Answer:
GCF(15a; 28b²) = 1
Answer:
20
Step-by-step explanation:
5(-2)+30 = (-10)+30 = 20
Answer: $ 18681.45
Step-by-step explanation:
Given: Future value : 
The rate of interest : 
The number of time period : 
The formula to calculate the future value is given by :-
, where P is the initial amount deposited.

Hence, the lump that must be deposit today : $ 18681.45
Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds
Given the Parameters :
- Lucy's distance = 2t
- Emily's distance = 5t
<u>We can set up an equation to represent the required scenario thus</u> :
Emily's distance = Lucy's distance + 90
5t = 2t + 90
We solve for t
<em>Collect like terms</em> :
5t - 2t = 90
3t = 90
Divide both sides by 3 to isolate t
t = 90/3
t = 30
Therefore, Emily will catch up with Lucy after 30 seconds
Learn more :brainly.com/question/13218948
Answer:
The force exerted by the weight lifter is 81.7 N.
Step-by-step explanation:
We can find the force exerted by the weight lifter using the definition of work:
(1)
Where:
F: is the force
d: is the displacement
We have W = 9.8 J of work and d = 0.12 m, so by solving equation (1) for F we have:

Therefore, the force exerted by the weight lifter is 81.7 N.
I hope it helps you!