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3 years ago

.46 repeating as a fraction in simplest form

Mathematics

1 answer:

My name is Ann [436]3 years ago

4 0

Answer:

7/15

Step-by-step explanation:

0.4 6 = 0 . 6 - 0.2

0.46 = 6/9 ⋅ 0.9 - 0.2

0.46 = 6/9 - 1/5

0.46 = 2/3 - 1/5

0.46 = 10/15 - 3/15

0.46 = 7/15

Note that 7 and 15 have no common factors larger than 1 , so this is in simplest terms.

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How do I find the perimeter of a triangle with sides 3ft 8in., 2ft 10in., and 4 ft?

Dmitriy789 [7]

Formula for triangle perimeter is: a + b + c. In this scenario we have:

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a + b + c =
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3 years ago

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Answer:

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Step-by-step explanation:

Well the slope is -4/-4 =1

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3 years ago

The explicit rule for a sequence and one of the specific terms is given. Find the position of the given

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Answer:

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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

3 years ago