Answer:
Option C.The decrease in the value of the motorcycle, which is 9%
Step-by-step explanation:
we have a exponential function of the form

where
a is the initial value
b represents growth or decay factor
If b >1 then it is an exponential growth
if 0<b<1 then it is an exponential decay
In this problem
a=$19,000
b=0.91 -----> it is exponential decay factor
Find the rate of decrease r
b=(1-r)
substitute
0.91=1-r
r=1-0.91=0.09
Convert to percentage
0.09*100=9%
therefore
0.91 represent the decrease in the value of the motorcycle, which is 9%
The goal is to get the volume as large as possible while the surface area is made as small as possible. Why? Because the volume is the amount of stuff you can hold and the surface area is the amount of material to make the container.
Consider an example of making a cup. The inside portion is the amount the cup can hold. The more liquid, the better. The cup makers want to use as little material as possible so that they reduce costs. If the cup makers produce a cup that has volume of 10 cubic inches and uses 10 square inches of material, then the surface area to volume ratio is 10:10 which reduces to 1:1. A more efficient cup is made if that same volume (10 cubic inches) can be made for less material say 5 square inches to make the ratio now 5:10 which reduces to 1:2.
So in summary, reducing the surface area to volume ratio will make more sense economically as the company makes more money while reducing costs (therefore increasing overall profit)
Answer:
almost 0%
Step-by-step explanation:
Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800
using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:
Sea sumatoria de x = SUMX, tenemos que:


= P (z => 3.75)
= 1 - P ( z < 3.75)
P = 1 - 0.999912
P = 0.000088
Which means that the probability is almost 0%
Area=legnth times width or
a=lw
if w=4/5l
and a=320 then subsitute 320 for a dn 4/5l for w
320=4/5l times l
multiply both sides by 5 to clear fraction
1600=4l times l
ad like terms
1600=4l^2
subtract 1600 from both sides
0=4l^2-1600
try and factor because if you have xy=0 then x and/or y=0 so
difference of 2 perfect squares where
if you have a^2-b^2 then that equals(a-b)(a+b) so
0=(2l)^2-(40)^2=(2l-40)(2l+40)
so 2l-40=0
add 40 to both sides
2l=40
divide by 2
l=20
if
2l+40=0
subtract 40 from both sides
2l=-40
divide 2
l=-20
since meausrements of real objects cannot be negative, wediscard this number
l=20 is thhe true legnth s
subsitute
w=4/5l
w=4/5(20)
w=80/5
w=16
legnth=20
width=16
II. Find the area of the ahaded region.
1. Area of the entire parallelogram- 64 in2
2. Area of rectangle in the middle- 12 in2
3. 64 - 12 = 52 in2
10)
1. 18 cm2
2. 4.5 cm2
3. 18 - 4.5 = 13.5 cm2
13)
Area= Base x Height
Area= 9 x 8
Area= 72 ft2
14)
Area= 1/2 height (base1 + base2)
Area= 1/2 x 24 x (30 + 28)
Area= 696 in2
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