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NARA [144]
3 years ago
7

The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Answer:

<h3>              aₙ = 8n + 27</h3>

Step-by-step explanation:

a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27

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What is not a good reason to refinance
Flauer [41]

Answer:

A

Step-by-step explanation:

The answer is A because all of the other options are favorable circumstances to refinance. There's no need to refinance if the loan in question (a mortgage in this case) has already been paid off.

7 0
3 years ago
Read 2 more answers
ANSWER FAST ITS URGENT
Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

{x}^{2}  = 4 + 36

{x}^{2}  = 40

x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

and

m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

{x}^{2}  +  {115}^{2}  =  {350}^{2}

{x}^{2}  =  {350}^{2}   -  {115}^{2}

{x}^{2}  = 109275

x =  \sqrt{109275}  = 330.6 ft

3 0
3 years ago
Tom borrowed $35,000 to remodel his house. At the end of 5-year loan, he had repaid a total of $46,375. At what simple interest
Wewaii [24]
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11375/175000 = 175000<em>r</em>/175000
0.065 = <em>r</em>
To convert this to a percentage, we multiply by 100:
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3 years ago
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============================================

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In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)

So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|

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3 years ago
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