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KengaRu [80]
3 years ago
5

John has $220 in his account and adds $25 to it each month Cheryl has $100 in her account and adds $35 each to her account. How

many dollars will they have in their accounts when the amounts are the same
Mathematics
2 answers:
77julia77 [94]3 years ago
5 0

Answer:

12 months

Step-by-step explanation:

220 + 25m = 100 + 35m

-100 on each side  of the equal sign

120 + 25m = 35m

-25m from each side  of the equal sign

120 = 10m

/10 by each side of the equal sign

12 = m

It would take 12 months for them to reach the same amount.

I hope this helps! Please mark as brainliest! Good luck!

sammy [17]3 years ago
4 0

Answer: In 12 months they will have the same amount, which will be $520.

Step-by-step explanation:

220 + 25m = 100 + 35m

m = month

Subtract 100 from each side

120 + 25m = 35m

Subtract 25m from each side

120 = 10m

Divide each side by 10

12 = m

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MATH 30 POINTS WILL GIVE BRAINLIEST<br><br> help please
natulia [17]

The fundamental behavior that's important here is that, as t gets arbitrarily large, a^t becomes smaller (decays) if |a| and larger (grows) if |a|>1.

100\left(1-\dfrac12\right)^t=100\left(\dfrac12\right)^t\implies\dfrac12

0.1(1.25)^t\implies1.25>1\implies\text{growth}

426(0.98)^t\implies0.98

2050\left(\dfrac12\right)^t\implies\text{decay}

\left((1-0.03)^{1/2}\right)^{2t}=0.97^t\implies0.97

3 0
3 years ago
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centime
Anton [14]

Answer:

33.94 cms of ribbon

Step-by-step explanation:

Because you need two diagonals to form the x, therefore the amount  of ribbon needed is the sum of the distance of both diagonals.

When crossing the diagonal, a rectangular angle is formed, where the diagonal would be the hypotenuse, we know that the distance of the hypotenuse can be calculated by means of the legs, which we know its value (12):

d ^ 2 = a ^ 2 + b ^ 2

a = b = 12

d ^ 2 = 12 ^ 2 + 12 ^ 2

d ^ 2 = 288

d = 288 ^ (1/2)

d = 16.97

16.97 cm is what it measures, a diagonal, therefore tape is needed:

16.97 * 2 = 33.94

A total of 33.94 cms of ribbon is needed

Answer from jmonterrozar

3 0
3 years ago
The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day
Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of  length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(between 236 and 281 days)

P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%

b) a) P(last between 236 and 296)

P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least 1-\dfrac{1}{k^2}  data lies within k standard deviation of mean.

For k = 2

1-\dfrac{1}{(2)^2} = 75\%

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0
3 years ago
After a 16% increase the price of a pair of running shoes was $40.60. What was the old price of the shoes
Delvig [45]

Answer:

34.10

Step-by-step explanation:

Note:

16% = .16

Important:

What was the <u>old price</u> of the shoes

Solution:

40.60 x .16 = 6.946 [Round:6.50]

40.60-6.50= 34.10

Hence, the old price of the shoes is $34.10

5 0
2 years ago
Help please!
Alina [70]

Step-by-step explanation:

Given

f(x) = 8x - 9

Then

For a.

f(3y - 1 ) = 8(3y - 1 ) - 9

= 24y - 8 - 9

= 24y - 17

Now for b.

f(x) = - 23

or, 8x - 9 = - 23

8x = - 23 + 9

8x = - 14

x = - 14 / 8

x = - 7 / 4

Hope it will help :)

7 0
3 years ago
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