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Lena [83]
3 years ago
15

Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to 5.4% of her annua

l salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is $2,461, determine the amount in her account after 25 years. Round to the nearest cent.
a.
$339,804.33
b.
$354,452.86
c.
$344,941.24
d.
$347,269.59



Please select the best answer from the choices provided


A
B
C
D
Mathematics
2 answers:
dalvyx [7]3 years ago
7 0

Answer:

a.  $339,804.33

ivann1987 [24]3 years ago
7 0

Answer:

Step-by-step explanation:The answer is  $339,804.33 and do you give a brainliest on this question

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In a random sample of microwave​ ovens, the mean repair cost was ​$ and the standard deviation was ​$. Using the standard normal
Semmy [17]

Complete Question

In a random sample of 13 microwave ovens, the mean repair cost was $90.00 and the standard deviation was $15.20. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, assume the population is normally distributed, find the margin of error and construct a 98% confidence interval for the population mean u. A 98% confidence interval using the t-distribution was (78.7,101.3). Compare the results. The margin of error of u is

Answer:

The value  is  E = 11.65

Step-by-step explanation:

From the question we are told that

    The sample is  n  = 13

     The sample mean is  \= x  =  \$ 90

     The standard deviation is  \sigma = \$ 15.20

      The  lower limit of the  98% confidence interval is a =  78.7

      The  upper  limit of the  98% confidence interval is b =  101.3

Generally the margin of error is mathematically represented as

        E = \frac{b-a}{2}

=>    E = \frac{ 101.3 - 78 }{2}

=>    E = 11.65

7 0
3 years ago
Tobias is making scones. The recipe calls for 2/3 cup of flour to make 6 scones. What is the unit rate for cups of flour per sco
MA_775_DIABLO [31]

Answer:

A. 1/9 cup of flour per scone.

B. 9 scones per cup of flour.

Step-by-step explanation:

We're given that Tobias uses 2/3 cup of flour makes 6 scones.

A. The unit rate of cup of flour per scone will be the cup of flour used to make a particular number of scones divided by that number of scones. Mathematically,

U. R. = (cup of flour)/(number of scones)

U. R. = (2/3)/6= 2/(3 *6)

U. R. = 2/18 = 1/9 or 0.11 scones per cup of flour.

B. (i) Method 1

Following the same method we used in (A) above, we need to divide the number of scones by the cup of flour used to make said number of scones. Mathematically,

U. R. = (number of scones)/(cup of flour)

U. R. = 6/(2/3) = (6 * 3)/2

U. R. = (6 * 3)/2 = 18/2

U. R. = 9 scones per cup of flour.

(ii) Method 2

Let the number of scones that can be made with 1 cup of flour(Unit rate for number of scones per cup of flour) be x. Then:

2/3 cup of flour = 6 scones

1 cup of flour = x scones

By cross multiplying and solving:

x = (6 * 1) / (2/3)

x = (6 * 3) / 2

x = 18/2 = 9 scones per cup of flour.

6 0
3 years ago
9. Complete the table by rounding the given number to the given place value.
seropon [69]
73700 is the answer






























5 0
4 years ago
I need help with this question
bearhunter [10]

Answer:

  7.28 miles

Step-by-step explanation:

Suppose the distance at closest approach is represented by x. Then the distance to the point of closest approach at the first sighting is ...

  d1 = x·tan(62°)

At the second sighting, the distance to the point of closest approach is ...

  d2 = x·tan(38°)

The difference of these distances is 8 miles, so we have ...

  d1 -d2 = 8 = x(tan(62°) -tan(38°))

Dividing by the coefficient of x, we find ...

  x = 8/(tan(62°) -tan(38°)) ≈ 7.2764 . . . . miles

The point of closest approach is about 7.28 miles from the landmark.

5 0
3 years ago
Polygon F has an area of 36 square units. Aimar drew a scaled version of Polygon F and labeled it Polygon G. Polygon G has an ar
mariarad [96]

Area is a squared number.  We know that from the label we use when we solve problems involving area.  Perimeter is a single unit label.  This single unit label can also be used to find scale factor, since single unit labels are one-to-one.  If the area of polygon F is 36, that means that the single unit measure was a number that was squared to get to the area.  Same goes for polygon G.  That means that in order to find the single unit measure of each of those we have to take the square root of the area.  The square root of 36 is 6, and the square root of 4 is 2.  6:2 is the scale factor, but that can be reduced to 3:1, larger to smaller.

6 0
3 years ago
Read 2 more answers
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