Answer:
Annual deposit (PMT) = $1,567,060.39
Explanation:
Given:
Future value of annuity due = $8,000,000
Rate of interest(r) = 10% = 0.1
Number of year (n) = 4 year
Annual deposit (PMT) = ?
Computation of annual deposit :
\\\\8,000,000 = PMT [\frac{(1+0.1)^4-1}{0.1} ](1+0.1)\\\\8,000,000 = PMT [\frac{(1.1)^4-1}{0.1} ](1.1)\\\\8,000,000 = PMT [\frac{(0.4641}{0.1} ](1.1)\\\\8,000,000 = PMT [5.1051]\\PMT = 1,567,060.39](https://tex.z-dn.net/?f=Future%5C%20value%5C%20of%5C%20annuity%5C%20due%20%3D%20PMT%20%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%20%5D%281%2Br%29%5C%5C%5C%5C8%2C000%2C000%20%3D%20PMT%20%5B%5Cfrac%7B%281%2B0.1%29%5E4-1%7D%7B0.1%7D%20%5D%281%2B0.1%29%5C%5C%5C%5C8%2C000%2C000%20%3D%20PMT%20%5B%5Cfrac%7B%281.1%29%5E4-1%7D%7B0.1%7D%20%5D%281.1%29%5C%5C%5C%5C8%2C000%2C000%20%3D%20PMT%20%5B%5Cfrac%7B%280.4641%7D%7B0.1%7D%20%5D%281.1%29%5C%5C%5C%5C8%2C000%2C000%20%3D%20PMT%20%5B5.1051%5D%5C%5CPMT%20%3D%201%2C567%2C060.39)
Annual deposit (PMT) = $1,567,060.39
Answer:
The bill is $57.5
Explanation:
The computation of bill is shown below:
= Price for starters + price for main course + price for deserts + service charge tax
= $12.50 + $28.55 + $8.95 + $7.5
= $57.50
The service charge would be calculated by considering all food costing.
In mathematically
= Service tax rate × ( Price for starters + price for main course + price for deserts)
= 15% × ($12.50 + $28.55 + $8.95)
= 15% × $50
=$7.5
Hence, the bill is $57.5
Artificial selection is the intentional reproduction of individuals in a population that have desirable traits. In organisms that reproduce sexually, two adults that possess a desired trait — such as two parent plants that are tall — are bred together.
Answer:
$5,000 favorable
Explanation:
The computation of the total variable overhead variance is given below:
= Budgeted machine hours allowed for actual output × Budgeted variable overhead rate per machine hour - Actual total variable overhead
= 32,000 hours × $2.50 - $75,000
= $80,000 - $75,000
= $5,000 favorable
Since the favorable is more than the actual so it should be favorable
Answer:
$11,026 Favorable
Explanation:
The computation of the spending variance for plane operating costs in November is shown below:
= Budgeted cost - Actual cost
= [(84 × $3,160) + (252 × $18) + $593,00] - $318,250
= $329,276 - $318,250
= $11,026 Favorable
