Answer:
The first annual depoisit will be of 3,373.49 dollars
Explanation:
Given the formula for future growing annuity
we need to solve for the yearly payment:
grow rate: 0.04
annual effective rate: 8% compounding semiannually:

r= 0.0816
FV 2,500,000
n 46
<em><u>Formula for future value fo an ordinary annuity:</u></em>


The first annual depoisit will be of 3,373.49 dollars
Answer:
C) cluster analysis
Explanation:
Regression analysis. The regression analysis determines the relationship between the two variables. Thus, one of these quantities (X) is given in advance(dependent) and is not random. The second value (U) is the independent and random number. The randomness of the second quantity can be explained for two reasons. First: Measuring the random number U, which depends on the number X, is associated with certain errors; second: The value of U may depend on other uncontrollable factors, in addition to being dependent on the value of the corresponding X value. In this case, we need to talk about the distribution of the random variable U against each value of the X variable. The main purpose of the regression analysis is to build a mathematical model that takes into account the factors affecting the physical process using experimental data and evaluating its accuracy. The least squares method is used for statistical estimation of the mathematical model's suitability to experimental data.
Discriminant analysis is a method used in statistics, pattern recognition, and machine learning to find a linear combination of attributes that define or distinguish two or more classes or events. The resulting combination can be used as a linear classifier or more often to reduce the size before classifying. LDA is closely related to variance analysis (ANOVA) and regression analysis, which try to express a dependent variable as a linear combination of other properties or dimensions. However, while variance analysis uses qualitative independent variables and a continuous dependent variable, discriminant analysis has continuous independent variables and a qualitative dependent variable.
Cluster analysis or clustering is a problem of grouping a number of objects. In this problem, objects must be in some way more similar to those in other groups to accommodate the same clusters (clusters). One of the main problems with data transmission is a common technique used in statistical data analysis. It is also used in machine learning, pattern recognition, image analysis, data retrieval, bioinformatics, data compression and computer graphics.
One-way analysis of variance (ANOVA) is used to calculate the significance of the difference between three and more independent means in a normally distributed series. ANOVA compares the arithmetic means of three or more groups alone; ANOVA result is also significant when at least one of these comparisons is significant. To measure the significance it will have the relation to the regression analysis that's why there will be dependent and independent variables as well.
Answer:
$20,000
Explanation:
Residual income is the income that is in excess of the minimum rate of return required on a company. So in this case the required return is 10% which is the minimum rate of return, any money made after the 10% return is residual income. First we need to find income
Income = Sales - Fixed costs - Variable Costs
=400,000-100,000-200,000
=100,000
Now we have to find the return, and we can find it by dividing income by total operating assets so return =
100,000/800,000=0.125= 12.5%
Residual income = Return - Required Return
= 12.5%-10%= 2.5%
The residual income is 2.5% of the operating assets so
800,000* 0.025=20,000
Answer:
Estimation of the non-value-added Cost:
a) Cost of automating the insertion process:
Machine time cost = 15/60 x $8 = $2
Material cost = 7.5 x $10 = $75
Total automation cost = $77
b) Cost of redesigning the gear:
Cost per setup hour = $50 x25% = $12.50
c) Movement cost:
Cost for movement = $20 x 6 = $120
d) Inspection cost:
Cost of inspection = 16,000 x $12 = $192,000
Explanation:
Non-Value Added activities, according to goleansixsigma.com, "are the process steps that do not meet one or more of the following criteria: 1) The step transforms the item toward completion (something changes). 2) The step is done right the first time (not a rework step). 3) The customer cares (or would pay) for the step to be done."
A non-value-added cost is a production expense that does not increase the amount customers are willing to pay for the finished product. Examples are inspection cost, movement cost, and automation cost.