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daser333 [38]
3 years ago
10

The yearly deductible for John's health care plan decreased from $1250 to $1000. What is the percent decrease?

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

20%

Step-by-step explanation:

1. We assume, that the number 1250 is 100% - because it's the output value of the task.  

2. I assume, that x is the value we are looking for.  

3. If 100% equals 1250, so we can write it down as 100%=1250.  

4. We know, that x% equals 250 of the output value, so we can write it down as x%=250.  

5. Now we have two simple equations:

1) 100%=1250

2) x%=250

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=1250/250

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250 is what percent of 1250

100%/x%=1250/250

(100/x)*x=(1250/250)*x       - we multiply both sides of the equation by x

100=5*x       - we divide both sides of the equation by (5) to get x

100/5=x  

20=x  

x=20

now we have:  

250 is 20% of 1250


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Formula: Distance = rate * time

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570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104


Eastbound Train: 86mph

Westbound Train: 104mph

3 0
3 years ago
After my salary was increased by $16\%,$ it was $\$52{,}200$. What was my salary before the increase?
boyakko [2]
The salary before the increase was $48000.
5 0
3 years ago
41/17 rounded to the nearest hendreth
Andrews [41]

Answer:

2.47

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
I need this ASAP plz
Sidana [21]

Answer:

5% compounded quarterly equals (1.0125)^4 -1=0.0509453369140625 or 5.09453369140625 % APR

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Step-by-step explanation:

7 0
3 years ago
1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
3 years ago
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