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
Ainat [17]
3 years ago
14

Compound interest is interest earned on both the initial investment and the previously earned interest. An initial amount of mon

ey, the principal P 0, is invested in an account that pays an annual interest rate r (written as a decimal), compounded n times per year. The amount in the account at the end of each time period is the principal plus the interest.
For example, $1,000 is invested at a 2% interest rate and compounded quarterly. Then P 0 = 1,000, r = 0.02, and n = 4.

Describe the location of the vertex of the parabola relative to the x-axis. How many zeros does the polynomial have?

(Fill in the blanks)

Time period, Amount in the account (with rounding)
Initial principal, P 1,000
End of the first period 1,000 + 1,000 + 0.02/4 = _____

End of the second period ____ + ____ * 0.02/4 = _____

End of the third period ____ + ____ * 0.02/4 = _____

End of the fourth period ____ + ____ * 0.02/4 = _____
Mathematics
1 answer:
lesya [120]3 years ago
8 0
<span>The amount P as a function of t (in years) is given by

P(t) = P0 (1 + r/n)^(t n)

So if n = 4, and r = 0.02, and P0 = 1000, then

P(t) = 1000 (1 + 0.02/4)^(4 t) = 1000 (1 + 0.005)^(4 t)

At the end of the first quarter, t = 1/4, so

P(1/4) = $1000 (1.005)^(1) = $1005

At the end of the second quarter, t = 1/2 , therefore

P(1/2) = $1000 (1.005)^(2) = $1000 (1.010025) = $1010.03

At the end of the third quarter , t = 3/4, therefore

P(3/4) = $1000 (1.005)^(3) = $1000 (1.015075125) = $1015.08

At the end of the year, t = 4, therefore

P(1) = $1000 (1.005)^4 = $1000 (1.020150500625) = $1020.15

As for the second question, after the first period (quarter),
the formula becomes

P = P0 (1.005)^1 = 1.005 P0

which is choice A. </span>
You might be interested in
A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?
aliina [53]

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

We have a permutation of 9 elements

P = 9!

P = 9*8*7*6*5*4*3*2*1

P = 362880 ways

b) Boys must seat together, we have two groups of people

4 boys  they can seat in 4! different ways

P₁ = 4!

P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

P₂ = 5!

P₂ = 5*4*3*2*1

P₂ = 120

To get total ways in the above mentioned condition, we have to multiply P₁*P₂

P = 24*120

P = 2880 ways

4 0
3 years ago
a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum
laiz [17]

Answer:

I believe the answer would be 186

Step-by-step explanation:

241-55=186

5 0
2 years ago
PLEASEEE HELP I WILL MARK YOU BRAINIEST!!!
lisabon 2012 [21]

Answer:

26

Step-by-step explanation:

duh....

7 0
3 years ago
Can someone please help me? Is the answer 42?
SIZIF [17.4K]

Answer:

X = 46

Step-by-step explanation:

X + 43 + 35 + 56 =180

X + 134 = 180

X = 180 - 134

X = 46

6 0
3 years ago
Determine the slope and y intercept of the graph of the equation.
iren [92.7K]
1. Slope = -7
Y intercept= 8
7 0
3 years ago
Other questions:
  • The table shows the time a patient spends at the dentist and the amount of the bill.
    14·2 answers
  • Which of the following inequalities is equivalent to 8 ≤ x
    10·1 answer
  • a top athlete sprinting has a power of 1700W the average person running has a power of 1000 W how powerful do u think you are? w
    15·1 answer
  • Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
    12·1 answer
  • 5. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of
    10·1 answer
  • How many pushups someone can do can be correlated to the distance they run. The regression equation for this is pushups = 0.72 +
    11·1 answer
  • If the circumference of a circle is 12.56 ft what is the diameter?​
    9·2 answers
  • someone measured the living room of their house and it is 12ft by 16 feet. what will the dimensions of the doll house living roo
    8·1 answer
  • What is the answer to p+12 =-18
    6·2 answers
  • Help asapppppp!!!!!!!!!!!!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!