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nordsb [41]
2 years ago
8

Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12

envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.
Mathematics
1 answer:
AlekseyPX2 years ago
7 0

The balance after one year if you deposit one $50 envelope each month, all year is  $613.95.

<h3>What is the balance after one year?</h3>

The balance after 1 year can be determined using this formula:

Amount deposited monthly x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

  • r = interest rate = 5% /12 = 0.417%
  • n = number of years = 1 x 12 = 12

Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082

Balance = 12.279082 x 50 = $613.95

To learn more about annuities, please check: brainly.com/question/24108530

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ira [324]

Answer:

x = 16.6

Step-by-step explanation:

Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

tan(\theta) = \frac{opposite}{adjacent} \\tan(31^o)=\frac{10}{x}\\x=\frac{10}{tan(31^o)} \\x \approx 16.64279

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6 0
3 years ago
Solve the system of equations.
Alenkasestr [34]

Step-by-step explanation:

<u>Step 1:  Substitute x from the second equation into the second one</u>

2x - 9y = 14

2(-6y + 7) - 9y = 14

(2 * -6y) + (2 * 7) - 9y = 14

-12y + 14 - 9y = 14

-21y +14 - 14 = 14 - 14

-21y/-21 = 0 / -21

y = 0

<u>Step 2:  Substitute y into the second equation</u>

x = -6y + 7

x = -6(0) + 7

x = 0 + 7

x = 7

Answer:  x = 7, y = 0

4 0
3 years ago
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A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit th
pentagon [3]

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

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Viefleur [7K]
It must be 6 since the length sides r doubled and it's similar
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mezya [45]

Answer:

18

Step-by-step explanation:

We can work backwards with this and take 44-8=36

Then we divide it by two and thats 18

3 0
2 years ago
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