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Ymorist [56]
3 years ago
11

Ryan starts saving money to buy a car right after his 16th birthday. He already has $120 from his birthday. After 3 months he ha

s $840 altogether. After 10 months he has $2520 altogether. Find the linear equation that models the data. Using your equation, find how much money Ryan will have altogether after saving for 2 years?
Mathematics
1 answer:
nlexa [21]3 years ago
5 0

Remark

The basic equation is y = mx + b

y = the total amount of money

m = The amount of money he save each month (it is a constant).

b = the y intercept which is his starting amount or 120 dollars.

x = the number of months (this is a variable).

After 3 months he has 840 dollars. That's y

840 = 3*m + 120    Subtract 120  from both sides

840 - 120 = 3m

720 = 3m

240 = m   So he saves 240 every month.

Now the equation becomes.

y = 240 * x + 120

Savings after 24 months

y = Total

m = 240 dollars/month

x = 24 months

b = 120

y = 24*240 + 120

y = 5760 + 120

y = 5580

He had 5580 dollars after saving for 2 years (or 24 months total) This assumes that when he started, he took his birthday money and added a 1 month payment to it



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rusak2 [61]

Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 60 months

            \sigma = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X \geq 74 months)

     P(X \geq 74) = P( \frac{ X - \mu}{\sigma} \geq \frac{74-60}{8} ) = P(Z \geq 1.75) = 1 - P(Z < 1.75)

                                                   = 1 - 0.95994 = 0.04

Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

7 0
3 years ago
Can someone help me out please
lbvjy [14]
16 is the answer jxhsjcjaks
5 0
2 years ago
4. – 2y = -5<br>10.x + 20y = -2​
kari74 [83]

Answer:

10 • (x - 2y + 3z)

? if thats the answer.

and   y = 5/2 = 2.500 for the - 2y = -5 one. if they are both combined please comment under mine.

4 0
3 years ago
Use the diagram shown to answer the questions.
romanna [79]

Answer:

13

Step-by-step explanation:

First drop the line.

How many units is it from Point r to the x axis?

12.

How many units is it from Point r to the y axis?

5.

Now we can use the Pythagorean Theorem.

12^2+5^2=c^2 \\ \\ 144+25=c^2 \\ \\ c^2=169 \\ \\ c=13

4 0
3 years ago
Read 2 more answers
Below is the five-number summary for 144 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of
bearhunter [10]

Answer:

The IQR is given by:

IQR = Q_3 -Q_1 = 28-18= 10

If we want to find any possible outliers we can use the following formulas for the limits:

Lower= Q_1 - 1.5 IQR

Upper= Q_3 + 1.5 IQR

And if we find the lower limt we got:

Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3

Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43

So then the left boundary for this case would be 3 days

Step-by-step explanation:

For this case we have the following 5 number summary from the data of 144 values:

Minimum: 9 days

Q1: 18 days

Median: 21 days

Q3: 28 days

Maximum: 56 days

The IQR is given by:

IQR = Q_3 -Q_1 = 28-18= 10

If we want to find any possible outliers we can use the following formulas for the limits:

Lower= Q_1 - 1.5 IQR

Upper= Q_3 + 1.5 IQR

And if we find the lower limt we got:

Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3

Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43

So then the left boundary for this case would be 3 days

6 0
3 years ago
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