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3 years ago

Please help I'm very confused on this!!

Mathematics

1 answer:

Effectus [21]3 years ago

7 0

Step-by-step explanation:

The formula for compound interest is

P = I (1 + r/n)^nt

where

P: the total amount of money in the account after a certain amount of time

I: the principal amount

r: the interest rate as a decimal

n: the number of times a year interest is compounded

t: the number of years passed

For Patrick:

P = 200 (1 + 0.02/12)^12*8

P = 200 (1 + 0.00166667)^96

P = 200 (1.00166667)^96

P = 200 * 1.00166667^96

P = $234.67

For Brooklyn:

P = 200 (1 + 0.04/4)^4*8

P = 200 (1 + 0.01)^32

P = 200 (1.01)^32

P = 200 * 1.01^32

P = $274.99

After 8 years, Patrick has $234.67 and Brooklyn has $274.99

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A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The client tells the manufacture

Zolol [24]

Answer:

The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

Step-by-step explanation:

Let the width of rectangular solid be x

We are given that the length of the container must be one meter longer than the width

So, Length of solid = x+1

We are also given that height must be one meter greater than twice the width

So, Height of solid = 2x+1

So, Volume of solid = $Length \times Width \times height$

Volume of solid = $(x+1) \times x \times (2x+1)$

Volume of solid = $(x^2+x)(2x+1)$

Volume of solid = $2x^3+x^2+2x^2+x=2x^3+3x^2+x$

We are given that a rectangular solid must have a volume of 84 cubic meters

So, $2x^3+3x^2+x=84\\2x^3+3x^2+x-84=0\\(x-3)(2x^2+9x-28)=0\\$

On equating

x-3=0

x=3

So, Length of solid = x+1=3+1 = 4 feet

Height of solid = 2x+1 =2(3)+1=7 feet

Width of solid = 3 feet

Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.

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3 years ago

14. Sharon earns $15 per item she sells plus a base salary of $75 per week. Write and solve an inequality to find how many items

BigorU [14]

$15x+75=750

750-75=675

15x=675

675/15=45

x=45 items per week.

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Please help. will give brainliest to the correct answer, Thanks!

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Answer:

Step-by-step explanation:

The dot is empty, so that means it does not include -3, which works.

It is moving right, indicating x is more than -3, which is also correct,

therefore it is C.

<em>Hope that helps!</em>

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Answer:

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