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3 years ago

19) Mr. Kelly finds a nice little bank (GOLIATH NATIONAL BANK) to invest the money he made from his

Mathematics

1 answer:

goblinko [34]3 years ago

4 0

Answer:

Step-by-step explanation:

Answer: it will take 17.5 years to double his money in the account.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $500

A = 500 × 2 = $1000

r = 4% = 4/100 = 0.04

n = 4 because it was compounded 3 times in a year.

Therefore,.

1000 = 500(1 + 0.04/4)^4 × t

1000/500 = (1 + 0.01)^4t

2 = (1.01)^4t

Taking log of both sides, it becomes

Log2 = 4tlog 1.01

0.301 = 4t × 0.0043 = 0.0172t

t = 0.301/0.0172

t = 17.5 years

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Answer:

$x=\frac{-9}{7}$

$y=\frac{-17}{7}$

Step-by-step explanation:

We have been given the equation:

$3x-2y-1=0$

And $y=5x+4$

Second equation can be rewritten as:

$5x-y=-4$

We will solve the equations:

$3x-2y=1$ (1)

$5x-y=-4$ (2)

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$15x-10y=5$ (3)

$15x-3y=-12$ (4)

Now, subtract (4) from (3) we get:

$-7y=17$

$y=\frac{-17}{7}$

Now substitute $y=\frac{-17}{7}$ in equation (1) we get:

$3x-2{\frac{-17}{7}}=1$

$3x+\frac{34}{7}=1$

$21x=-27$

$x=\frac[-27}{21}$

$x=\frac{-9}{7}$

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3 years ago

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What is another way to write the expression using the Commutative.(1 5/8 + 4 3/4) + 3 2/8

Archy [21]

Commutative property of addition is
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(1 5/8+4 3/4)+3 2/8=1 5/8+(4 3/4+3 2/8)

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What is 3b plus 12 divided by 2 what is b ?

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Which expression is equivalent to (10 +7r−r2)+(−6r2−18+5r)

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A real estate agent has 1212 properties that she shows. She feels that there is a 50P% chance of selling any one property during

forsale [732]

Answer:

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

12 properties

This means that $n = 12$

She feels that there is a 50% chance of selling any one property during a week.

This means that $p = 0.5$

Compute the probability of selling no more than 6 properties in one week.

This is:

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002$

$P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029$

$P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161$

$P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537$

$P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208$

$P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934$

$P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256$

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127$

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

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3 years ago