Answer:
y=mx+c
y=2x+9
Step-by-step explanation:
Slope(m)=2, y-intercept(c) =9
Substitute in the equation y=mx+c
Let present ages of father be x and of son is y years
x/y = 7/2, 2x=7y, y=2x/7
(y+5)=37/100*(x+5)
(2x/7+5)=37/100*(x+5)
(2x+35)/7=(37x+185)/100
200x+3500=259x+1295
259x-250x=3500-1295
59x=2205
x=37.37 years
Answer:
$3743.43
Step-by-step explanation:
The amount is given by the formula ...
A = Pe^(rt)
where P is the principal, r is the annual rate compounded continuously, and t is the number of years. Filling in the values, we get ...
A = $1600·e^(0.0425·20) = $1600·e^0.85
≈ $1600·2.33964685 ≈ $3743.43
The amount in the account will be $3743.43.
Answer:
-42
Step-by-step explanation:
Cross multiply
5 * -2 = -10
8 * 4 = 32
-10 - 32 = -42
You're on the right track! Now that you have drawn a right triangle with the hypotenuse as the segment from Joe's home to the Park, we can use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem = a squared + b squared = c squared
A and B are the legs, and C is the hypotenuse. We can find the legs be calculating how many units they are.
2 - (-1) = 3
3 - 1 = 2
Pythagorean Theorem = 3 squared + 2 squared = c squared
= 9 + 4 = c squared
= 13 = c squared
=

= c
The square root of 13 is around 3.6, so Joe's house is approximately 3.6 miles away from the park.