In the question, continuously should be annually.
Solution:
Applicable formula is;
A = P(1+r)^n
Where;
A = Total amount after 30 years = $9,110
P = Amount invested = $5,000
r = Annual interest rate in decimals
n = Number of years = 30
Substituting;
9110 = 5000(1+r)^30
9110/5000 = (1+r)^30
1.822 = (1+r)^30
Taking natural logs on both sides;
ln (1.822) = 30 ln (1+r)
0.5999 = 30 ln (1+r)
0.5999/30 = ln (1+r)
0.019998 = ln (1+r)
Taking exponents on both sides
e^0.019998 = 1+r
1.0202 = 1+r
r = 1.0202 -1 = 0.0202 =2.02%
Therefore, annual interest rate should be 2.02%.
Answer:
Variable manufacturing overhead rate variance= $664 favorable
Explanation:
Giving the following information:
Variable overhead 0.2 hours $ 5.10 per hour
The company used 1,660 direct labor-hours to produce this output. The actual variable overhead cost was $7,802.
<u>To calculate the variable overhead rate variance, we need to use the following formula:</u>
Variable manufacturing overhead rate variance= (standard rate - actual rate)* actual quantity
Actual rate= 7,802/1,660= $4.7
Variable manufacturing overhead rate variance= (5.1 - 4.7)*1,660
Variable manufacturing overhead rate variance= $664 favorable
Answer:
Through the newspaper ads.
Explanation:
Personal selling is one of the ways of selling of products by various businesses where the seller and the customers come in direct contact or face to face in order to discuss the features, benefits, and worthiness of any product that the seller is interested in selling This can be done through direct face to face interaction, on telephones, through video conferencing, and also on the internet but not through newspaper ads.
Use the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 4500
PMTthe actual end-of-year payment?
R interest rate 0.12
N 4 equal annual installments
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT=4,500÷((1−(1+0.12)^(−4))÷(0.12))
PMT=1,481.55
