The volume of pyramid B (3,136 in.³) is 323% bigger than the volume of pyramid B (972 in.³).
<h3>What is the Volume of a Square Pyramid?</h3>
Volume of square pyramid = 1/3(a²)h
Given the following:
- Volume of pyramid B = 3,136 in.³
- Base side length of pyramid A (a) = 18 in.
- Height of pyramid A (h) = 9 in.
Volume of square pyramid A = 1/3(a²)h = 1/3(18²)9 = 972 in.³
3,136/972 × 100 = 323%
Pyramid B volume is 323% bigger than the volume of pyramid A.
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Answer:
the 2nd 3rd and 4th answers are the correct ones
Step-by-step explanation:
hope this helps you
Answer: oof thats a hard one ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.
We have given that,
investment to double at a 3 3/4% interest rate,
<h3>When will the investment double in value?</h3>
The future value using continuous compounding is:
= Amount x e ^ (rate x time)
Interest is
= 3.75%
<h3>What is the formula of an exponential function?</h3>
2 = e ^ (0.0375 x time)
In2 = 0.0375 x time
t = In2 / 0.0375
t= 18.5 years
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