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2 years ago

If a person lnvests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years

Mathematics

1 answer:

Pie2 years ago

6 0

Answer:

$176.3193692 or $176.32 (rounded to two decimal places)

Step-by-step explanation:

It is a compound interest, which means the interest accumulates on an initial amount each period.

The formula is A=P(1+R)^n

A= the total amount P=initial amount R=rate n=time (years)

P=$120 Rate= 8% or 0.08 (decimal) n=5 (years)

A=120 (1+0.08)^2

A=120 (1.469328077)

A= 176.3193692

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A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.

creativ13 [48]

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

= 4d² -πd², but π = 22/7

= 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

= (6/28 d²) × 100%

= 21.42 %

Therefore; the answer is about 20%

3 0

3 years ago

Are the triangles shown congruent?

boyakko [2]

Answer:

the second one i think

Step-by-step explanation:

because both have 2 sides with 1 angle

5 0

3 years ago

Jose' traveled from his home in Ocala to Gainesville. Gainesville is 37 miles

Alja [10]

Answer:

The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Step-by-step explanation:

The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.

Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

7 0

3 years ago

Which number is a prime number?? 111 121 131 141

Fynjy0 [20]

The prime number you are looking for is 141

5 0

3 years ago

A radio transmission tower is 170 feet tall. how long should a guy wire be if it is attached 15 feet from the top and is to make

beks73 [17]

The image of the given scenario is attached below.

A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.

Using the formula of sine, we can write:

$sin(27)= \frac{155}{x} \\ \\ 
x= \frac{155}{sin(27)} \\ \\ 
x=341$

Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.

5 0

3 years ago