9514 1404 393
Answer:
- interest: $353.38
- total: $4978.38
Step-by-step explanation:
The equation for calculating the balance in an account earning compound interest is ...
A = P(1 +r)^t
where r is the annual rate and t is the number of years.
For Sam's account, the balance after 2 years is ...
A = $4625(1 +0.0375)^2 = $4978.38
The interest is the amount in excess of the deposited amount:
$4978.38 -4525.00 = $353.38
Sam's interest was $353.38, giving him a total of $4978.38.
C. $111.65 would be the answer
Answer:
See below ~
Step-by-step explanation:
Question 6(e) :
⇒ x² ≤ 16
<em>Take square root on each side :</em>
⇒ √x² ≤ √16
⇒ x ≤ 4 and x ≥ -4
⇒ -4 ≤ x ≤ 4
There would be only 1 pint left of iced tea in the pitcher.
Answer:
Area of plane surface of cylinder = 2772 sq.cm.
Step-by-step explanation:
Let r be the radius and h be the height of the cylinder.
Curved Surface Area = 1848 sq.cm
2πrh = 1848
2×
×rh = 1848
rh = 1848 ×
× ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
rh = 294
Sum of radius and height = 35
r + h = 35 --- (1)
Now,
r - h = ![\sqrt{(r+h)^{2}-4rh }](https://tex.z-dn.net/?f=%5Csqrt%7B%28r%2Bh%29%5E%7B2%7D-4rh%20%7D)
= ![\sqrt{35^{2}-4(294) }](https://tex.z-dn.net/?f=%5Csqrt%7B35%5E%7B2%7D-4%28294%29%20%7D)
= ![\sqrt{1225-1176}](https://tex.z-dn.net/?f=%5Csqrt%7B1225-1176%7D)
= ![\sqrt{49}](https://tex.z-dn.net/?f=%5Csqrt%7B49%7D)
= 7
r - h = 7 --- (2)
Adding (1) and (2),
2r = 42
r = 21 cm.
Area of the plane surface = 2 × π![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
= 2 ×
× 21 × 21
= 2772 sq.cm.