Answer:
238.65
Step-by-step explanation:
To find the simple interest we use the formula:
A = P(1 + rt)
Let's break down all the variables that we have.
P = 3,700
r = 2.15% or 0.0215
t = 3
So let's put all our variables into the formula.
A = P(1 + rt)
A = 3,700(1 + (0.0215)(3))
A = 3,700(1 + 0.0645)
A = 3,700(1.0645)
A = 3938.65
Gary will have a total of 3938.65 in his account after 3 years. Now to find how much he made in interest, we simply subtract the total after 3 years to his initial amount.
Interest = 3938.65 - 3700
Interest = 238.65
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ ![\frac{2[g(x)]}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Bg%28x%29%5D%7D%7B2%7D)
= 
+ 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
There are 23 nickles in her purse
You can easily test this if you know that (6, -10) corresponds to (X, Y). Knowing this, you can:
X = 6
Y = -10
you put this into your equation:
-10 = 3*6 - 8
calculate it:
-10 = 18 - 8
-10 = 10
This is not true of course, -10 is not equal to 10. Therefore, (6, -10) is not a solution of y = 3x-8 :)
Answer:
60 miles is 96.6 kilometers
Step-by-step explanation:
