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
NISA [10]
2 years ago
15

Sam invests $800 at 6%/a compounded annually for 5 years. What is the total interest earned?

Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0
<h3>Answer:    270.58 dollars</h3>

======================================================

Work Shown:

  • A = account value after t years
  • P = principal or amount deposited = 800
  • r = interest rate in decimal form = 0.06
  • n = number of times we compound per year = 1
  • t = number of years = 5

So,

A = P*(1+r/n)^(n*t)

A = 800*(1+0.06/1)^(1*5)

A = 1070.58046208

A = 1070.58

After five years, the account will have $1,070.58 in it.

The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.

You might be interested in
Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,
Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx

=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx

=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}

4 0
3 years ago
Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
NISA [10]

Answer:

\frac{\sqrt{\pi}}{4}

Step-by-step explanation:

You are going to integrate the following function:

g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}  (1)

furthermore, you know that:

\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}

lets call to this integral, the integral Io.

for a general form of I you have In:

I_n=\int_0^{\infty}x^ne^{-ax^2}dx

furthermore you use the fact that:

I_n=-\frac{\partial I_{n-2}}{\partial a}

by using this last expression in an iterative way you obtain the following:

\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}} (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}

5 0
3 years ago
Read 2 more answers
What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1"
frosja888 [35]

Multply both sides of the equation by 7.

\dfrac{x}{7}\cdot 7=\dfrac{4}{5}\cdot 7\\\\x=\dfrac{28}{5}=5.6

_____

When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.

In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.

7 0
3 years ago
What are the coordinates of the vertex of the table? Is it a minimum or a maximum?
Anit [1.1K]
The answer would be C.(-2,-3); Minimum.
You can tell be cause the points are going down<span />
3 0
3 years ago
What number is 15 less than 63?​
wariber [46]

Answer:

48

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP ME! Thank you!!!!!!
    5·1 answer
  • 7 - 3x = 3 ( 3- x ) - 2<br><br> Please help &amp; show how you got to the answer
    12·2 answers
  • you 494 miles from home and you are driving forward home at an average of 45 mhp. How long will it take to drive home if you mai
    14·1 answer
  • What is the number of ways to arrange 6 objects from a set of 10 different objects? A. 520. B. 78,400. C. 210. D. 151,200
    12·1 answer
  • Population 820 quake increases an annual rate of 22% so what will the approximate population be after 3 years?
    6·1 answer
  • A perfect square is a number whose square root is an integer. Fill in the perfect squares.
    5·1 answer
  • If i have a 20 dollar bill and a candy is 4 how many can i buy
    13·2 answers
  • 5.<br> 6a+b = 4<br> 5a + 2b = 1
    15·1 answer
  • What is 2x+54+4x-6=180<br>​
    11·1 answer
  • Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!