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Sever21 [200]
3 years ago
8

Tony Giacomin deposited $1600 on July 3rd in a special investment account which earns 13% p.A. Simple interest. On August 17th h

e deposited another $5600 in the account. If he closed the account on November 12th by withdrawing the total balance, calculate how much his investment has earned over this period of time.
Mathematics
1 answer:
Burka [1]3 years ago
8 0

Answer:

$248.75

Step-by-step explanation:

We are told that the interest rate is 13% per Annum = 13% per year

Hence, the interest rate in a month = 13% /12

= 1.0833333333% in a month

Tony Giacomin deposited $1600 on July 3rd in a special investment account which earns 13% p.A. Simple interest.

Interest = Principal × rate × time

Rate = 13% = 0.13

Time = July 3rd - November 12 = 132 days

= $1600 × 0.13 × 132/365

= $75.221917808

On August 17th he deposited another $5600 in the account. If he closed the account on November 12th

Interest = Principal × rate × time

Rate = 13% = 0.13

Time = August 17th - November 12 = 87 days

= $5600 × 0.13 × 87/365

= $173.52328767123288

The next step would be to add these Interests together

$173.52328767123288 + $75.221917808

= $248.74520548

Approximately ≈ $248.75

Therefore, his investment that he has earned over this period of time is $248.75

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A smaller square is within a larger square as shown below. A point is chosen at random in the larger square. What percent of the
Bas_tet [7]

Answer: 84.5%

Step-by-step explanation:

15.2 × 15.2 = 231.04 cm² (area of the entire large square)

5.98 × 5.98 = 35.76 cm² (area of the small square)

large square - small square = area of the blue region

231.04 - 35.76 = 195.28 cm² (area of the blue region)

\frac{area of the blue region}{large square} = percentage of time that the point will be in the blue region

\frac{195.28}{231.04} = 0.845 --> 84.5%

4 0
3 years ago
In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm. Find the perimeter of the figu
nasty-shy [4]

Answer:

<em>P= 5.5 cm</em>

Step-by-step explanation:

<u>The Perimeter of Plane Shapes</u>

If we are given a plane shape, the perimeter is the measurement of the boundary of it. In case the shape is made of lines, the perimeter is the sum of the lengths of all of them.

We are given an irregular shape, we only need to add all the sides. But we don't have all the individual sides. Let's write the expression for the perimeter.

P=AE+ED+DC+CB+BA

We have: AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm. Note we don't have AE or DC, but we have their sum, so

P=AE+DC+ED+CB+BA

Recall that AB=BA, the order of the letters is not important. The perimeter is

\displaystyle P=1\frac{1}{5}+1\frac{1}{4}+1\frac{3}{10}+1\frac{3}{4}

We add the integer parts separate from the fractions

\displaystyle P=4+\frac{1}{5}+\frac{1}{4}+\frac{3}{10}+\frac{3}{4}

Now we use the common denominator (Least Common Multiple or LCM ) which is 20:

\displaystyle P=4+\frac{4+5+6+15}{20}

Operating

\displaystyle P=4+\frac{30}{20}

Simplifying

\displaystyle P=4+\frac{3}{2}

\displaystyle P=\frac{11}{2}=5.5\ cm

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kicyunya [14]

Answer:

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- Todo ❤️

Step-by-step explanation:

Is/of=%/100

8/20=%/100

8*100=800

800/20=40

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