1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paha777 [63]
3 years ago
12

John has 5,000 to invest in a saving account that has interest compounded annually. If he wants his money to double in 8 years w

hat percent must the interest rate be on the account ?
Mathematics
2 answers:
ololo11 [35]3 years ago
7 0

hi

5 000 * X ^(8) =  10 000

             x^(8) =  10 000 / 5000

             x ^(8)=  2

            x =  2^(1/8)

            x≈ 1.09

intrest rate must be  9%

NemiM [27]3 years ago
3 0

Answer: The interest rate is 6.25%

Step-by-step explanation:

You have to use the formula interest x 100 / Principal  x Time which is 5,000 x 100/8 x 10,000 which will give 6.25%.

You might be interested in
Choose the graph that has a slope of 1/3 and a y-intercept of 1.​
PtichkaEL [24]

Answer:

d

Step-by-step explanation:

The slope is positive which makes the graph increase

5 0
3 years ago
Read 2 more answers
What is the awnser to 92 times 68
konstantin123 [22]
92 times 68 is 6,256
5 0
3 years ago
Jacob wants to know how many students in his school enjoy watching space travel programs on TV. He poses this question to all 20
Naddik [55]
No because he has not went to other classes
4 0
3 years ago
Read 2 more answers
A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?
Karo-lina-s [1.5K]

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = \frac{4}{3}\pi (6)^{3} = 288π m³

6 0
3 years ago
A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

7 0
3 years ago
Other questions:
  • on a map the distance between two towns is 4inches .The actual distance between the towns is 380 miles.What is the scale of the
    14·1 answer
  • 54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not. You want to calculate the probability of sel
    12·1 answer
  • (-4ab+8a-2) - (-4ab-9)
    9·1 answer
  • What’s the radius, circumference, and area?
    12·2 answers
  • What is the end behavior of the polynomial function?
    13·1 answer
  • Quadrilateral K' is the image of quadrilateral K under a dilation.
    8·1 answer
  • Please help please <br> It due asap
    10·2 answers
  • In the diagram, the length of segment VS is 39 units.
    11·2 answers
  • Mary and Ardella are saving money for a trip. Mary started her savings with $20 and is now saving $12 each week. Ardella started
    5·1 answer
  • 3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!