Answer:
The final cost is 1.07($17.15) = $18.35
Step-by-step explanation:
If the discount is 30%, we can find the discounted price by taking 70% of the original price (since 100% - 30% = 70%). Substitute the equivalent 0.70 to calculate the discount price: 0.70($24.50) = $17.15. This is the discounted price.
The final cost is $17.15 times 1.07, which includes the discounted price plus the 7% tax. That final cost is 1.07($17.15) = $18.35.
Answer:
the measure of AB equals the measure of BC
2x+1=3x-4
4+1=3x-2x
5=x
BC=3x-4=3*5-4=15-4=11
AB=2x+1=2*5+1=10+1=11
AC=AB+BC=11+11=22
Step-by-step explanation:
First, let's put all of the variables together.
4m + 5m + 5 + 40 = 180.
Add them.
M is the same multiplier, so we can add 4 and 5 together to make 9m.
Add 5 and 40.
9m + 45 = 180.
From here, we can go two ways. I will show the first way, which is my personal preference.
We want to get rid of the coefficient on m to isolate it, so we must divide it by its coefficient. The coefficient on m is 9. So, divide m by 9. We must also divide everything else by 9.
9m/9 = 1m
45/9 = 5
180/9 = 20
Plug it in--
m + 5 = 20.
Subtract the 5 from both sides to isolate m.
m = 15.
Point-slope form is y - y1 = m(x - x1). We just need to plug in our stuff. This gives us y - 9 = 4(x - 3). I am not sure if you need to simplify, but if you do, y - 9 = 4x - 12.
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Answer:
range: 5 ≤ f(x) ≤ 205
Step-by-step explanation:
You can put the extreme values of x in this linear function to see its range:
f(0) = 4·0 +5 = 5
f(50) = 4·50 +5 = 205
The range is 5 ≤ f(x) ≤ 205.
