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Nataly [62]
4 years ago
14

You put $939 into an investment at 8% for six years. What will the balance be at the end of six years?

Mathematics
2 answers:
nata0808 [166]4 years ago
8 0

Answer:

$1490.074

Step-by-step explanation:

Hello

Well, the formula for determining the final capital is as follows: CF = CI (1 + i) ^ n where CF is the final capital, CI is the initial capital, i is the interest rates and n is the term or number of periods

Cf=Ci(1+i)^{n}

step 1

we need to convert the 8% to decimal

8%= 8/100 = 0.08

Step 2

replace

Cf=Ci(1+i)^{n}\\Cf=939(1+0.08)^{6}\\Cf=939(1.08^{6})\\Cf=939(1.5868)\\Cf=1490.074

Cf= $1490.074

final balance  $1490.074

have a great day.

Afina-wow [57]4 years ago
7 0
At simple interest it will be 939+939×6×0.08=$1389.72.
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Which equation has a graph that goes through the points (4, -6) and (0, 6)?
Ugo [173]

Answer:

y = -3x + 6\\

Step-by-step explanation:

Find the gradient of the equation

\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4}  = \frac{12}{-4} = -3

The equation will have the gradient -3x

Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

y = x + c\\ y = -3x + c\\

(4, -6)

-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 66 = -3(0) + c\\ 6 = 0 + c\\ c = 6

(0, 6)

6 = -3(0) + c\\ 6 = -0 + c\\ c = 6

The equation of the line is

y = -3x + 6\\

4 0
4 years ago
Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes c
pshichka [43]

Answer:

The relative frequency is found by dividing the class frequencies by the total number of observations

Step-by-step explanation:

Relative frequency measures how often a value appears relative to the sum of the total values.

An example of how relative frequency is calculated

Here are the scores and frequency of students in a maths test

Scores (classes)              Frequency                Relative frequency

0 - 20                                10                               10 / 50 = 0.2

21 - 40                               15                               15 / 50 = 0.3

41 - 60                               10                               10 / 50 = 0.2

61 - 80                                5                                 5 / 50  = 0.1

81 - 100                             <u> 10</u>                                10 / 50 = <u>0.2</u>

                                          50                                               1

From the above example, it can be seen that :

  1. two or more classes  can have the same relative frequency
  2. The relative frequency is found by dividing the class frequencies by the total number of observations.
  3. The sum of the relative frequencies must be equal to one
  4. The sum of the frequencies and not the relative frequencies is equal to the number of observations.

4 0
3 years ago
4 is added to the data set 22, 25, 31, 33, 24. Answer true or false for the following statements.
Vedmedyk [2.9K]

Answer:

The range and mean will increase - False

(because only range will increase, mean will decrease)

The mean and median will decrease - True

The mean will decrease but the median will stay the same - False

(Both of mean and median will decrease)

An outlier is more likely to change the median than the mean - False

(An outlier is more likely to change the mean than the median)

3 0
4 years ago
winthrop has $4.40 worth of nickles and dimes. If winthrop has 3.5 times as many nickles as he has dimes, how many dimes does he
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Answer:

16

Step-by-step explanation:

If n is number of nickles and d is number of dimes:

5n + 10d = 440

n = 3.5d

Substitute:

5(3.5)d + 10d = 440

17.5d + 10d = 440

27.5d = 440

d = 16

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garik1379 [7]

Answer:

D. a is equal to  \frac{1}{4}

Step-by-step explanation:

Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.

Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.

Then;

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Therefore, a must be equal to \frac{1}{4}, so that;

PX = 8a

     = 8 x  \frac{1}{4}

     = 2 units

Thus, a is equal to  \frac{1}{4} is the correct option.

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