Answer:
After 120 seconds
Step-by-step explanation:
Here, we want to know the number of seconds after which both spotlights will change colors at the same time again.
Basically, what we want to do here is to
calculate the value with which 30 and 40 have the same multiples or we want to
calculate the lowest common multiple of 30 and 40
The multiples of 30 are 30,60,90,120 etc
The multiples of 40 are 40,80,120 etc
We can see that the lowest common multiple of both is 120
So therefore the spotlights will change colors at the same time after 120 seconds
Answer:
1
9
3
4
5 2
Step-by-step explanation:
Just match it with the coordinate points you see above
Answer: 167
Step-by-step explanation: 249.99 - 32% is 167
Let x = the area of his model. Set up a proportion. 1 is to 64 as the area of his model is to the area of his neighborhood. The order of the objects in the proportion is important. 1:64::x:200,704. Notice that the first thing in the first ratio (1:64) is the small number. The first thing in the second ration (x:200,704) is the small number. The small numbers go with the model. The bid numbers go with the neighborhood. Set up the proportion: 1/64 = x/200,704. The small numbers are the numerators, the big numbers are the denominators. Lots of folks have trouble with proportions because they don't keep the numbers consistent. Solve for x 200,704/64 = x x = 3136 The model will have an area of 3,136 square feet. You can set up the proportion with the big numbers on top and you get the same result. 64 is to 1 as 200,704 is to the area of the model. 64:1::200,704:x 64/1 = 200,704/x Cross multiply to solve. 64x = 200,704 x = 200,704/64 x = 3136.
Answer:The starting value is 20,300, and the value is decreasing by 9.5% each year.
Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.
A decrease by 9.5% corresponds to multiplying by 91.5% each year.
We write . We plug in 11 years for t.
$7,671.18
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Step-by-step explanation:
