The answers to the questions
Answer:
$14400
Step-by-step explanation:
Given data
Principal= 6000
Time= 14 years
Rate= 10%
Let us use the simple interest expression to find the final amount
A=P(1+rt)
substitute
A=6000(1+0.1*14)
A=6000(1+1.4)
A=6000*2.4
A=$14400
Hence based on a simple interest model the final amount is $14400
0.433 is already rounded to the hundredths so to round it to the nearest tenths, remove the last number.
Your answer is 0.43
I have attached a screenshot with the images of the two popcorn bags used by the theater.
Part (a):Bag A:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 inBag B:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 inPart (b):To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3)
Surface area = 12 + 64 + 48
Surface area of bag A = 124 in²Bag B:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4)
Surface area = 16 + 48 + 48
Surface area of bag B = 112 in²From the above calculations, we can deduce that
the theater should choose bag B in order to reduce the amount of paper needed.
Hope this helps :)
She can buy maximum of
packages while staying within her budget.
Minimum spending limit
$
.
Maximum spending limit
$
.
Cost of one package of beads
$
.
Number of packages of beads bought
.
Cost of one package of charms
$
.
Let the number of packages of beads bought be
.








So, she can buy maximum of
packages while staying within her budget.
Learn more about solving inequalities here:
brainly.com/question/12189350?referrer=searchResults