Answer:
Given that:
The equation for the future value of a deposit earning compound interest is equation:
.....[1]
where,
P = the initial deposit
t = years invested
r = rate at which interest is compounded annually
.
n = number of times the interest is compounded per year
As per the statement:
After 10 years, a $2,000-dollar investment compounded annually has grown to $3600.
⇒P = $2000 and V(t) = $3600
Substitute in [1] we have;
Divide both sides by 2000 we have;
Taking log base 10 both sides we have;
⇒
Divide both sides by 10 we have;
⇒
Simplify":
Subtract 1 from both sides we have;
or
r = 0.06 = 6%
Therefore, 6% is the interest rate to the nearest whole-number percent
The gcf of 25 and 14 would be 2
Use the shell method. The volume is
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> - 5) <em>x</em> ² d<em>x</em>
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> ³ - 5<em>x</em> ²) d<em>x</em>
<em>V</em> = 2<em>π</em> (1/4 <em>x</em> ⁴ - 5/3 <em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 (3<em>x</em> ⁴ - 20<em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
<em>V</em> = 891<em>π</em>/2
Answer:
1 and 3/4 days are equal to 42 hours
Step-by-step explanation:
42 hours = (42 hours) (1 day / 24 hours)
42 hours = 42/24 days
Simplyfing the fraction: Dividing the numerator and denominator by 6:
42 hours = (42/6) / (24/6) days
42 hours = 7/4 days
42 hours = (4+3)/4 days
42 hours = (4/4+3/4) days
42 hours = 1 3/4 days
Answer: 0.023
Step-by-step explanation:
Given that:
Number of green balls = 9
Number of white balls = 8
Total number of balls = 9 + 8 = 17
Drawing with replacement :
Probability of white :
First draw = 8/17
2nd draw = 8/17
3rd draw =. 8/17
4th draw = 8/17
5th draw = 8/17
P(all 5 are white) = 8/17 * 8/17 * 8/17 * 8/17 * 8/17 = 32768/1419857
= 0.0230783
= 0.023
