Because ABCD is an isosceles trapezoid, the angles A and D are congruent.
BA and CD are congruent (given) and AD is congruent to itself (reflexive property).
Then triangles BAD and CDA form a pair of SAS triangles, so they are congruent.
BD and CA are corresponding parts in those triangles, so they are congruent (CPCTC).
compound interest equation for annually compounded

A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t

divide both sides by 1000

take ln of both sides

use ln rule 

divide both sides by ln(1.055)

using a calculator, we get that t=8.18544 yrs
so about 8.2yrs
Answer:
14708
Step-by-step explanation:
The growth factor is 100% + 2.5% = 102.5% = 1.025
Population after 5 years
= 13000 × 
≈ 14708 ( to the nearest whole number )
Answer:
D. 850 square foot
Step-by-step explanation:
Area of a space is the length
multiply by the width
The area for the kitchen, dining, office and sunroom will be calculated independently and added together.
Note the word "and the office and sunroom are each 10 feet by 10 feet"
Kitchen area = 10 ft x 15ft= 150sqft
Living/Dining area = 20ftx25ft= 500sqft
Sunroom = 10ftx10ft= 100sqft
Office= 10ftx10ft=100sqft
Therefore total surface area is the cumulative of the 4 areas
150sqft+500sqft+100sqft+100sqft= 850sqft
We are given the following information:
<em />
<em>each person uses 3/8 a box</em>
<em>there are 6 boxes</em>
Because each box is
, and there are 6 boxes, we know that 1 person is
, or
.
In order to find how many people can use the 6 boxes, we can divide it by 3 (for each use):
48 / 3 = 16
Therefore, 16 people can share the worms.
<em>Hope this helps! :)</em>