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3 years ago

What is the final amount if 1235 is increased by 4% followed by a 4% decrease?

Mathematics

2 answers:

klasskru [66]3 years ago

7 0

Answer: 1233.02

Step-by-step explanation:

4% = 0.04

1235 × 0.04 = 49.4 (the original number was increased by this amount)

1235 + 49.4 = 1284.4 (new number after increment)

1 284.4 × 0,04 = 51.376 (the number has been reduced by this amount)

1284.4 - 51.376 = 1233.024- final amount.

Rounded to 2 DP: 1233.02

madam [21]3 years ago

4 0

Answer:

1233.02 to 2 D.P.

Step-by-step explanation:

4 % = 0.04

So to obtain the amount after increase by 4% we multiply by 1.04:

1235 * 1.04 = 1284.4

Decreasing by 4%: we mutriply by 1 - 0.04 = 0.96:

1284.4 * 0.96

= 1233.024.

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A fair attended by 755,082 people altogether.What is the number rounded to the nearest ten thousand

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760,000

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6.4×10^5+36,000. need answered in scientific notation please. thank you

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3 years ago

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Which of the following is the correct classification of the system of equations below?Which of the following is the correct clas

Xelga [282]

-x + 2y = 10
6y = -12x + 1

6y = -12x + 1
6 6
y = -2x + ¹/₆

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-x - 4x + ¹/₃ = 10
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- ¹/₃ - ¹/₃
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-5 -5
x = -1¹⁴/₁₅

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y = -2(-1¹⁴/₁₅) + ¹/₆
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It is intersecting, making the answer equal to C.

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Which set of ratios below is not equivalent to 3:4?

Anika [276]

Answer: 54to,

 ,108to,

83

60

 ,24

Step-by-step explanation:

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{20\frac{15}{20}},246to×9,

,9to×12,

,24

6 to 9, 9/12 9 to 12, 15/20 15/20, 24

+ − . ln > <

× ÷ / log ≥ ≤

( ) logx = %

1 Simplify \frac{15}{20}

to \frac{3}{4}

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{20\frac{3}{4}},246to×9,

,9to×12,

,24

2 Convert 20\frac{3}{4}20

to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{\frac{20\times 4+3}{4}},246to×9,

,9to×12,

20×4+3

,24

3 Simplify 20\times 420×4 to 8080.

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{\frac{80+3}{4}},246to×9,

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4 Simplify 80+380+3 to 8383.

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{\frac{83}{4}},246to×9,

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6 Simplify \frac{9}{12}

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9 Use this rule: a \times \frac{b}{c}=\frac{ab}{c}a×

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4 years ago

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An experiment was conducted to record the jumping distances of paper frogs made from construction paper. Based on the sample, th

Natasha2012 [34]

Answer:

$9.9676 - 2.326*0.5904 =8.594$

$9.9676 + 2.326*0.5904 =11.341$

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case the 9% confidence interval is given by:

$8.8104 \leq \mu \leq 11.1248$

We can calculate the mean with the following:

$\bar X = \frac{8.8104 +11.1248}{2}= 9.9676$

And we can find the margin of error with:

$ME= \frac{11.1248- 8.8104}{2}= 1.1572$

The margin of error for this case is given by:

$ME = t_{\alpha/2}\frac{s}{\sqrt{n}} = t_{\alpha/2} SE$

And we can solve for the standard error:

$SE = \frac{ME}{t_{\alpha/2}}$

The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:

$SE = \frac{1.1572}{1.96}= 0.5904$

Now for the 98% confidence interval the significance is $\alpha=1-0.98= 0.02$ and $\alpha/2 = 0.01$ the critical value would be 2.326 and then the confidence interval would be:

$9.9676 - 2.326*0.5904 =8.594$

$9.9676 + 2.326*0.5904 =11.341$

8 0

3 years ago