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bagirrra123 [75]
3 years ago
14

Sum of the series: 13, 16, 19, ..., 301 how many numbers are in this series?

Mathematics
2 answers:
qaws [65]3 years ago
8 0

Answer:

92

Step-by-step explanation:

DaniilM [7]3 years ago
4 0

Answer:

97

Step-by-step explanation:

13,16,19,...,301

a=13

d=16-13=3

l=a+(n-1)d

301=13+(n-1)3

301-13=(n-1)3

(n-1)3=288

n-1=288/3=96

n=96+1=97

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Shtirlitz [24]

Answer:

The amount of interest payable after 6 months is $28.

Step-by-step explanation:

Here, the Principal amount  borrowed = $400

Rate of Interest  = 14%

Time = 6 months  = 6 / 12 years  = 0.5 year

Now, SIMPLE INTEREST = \frac{P \times R \times T}{100}

So, here SI  = SI = \frac{400 \times 14 \times 0.5}{100}   =  28

or, SI = $28

Hence, the amount of interest payable after 6 months is $28.

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3 years ago
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forsale [732]

Answer:

<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>

Step-by-step explanation:

The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.

So the point where it scoops up is (1, -18)

The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.

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7 0
4 years ago
5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.
ycow [4]

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

\frac{AC}{sin30} = \frac{15}{sin40} ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = \frac{15sin30}{sin40} ≈ 11.668

Using the cosine ratio in right triangle ABC

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3 years ago
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astra-53 [7]

Step-by-step explanation:

ah, here you go.

come on, now. you know this now ...

again, mutually exclusive attributes in the table (no overlap here) allow us to add the numbers for a total :

4+2+12+10 = 28 students in total.

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so, it is 4 + 12 = 16

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2 years ago
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balandron [24]

Answer:

5

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When you have an exponent inside and a exponent outside of the parentheses, you multiple them together. Since you're trying to get it equal to d^10, just divide it by 2 and you will get 5.

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