I assume you are looking for the total. The total amount in the account will be $4,781.54 if the interest is compounded annually.
If she is earning 6% interest, the balance in her account will be multiplied by 1.06 each year.
You can evaluate the following expression to find the total.
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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Answer:
x < -8
Step-by-step explanation:
-x - 10 > 14 + 2x
Subtract 2x from both sides;
-3x - 10 > 14
Add 10 to both sides;
-3x > 24
Divide both sides by -3
The sign switches when divide by a negative number.
x < -8
Answer:
a. 38
b. 374
Step-by-step explanation:
a. 2 ft = 24 in + 5 in+ 9 in = 38 in
b. 4 yd = 144 + 6 yd = 216
144 + 216 + 8 + 6 = 374
Hope this helps!