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
Illusion [34]
2 years ago
15

Two banks offer compound intereston your investment while you deposit with them. Bank A calculates compound interest annuallyand

Bank B calculates half-yearly. Which bank do you chooseto invest and why? Justifyyour answer with simple example.
Mathematics
1 answer:
sladkih [1.3K]2 years ago
3 0

Answer:

Bank B because the more often you compound interest, the more interest you earn.

Step-by-step explanation:

Bank A compounds the interest once a year.

Bank B compounds the interest twice a year.

Let's create an example of two investments of the same amount of money, the same interest rate, and the same time. The only difference will be the number of times the interest is compounded per year.

Compound interest formula:

A = P(1 + \dfrac{r}{n})^{nt}

where

A = future value

P = principal invested

r = interest rate

t = number of years

n = number of times interested is compounded in 1 year

Example:

P = $1000

r = 5%

t = 5 years

Bank A: n = 1

Bank B: n = 2

Bank A:

A = $1000(1 + \dfrac{0.05}{1})^{1 \times 5} = $1276.28

Bank B:

A = $1000(1 + \dfrac{0.05}{2})^{2 \times 5} = $1280.08

Bank A's investment is worth $1276.28 after 5 years, but Bank B's investment is worth $1280.08 after the same 5 years. Compounding twice per year instead of only once per year earns more interest.

You might be interested in
What is the probability of spinning green on the first spinner and blue on the second spinner?
Reil [10]

Answer:

%50

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in t
Anastaziya [24]

The number of feet in the length of the handrail is 17.3 ft.

The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle

The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft  turned through 270°= (3/4) of a whole revolution

(3/4) (2pi) (3)  =  (9/2)pi ft =   4.5 pi ft

The side of the rectangle will be the rise of the staircase = 10ft

And the diagonal of the rectangle will be the length of the handrail

We can use the Pythagorean Theorem to solve this

Handrail length = √ [ (4.5 pi)^2 + 10^2 ]  ≈  17.3 ft

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Learn more about the Pythagorean theorem here: brainly.com/question/343682

#SPJ4

3 0
1 year ago
Need help with a math question
Darya [45]

Answer:

Z =7

Step-by-step explanation:

The middle segment theorem of a triangle says that: A middle segment connecting two sides of a triangle is parallel to the third side and is half its length.

In this case, the middle segment connecting two sides of a triangle is Z.

This means that

Z = 0.5(14)

Finally we have that:

Z =7

The length of the middle segment is 7 units

4 0
3 years ago
PLZ HELP! 10 points
garri49 [273]

Answer:

i believe it is y=4x+1

Step-by-step explanation:

y intercept is 1, slope is up 4 over 1

sorry if im wrong, hope this helps :)

5 0
3 years ago
What is the approximate area of the shaded sector in the circle shown below?
BabaBlast [244]

Answer:

The sector given in the figure is a semi-circle because the degree measure of the chord is 180 degrees.

Area of semicircle = 0.5πr^{2} = 0.5π×4.5 = 6.75 sq. inches

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is a number between 55 and 101 that is a multiple of 3,6, and 9?
    8·1 answer
  • Which representation shows y as a function of x?
    11·1 answer
  • The vertices of a right triangle are (-3,5), (4,-1) and (4,y) what is the value of y
    12·1 answer
  • Name the four types of solution types used to classify quadratic equations particularly when the discriminant is used.
    13·1 answer
  • What is the solution to –2(5y – 5) – 3y ≤ –7y + 22?
    10·1 answer
  • How many millimeters are in 7 centimeters?
    15·1 answer
  • Determine the type of triangle ​
    11·1 answer
  • Gabby picked out a handful of jellybeans. She chose 8 red, 3 yellow, 5 black, and 2 orange. What is the ratio of yellow jellybea
    6·1 answer
  • Whoever answer it correctly will get brainliest. :)
    14·2 answers
  • Pedro found a treasure map that said to take 12 steps north, then 8 steps south. Where is Steve in relationship to where he star
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!