answer.
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
klasskru [66]
2 years ago
13

Nora's savings account has a balance of $3979. After 4 years, what will the amount of interest be at 12% compounded semiannually

? a. $2367.92 c. $2362.92 b. $4774.80 d. $2353.92
Mathematics
2 answers:
alexgriva [62]2 years ago
7 0
The correct answer is C.<span>$2362.92</span>
guapka [62]2 years ago
4 0

Answer:

Option C  I=\$2,362.92

Step-by-step explanation:

we know that

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

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  

n is the number of times interest is compounded per year

in this problem we have  

t=4\ years\\ P=\$3,979\\ r=0.12\\n=2  

substitute in the formula above  

A=\$3,979(1+\frac{0.12}{2})^{2*4}  

A=\$6,341.92  

Find the amount of interest

I=\$6,341.92-\$3,979=\$2,362.92

You might be interested in
What is it called when you put two of the same variables together
DaniilM [7]

Answer:

In algebra, like terms are terms that have the same variables and powers.

3 0
2 years ago
Read 2 more answers
Which sentence can represent the inequality One-half x + three-fourths greater-than-or-equal-to 5 and one-fourth?
hodyreva [135]

Answer:

  The sum of half of a number and three-fourths is at least five and one quarter

Step-by-step explanation:

It's all about making sense of an English sentence.

  "half the sum ..." is different from "the sum of half ..."

And ...

  "at least" and "not less than" mean the same (≥)

  "not more than" and "at most" mean the same (≤)

_____

Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.

__

"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"

  means the same as ...

"The sum of half of a number and three-fourths is at least five and one quarter"

6 0
2 years ago
Read 2 more answers
Bryan earns $5.00 per lawn mowed and $5.00 per car washed. Let m be the number of lawns mowed and let c be the number of cars wa
Harrizon [31]

Answer:

5m+c

Step-by-step explanation:

4 0
2 years ago
Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She observed that the populati
Oksana_A [137]

Answer:

P(t) = 27000 * (1/9)^(t/4)

Step-by-step explanation:

This problem can me modelled with an exponencial formula:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.

So, our function will be:

P(t) = 27000 * (1-8/9)^(t/4)

P(t) = 27000 * (1/9)^(t/4)

8 0
2 years ago
Read 2 more answers
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
2 years ago
Other questions:
  • Mary Hernandez had a policy with a $250 deductible which paid 80% of her covered charges less deductible. She had medical expens
    11·2 answers
  • The graph of this system of equations is used to solve 4x^2-3x+6=2x^4-9x^3+2x What represents the solution set?
    6·2 answers
  • A sampling interval of 10 was used to select a sample from a population of 5,000. how many elements are to be in the sample? a.
    14·1 answer
  • Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as hi
    6·2 answers
  • (6-2.7h)+(-1.3j-4)<br><br> ?
    10·2 answers
  • A taxi cab in myrtle beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12, how far did
    7·1 answer
  • Help me with this question please!
    10·2 answers
  • A student wants to determine if pennies are really fair when flipped, meaning equally likely to land heads up or tails up. He fl
    13·1 answer
  • A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records
    11·2 answers
  • Zamba has found a little black dress on sale for 50% off the original price of $239.99. She also has a coupon offering free ship
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!