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3 years ago

Need help on #7 help if u know how to solve thanks!

Mathematics

2 answers:

mash [69]3 years ago

8 0

7a) 302.5
7b) 302500
Hope this helps! :)

Elanso [62]3 years ago

8 0

This is a great method
I call it dot traveling
if you have 3.025 and 100 has 2 zeros you move your dot by 2 spaces so 302.5
next
if you have 10^5 you will need to look only at the five (note: this is ONLY on the number 10)
so we are going to move 3.025 by 5 spaces
notice how it doesnt have enough space? Add zeros!
So here 3.025 * 10^5 = 302500!
Hope I helped

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A toy manufacturer uses 90 pints of plastic to make 600 action figures. If they use 810 pints of plastic in an 8 hour shift, how

lutik1710 [3]

Answer:

The number per hour = 5400 ÷ 8 = 675 action figures

Step-by-step explanation:

* Lets explain how to solve the problem

- A toy manufacturer uses 90 pints of plastic to make 600 action figures

- they use 810 pints of plastic in an 8 hour shift

- To find how many action figures are made per hour we must to find

how many action figures in an 8 hour shift and then find the number

of the action figures per hour

∵ The toy manufacture uses 90 pints of plastic to make 600 action

figures

∵ They use 810 pints

- Lets find how many action figures are made by this numbers of pints

∴ 90/600 = 810/x ⇒ x is the number of action figures

- Use the cross multiplication to find x

∴ 90 x = 810 × 600

∴ 90 x = 486000 ⇒ divide both sides by 90

∴ x = 5400

∴ They will use 810 pints to make 5400 action figures

∵ They use 810 pints in an 8 hour shift

∴ They make 5400 action figures in 8 hours

- To find the number of the action figures per hour divide the number

of them in 8 hours by 8

∴ The number per hour = 5400 ÷ 8 = 675 action figures

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3 years ago

4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take

Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

$A(t)=P(1+r)^t$

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t. Filling in:

$33800=4400(1+.075)^t$ and

$33800=4400(1.075)^t$

Begin by dividing both sides by 4400 to get

$7.681818182=1.075^t$

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

$ln(7.6181818182=ln(1.075)^t$