The amount invested in the account that yields 7% interest is $4000.
The amount invested in the account that yields 12% interest is $1000.
<h3>What are the linear equations that represent the question?</h3>
a + b = 5000 equation 1
0.07a + 0.12b = 400 equation 2
Where:
a = amount invested in the account that yields 7% interest.
b = amount invested in the account that yields 12% interest.
<h3>How much is invested at each rate?</h3>
Multiply equation 1 by 0.07
0.07a + 0.07b = 350 equation 3
Subtract equation 3 from equation 2
0.05b = 50
b = 50 / 0.05
b = 1000
Subtract 1000 from 5000: 5000 - 1000 = 4000
To learn more about linear functions, please check: brainly.com/question/26434260
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First work out the 'multiplier'
3 + 5 + 9 = 17 so Multiplier = 1/17
$558 is the largest share and that equals 9 * 1/17 of x where x is the total amount of money
9x / 17 = 558
x = (558 * 17) / 9 = $1054
So the smallest share = 3 /17 * 1054 = $186 Answer
Step-by-step explanation:
Day 1: 1200g / 2¹ = 600g
Day 2: 1200g / 2² = 300g
Day 3: 1200g / 2³ = 150g
The pattern is the amount of radioactive substance on day n is 1200 / (2^n).
Therefore, we have to find n where 2^n > 1200.
The first such n is 11 (2¹¹ = 2048).
Hence, there will be less than 1 gram on day 11.
The scale factor is -2. The answer is choice A
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How did I get this answer? By picking any pair of preimage and corresponding image points. Let's pick on preimage point A and its paired image value A'.
Note how the x coordinate jumps from -11 to +22. So we multiplied by -2 to do this jump. We can see that 22/(-11) = -2 is another way to get this. Similarly, the same happens to the y coordinates as well: -14/7 = -2.
In short, you multiply the preimage coordinate by the scale factor -2 to get the corresponding image coordinates. Points B and C will follow the same pattern.
Yo is this a trick question? Hahaa
