What is the length of a 45 arc
2 answers:
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Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
Firstly, we have to find out what 10% of $25000 is. To do this, multiply $25000 by 0.1 (10% in decimal form): . <em>$2500 is the 10% raise.</em>
Next, to find your first new salary, add $25000 and $2500 together: . <u>$27500 is your new salary after the 10% raise.</u>
Next, we need to find 10% of $27500. It's a similar process as to finding 10% of $25000. . <em>$2750 is your 10% cut.</em>
Next, since this is a cut, subtract $2750 from $27500. . <u>$24750 is your new salary after the 10% cut.</u>
Next, to find the percentage change, firstly divide $24750 by $25000. . Now this shows that your current salary is 99% of what you used to make. It is <em>not</em> how much less you make. To find how much less it is, subtract 99% from 100%:
. <u>Your current salary is 1% less than what you used to make.</u>