It looks like ∆ is defined as
<em>a</em> ∆ <em>b</em> = (<em>a</em> + <em>b</em>)² + 5
If that's the case, then
1 ∆ (-4) = (1 + (-4))² + 5 = (-3)² + 5 = 9 + 5 = 14
Answer:
So I'm not entirely sure about this one, but I believe he gained 0.21 pounds each day for 30 days
Step-by-step explanation:
Since Cam was born weighing 8.6 pounds and after 30 days weighed 14.9, subtract 14.9-8.6 to find how much he gained.
14.9 - 8.6 = 6.3
Now that we know how much he gained, we have to find out how much he gained per day for 30 days. To do this, divide 6.3 by 30
6.3 / 30 = 0.21
To make sure this answer is correct, multiply 0.21 by 30 and add that to 8.6. It should equal 14.9.
I hope this helps!
Answer:
7/20. or .035 as a decimal
Step-by-step explanation:
the 2 subtractions would cancel out so it would be -1/4+3/5. then you would times both equations by the opposite bottom number which would turn into -5/20+12/20 which is just -5+12 all under 20 which then when you add -5 and 12 it would be 7. so its 7/20
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.
