Answer:
R = 5% per year
Step-by-step explanation:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 4 × [(4,835.71/3,092.00)^1/(4)(9) - 1]
r = 0.05
Then convert r to R as a percentage
R = r * 100
R = 0.05 * 100
R = 5%/year
Summary:
The interest rate required to get a total amount of $4,835.71 from compound interest on a principal of $3,092.00 compounded 4 times per year over 9 years is 5% per year.
$900+ $288( interest after 8 years)= $1, 188( total balance)
Answer: Not unusual.
Step-by-step explanation:
We know that the z-scores lower than -1.96 or higher than 1.96 are considered as unusual.
Given : Sample size : n= 65
Sample mean = 
Standard deviation : 
Formula for z-score : 
At x= 213
Since , -1.96< 0.17 <1.96
It means the probability of a sample mean being greater than 213 is not unusual.
Answer:
k =1
Step-by-step explanation:
Solve for k:
0.5 k + 2.5 = 2 (k + 0.5)
Expand out terms of the right hand side:
0.5 k + 2.5 = 2 k + 1
Subtract 2 k from both sides:
(0.5 k - 2 k) + 2.5 = (2 k - 2 k) + 1
0.5 k - 2 k = -1.5 k:
-1.5 k + 2.5 = (2 k - 2 k) + 1
2 k - 2 k = 0:
2.5 - 1.5 k = 1
Subtract 2.5` from both sides:
(2.5 - 2.5) - 1.5 k = 1 - 2.5
2.5 - 2.5 = 0:
-1.5 k = 1 - 2.5
1 - 2.5 = -1.5:
-1.5 k = -1.5
Divide both sides of -1.5 k = -1.5 by -1.5:
(-1.5 k)/(-1.5) = (-1.5)/(-1.5)
(-1.5)/(-1.5) = 1:
k = (-1.5)/(-1.5)
(-1.5)/(-1.5) = 1:
Answer: k = 1
Answer:
Step-by-step explanation:
The degree of the function is odd, so the ends tend in opposite directions. The leading coefficient is negative, so the right end (as x gets large) will tend toward -∞. Then the left end tends toward +∞.
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If the degree is even, both ends tend in the same direction. That direction matches the sign of the leading coefficient.
