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
S_A_V [24]
3 years ago
11

Melanie invested $5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawa

ls are made, how much money, to the nearest dollar, would be in the account after 11 years?
Mathematics
1 answer:
Phantasy [73]3 years ago
7 0

Answer:

A=\$11,748.76

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=11\ years\\ P=\$5,500\\ r=6.9\%=6.9/100=0.069  

substitute in the formula above

A=5,500(e)^{0.069*11}  

A=5,500(e)^{0.759}  

A=\$11,748.76

You might be interested in
Find the product of the greatest common divisor and the least common multiple of $100$ and $120.$
dem82 [27]

Answer:

100

Step-by-step explanation:

7 0
3 years ago
A store owner is interested in opening a second shop. She wants to estimate the true average daily revenue of her current shop t
Alex
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it. 
The confidence interval can be calculated using following formula:
\overline{x} \pm \frac{zs}{\sqrt n}
Where \overline{x} is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
s=\sqrt{315900.20}=\$562.05
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
3472.00\pm \frac{1.960\cdot 562.05}{\sqrt{60}}\\ \$3472.00\pm142.22


6 0
3 years ago
Find the measures of ∠B and ∠C. PLEASE HELP!!
BartSMP [9]

It's an isosceles triangle, therefore m∠B = m∠C.

We have the equation:

2x + 10 = 3x - 5      <em>subtract 10 from both sides</em>

2x = 3x - 15     <em>subtract 3x from both sides</em>

-x = -15     <em>change the signs</em>

x = 15

m∠B = (2x + 10)°

m∠B = (2 · 15 + 10)° = (30 + 10)° = 40°

We know, the sum of measures of a tringle is equal 180°.

m∠A + m∠B + m∠C = 180°

m∠B = m∠C = 40°

<h3>Answer: ∠B = 40° and ∠C = 40°</h3>
8 0
3 years ago
What are the two major theories of how Native American arrived in the Western Hemisphere? Which is the most popular and also exp
Virty [35]
The land bridge (Bering strait) and the crossing from Canada
4 0
3 years ago
Factor the expression completely.
evablogger [386]

Answer:

Factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

Step-by-step explanation:

We need to factor the expression xy^4+x^4y^4 completely

We need to find common terms in the expression.

Looking at the expression, we get xy^4 is common in both terms, so we can write:

xy^4+x^4y^4\\=xy^4(1+x^3)

So, taking out the common expression we get: xy^4(1+x^3)

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

a^3+b^3=(a+b)(a^2-ab+b^2)

So, we get:

xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)

Therefor factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

6 0
3 years ago
Other questions:
  • Can someone graph this equation? 5x-5=5x+2
    12·1 answer
  • The price of a share of stock started theday at $37. During the day it went down $3, up $1, down $7, and up $4.What was the pric
    6·2 answers
  • B ÷ -2 =5 will it be negative or positive
    13·2 answers
  • 41 coins, consisting of nickels and quarters, have a total value of $4.65. How many coins of each kind are there?
    8·2 answers
  • Express the quotient in simplest form.
    14·1 answer
  • Solve for a:<br> -3a + 8 = 14
    14·1 answer
  • 15 POINTS PLS HELP
    6·1 answer
  • please please help me please help me please help me please help me please help me please help me please help me please hel​
    13·1 answer
  • Add:<br><br> (2^3 − + 4) + (5^2 − 6 + 3)
    15·1 answer
  • 1. Find the volume of the rectangular prism
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!