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Karo-lina-s [1.5K]
3 years ago
10

Compound interest is given by the formula A = P ( 1 + r ) t . Where A is the balance of the account after t years, and P is the

starting principal invested at an annual percentage rate of r , expressed as a decimal. Alex is investing money into a savings account that pays 2% interest compounded annually, and plans to leave it there for 15 years. Determine what Alex needs to deposit now in order to have a balance of at least $40,000 in his savings account after 15 years. Alex will have to invest a minimum of $ now in order to have a balance of at least $40,000 in his savings account after 15 years. Round your answer to the nearest dollar.
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer:

I think it is $889, if not than I didn't understand a task

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The area of the square is 100 square centimeters. What is the area of the circle?
swat32

Answer:

  • Since the question is incomplete, see the figure attached and the explanation below.

Explanation:

Since the figure is missing, I enclose the figure of a square inscribed in a circle.

Since the <em>area of a square</em> is the side length squared, you can determine the side length:

  • Area = (side length)²
  • 100 cm² = (side lenght)²

        side\text{ }length=\sqrt{100cm^2}=10cm

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:

  • diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²

         diagonal=\sqrt{2\times (10cm)^2}\\ \\ diagonal=10\sqrt{2} cm

The area of the circle is π (radius)².

  • radius = diameter/2 = diagonal/2

        area= \pi \times (5\sqrt{2}cm)^2=50\pi cm^2

6 0
3 years ago
Brett warmed up for his basketball game by running around the court 3 times . If the court is 84 feet by 50 feet, how many feet
lana [24]

Answer:

804 feet

Step-by-step explanation:

Given: Dimension of a basketball court is 84 feet by 50 feet.

Considering the shape of basketball court is in rectangle shape.

∴ Finding the perimeter of rectangle to know total number of feet in one round.

Perimeter of rectangle= 2(l+w)

where, l= length

           w= width

∴ Perimeter of rectangular court= 2(84\ feet + 50\ feet)

⇒ Perimeter of rectangular court= 2(134\ feet)

Opening parenthesis

⇒ Perimeter of rectangular court= 2\times 134\ feet= 268\ feet

Hence, Brett run 268 feet in one round of warm up.

As given, Brett ran around the court 3 times.

∴ Total number of feet= 268\ feet\times 3= 804\ feet

Hence, Brett jog for 804 feet.

3 0
3 years ago
How much bigger is 1/2 to 1/3
natka813 [3]

Answer:

16.777% (7 repeating)

Step-by-step explanation:

well 1/2 is 50% and 1/3 is 33.333% so i think its about 16.777%

4 0
4 years ago
a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row.
ziro4ka [17]

Answer:

Mean =\sum x P(x) = 36.86

Standard deviation =\sum x^2P(X)=1360.9

Step-by-step explanation:

x          P(x) x \times P(x)       x^2 \times  P(x)

33         0.02     0.66          21.78

34          0.06     2.04         69.36

35           0.1      3.5        122.5

36           0.2      7.2         259.2

37           0.24     8.88        328.56

38           0.26     9.88        375.44

39            0.1     3.9         152.1

40            0.02     0.8         32

             1        36.86      1360.9

We are supposed to find mean and standard deviation

Mean =\sum x P(x) = 36.86

Standard deviation =\sum x^2P(X)=1360.9

7 0
3 years ago
5+8=6+7 true or false​
Romashka-Z-Leto [24]

Answer: True becuase  5+8 equals 13 and 6+7 also equal 13 so that means that they are equal to each other.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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