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Nat2105 [25]
3 years ago
6

The height of a 12 year old boy increased by 17% last year and by 12% this year. What is the total increase in percent terms?

Mathematics
2 answers:
telo118 [61]3 years ago
5 0
The answer is percentages would be 29% because 17+12=29
OverLord2011 [107]3 years ago
3 0
He increased by 29% because you just add up the percentage 


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The Fibonacci sequence is defined by $F_1 = F_2 = 1$ and $F_{n + 2} = F_{n + 1} + F_n$. Find the remainder when $F_{1999}$ is di
zavuch27 [327]

Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

F_5 = 5 = 0 (mod 5),

F_6 = 3,

F_7 = 3,

F_8 = 1

F_(9) = 4

F_(10) = 0

F_(11) = 4

F_(12) = 4

F_(13) = 3

F_(14) = 2

F_(15) = 0

F_(16) = 2

F_(17) = 2

F_(18) = 4

F_(19) = 1

F_(20) = 0

We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

6 0
3 years ago
A model airplane is built on the scale of 0.5 inch for every 11 feet. The length of the
Tema [17]

Answer:

9.59 ft

Step-by-step explanation:

\frac{211}{11}

= 19.181818\\multiply\\by\\0.5\\= 9.59

6 0
2 years ago
17. New Schools expects an EBIT of $100,000 every year forever. The firm currently has no debt, and its cost of equity is 10 per
Natali5045456 [20]

Answer:

$880,000

Step-by-step explanation:

First note that the full meaning of EBIT is earning before interest and tax.

When the company does not have debt, it called unlevered (VU), while a company that has debt is called levered (VL) company. The VU and the VL of the company can be calculated using the VU and VL formula as follows:

Step 1. Calculation of VU

VU = [EBIT × (1 - tax rate)] ÷ cost of equity

       = [$100,000 × (1 - 0.20)] ÷ 0.10

       = [$100,000 × 0.80] ÷ 0.10

       = $80,000 ÷ 0.10

       = $800,000

Step 2. Calculation of VL

VL = VBC + (tax rate × conversion rate × VU)

        = $800,000 + (0.20 × 0.5 × $800,000)

        = $800,00 + $80,000

        = $880,000

Therefore, the value of the firm will be $880,000 if it is converted to 50 percent debt.

3 0
3 years ago
A triangular sign is being made.
wlad13 [49]

Answer: The answer is C

Step-by-step explanation:

7 0
3 years ago
Which coffee shop charges more for coffee cups?
Nookie1986 [14]

Answer:

Coffee Shop B charges .50 cents more.

Step-by-step explanation:

I evaluated the graph and concluded that Coffee Ship B charges .50 cents more.

3 0
3 years ago
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