Answer:
£631.07
Step-by-step explanation:
Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:
To solve for p, we can simply divide both sides of our equation by 1.03 to get
So our orignal amount, to the nearest penny, was £631.07
Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: which is essentially
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you:
that's the rate of change
Answer:
Step-by-step explanation:
Let's solve your inequality step-by-step.
−5(w+4)+8<−42
Step 1: Simplify both sides of the inequality.
−5w−12<−42
Step 2: Add 12 to both sides.
−5w−12+12<−42+12
−5w<−30
Step 3: Divide both sides by -5.
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Thanks!
- Eddie