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
Elena L [17]
3 years ago
10

You deposit $10,000 in an account that pays 4.5% interest compounded quarterly. Find the future value after one year. ​

Mathematics
2 answers:
Andreas93 [3]3 years ago
8 0

Answer:

After 1 year, $10,457.65

Step-by-step explanation:

P = $ 10, 000

r = 4.5% = 0.045

T = 1 year

n = 4 ( compounded quarterly )

      A = P( 1 + \frac{r}{n})^{nt}

         = 10000( 1 + \frac{0.045}{4})^{4 \times 1}\\\\=10000 \times 1.01125^{4}\\\\= 10000 \times 1.04576508633\\\\= 10457.6508633\\\\= \$ 10, 457.65

Dominik [7]3 years ago
5 0

Answer:

11800

Step-by-step explanation:

4.5%=0.045

0.045x10,000=450

450x4(quarterly)=1800

10,000+1800= 11800

You might be interested in
What is the solution set of the equation 3x^2-34x-24=0?
scoray [572]
X= 6/17or the alternative form is 0.352941
7 0
3 years ago
Find the equation of the parabola with focus (5, 1) and directrix y = -1.
Mumz [18]
Check the picture below.

since the focus point is above the directrix, that simply means the parabola is a vertical one, and therefore the square variable is the "x".

keeping in mind that, there's a distance "p" from the vertex to either the focus point or the directrix, that puts the vertex half-way between those fellows, in this case at 0, right between 1 and -1, as you see in the picture, and the parabola looks like so.

since the parabola is opening upwards, the value for "p" is positive, thus

\bf \textit{parabola vertex form with focus point distance}
\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=5\\
k=0\\
p=1
\end{cases}\implies 4(1)(y-0)=(x-5)^2
\\\\\\
4y=(x-5)^2\implies  y=\cfrac{1}{4}(x-5)^2

8 0
3 years ago
the five gonzalez children had a total of $66.30 to spend at the fair. How much would each child have to spend?
OverLord2011 [107]
The answer is: $13.26
8 0
3 years ago
Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
Scorpion4ik [409]

Answer:

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.

Step-by-step explanation:

The probability, in this case, has to be calculated using the sum rule because the events are independent. 

P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it. 

Facts:

P(men) = 60% = 99/165

P(non-fiction) = 40% = 66/165

P(men non-fiction) = 40/165

P = P(men) + P(non-fiction) – P(men non-fiction)

P = 99/165 + 66/165 – 40/165

P = 125/165

P = 0.758 or 75.8%

3 0
3 years ago
2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant o
Tems11 [23]

Answer:

Constant of variation: $8.25

Equation: y=8.25x

Step-by-step explanation:

231/28=8.25

6 0
3 years ago
Other questions:
  • HELP PLEASE!!!!!!!!!!!!!!!!
    6·2 answers
  • Help and explanation with this probability question would be really appreciated :)
    15·1 answer
  • Find the next three terms in the pattern: 9, 4, -1, -6, -11... . Then, describe the pattern.
    15·1 answer
  • Write and solve a proportion to answer the question.
    14·1 answer
  • HELPPPP PLEASEEEEEEEEE
    9·2 answers
  • Need help quickly! Thanks
    7·1 answer
  • If ab and cd are congruent what is the measure of chord ab
    15·1 answer
  • Question 3 of 10
    8·1 answer
  • A room is 16 feet, 8 inches long and the ratio of lenght to the widthis 4 to 5. what is the width of the room?
    7·1 answer
  • Help with practice problem
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!