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VARVARA [1.3K]
3 years ago
7

7,300 at 7% compounded semiannually for 3 years.

Mathematics
2 answers:
Nina [5.8K]3 years ago
7 0
A = P(1 + r/n)^(nt) 

<span>A = 7300(1 + 0.07/2)^(2)(3) = 7300(1.035)^6 = 7300(1.2293) = $8973.56 </span>

<span>A = 2100(1 + 0.094/4)^(4)(2) = 2100(1.0235)^8 = 2100(1.2042) = $2528.84 </span>
Mrrafil [7]3 years ago
4 0
\bf ~~~~~~ \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$7300\\&#10;r=rate\to 7\%\to \frac{7}{100}\to &0.07\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{semi-annual, thus twice}&#10;\end{array}\to &2\\&#10;t=years\to &3&#10;\end{cases}&#10;\\\\\\&#10;A=7300\left(1+\frac{0.07}{2}\right)^{2\cdot 3}\implies A=7300(1.035)^6

and surely you know how much that is.
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I need help.. with thissss
damaskus [11]

9514 1404 393

Answer:

  7.06

Step-by-step explanation:

This triangle can be solved a couple of ways. In the end, they amount to the same thing.

1) The area is ...

  A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base

Using GE as the base, the height (DF) is ...

  A = (1/2)(17)(DF)

  2(60)/17 = DF = 120/17

  DF ≈ 7.06

__

2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...

  (long side)/(hypotenuse) = DE/GE = DF/DG

  DF = DG(DE/GE) = 8(15/17) = 120/17

  DF ≈ 7.06

5 0
2 years ago
PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE<br> LOOK AT LINKED IMAGE FOR QUESTION.
Pepsi [2]

Answer:

Graph A. not a function

Graph B. is a function

Mapping A. is a function

Mapping B. not a function

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Table B. is a function

8 0
2 years ago
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Store pays $50 for a pair of shoes. The markup is 25%.
monitta

Answer:

75%

Step-by-step explanation:

7 0
2 years ago
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Two ballpoint pens are selected at random from a box that contains 3 blue pens, 2 red pens, and 3 green pens. If X is the number
Flauer [41]

Answer:

a) f(x,y) =\frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b) = \frac{9}{14}

Step-by-step explanation:

joint probability is a function that characterizes the distribution of a random variable. If X and Y be two random variables then the joint probability will be P(X = x, Y=y)

Given Data,

X = The number of blue Pens

Y = The number of red Pens

a)

possible outcomes(X, Y) are (0, 0), (0, 1), (1, 0), (1, 1), (0, 2), (2,0)

Please refer fig. also

total number ways of selecting any 2 pens = \binom{8}{2}= \frac{8!}{2! 6!} =28

f(x,y) = \frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b)

P(X,Y)∈A = P(X + Y ≤ 1)

= P(0,0) + P(1,0) + P(0,1)

= \frac{3}{28} + \frac{3}{14} + \frac{9}{28}

= \frac{9}{14}

4 0
3 years ago
Is 1/3 a irrational number?
LenKa [72]

Answer: 13 is a rational number

Step-by-step explanation: By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.

8 0
2 years ago
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