X X X X X MyPath Home Reminder Round Blackboard Learn Content elearning.kctcs.edu/ultra/courses/_493523734_1/cl/outline В W + 6/8 рoints +Ask Your Teacher В Мy Notes 6. Previous Answers CraudColAlg6 4.3. EX.01 1 .MI. You have invested money in a savings account that pays a fixed monthly interest on the account balance. The following table shows the account balance over the first 5 months. Time in months Savings balance $1500.00 Ш $1521.00 $1542.29 $1563.88 $1585.77 $1607.97 1 2 3 4 5 (a) How much money was originally invested? 1500 (b) Show that the data are exponential. (Round your answer to three decimal places.) which shows that the data is exponential Each successive ratio of new/old is 1.014 Find an exponential model for the account balance. (Let t be the time in months and B the savings balance in dollars. Round your parameters to three decimal places.) B(t) 1500(1.014) (c) What is the monthly interest rate? (Round your answer to one decimal place.) 1.4 (d) What is the yearly interest rate? (Round your answer to one decimal place.) 10:41 PM 11/22/2019 X + Reminder Round all answ Screenshot 2019-11-22 2 X X X Blackboard Learn MyPath Home Content elearning.kctcs.edu/ultra/courses/_493523734_1/cl/outline В W 1500(1.014) B(t) (c) What is the monthly interest rate? (Round your answer to one decimal place.) 1.4 Ш (d) What is the yearly interest rate? (Round your answer to one decimal place.) 18.15 (e) Suppose that you made this investment on the occasion of the birth of your daughter. Your plan is to leave the money in the account until she starts college at age 19. How large a college fund will she have? (Round your answer to the nearest cent.) 35706 (f) How long does it take your money to double in value? (Round your answer to two decimal places.) X months How much longer does it take it to double in value again? (Round your answer to two decimal places.) months Need Help? Read It Master It Talk to a Tutor Submit Answer Practice Another Version Show all SC1.png 10:42 PM O 11/22/2019 X
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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