In 2005, it took 19.65 currency units to equal the value of 1 currency unit in 1915. In 1990, it took only 14.40 currency units to equal the value of 1 currency unit in 1915. The amount it takes to equal the value of 1 currency unit in 1915 can be estimated by the linear function [tex]$ V $[/tex] given by [tex]$ V(x) = 0.3629x + 14.9866 $[/tex], where [tex]$ x $[/tex] is the number of years since 1990. Thus, [tex]$ V(11) $[/tex] gives the amount it took in 2001 to equal the value of 1 currency unit in 1915. Complete parts (a) and (b) below.

(a) Use this function to predict the amount it will take in 2012 to equal the value of 1 currency unit in 1915.

(b) Use this function to predict the amount it will take in 2019 to equal the value of 1 currency unit in 1915.

Question

28-07-2024
Mathematics

Answered

From beginner to expert, IDNLearn.com has answers for everyone. Our platform is designed to provide quick and accurate answers to any questions you may have.

In 2005, it took 19.65 currency units to equal the value of 1 currency unit in 1915. In 1990, it took only 14.40 currency units to equal the value of 1 currency unit in 1915. The amount it takes to equal the value of 1 currency unit in 1915 can be estimated by the linear function [tex]$ V $[/tex] given by [tex]$ V(x) = 0.3629x + 14.9866 $[/tex], where [tex]$ x $[/tex] is the number of years since 1990. Thus, [tex]$ V(11) $[/tex] gives the amount it took in 2001 to equal the value of 1 currency unit in 1915. Complete parts (a) and (b) below.

(a) Use this function to predict the amount it will take in 2012 to equal the value of 1 currency unit in 1915.

(b) Use this function to predict the amount it will take in 2019 to equal the value of 1 currency unit in 1915.

Sagot :

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.

Now A Pile Of Rice Is Against The Wall With A Base Circumference Of 60 Chi And An Altitude Of 12 Chi. What Is The Volume?Another Pile Is At An Inner Corner, Wit

The Team Mascot Shoots A Rolled T-shirt From A Special T-shirt Cannon To A Section Of People In The Stands At A Basketball Game. The T-shirt Starts At A Height

Select The Correct Answer.Which Expression Is Equivalent To [tex]\frac{(x-1)^2}{x^2-x-12} \cdot \frac{x^2+x-6}{x^2-6x+5}[/tex] If No Denominator Equals Zero?A.

Which Of The Following Is True About Clinical Judgments? 1. Clinical Judgments Are Not Social Judgments. 2. Clinical Judgments Are Independent Of Self-confirmin

Compute The Amount Of Sales For Rita Company If Net Operating Income Is $30,000, Contribution Margin Is $100,000, And Variable Expenses Are $42,000.

Solve The Inequality [tex]|3x - 5| \ \textless \ X + 2[/tex].Sketch Your Solution On The Number Line And Leave Your Answer In Set-builder Notation.

Select The Correct Answer.Consider This Absolute Value Function:[tex]\[ F(x) = |x + 8| \][/tex]How Can Function [tex]$ F $[/tex] Be Written As A Piecewise Fun

Question 5 Of 10Students Should Complete The FAFSA As Soon As They Can AfterA. October 1 B. December 1 C. March 1 D. June 30

Deshaun Opened An Investment Account With $8800. At The End Of The Year , The Amount In The Account Had Increased By 7.5%. How Much Is This Increase In Dollars?

Pre-testBoth Old English And Modern English Poetry Use Alliteration, Which Is:A. A Long Pause.B. The Use Of Two Stressed Syllables.C. A Type Of Rhyme.D. The Rep

GinnyAnsweridn GinnyAnsweridn · Answer 1 · 2024-07-28T20:47:34-04:00

Certainly! Let's use the given linear function [tex]$ V(x) = 0.3629x + 14.9866 $[/tex] to predict the amount it will take in 2012 and 2019 to equal the value of 1 currency unit in 1915.

### Step-by-Step Solution:

#### Understanding [tex]$ x $[/tex]:
In the function [tex]$ V(x) $[/tex], [tex]$ x $[/tex] represents the number of years since 1990. Therefore, we need to calculate [tex]$ x $[/tex] for the years 2012 and 2019.

#### Calculate [tex]$ x $[/tex] for 2012:
[tex]\[ x_{2012} = 2012 - 1990 = 22 \][/tex]

#### Calculate [tex]$ x $[/tex] for 2019:
[tex]\[ x_{2019} = 2019 - 1990 = 29 \][/tex]

Now, we will use the function [tex]$ V(x) $[/tex] to find the amounts for these years.

#### Calculate the value for 2012:
[tex]\[ V(22) = 0.3629 \times 22 + 14.9866 \][/tex]
Using the given function, we find:
[tex]\[ V(22) \approx 22.9704 \][/tex]

Similarly,

#### Calculate the value for 2019:
[tex]\[ V(29) = 0.3629 \times 29 + 14.9866 \][/tex]
Using the given function, we find:
[tex]\[ V(29) \approx 25.5107 \][/tex]

### Summary:
- In 2012: It will take approximately 22.9704 currency units to equal the value of 1 currency unit in 1915.
- In 2019: It will take approximately 25.5107 currency units to equal the value of 1 currency unit in 1915.

Thus, we use the function [tex]$ V(x) $[/tex] to predict the future values in the years 2012 and 2019.

Sagot :

Other Questions