Ask question

Ask question

All categories

3 years ago

14

You want a savings account to grow to $5000 in 10 years. If interest is 3.5% compounded continuously, how much should you invest

?

1 answer:

vazorg [7]3 years ago

6 0

Answer:

$3523.44

Step-by-step explanation:

5000 = X × e^(3.5/100)(10)

X = 5000 ÷ e^0.35

X = 3523.440449

You might be interested in

if something starts up costing 500, and then is marked down by 25% on rack of three separate occasions, what is the final price?

Fed [463]

The final price is $475

5 0

3 years ago

Solve the inequalty 2 2/5 < b-8/15

mr_godi [17]

Answer:

b>44

Step-by-step explanation:

12/5<b-8/15

switch sides b-8/15>12/5

multiply both sides by 15 15(b-8)/15>12*15/5

simplify b-8>36

add 8 to both sides b-8+8>36+8

simplify

b>44

4 0

3 years ago

Use addition to solve the linear system of equations. Include all of your work in your final answer. \(\left\{ \right.\) 3x-y=6

ad-work [718]

Answer:

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

Step-by-step explanation:

We need to solve the linear system of equations.

$3x-y=6 \\y=x-4$

We can write second equation y=x-4 as: $-x+y=-4$

Let:

$3x-y=6--eq(1)\\ -x+y=-4--eq(2)$

Now, Adding equation 1 and 2

$3x-y=6\\ -x+y=-4\\--------\\2x+0y=2\\2x=2\\x=\frac{2}{2}\\x=1$

So, we get x = 1

Now, put value of x in second equation to find value of y:

$y=x-4\\Put\:x=1\\y=1-4\\y=-3$

So, we get y = -3

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

4 0

3 years ago

If you spin the spinner 18 times, what is the best prediction possible for the number of times it will not land on green?

Sunny_sXe [5.5K]

Answer:

The (prediction) for the number of times the spinner <u>wont</u> land on green is 14 times.

Step-by-step explanation:

First you need to find the possibility it will land on green. since there are 2 green spaces out of 9 possible spaces, there is a 2/9 chance you <u>will</u> get green from spinning. <u>This means there is a 7/9 chance you won't get green from spinning once.</u> By multiplying the fraction by the number of times you will spin, it is most likely you will get green 14 times out of 18 spins.

6 0

2 years ago

13. The radius of Earth is approximately 6.4 x 100 m. Use the formula V = 4/3pr^3

romanna [79]

<u>We are given</u>

Radius of Earth; 6.4 x 100 meters = 640 meters

Clearly, the shape of the earth is a sphere. Thus, to determine the volume of the earth, we will use a formula that determines the volume of a sphere.

$\implies \text{Volume of sphere =} \ \dfrac{4\pi r^{3}}{3}$

When we substitute the radius in the formula, we get;

$\implies\text{Volume of sphere} = \dfrac{4\pi (640)^{3}}{3}$

$\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}$

Take π as 3.14

$\implies\text{Volume of sphere} = \dfrac{4\pi (640)(640)(640)}{3}$

$\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}$

Simplify the numerator;

$\implies \text{Volume of sphere} = \dfrac{4(3.14)(640)(640)(640)}{3}$

$\implies \text{Volume of sphere} = \dfrac{3292528640}{3}$

Divide the numerator by 3;

$\implies \text{Volume of sphere} = \dfrac{3292528640}{3}$

$\implies \text{Volume of sphere} = \boxed{1097509546.67 \ \text{m}^{3} } \ \ \ (\text{Estimated})$

4 0

1 year ago