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Temka [501]
3 years ago
11

A water bottle holds Fraction 5 over 8 liter of water when it is Fraction 3 over 4 full. Which statement best describes the quot

ient of 5 over 8division sign3 over 4?
Mathematics
1 answer:
butalik [34]3 years ago
6 0

This question is incomplete because it lacks the appropriate statements required to answer the question.

Complete Question

A water bottle holds Fraction 5 over 8 liter of water when it is Fraction 3 over 4 full.

Which statement best describes the quotient of 5 over 8division sign3 over 4?

a) The maximum amount of water the bottle can hold is Fraction 6 over 5 liters.

b) The amount of water that can be still poured in the bottle is Fraction 5 over 6 liter.

c) The amount of water that can be still poured in the bottle is Fraction 6 over 5 liters.

d) the maximum amount of water that the bottle can hold is Fraction 5 over 6 liter.

Answer:

d) the maximum amount of water that the bottle can hold is Fraction 5 over 6 liter.

Step-by-step explanation:

From the question we are told:

A water bottle holds Fraction 5 over 8 liter of water

Mathematically = 5/8 Liters

when it is Fraction 3 over 4 full.

Mathematically = 3/4

Which statement best describes the quotient of 5 over 8division sign3 over 4

The above statement is expressed mathematically as:

= 5/8 ÷ 3/4

= 5/8 / 3/4

Hence, this is calculated as:

= 5/8 × 4/3

= 20/24

= 5/6

Therefore, the statement that best describes this is option d) the maximum amount of water that the bottle can hold is Fraction 5 over 6 liter.

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8 0
3 years ago
Yvette is considering taking out a loan with a principal of $16,200 from one of two banks. Bank F charges an interest rate of 5.
umka21 [38]
Hi there
First find the monthly payment of each offer to see which monthly payment is lower
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value
PMT monthly payment
R interest rate
K compounded monthly 12
N time
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]

Bank F
PMT=16,200÷((1−(1+0.057÷12)^(
−12×8))÷(0.057÷12))
=210.53

Bank G
PMT=16,200÷((1−(1+0.062÷12)^(
−12×7))÷(0.062÷12))
=238.21

From the above the monthly payment of bank f is lower than the bank g
And since the lifetime of bank g is lower than bank f the answer is
b. Yvette should choose Bank F’s loan if she cares more about lower monthly payments, and she should choose Bank G’s loan if she cares more about the lowest lifetime cost.

Good luck!


6 0
3 years ago
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