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loris [4]
3 years ago
7

The graph of the sequence would have (check image)

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0
<h3>Answer: D) common ratio</h3>

Explanation:

The four points on this curve are

(1, 3) ,  (2, 6),  (3, 12) ,  (4, 24)

The equation of the curve that goes through all the points mentioned is

y = 3*2^(x-1) which is equivalent to y = 1.5*2^x

Both equations are exponential equations.

Sequences of the form

a(n) = a*(r)^(n-1)

are geometric sequences with common ratio r. In this case, r = 2.

Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.

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Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How
rodikova [14]
The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:

total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3<span>*(100%+4.5%)^4
</span>total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * <span>1.121622319 </span>* 1.1925186
total money= £14,713.11

8 0
3 years ago
Simplify: (−2a2b) • (4a5b2)<br> please can someone help!
xz_007 [3.2K]
Hey there hope this helps you out

5 0
3 years ago
Trig: Which complex number's graph is shown?
Andrei [34K]

ANSWER

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

EXPLANATION

The complex number shown has coordinates (2,-2)

or

z = 2 - 2i

The modulus is

|z|  =  \sqrt{ {2}^{2}  +  {( - 2)}^{2} }

|z|  =  \sqrt{ 8} = 2 \sqrt{2}

The argument is

\theta= \tan^{ - 1} ( \frac{ - 2}{2} )

\theta= \tan^{ - 1} ( -1) =  \frac{7\pi}{4}

The polar form is

2 \sqrt{2} ( \cos( \frac{7\pi}{4}   + i  \sin(  \frac{7\pi}{4} ) )

The first option is correct.

3 0
3 years ago
Which expressions show repeated multiplication? Check all that apply.
gtnhenbr [62]

O(7)(7)(7)(7)

O(9)(9)(99)(9)(9)

(2)(3)4(5)(6)

(1)(9)

AHO

2

2

7 0
3 years ago
What is the value of 4 to the power of -3​
Flauer [41]

Answer:

0.015625

Step-by-step explanation:

3 0
3 years ago
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