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grigory [225]
2 years ago
10

Ellen deposits $6,773 into an account earning 1% annually. After seven years what will Ellen's balance have grown to, including

interest?
Mathematics
1 answer:
enyata [817]2 years ago
3 0
Each accounts have different amounts of interests, so for this i'm going to use 0.5%

First of all there are quick and easy ways to solve this, here is the most time consuming (explained way to do this):

6773 * 101% = Account balance without interest  (100% + 1% = 101%)
6773 * 101% = <span>6840.73 (first year)
</span>6840.73 * 101% = 6909.1373 (second year)
6909.1373 * 101% = 6978.228673 (third year)
6978.228673 * 101% = 7048.01095973<span> (fourth year)
</span>7048.01095973 * 101% = 7118.49106933<span> (fifth year)
</span>7118.49106933 * 101% = 7189.67598002<span> (sixth year)
</span>7189.67598002 * 101% = 7261.57273982 (seventh year)

So the balance without interest by the 7th year is : 7261.57 (2 DP)
Subtracting the interest of 0.5% (assumption) :
7261.57 * 99.50% = <span>7225.26215 or 7225.26 (2 DP)

Note this way is extremely time consuming, I was just showing the process. I may not be right though, if my logic seems right, use this answer.</span>
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navik [9.2K]
You have to multilpy them . answer would be 2021.175 
8 0
2 years ago
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In circle M shown, chords GH and EF intersect at K such that EK  5 and FK  6 . If GK  3 , then which of the following is the
myrzilka [38]

The length of the GH segment is 13  

Step-by-step explanation:

For solving this problem we need to remember some of the circle corollaries-

When two-chord intersects each other, the product of the chord segments are equal

The above corollary can be easily understood by looking at a diagram attached below-

In the figure, EF and GH are two chords intersecting at K

Thus, EK*KF= GK*KH

Values of the EK, KF, GK are given as 5, 6 and 3 respectively

Substituting the values we get

5*6=3*KH

KH= 10

We know that GH= GK+KH

Thus GH= 3+10= 13

6 0
2 years ago
For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.
Andru [333]

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

3 0
2 years ago
Determine the margin of error, m , of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume
madreJ [45]

Answer:

E= 6.45

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

Step-by-step explanation:

Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.

General formula for the margin of error is

Margin of error = critical value  ×   standard error of statistic

                        = z \alpha /2  ×   σ √n

z-value from two tailed is listed below:

From the table of standard normal distribution, probability value of 0.10.

row and column values gives the area to the two tail of z.

The positive z value is 2.58.

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

after putting these vales we obtain the margin of error value that is

E= 6.45

7 0
2 years ago
A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to
omeli [17]

Answer:

  • circumscribed circle
  • The center of a circle circumscribing the triangle connecting the 3 cities will be equidistant from all three cities.

Step-by-step explanation:

The circumscribed circle or <em>circumcircle</em> of a polygon is a circle that passes through all the vertices of the polygon. The center of the circle, the circumcenter, is equidistant from all of the polygon's vertices.

The center is found at the point of intersection between the perpendicular bisectors of any two (non-parallel) chords of the circle. That is, <em>the perpendicular bisectors of any two of the sides of the triangle joining the cities will intersect at the circumcenter</em>.

The method of locating the center of the circle this way is simple and effective.

7 0
2 years ago
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