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Marina CMI [18]
3 years ago
11

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
7 0
The owner's account would have a balance of $4075.05 in 10 years.
Xelga [282]3 years ago
4 0

Answer:

\sum_{n=1}^{10} 316.5 (1.055)^{n-1}

Step-by-step explanation:

The amount (A) in a deposit after 1 year is calculated as follows:

A = P*(1 + r)

where:

P is the present value

r is the annual rate (decimal)

After the first year:

A = 300*(1 + 0.055) = $316.5

After the second year, the account will have a new amount of $316.5 due to the new $300 and the interest gained with the previous $316.5:

A = 316.5 + 316.5*(1 + 0.055)

After the third year:

A = 316.5 + [316.5 + 316.5*(1 + 0.055)]*(1 + 0.55)

A = 316.5 + 316.5*(1 + 0.055) + 316.5*(1 + 0.055)^2

After 10 years:

\sum_{n=1}^{10} 316.5 (1.055)^{n-1}

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mylen [45]
Problem 1

With limits, you are looking to see what happens when x gets closer to some value. For example, as x gets closer to x = 2 (from the left and right side), then y is getting closer and closer to y = 1/2. Therefore the limiting value is 1/2

Another example: as x gets closer to x = 4 from the right hand side, the y value gets closer to y = 4. This y value is different if you approach x = 0 from the left side (y would approach y = 1/2)

Use examples like this and you'll get the results you see in "figure 1"

For any function values, you'll look for actual points on the graph. A point does not exist if there is an open circle. There is an open circle at x = 2 for instance, so that's why f(2) = UND. On the other hand, f(0) is defined and it is equal to 4 as the point (0,4) is on the function curve.

=======================================================

Problem 2

This is basically an extension of problem 1. The same idea applies. See "figure 2" (in the attached images) for the answers. 

6 0
3 years ago
4 /5 fraction can be rewritten as _____
patriot [66]

Answer:

8/10, 12/15, 16/20 and so on

Step-by-step explanation:

4x2/5x2 = 8/10
4x3/5x3 = 12/15
4x4/5x4 = 16/20 and so on

3 0
2 years ago
Adratic Formula
maw [93]

Answer:

Step-by-step explanation:

discriminant=5²-4×1×7=25-28=-3<0

no real number solution.

5 0
3 years ago
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five people, each working 8 hours a day, can assemble 400 toys in a five day work week. what is the average number of toys assem
vladimir1956 [14]

The question asks for the rate of toys per hour.

So we shall divide the total toys assembled by the total hours.

Its a five day week.

The number of hours allotted per day are 8.

So total allotted during the week are 8 × 5 = 40 hours.

Number of toys made during the week are 400.

Hence the number of toys assembled per hour per person

= number of toys / number of hours

= 400 / 40

= 10 toys per hour per person.

The average number of toys assembled per hour per person is 10.


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3 years ago
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