After spending $3,450 for tables and $3,950 for chairs, a convention center manager finds that the total is 4% more than he spent on tables and chairs last year. to the nearest dollar, find the amount that he spent last year. a. $296 c. $7115 b. $4115 d. $7708

He spent $7,115

Step-by-step explanation:

Given

Expenses on chairs = $3,950

Expenses on table = $3,450

To calculate the amount he spent last year

1. We have to calculate the total amount he spent this year.

This is calculated as follows

Total amount = Expenses on Chairs + Expenses on Tables

Total Amount = $3,950 + $3,450

Total Amount = $7,400

2. From the question, we understand that he spends he spent 4% more than he spent last year.

Let the amount he spent last year be represented by x.

The relationship between his last year and this year's expenses is given as:

$7,400 = x + 4% of x -- convert percentage to decimal

$7,400 = x + 0.04 of x

$7,400 = x + 0.04x

$7,400 = 1.04x divide through by 1.04

$7,400/1.04 = 1.04x/1.04

$7,115.38 = x Reorder

x = $7,115.38

x = $7,115 Approximated.

Hence, the total amount the event manager spent last year is $7,115

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

it is only things thain can be deafeated

step-by-step explanation: