Answer:
H) 0.75
Step-by-step explanation:
4.5 divided by 6 is 0.75
We don't use remainders in algebra for the most part. We have to do regular division. I'll try to show it here:
____._7___5_____________
6 ) 4 . 5 0
4 . 2
____________
0 . 3 0
0 . 3 0
_____________
0
No, John is incorrect.
<h3>
Correct work shown:</h3>
The correct answer should be x = 7 or x = -1
The given formula is f(x) = 20(1.2)^x
The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.
A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)
B) the original amount is $20
C) for 2 weeks, replace x with 2 and solve:
20(1.2)^2
20(1.44) = $28.80
After 2 weeks the coupon is $28.80
D) To solve for the number of weeks (x) set the equation equal to $100:
100 = 20(1.2)^x
Divide both sides by 20:
5 = 1.2^x
Take the natural logarithm of both sides:
ln(5) = ln(1.2^x)
Use the logarithm rule to remove the exponent:
ln(5) = x ln(1.2)
Divide both sides by ln(1.2)
x = ln(5) / ln(1.2)
Divide:
X = 8.83
At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100
The answer is 9 weeks.
Answer:
19+19= x
So x, is 38. Just add 19 and 19
Answer:
Graph A.
Step-by-step explanation:
When x is equal to 0, why has to be equal to 2. The slope also has to be 3. To find this out, we do y2-y1/x2-x1. For A, the slope is -7--4/-3--2. This is equal to -3/-1. This is equal to 3. Because y=2 when x=0. option A is correct. For option D, when x=0, y=32. Therefore, this option is not correct. For option B, when x=0, y=2 so this could be correct. Plug it into y2-y1/x2-x1. This is equal to -1-0/-1-2. This is equal to -1/-3. 1/3 is not equal 3 so this option is not correct either. When x=0, y=32 for option C. Therefore, this option is not correct. Therefore, the answer is option A.
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