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2 years ago

Miguel is 46 years old .He is 4 years older than thrice his son's age. Find the age of his son.

Mathematics

2 answers:

Vika [28.1K]2 years ago

4 0

Answer:

son is 14

Step-by-step explanation:

s = son's age

46 = 4 + 3s

42 = 3s

s = 14

EleoNora [17]2 years ago

3 0

Answer:

Step-by-step explanation:

46-4=42

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2 years ago

The Venn diagram shows the results of two events resulting from rolling a number cube.

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$P(A|B)=\frac{2}{3}$

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Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

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S = {1, 2, 3, 4, 5, 6}

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In the region that represents event B there are 3 possible outcomes {1, 2, 6}

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Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

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2 years ago

Bentley is going to invest $98,000 and leave it in an account for 7 years. Assuming

den301095 [7]

Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

The principal investment = $ 98,000

The Time period for investment = 7 years

Let The rate of interest compounded daily = R %

The Amount at the end up = $ 114,000

<u>From compounded method</u>

Amount = Principal × $(1+\dfrac{rate}{365\times 100})^{365\times Time}$

Or, $ 114,000 = $ 98,000 × $(1+\dfrac{R}{365\times 100})^{365\times 7}$

Or, $\frac{114000}{98000}$ = $(1+\dfrac{R}{36500})^{2555}$

or, 1.16326 = $(1+\dfrac{R}{36500})^{2555}$

or, $(1.16326)^{\frac{1}{2555}}$ = 1 + $\frac{R}{36500}$

1.00005919 - 1 = $\frac{R}{36500}$

or, 0.00005919 = $\frac{R}{36500}$

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3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t

Hoochie [10]

Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75

Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75

Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.

So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped

5 0

3 years ago

Miguel is 46 years old .He is 4 years older than thrice his son's age. Find the age of his son.​

Miguel is 46 years old .He is 4 years older than thrice his son's age. Find the age of his son.