How to solve <br> 187=1/2*17(6+X)

In a survey, 60% of interviewees say they like beach sports, while 55% like mountain sports. If 20% like both, what fraction of

My name is Ann [436]

Answer:

0.05

Step-by-step explanation:

To solve this problem, we first need to calculate the percentage of people that like beach or mountain sports.

This percentage can be calculated with the formula:

P(M or B) = P(M) + P(B) - P(M and B)

where:

P(M or M) is the percentage of people that like beach or mountain sports,

P(B) is the percentage of people that like beach sports,

P(M) is the percentage of people that like mountain sports,

P(B) is the percentage of people that like beach and mountain sports.

Then:

P(M or B) = 0.55 + 0.60 - 0.20 = 0.95

95% of the people like mountain or beach sport. Now, to find the percentage of people that like neither, we just need to make 1 minus the percentage of people that like beach or mountain sports:

P(Neither) = 1 - P(M or B) = 1 - 0.95 = 0.05

0.05 or 5% of the people interviewed like neither of these sports.

7 0

3 years ago

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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (

aleksandr82 [10.1K]

Answer:

The principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.

Step-by-step explanation:

Given

Accrued Amount A = $1000000

Interest rate r = 6% = 0.06

Time period t = 45 years

Compounded monthly n = 12

To determine:

Principle amount P = ?

Using the formula

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

$P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}$

substituting A = 1000000, r = 0.06, t = 45, and n = 12

$P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:$

$=\frac{1000000}{1.005^{540}}$

$P = 67659.17$ $

Therefore, the principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.

7 0

3 years ago

A solid with two parallel and congruent bases cannot be which of the following?

natka813 [3]

<span> D. Pyramid
...........
</span>

5 0

3 years ago

The rectangle shown has a perimeter of 86 cm and the given area. Its length is 7 more than five times its width. Write and

Sati [7]

Answer: the length of the rectangle is 37ft

the width of the rectangle is 6 ft

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of the given rectangle is 86 feet. This means that

2(L + W) = 86

Dividing through by 2, it becomes

L + W = 43 - - - - - - - - - - - -1

Its length is 7 more than five times its width.. This means that

L = 5W + 7

Substituting L = 5W + 7 into equation 1, it becomes

5W + 7 + W = 43

6W + 7 = 43

6W = 43 - 7

6W = 36

W = 36/6

W = 6

L = 5W + 7 = 5 × 6 + 7

L = 37

3 0

3 years ago

Can somebody help and show work

Korvikt [17]

Answer:

Ask: Which two numbers add up to 44 and multiply to 33?

11 and 33

2

Rewrite the expression using the above.

(x+1)(x+3)(x+1)(x+3)

7 0

3 years ago

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How to solve 187=1/2*17(6+X)