Answer:
Semi-annually: A = $24 178.51
Quarterly: A = $24 205.73
Monthly: A = $24 224.13
Step-by-step explanation:
The formula for compound interest is
A = P(1 + r)ⁿ
A. Compounded semi-annually
Data:
P = $20 000
APR = 4.8 %
t = 4 yr
Calculations:
n = 4 × 2 = 8
r = 0.048/2 = 0.024
A = 20 000(1+ 0.024)⁸
= 20 000 × 1.024⁸
= 20 000 × 1.208 926
= $24 178.51
B. Compounded Quarterly
n = 4 × 4 = 16
r = 0.048/4 = 0.012
A = 20 000(1+ 0.012)¹⁶
= 20 000 × 1.012¹⁶
= 20 000 × 1.210 286
= $24 205.73
C. Compounded monthly
n = 4 × 12 = 48
r = 0.048/12 = 0.004
A = 20 000(1+ 0.004)⁴⁸
= 20 000 × 1.004⁴⁸
= 20 000 × 1.211 207
= $24 224.13
Answer:
Step-by-step explanation:
Hello
<u>Let's note the original speed of the car v</u>
it means that in 1 hour he is going v miles
so to go 200 miles it takes ( in hour)
If the speed of the car is v+5 than to go 200 miles it takes (in hour)
and this time is one hour less so we can write
We can multiply by v(v+5) both parts of the equation so
Only one is positive and this is is
So the original speed is 29.22144... mph
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
<h3>y*5-8=47</h3><h3>y*5=47+8</h3><h3>y*5=55</h3><h3>y=55/5</h3><h3>y=11</h3>
Answer:
Using a formula, the standard error is: 0.052
Using bootstrap, the standard error is: 0.050
Comparison:
The calculated standard error using the formula is greater than the standard error using bootstrap
Step-by-step explanation:
Given
Sample A Sample B
Solving (a): Standard error using formula
First, calculate the proportion of A
The proportion of B
The standard error is:
Solving (a): Standard error using bootstrapping.
Following the below steps.
- Open Statkey
- Under Randomization Hypothesis Tests, select Test for Difference in Proportions
- Click on Edit data, enter the appropriate data
- Click on ok to generate samples
- Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>
From the randomization sample, we have:
Sample A Sample B
So, we have: