Answer:
I only
Step-by-step explanation:
dy/dx = x + 1 / y -3
(y - 3)dy = (x + 1) dx
integrate
1/2y^2 - 3x = 1/2x^2 + x
1/2y^2 = 1/2x^2 + 4x
y^2 = x^2 + 8x
y = (x^2 + 8x)^1/2
Answer:
16 sqrt(30)
Step-by-step explanation:
2√20 × 4√6
Multiply
2*4 sqrt(20*6)
8 sqrt(120)
Simplifying
8 sqrt(4 *30)
We know sqrt(ab) = sqrt(a) sqrt(b)
8 sqrt(4) sqrt(30)
8 *2* sqrt(30)
16 sqrt(30)
Answer:
Step-by-step explanation:
Answer:
x
=
3
10
+
1
10
29
or
x
=
3
10
+
−
1
10
29
<em><u>Question:</u></em>
<em>Mrs. Magdalino kept records on how much she spent on gasoline and the maintenance of her car. She found that it cost $485 to drive 500 mi in a month.</em>
<em>a) Find the cost per mile. Write an equation that relates the cost c for gasoline and maintenance of a car to the number of miles m the car is driven.</em>
<em>b) Use the equation to find the cost for driving 1200 miles.</em>
<em>c) About how many miles are driven for a cost of $820?</em>
<em><u>Answer:</u></em>
a)
$485/500mi = <u><em>$0.97/mi</em></u>
c = cost
m = miles driven
cost per miles driven = cost / mile driven = <u><em>c/m</em></u>
b)
(1200 mi)*($0.97/mi) = <u><em>$1164</em></u>
c)
(x miles)*($0.97/mi) = $820
*divide both sides by $0.97/mi
x miles = $820/($0.97/mi)
<u><em>x = 845.36 miles</em></u>
Answer:
$1876.31
Step-by-step explanation:
The present value can be found using the compound interest formula.
<h3>Present value</h3>
The formula for the future value of an investment of P earning annual interest rate r compounded n times per year for t years is ...
FV = P(1 +r/n)^(nt)
Filling in the known values gives ...
4000 = P(1 +0.085/4)^(4·9) = P(1.02125^36)
Then the amount to be invested is ...
P = 4000/1.02125^36 ≈ 1876.31
The present value is $1876.31.
