A family spent $7845 on vacations this year. If this family decreases the amount it spends on vacations by 2.75% every year, what is the amount the family will spend on vacations in 5 years?

$6,824.03 is the amount the family will spend on vacations in 5 years

Step-by-step explanation:

The formula A = P(1 + r)^n is appropriate in this problem, with the understanding that A represents the amount the family will spend on vacations in n years and P is the current spending amount.  Then:

A = ($7,845)(1 - 0.0275)^5, where we use -0.0275 to indicate that the amount DECREASES by 2.75% annually.  Simplifying this formula, we get:

A = ($7,845)(0.9725)^5, whose value to the nearest cent comes out to:

A = $6,824.03 is the amount the family will spend on vacations in 5 years.  

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.