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VARVARA [1.3K]
4 years ago
14

Which graph represents the solution set of the compound inequality?−5<a−6<2

Mathematics
2 answers:
Aliun [14]4 years ago
8 0
C is the correct answer

Debora [2.8K]4 years ago
3 0

Answer:

Correct graph of the inequality −5 < a−6 < 2   is:

Third option

Step-by-step explanation:

We are given a inequality:

−5 < a−6 < 2

adding 6 on each sides of inequality, we get

-5+6 < a-6+6 < 2+6

i.e. 1 < a < 8

Hence, Values of a lies between 1 and 8 excluding both 1 and 8

Hence, Correct graph of the inequality −5 < a−6 < 2   is:

Third option

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A principal of $4500 is invested at 5.75% Interest, compounded annually. How much will the investment be worth after 5 years?
Mila [183]

Answer:

$5,951.33

Step-by-step explanation:

We can use the compound interest formula to solve this problem:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 5.75% into a decimal:

5.75% -> \frac{5.75}{100} -> 0.0575

Now, plug in the values:

A=4,500(1+\frac{0.0575}{1})^{1(5)}

A=5,951.33

After 5 years, the investment will be worth $5,951.33

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4 years ago
Definition for axis of symmetry
Dmitriy789 [7]

Answer:

An axis of symmetry is a line about which a figure is symmetrical. If a figure can be folded such that the two parts exactly match, the fold line is an axis of symmetry. A figure can have one line of symmetry, many lines of symmetry, or no lines of symmetry.

Step-by-step explanation:

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2000 is 10 as much as 200 is 1
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