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3 years ago

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Mathematics

2 answers:

Musya8 [376]3 years ago

8 0

Answer: 1/4, 4/7, 5/8

Step-by-step explanation: There are three ways:

1. Convert each to a decimal:

1/4 = 0.25

4/7 = 0.571

5/8 = 0.625

2. Convert to a common denominator:

It looks like we can multiply each by a whole number that will result in a denominator of 56:

1/4 *(14/14) = 14/56

4/7*(7/7) = 35/56

5/8 *(8/8) = 32/56

Now they can be directly compared to get the answer.

3. Estimate the values.

5/8 is clearly larger than 1/4. 4/7 is somewhere in between. Therefore, 1/4, 4/7, 5/8

Marianna [84]3 years ago

3 0

Answer:

Order from Least to Greatest

1/4 < 4/7 < 5/8

Step-by-step explanation:

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Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour

MrRissso [65]

Answer:

He can work a maximum of 2 8-hour days for the remainder of the week

Step-by-step explanation:

Firstly, from the question, we are made to know that the maximum work hours is 40 hours.

Now, we know that he has already worked 24 hours this week, the number of hours remains to work will be 40-24 = 16 hours

Now, given that his working hour is 8-hours per day, we want to know the number of days he has to work for the remainder of the week

Mathematically, that would be 16 hours divided by 8-hours days

That is 16/8 = 2

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4 years ago

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Find all zeros for (2x-1)(x-5)

NeTakaya

To do this set each of the factors to 0:

2x - 1 = 0
2x = 1
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x - 5 = 0
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3 years ago

what is an equation of the line that passes through the point (8,-3) and is perpendicular to the line y-15=6(x+2)

Tcecarenko [31]

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Step-by-step explanation:

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3 years ago

Calculate the surface area of the figure below.

makvit [3.9K]

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Step-by-step explanation:

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3 years ago

Please Help !!Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will

VikaD [51]

Answer:

Albert = $2159.07; Marie = $2244.99; Hans = $2188.35; Max = $2147.40

Marie is $10 000 richer

Step-by-step explanation:

Albert

(a) $1000 at 1.2 % compounded monthly

$A = P\left(1 + \dfrac{r}{n}\right)^{nt}$

A = 1000(1 + 0.001)¹²⁰ = $1127.43

(b) $500 losing 2%

0.98 × 500 = $490

(c) $500 compounded continuously at 0.8%

$\begin{array}{rcl}A & = & Pe^{rt}\\& = & 500e^{0.008 \times 10}\\& = &\mathbf{\$541.64}\\\end{array}\\$

(d) Balance

Total = 1127.43 + 490.00+ 541.64 = $2159.07

Marie

(a) 1500 at 1.4 % compounded quarterly

A = 1500(1 + 0.0035)⁴⁰ = $1724.99

(b) $500 gaining 4 %

1.04 × 500 = $520.00

(c) Balance

Total = 1724.99 + 520.00 = $2244.99

Hans

$2000 compounded continuously at 0.9 %

$\begin{array}{rcl}A& = &2000e^{0.009 \times 10}\\& = &\mathbf{\$2188.35}\\\end{array}\\$

Max

(a) $1000 decreasing exponentially at 0.5 % annually

A = 1000(1 - 0.005)¹⁰= $951.11

(b) $1000 at 1.8 % compounded biannually

A = 1000(1 + 0.009)²⁰ = $1196.29

(c) Balance

Total = 951.11 + 1196.29 = $2147.40

Marie is $ 10 000 richer at the end of the competition.

7 0

4 years ago