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
almond37 [142]
3 years ago
13

3.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0
To solve this we are going to use the future value of annuity due formula: FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic deposit 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
k is the number of deposits per year

We know for our problem that P=420 and t=15. To convert the interest rate to decimal form, we are going to divide the rate by 100%: r= \frac{10}{100} =0.1. Since Ruben makes the deposits every 6 months, k=2. The interest is compounded semiannually, so 2 times per year; therefore, k=2.
Lets replace the values in our formula:

FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]
FV=29299.53

We can conclude that the correct answer is <span>$29,299.53</span>
You might be interested in
Write in function form. Then make a graph NEED HELP ASAP PLSSS
Kaylis [27]

Solving for Y

3x+y=2

y=2-3x

y=2-3x,x R

Solving for X

3x+y=2

3x=2-y

x= 2/3-1/3y

x=2/3-1/3y

Find the x-intercept

3x+y=2

3x+0=2

3x=2

x=2/3

Find the y-intercept

3x+y=2

3 times 0+y=2

y=2

5 0
2 years ago
-4x-10x simplify the expression
n200080 [17]

Answer:

= -14x

Step-by-step explanation:

Since the equation is saying to subtract 10x, we are going to change the minus sign to a addition sign and change positive 10 to negative and continue the rest.

4 0
3 years ago
Read 2 more answers
Given: *ABC ~ *DMV ; DM = ___
jeka57 [31]

Answer:

DM should equal 20 inches

6 0
3 years ago
What is the value of a and b
TEA [102]
Hey i would answer but you didn’t provide enough context! make sure to upload images with your question hun.
4 0
3 years ago
3) This is a writer's opinion or way of seeing an issue.
Ivahew [28]

Answer:

the word is viewpoint

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • In attempting to become financially organized, a person:
    10·2 answers
  • Which of the following types of graphs is best for plotting the mean, median, and mode of data?
    9·2 answers
  • 1) 5÷4=25÷y
    12·1 answer
  • In a high-school, 135 freshmen were interviewed.
    9·1 answer
  • Lena won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 7 rings, 1 came
    9·1 answer
  • PLEASE HELP: Click on the graph to choose the correct answer to the equation.
    13·1 answer
  • Is this a right triangle? Hypotenuse is 15 adjacent is 9 and the opp is 12
    13·1 answer
  • Help<br> i dunno it<br> please please
    11·1 answer
  • Graph the following line <br> Y=4/3x - 5
    12·1 answer
  • Which table represents a function?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!