Each year, a school allocates a sum of money for the library. the amount allocated each year increases by 2.5% of the amount allocated the previous year. in 2005, the school allocated $2000. find the total amount allocated in the years 2005 to 2014 inclusive.

$66,505.8

Step-by-step explanation:

2005: $2,000

2006: $2,000*(1,25%)= $2,500

2007: $2,500*(1,25%)= $3,125

2008: $3,125*(1,25%)= $3,906.3

2009: $3,906.3*(1,25%)= $4,882.8

...

You can do this process in an excel table (attached to this answer) and you will find the total amount that the school allocates each year to the library until year 2014. Then you use the excel formula "SUM" to sum all the values found each year. You will find that the total amount allocated to the library between 2005 and 2014 is $66,505.8

answer is 144

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.