Answer:
154
Step-by-step explanation:
lcm = finding the smallest multiple that both numbers can reach
1. 14 = 2 × 7
22 = 2 × 11
because they both have the same 2, that is two 2's in total. If they both have it, you can only take one of them. so it is:
2. 2 × 7 × 11
now we solve it. so 2 × 7 × 11 =
3. 154
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have
when the hawk reaches the rabbit the value of h is equal to zero
we have
substitute
Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure
Answer:
x =
Step-by-step explanation:
Given
4x - = x + 7
Multiply through by 2 to clear the fraction
8x - 1 = 2x + 14 ( subtract 2x from both sides )
6x - 1 = 14 ( add 1 to both sides )
6x = 15 ( divide both sides by 6 )
x = =
Answer:
10
Step-by-step explanation:
If the pieces were similar, the scale factor would be 16 / 8 = 2 so therefore, b = 5 * 2 = 10.
Answer: Brooklyn will have more money after two years
She'll have 13 more dollars compared to Patrick.
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Explanation:
We'll be using this compound interest formula
A = P*(1+r/n)^(n*t)
The variables are:
- A = final amount at time t
- P = initial amount, aka deposit or principal
- r = decimal form of the annual interest rate
- n = number of times we compound the money per year
- t = number of years
Patrick has the following values:
- P = 300
- r = 0.03
- n = 4
- t = 2
which leads to...
A = P*(1+r/n)^(n*t)
A = 300*(1+0.03/4)^(4*2)
A = 318.479654345482
A = 318.48
Patrick will have $318.48 in his account after 2 years.
------------------------
For Brooklyn, she has:
- P = 300
- r = 0.05
- n = 12
- t = 2
Those values then plug into the formula to get...
A = P*(1+r/n)^(n*t)
A = 300*(1+0.05/12)^(12*2)
A = 331.482400667499
A = 331.48
Brooklyn will have $331.48 in her account after 2 years.
We can see that Brooklyn earns more compared to Patrick.
She has $331.48 - $318.48 = 13 more dollars compared to Patrick.
This is to be expected for two reasons:
- Her annual interest rate is higher (5% compared to 3%)
- The money in her account is compounded more frequently (12 times per year compared to 4 times per year)