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butalik [34]
3 years ago
5

Find the common difference in the outputs to help find the missing outputs in the table

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

We are given table:

Input values (a) :           5          6          7         8       9

Output Values (b) :       3.8       4.6       5.6      ?       ?

We need to find the missing values.

In order to find the common difference, we need subtract next output value from previous output value.

Therefore, common difference = 4.6 - 3.8 = 0.8.

In order to find next missing values, we need to add that common difference in previous value.

Therefore, next value of 5.6 is 5.6+ 0.8 = 6.4.

And other next value = 6.4 + 0.8 = 7.2.

<h3>Therefore, the common difference = 0.8 and missing outputs in table are 6.4 and 7.2.</h3>
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Answer:

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Step-by-step explanation:

Let x be the amount in the account at 12% interest

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SI = \frac{P \times T \times R}{100}

First account:SI=\frac{x \times 1 \times 12}{100}

Second account : SI =\frac{(6000-x) \times 1 \times 7}{100}

We are given that At the end of the first year he had earned $590 in interest.

So, \frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

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8 0
3 years ago
A circle's circumference is approximately 44 cm.
Sav [38]
<h3>Answers</h3><h3>diameter = 14</h3><h3>radius = 7</h3><h3>area = 154</h3>

these are all approximate

======================================

Explanation:

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C = pi*d

d = C/pi

d = 44/3.14

d = 14.01 approximately

d = 14 also approximate

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r = d/2 = 14/2 = 7

Then use this radius to find the circle's area

A = pi*r^2

A = 3.14*7^2

A = 153.86

A = 154  rounding to the nearest whole number

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