Fancy Nails cost formula for electricity is $40 per operating day plus $0.15 per client served. Calculate Fancy Nails' electricity budget in a month when the business is going to be open for 24 days and they expect to serve a total of 2,100 clients.

$1275

Explanation:

A budget is a financial plan which estimates revenue and expenses for a period of time. This is usually money to be allocated for a particular purpose with the summary of all expenses to be incurred and how this expenses are going to be met.

Given that:

Fancy Nails cost formula for electricity = $40 per operating day plus $0.15 per client served.

Therefore, if the business is going to be open for 24 days and they expect to serve a total of 2,100 clients, the electricity budget is given as:

Electricity budget = ($40 × number of days to be open) + ($0.15 × number of clients) = ($40 × 24) + ($0.15 × 2100) = $960 + $315 = $1275

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.