4 yrs
Step-by-step explanation:
Formulae for simple interest is;
A= P (1 + rt) Whereby;
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest per year in decimal; r = R/100
R = Rate of Interest per year as a percent; R = r * 100
t = Time Period involved in months or years
15300 = 3200 (1 + 106.5/100 *t)
15300/3200 = 1 + 1.065t
4.78125 – 1 = 1.065t
3.78125 = 1.065t
3.78125/1.065 = t
3.55 = t
Rounded off to the nearest whole number;
= 4
2x-2+x+3+x+11=180
4x+12=180
4x= 168
X= 45
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The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.
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Therefore the angle of depression from the lifeguard to the boy is 24°.
Answer:
David earns $10.14 per hour.
Step-by-step explanation:
David earns for an hour = $8.59
He gets benefits package that is equal to 18% of his hourly wages.
18% of 8.59
× 8.59
= 0.18 × 8.59
= $1.5462 ≈ $1.55
David's per hour earning = $8.59 + $1.55 = $10.14
David earns $10.14 per hour.
Answer:
0.8762 or 87.62%
Step-by-step explanation:
Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:
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Our x value ranges from 10 to 26 therefore let x=10 and we obtain:
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If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.
Now let's calculate the z value when x = 26 and so:
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Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.
Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:
0.9992 - 0.1230 = 0.8762
or 87.62%