Answer:
a) $903.3
b) $907.14
c) $909.13
d) $910.47
Explanation:
Data provided in the question:
Principle amount = $675
Now,
Future value =
here,
n is the number of periods
r is the Annual rate of interest
t is the time in years
Thus,
a) For 6% compounded annually for 5 years
r = 6% = 0.06
n = 1
t = 5
Future value = $675 ×
or
Future value = $675 × 1.338226
or
Future value = $903.3
b) For 6% compounded semiannually for 5 years
r = 6% = 0.06
n = 2
t = 5
Future value = $675 ×
or
Future value = $675 × 1.343916
or
Future value = $907.14
c) For 6% compounded quarterly for 5 years
r = 6% = 0.06
n = 4
t = 5
Future value = $675 ×
or
Future value = $675 × 1.346855
or
Future value = $909.13
d) For 6% compounded monthly for 5 years
r = 6% = 0.06
n = 12
t = 5
Future value = $675 ×
or
Future value = $675 × 1.34885
or
Future value = $910.47
Answer:
$200,000
Explanation:
The value of the government obligation = $5,00,000, 8%, 20 years bonds payable at 103
Interest expenses = $5,000,000 * 8/100 * 6/12 = $200,000.
Thus, $200,000 will be reported as debt service expenses in the fiscal year 20X7.
Favorable variance is the variance causes operating income to be greater than the budgeted operating income.
A favorable variance is wherein real income is greater than budget, or real expenditure is less than budget. That is similar to a surplus in which expenditure is much less than the available earnings.
Is Favorable variance usually accurate?
Favorable variances are defined as either generating greater revenue than expected or incurring fewer fees than expected. Damaging variances are the other. Much less revenue is generated or greater prices incurred. Either may be correct or terrible, as these variances are based on a budgeted amount.
How do you inform if a variance is favorable variance or destructive?
If sales have been better than expected, or expenses were decrease, the variance is favorable variance. If sales have been decrease than budgeted or costs were better, the variance is detrimental.
Learn more about favorable variance here:- brainly.com/question/28268911
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Answer:
We estimate the material is bronze, which has a modulus E=120 GPa.
Explanation:
With the dimensions of the rod, the force applied and the maximum elongation, we can estimate E, the Young's modulus, which is a property of the material.
The Young's modulus measures the stiffness of a solid material, relating the force applied per unit of area and the elongation per unit of length.
Note: lb-force per square inch is equal to psi.
To estimate which material is, we have to look in a Young's modulus list of materials to look for one that has a E near 20.6 Mpsi (or 142 GPa).
The closest material is bronze, which has a modulus E=120 GPa.
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