Answer:
10 quarters = $2.50
10 nickels = $0.50
that leaves $0.20 for other coins (dimes / pennies)
Step-by-step explanation:
First, suppose she has only quarters and nickels and no other coins. Then if C is the identical number of coins of each type, then 5C + 25C = 320, so 30C = 320 and 3C = 32, but there is no integer solution to this. So she must have at least one other type of coin.
Assume she has only quarters, nickels, and dimes. Then if D is the number of dimes, 5C + 25C + 10D = 320, which means 30C + 10D = 320, or 3C + D = 32. The smallest D can be is 2, leaving 3C = 30 and thus C = 10. So in this scenario she would have 10 quarters, 10 nickels, and two dimes to make $2.50 + $0.50 + $0.20 = $3.20.
This has to be the highest number, because if she had 11 quarters and 11 nickels, that alone would add up to 11(0.25) + 11(0.05) = $3.30, which would already be too much.
Answer:
<em>4.32%</em>
Step-by-step explanation:
Step 1:
To solve this, we must know how to find sales tax first. Let's use this equation:
t = p × r
Let t stand for the total amount of sales tax
Let c stand for the purchase
Let r stand for the sales tax rate.
Step 2:
Now, let us plug in what is given. We know that the purchase made cost $2,500:
t = $2,500 x r
Annddd, we also know that the sales tax is $108:
$108 = $2,500 x r
Therefore, our equation is:
$108 = $2,500 x r
Step 3:
We can simplify this to:
$108 = $2,500r
Step 4:
All we need to do is divide each side by 2500 because the goal is get r all by itself

Step 5:
This gives us:
r = 0.0432
Step 6:
We're not done! Since we are dealing with a percentage, we would multiply .0432 by 100% and that gives us our final answer of
4.32% is our sales tax
Answer: Yes
Step-by-step explanation:
Answer:
The parent function f(x) is equal to 
The translations is 3 units to the left and 5 units down
Step-by-step explanation:
we have

The vertex of the function h(x) is the point (-3,-5)
we know that the parent function f(x) is equal to

The vertex of the function f(x) is the point (0,0)
so
The rule of the transformation of f(x) to h(x) is equal to
(x,y) -----> (x-3,y-5)
That means ----> The translations is 3 units to the left and 5 units down
Answer:
30.3
Step-by-step explanation:
24 + (12.56637/2)
24 + 6.283185
30.283185
30.3 rounded to the nearest tenth