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noname [10]
3 years ago
7

The dad has a son and a daughter. The daughter is 19 years younger than the son. The son is 13 years younger than the dad (Don't

ask, just keep reading.) The daughter is 21 years old now. How old is the dad?
Dad - 13 years older than son
Son - 19 years older than daughter
Daughter - 21 years old
Mathematics
2 answers:
Ivenika [448]3 years ago
6 0

Answer:

53

Step-by-step explanation:

Elis [28]3 years ago
5 0

Answer:

The Dad is 53

Step-by-step explanation:

21 + 19 = 40 ( Brothers age )

40 + 13 = 53 (Dads age )  

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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

P(40) = 500e^{0.0223*40} = 1220

The population in 40 years will be 1220.

7 0
4 years ago
7th grade math i mark as brainliest​
sweet [91]
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6 0
2 years ago
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faltersainse [42]

Answer:

B

Step-by-step explanation:

 

6 0
3 years ago
5<br> 1<br> The measure of Z1 =<br> O 55<br> O62.5<br> 110<br> 5
Akimi4 [234]

Answer: 55

Step-by-step explanation:

Congruent angles intercept congruent chords, so since the circumference of a circle is 360 degrees, the arc angle 1 is inscribed in measures 110 degrees.

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5 0
2 years ago
Consider the equation: x^2+10x+22=13<br> Need help asap!!!! <br> this is due in a hour!
klio [65]

Answer:

(x + 5)^2 = (5 - 3)^2

Step-by-step explanation:

Given the equation;

x^2 + 10x + 22 = 13

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x^2 + 10x = 13 - 22

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Adding half of 10 to both sides and completing the square as usual, we have;

(x + 5)^2 = 5^2 + (-9)

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7 0
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