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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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Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

              Statements                              Reasons

1). DE║AB                                              1). Given

2). ∠CDE ≅ ∠CAB                                2). Corresponding angles

                                                [Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA                                3). Corresponding angles

                                                [Since DE║AB and BC is the transverse]

4). ΔABC ~ ΔDEC                                 4). By AA property of similarity    

Hence ΔABC is similar to ΔDEC.

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3 years ago
Find the missing angle<br>PLZ HELP ​
Nadusha1986 [10]

Answer:

The answer is 94 degrees.

Step-by-step explanation:

The total number of degrees in a triangle is 180.

So you would subtract 35 and 51 from 180.

180-35-51=94

Hope this helps <3

6 0
3 years ago
Name:
saveliy_v [14]
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                 2x + y = 1
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3 years ago
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