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
Orlov [11]
3 years ago
11

Find the compound interest and the total amount after 4 years and 6 months if the interest is compounded annually

Mathematics
1 answer:
miv72 [106K]3 years ago
3 0

Answer:

Compound Interest,I- I=P[(1+I)^{4.5}-1]

Total Amount, A- A=P(1+i)^{4.5}

Step-by-step explanation:

Compound interest is the difference between the initial amount invested at time t=0and the final amount of the investment at time t.

-Let the initial amount invested be P, the annual rate be i and A be the final amount of the investment.

-Let I be the compound interest earned.

-Given that the investment term n=4yrs 6 months, the compound interest is calculated as;

A=P(1+i)^n\\\\I=A-P\\\\\# n=4.5,P=P, i=i\\\\\therefore I=P(1+i)^{4.5}-P\\\\=P[(1+I)^{4.5}-1]\\\\I=P[(1+I)^{4.5}-1]

Hence, the compound interest after 4 1/2 years is I=P[(1+I)^{4.5}-1]

#The total amount after the same period is A=P(1+i)^{4.5}

You might be interested in
A student in a statistics class asks students in a long lunch line about their opinions about the school cafeteria. The sample t
Paladinen [302]

Answer:

The correct option is;

D. Biased

Step-by-step explanation:

A sampling method in which the members of the sample are not representative of the population, such that some members of the population have a higher or lower probability within the sample which is indicative that not all members of the population are sampled

A biased sample is a non random sample and the can lead to misleading data conclusion

In the question, the sampling of student opinion about the school cafeteria among students who are on the lunch line and so prefer the school cafeteria leaves out the portion of the population that get their lunch from alternative sources.

7 0
3 years ago
Find the volume and surface area of the prism below
Nata [24]

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

4 0
3 years ago
Which expression has a value of 507<br> O A. 2x52<br> B. 2 x 55<br> C. 5 x 52<br> D. 5x25
d1i1m1o1n [39]

Answer:

.............,...........,.......................... ans is b

7 0
3 years ago
Please help! view the picture :) <br> due soon
arlik [135]

The answer is 30~~~~~~~~

3 0
3 years ago
What is the lcm of 16, 24 and 40
ivann1987 [24]
The answer is 240

Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.

First we will find LCM for first two numbers ( 16 and24 ).

Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.

Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )

Step 3: Divide the 384 with 8. (384/8 = 48)

So, the LCM of 16 and 24 is 48.

Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.

The result of this part is 240

8 0
3 years ago
Other questions:
  • What is 2/7 + 6/10 in fraction form
    15·2 answers
  • Write the following expression using a single exponent. 3-5 × 36 A. 30 B. 3-11 C. 31 D. 3-30
    7·1 answer
  • Use the graph below to determine a1 and d for the sequence
    7·1 answer
  • Is 3/15 repeating decimal
    7·1 answer
  • PLEASE HELP! WILL GIVE BRAINLIEST!
    11·2 answers
  • The diagram shows two parallel lines cut by a transversal.
    14·1 answer
  • In the circumference formula C = Pi x Diameter, What is the constant of proportionality?
    10·1 answer
  • The figure shows ∆ABC inscribed in circle D. If m ∠CBD = 44°, find m ∠BAC, in degrees.
    11·1 answer
  • A line with a slope of 4 passes through the<br> point (2, 1). What is the equation of this line?
    12·1 answer
  • Write the equation of the line given the two points. (1,-2) and (1,5)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!