Answer:
The simple interest was earned is $116
Yes; the answer is $116
Step-by-step explanation:
- The rule of the simple interest is:
→ <em>I = P r t</em>, where I is the interest, P is the money invested, r is the rate
of interest in decimal, and t is the time of investment
- Casey deposited $1,450 in a bank account with an interest rate of 4%
- We need to find the amount of interest Casey earned in two years
- The interest is simple
∵ P = $1450
∵ r = 4% = 4/100 = 0.04
∵ t = 2 years
∵ The interest is simple
∴ <em>I = Prt</em>
- Substitute the values of P , r , t in the rule
∴ I = 1450 × 0.04 × 2 = 116
∴ <em>The simple interest was earned is $116</em>
* <em>Yes; the answer is $116</em>
Answer:
The equations are:
and 
Step-by-step explanation:
Given
Represent bones eaten Today with T and yesterday with Y
Required
Write the equation
In the first statement, we have that:
Reading further; In the second statement
Hence, the equations are:
and
Solving further:
Substitute 2Y for T in the second equation
Divide both sides by 4
Recall that
Multiplication, hope I could help!
The answer is 0.01654846336
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.
<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>
<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>
<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>
<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>
<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>
<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>
<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>
<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>
<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
