7. Find the amount of money accumulated if you invest $10,000 at 3% interest compounded continuously for 2 years. Round your answer to the nearest cent.

$10618.37

Step-by-step explanation:

Use the formula for compound interest:

P(t) = P_0e^(rt)

You can look the formula up online to find what each variable represents.

First, our principal amount (P) is 10,000. Our interest rate (r) is 3% and our time (t) is 2. Substitute these into the equations in each variables' place. The equation will look like this:

P(t) = 10,000e^(0.03x2)

P(t) = 10,000e^(0.06)

Note that e is approximately 2.7183 .

Using your calculator, now simply find P(t).

You should get 10618.36972 as your answer. Round that to the nearest cent to get $10618.37 .

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w