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Ainat [17]
3 years ago
8

Help me solve this question please. Thank you

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:

an = 80. 2^(n-5)

Step-by-step explanation:

r = a6/a5 =160/80 = 2

an = a5. r^(n-5)

= 80. 2^(n-5)

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Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a
Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

<em><u>Explanation</u></em>

Suppose, the amount of money at 6% interest is x

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: (40000-x) dollar

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.

3 0
3 years ago
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murzikaleks [220]

Answer:

B

Step-by-step explanation:

The rulers tell you the length of the sides

8 0
3 years ago
What is the slope of the line through the points (4, 2) and (-16, -6)?
Harrizon [31]
Gradient = change in y /change in x so -6-2 =-8 / -16-4 = -20 so -8/-20 = 0.4 so gradient = 0.4
3 0
3 years ago
The graph of f(x) = x+ was transformed to create the graph of g(x) = f(x) - 9.
Ludmilka [50]

Answer:

Step-by-step explanation:

A

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=2%28a%20%2B%205%29%20-%203%28a%20%2B%207%29%20" id="TexFormula1" title="2(a + 5) - 3(a + 7) "
Kazeer [188]

Answer:

The solutions are given below:

Step-by-step explanation:

x(x-3)+4(x²+2)

= x²-3x+4x²+8

= x²+4x²+8-3x

= 5x²+8-3x

2(a+5)-3(a+7)

= 2a+10-3a-21

= 2a-3a+10-21

= -a-11

xy(x²yz-xy²z+xyz²)

= x³y²z-x²y³z+x²y²z²

-4(a²-2a+8)

= -4a²+8a-32

<h3>Hope it helps !</h3>
8 0
3 years ago
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