In this item, we let x be the amount that is deposited in the account that has a simple interest equal to 7%. With this representation, the amount that is deposited in the account with simple interest of 6% is equal to 12000 - x.
The amount of interest earned from the investment is calculated through the equation,
I = P x (i)
For the first investment,
I = (x)(0.07)
For the second investment,
I = (12000 - x)(0.06)
Adding up the interests,
800 = 0.07x + (0.06)(12000 - x)
The value of x from the equation is 8000.
<em>Therefore, the amount invested to that with 7% interest is $8000 and the amount invested to that with 6% interest is $4,000.</em>
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s = 2(lw + lh + wh)
Divide each side by 2 : s/2 = lw + lh + wh
Subtract 'lh' from each side: s/2 - lh = lw + wh
Combine the 'w' terms: s/2 - lh = w(l + h)
Divide each side by (l + h): (s/2 - lh) / (l + h) = w
Answer:
≈ 452.5 rpm
Step-by-step explanation:
First convert mph to in/min.
35 mi/hr × (5280 ft/mi) × (12 in/ft) × (1 hr / 60 min) = 36960 in/min
The diameter of the wheel is 26 inches, so the circumference of the wheel is 26π inches. So the revolutions per minute is:
36960 in/min × (1 rev / 26π in) ≈ 452.5 rpm