Find the final value of 2000 invested at an interest rate of 3% compounded quarterly for 8 years

Mathematics

2 answers:

kykrilka [37]3 years ago

8 0

Answer:

2540.22

Step-by-step explanation:

The equation

Final value=amount invested (1+(interest rate÷ quarter)) ^(quarter ×time)

Apply the given in the question to the equation

Final value=2,000×(1+(0.03÷4))^(4×8)

Final value=2540.22 the answer

Romashka [77]3 years ago

3 0

Answer:

2540.22

Step-by-step explanation:

amount = principal amount * (1+ r/n) ^ nt

r= interest rate as decimal

n=number of times interest is compounded

nt=time

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The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi

elena-s [515]

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed ( $v$ ), measured in inches per second, is defined by following expression:

$v = R\cdot \omega$ (1)

Where:

$R$ - Radius of the wheel, measured in inches.

$\omega$ - Angular speed, measured in radians per second.

If we know that $R = 11\,in$ and $\omega \approx 39.584\,\frac{rad}{s}$ , then the linear speed, measured in miles per hour, in which Darlene is traveling is: