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klasskru [66]
3 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]3 years ago
7 0
The correct answer is C.<span>$2362.92</span>
guapka [62]3 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

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levacccp [35]

Answer:

Center = 15

Spread = 0.599

Shape = Normal

Step-by-step explanation:

The provided information is:

\mu_1=38 \ \ \ \ \ \ \ \ \mu_2 = 23\\\sigma_1 =2 \ \ \ \ \ \ \ \ \ \sigma_2=4\\n_1=45 \ \ \ \ \ \ \ \ n_2 =59

Thus the center(mean) of the distribution is:

\begin{aligned}Mean &= \mu_1-\mu_2\\&=38-23\\&=15\end{aligned}

The spread (standard deviation) of the distribution is:

\begin{aligned}\textrm{Standard deviation}&=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\&=\sqrt{\frac{4}{45}+\frac{16}{59}}\\&=0.599\end{aligned}

The shape of the distribution is also normally distributed.

3 0
3 years ago
Anyone Who UNDERSTANDS THIS??????
MrRissso [65]

1. The exponent will be a negative number.

2. The exponent will be a positive numbers.

<em>(Please mark this answer as Brainliest and leave a Thanks if I helped you!)</em>

6 0
3 years ago
The amount of time that a customer waits on hold at a call center can be modeled by a uniform distribution on the interval from
Contact [7]

Using the uniform distribution, we have that:

a) The density curve is given at the end of this question.

b) 16.67% of the time does a customer have to wait between 100 and 120 seconds.

-----------------

The uniform distribution has two bounds, a and b, and the probability of finding a value between c and d is given by:

P(c \leq X \leq d) = \frac{d - c}{b - a}

  • Uniform distribution on the interval of 0 to 120 seconds, thus a = 0, b = 120.

The proportion between 100 and 120 seconds is:

P(100 \leq X \leq 120) = \frac{120 - 100}{120 - 0} = \frac{1}{6} = 0.1667

0.1667*100% = 16.67%

16.67% of the time does a customer have to wait between 100 and 120 seconds.

A similar problem is given at brainly.com/question/15855314

4 0
2 years ago
Lol I hate these problems that's why I keep asking them.... thank you by the way.
Murljashka [212]
Subtract 9 so you have -2. Kx=-2 divide both sides by k. You have -2 over k
8 0
3 years ago
F(x)=x^4+3, g(x)=x-7 and h(x)=square root of x then f(g(h(x))=
SpyIntel [72]

Answer:

<em>x² - 28x√x + 294x - 1372√x + 2404 </em>

Step-by-step explanation:

f(x) = x^{4} + 3

g(x) = x - 7

h(x) = √x

f(g(h(x))) - ?

g(h(x)) = √x - 7

f(g(h(x))) = (\sqrt{x} -7) ^{4} + 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =

= (x - 14√x + 49)(x - 14√x + 49) + 3 =

= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =

=  <em>x² - 28x√x + 294x - 1372√x + 2404</em>

8 0
2 years ago
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