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Ivahew [28]
1 year ago
9

A mutual fund has total assets of $55,000,000 and total liabilities of $6,000,000. There are 1,500,000 shares outstanding. Find

the net asset value of the mutual fund. (Round your answer to the nearest cent.)
Mathematics
1 answer:
tia_tia [17]1 year ago
4 0

Answer:

$32.67

Explanation:

The net asset value can be calculated using the following equation:

\text{net asset value = }\frac{Total\text{ Assets - Total Liabilities}}{Number\text{ of outstanding shares}}

So, replacing the values, we get:

\begin{gathered} \text{net asset value = }\frac{55,000,000-6,000,000}{1,500,000} \\ \text{net asset value = }\frac{49,000,000}{1,500,000}=\text{ \$32.67} \end{gathered}

Therefore, the net asset value is $32.67

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A person is 6 feet tall and casts a shadow of 3.2 ft at the same time a tree casts a shadow of 36.8 ft how tall is the tree?
Elan Coil [88]

Answer:

18.5

Step-by-step explanation:

5 0
3 years ago
MARK AS BRAINLIEST An artist has a block of clay in the shape of a cube. The edges of the cube measure 3 inches. The artist will
Xelga [282]

Answer:

22

Step-by-step explanation:

The volume of a cube is given as:

Cube volume = length × length × length

Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:

Cube volume = 3 inches × 3 inches × 3 inches = 27 in³

The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.

The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³

The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9

The number of pine trees = 22

7 0
3 years ago
An urn contains nine red and one blue balls. A second urn contains one red and five blue balls. One ball is removed from each ur
il63 [147K]

Answer:

0.362

Step-by-step explanation:

When drawing randomly from the 1st and 2nd urn, 4 case scenarios may happen:

- Red ball is drawn from the 1st urn with a probability of 9/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this case to happen is (9/10)*(1/6) = 9/60 = 3/20 or 0.15. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 5 blue)/(8 red + 1 blue + 5 blue) = 6/14 = 3/7.

- Red ball is drawn from the 1st urn with a probability of 9/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (9/10)*(5/6) = 45/60 = 3/4 or 0.75. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 4 blue)/(8 red + 1 blue + 1 red + 4 blue) = 5/14

- Blue ball is drawn from the 1st urn with a probability of 1/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (1/10)*(5/6) = 5/60 = 1/12. The probability that a ball drawn randomly from the third urn is blue given this scenario is (4 blue)/(9 red + 1 red + 4 blue) = 4/14 = 2/7

- Blue ball is drawn from the 1st urn with a probability of 1/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this event to happen is (1/10)*(1/6) = 1/60. The probability that a ball drawn randomly from the third urn is blue given this scenario is (5 blue)/(9 red + 5 blue) = 5/14.

Overall, the total probability that a ball drawn randomly from the third urn is blue is the sum of product of each scenario to happen with their respective given probability

P = 0.15(3/7) + 0.75(5/14) + (1/12)*(2/7) + (1/60)*(5/14) = 0.362

8 0
3 years ago
A store sold a total of 21,650 balls. It sold 11,795 baseballs It sold 4,150 fewer basketballs than baseballs. The rest of the b
oksian1 [2.3K]

Answer:

The store sold 2,210 footballs.

Step-by-step explanation:

7 0
3 years ago
F(x) = - |x| +4 Define the key features of the graph to the provided absolute value function
Kisachek [45]

Answer:

1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.

2. The +4 moves the function vertically 4 units upwards.

Step-by-step explanation:

We are given the function  f(x) = - |x| +4. We know that the function f(x) = |x| only has positive values, so when x>0 the function is a straight line as in the function f(x) = x. When x<0 the function is also positive, as in the function f(x) = -x. So the graph is V-shaped with the vertex at the origin.

The f(x) = - |x| +4 has two important caracteristics:

1. The minus before the |x| reflects the function in the x-axis. So it will still be V-shaped but instead but refected in the x-axis.

2. The +4 moves the function vertically 4 units upwards.

So the graph of f(x) = - |x| +4 will be V-shaped, reflected in the x-axis and moved 4 units upwards.

Attached you can find the graph

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