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marta [7]
3 years ago
5

Carrie has $500 in her bank account. She plans to add $245 a week to her account. Jose has $710 in his bank account. He plans to

add $230 a week. How many weeks will it take untill carrie & jose have an equal ammount of money saved up is neither of them spent any of their savings?
Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

14 weeks

Step-by-step explanation:

14 times 245= 3430+ 500=3930 (carrie)

14 times 230= 3220+ 710= 3930 (jose)

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Henry drives at a speed of 80 miles per hour. <br> How long will it take to drive 400 miles?
mart [117]

Answer:

5hrs

Step-by-step explanation:

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Wayne has a recipe on a 3 inch by 5 inch index card that he want to enlarge to 15 inches long how wide will the enlargement be
son4ous [18]
It will be 3x larger so 9 inches
3 0
3 years ago
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The probability that a randomly selected 2 2​-year-old male garter snake garter snake will live to be 3 3 years old is 0.98861 0
Mnenie [13.5K]

Answer:

a. Probability = 0.97735

b. Probability = 0.92294

c. P(At\ Least\ One) = 1

No, it is not unusual if at least 1 lives up to 3.

Step-by-step explanation:

Given

Represent the probability that a 2 year old snake will live to 3 with P(Live);

P(Live) = 0.98861

Solving (a): Probability that two selected will live to 3 years.

Both snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)\ and\ P(Live)

Probability = 0.98861 * 0.98861

Probability = 0.9773497321

Probability = 0.97735 <em>--- Approximated</em>

Solving (b): Probability that seven selected will live to 3 years.

All 7 snakes have a chance of 0.98861 to live up to 3 years.

So, the required probability is:

Probability = P(Live)^n

Where n = 7

Probability = 0.98861^7

Probability = 0.92294324145

Probability = 0.92294 <em>--- Approximated</em>

Solving (c): Probability that at least one of seven selected will not live to 3 years.

In probabilities, the following relationship exist:

P(At\ Least\ One) = 1 - P(None).

So, first we need to calculate the probability that none of the 7 lived up to 3.

If the probability that one lived up to 3 years is 0.98861, then the probability than one do not live up to 3 years is 1 - 0.98861

This gives:

P(Not\ Live) = 0.01139

The probability that none of the 7 lives up to 3 is:

P(None) = P(Not\ Live)^7

P(None) = 0.01139^7

Substitute this value for P(None) in

P(At\ Least\ One) = 1 - P(None).

P(At\ Least\ One) = 1 - 0.01139^7

P(At\ Least\ One) = 0.99999999999997513055642436060443621

P(At\ Least\ One) = 1 ---- Approximated

No, it is not unusual if at least 1 lives up to 3.

This is so because the above results, which is 1 shows that it is very likely for at least one of the seven to live up to 3 years

7 0
3 years ago
A bottle full of liquid has a total mass of 1.27kg.
Vinvika [58]

Answer:

Step-by-step explanation:

Let “x” be the weight of the bottle and “y” is weight of honey.

We know the total weight of bottle full of honey is 1000 g.

So Equation 1 is x + y = 1000 g

And with half of the honey, we know the total weight is 600g.

Equation 2: x + (y/2) = 600 g

y/2=600 - x

y= 2 (600 - x)

y= 1200 - 2x

We can replace “y” with 1200 - 2x in Equation 1:

x + 1200 - 2x = 1000

x = 200 g

Weight of the bottle is 200 g.

6 0
3 years ago
Evaluate :<br> A. <img src="https://tex.z-dn.net/?f=x%5E%7Bx%5E3%7D%3D3" id="TexFormula1" title="x^{x^3}=3" alt="x^{x^3}=3" alig
sdas [7]

Answer:

<h3>A. </h3>
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<h3>B.</h3>
  • 4ˣ + 6ˣ = 9ˣ
  • 2²ˣ + 2ˣ3ˣ = 3²ˣ

<u>Divide both sides by 2²ˣ</u>

  • 1 + (3/2)ˣ = (3/2)²ˣ

<u>Substitute (3/2)ˣ = t</u>

  • t² - t - 1 = 0

<u>Solve for t:</u>

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<u>Positive root is considered as (3/2)ˣ can't be negative.</u>

  • (3/2)ˣ = (1 + √5)/2
  • x = log [(1 + √5)/2] / log (3/2)
  • x = 1.18681439028

7 0
3 years ago
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