x - 1 > 8 8 > x - 1
2x > -7 3x > 9 9 > x
x > -3.5 (disregard) x > 3 x < 9
3rd Side: x ⇒ (3 < x < 9)
2nd Side: 2x - 1 ⇒ 2(3) - 1 < x < 2(9) - 1 ⇒ 5 < x < 17
Answer: the 3rd side must be between 3 and 9, the 2nd side must be between 5 and 17
This is simple, what is the total degree of a triangle? 180
so add up 70 + 30 is 100, the answer to x is 80
Answer:
Step-by-step explanation:
Parallel line examples in real life are railroad tracks, the edges of sidewalks, marking on the streets, zebra crossing on the roads, the surface of pineapple and strawberry fruit, staircase and railings, etc
