Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Decrease rate (d)= 7%
Number of periods (n)= 7 years
Current population (PV)= 48,000
<u>First, to calculate the future value, we need to use the following decrease exponential formula:</u>
<u />
FV= PV*[(1+d)^-n]
<u>After 7 years:</u>
FV= 48,000*(1.07^-7)
FV= 29,892
Answer:
(x+3)² + (y+4)²=25
Step-by-step explanation:
The question is on equation of a circle
The distance formula is given by;
√(x-h)²+ (y-k)²=r
The standard equation of circle is given as ;
(x-h)²+ (y-k)²=r²
The equation of this circle with center (-3, -4) and radius 5 will be;
(x--3)² + (y--4)²=5²
(x+3)² + (y+4)²=25
Answer:

Step-by-step explanation:
becauseby pytagorean theorem we get

16+81=c squared
97 =c squared
c=radical 97
The box with the bunk bed will not fit in the mini van
Step-by-step explanation:
Step 1 :
Given
Length of the cuboid = 6 feet
Width of the cuboid = 2 feet
Height of the cuboid = 3 feet
The diagonal of the cuboid is

= 7 feet
Step 2 :
The utmost length of the diagonal of the box which the minivan can hold is 6.8 feet
The length of the diagonal of the box containing the bunk bed is 7 feet which is greater than 6.8 feet.
Hence the trunk of the mini van cannot hold the bunk bed
That would be
10x > 4x - 2