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Verizon [17]
3 years ago
14

In 2013 Traci joined a swim club. The fees were £600 per year in 2013. Each year the fees increase by 6%. Calculate, to nearest

£, the fees in 2016.
Mathematics
1 answer:
balandron [24]3 years ago
6 0

Answer:

715 pounds

Step-by-step explanation:

<em>FV = solve</em>

<em>PV = 600</em>

<em>I% = 6</em>

<em>K = 1, N = 3 </em>(2013 - 2016 = 3 years)

Plug it in:

<em>FV = 600 x [ 1 + (6/100 x 1)]³</em>

= 600 x ( 1 + 0.06)³

= 600 x (1.06)³

FV = 714.61, 715 to the nearest dollar.

<em>Therefore, the fee in 2016 is 715 pounds.</em>

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3 years ago
Which of the following expressions can be factored by grouping? (Select all that apply.)
Greeley [361]

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

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   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

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  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

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3 0
3 years ago
The two right scalene triangles shown are similar , but not congruent. Which statement about the triangles is not true
garri49 [273]

Answer: <CDB corresponds to <ECD

Step-by-step explanation:

The angles in similar triangles correspond to each other.

For two angles in similar triangles to correspond to each other, then they have to be in the same position in the triangle. (EX: a 90 degree angle corresponds to another 90 degree angle or an angle across from the shortest side corresponds to another angle in the other triangle across from the shortest side)

In this case, <CDB is to the right of the 90 degree angle, so the angle it will correspond to is the angle in the other triangle which is opposite to the 90 degree angle, which is <CED.

<CED is not <ECD, so that answer is wrong.

Tell me if I need to clarify anything - this topic is kind of hard to explain :/

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