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2 years ago

Giovanna recibe actualmente un ingreso anual de $42 000. Normalmente, recibe

Mathematics

1 answer:

Ymorist [56]2 years ago

3 0

Answer:

$S=42000*\sum_{i=0}^{n}0.02^n$

Step-by-step explanation:

The salary per year is the combination of the $42000 per year (constant) plus the 2% rise per year. So the ecuation is:

Firt year $S=(42000 + 0.02*42000)$

Second year $S=(42000 + 0.02*42000)+0.02*(42000 + 0.2*42000)$

Generalizing:

$S=42000*\sum_{i=0}^{n}0.02^n$

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If a faucet leaks 7 oz of water per minute, how many gallons of water are wasted in a year? (128 oz/gallon)

blagie [28]

Well, how many minutes are there in a year? It would be way too easy to say "too many".

First, we calculate minutes in a day, which is 60 x 24 (minutes in an hour x number of hour)

This equals 1440. There are 365 days in a year, so we multiply 365 by 1440, which equals 525,600

The conversion of oz to gallon occurs, and bigger units mean division since their capacity makes the necessity for them significantly smaller; we divide 525600 by 128, and we get 4106.25.

4106.25 gallons of water are wasted in a year

4 0

2 years ago

Read 2 more answers

In a random sample of 90 students in first grade, the mean hours of sleep per night was 9.2 with a standard deviation of 0.37 in

ss7ja [257]

Answer:

Option C is right

Step-by-step explanation:

Given are two samples

I group has sample size 90, mean = 9.2 and std dev =0,.37

II group has sample size 70, mean = 7.3 and std dev = 0.58

we find that mean difference i.e. difference between mean hours of sleep between two groups

= 9.2-7.3 = 1.9

Std error for difference = 0.0620

Since sample size is sufficiently large we can use Z critical for 99%

i.e. 2.58

Margin of error =±2.58(0.062)

=0.16

Hence confidence interval 99% for difference in hours of sleep

= (1.9-0.16,1.9+0.16)

=(1.74, 2.06)

5 0

2 years ago

Owen is making lemonade from concentrate. The number of quarts of water he needs is 4 times the number of quarts of concentrate.

tiny-mole [99]

Answer:

The system of equation that models the situation is:

w = 4c

w + c = 100

And c = 20 quarts, 4c = 80 quarts and w = 80 quarts.

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Owen wants to make 100 quarts of lemonade

Number of quarts of water 4 times the number of quarts of concentrate

2. Which of the following systems of equations models this situation?

c = number of quarts of concentrate

w = number of quarts of water

Like the alternatives of systems of equations that model the situation were not given, let's write them by ourselves, this way:

w = 4c (Number of quarts of water 4 times the number of quarts of concentrate)

w + c = 100 (Owen wants to make 100 quarts of lemonade)

Now, let's solve for c and w, this way:

w = 100 - c

Substituting w in the first equation, we have:

100 - c = 4c

100 = 5c

c = 20 ⇒ 4c = 20 * 4 = 80

w = 4 * 20

w = 80

The system of equation that models the situation is:

w = 4c

w + c = 100

And c = 20 quarts, 4c = 80 quarts and w = 80 quarts.

4 0

2 years ago

Please consider the following data set. The initial row provides labels for two variables (i.e., X1 and X2). Each subsequent row

LekaFEV [45]

Answer:

There is no significant difference between the means.

Step-by-step explanation:

Given is the data set for X1 and x2 are we have to do a paired t test.

$H_0: \bar X_1 = \bar X_2\\H_a: \bar X_1 \neq \bar X_2$

(Two tailed test at 5% significance level)

Mean difference = 1.00

Std error for difference = 1.225

df=4

Test statistic = mean diff/se = 1.826

p value =0.142

Since p >0.05 our alpha we accept H0

There is no significant difference before and after averages at 5% sign. level.

3 0

2 years ago

Rahm used a payment plan to purchase wood for a home project. The wood he bought cost $500. The clerk at the store offered him t

faust18 [17]

Answer: 210

Step-by-step explanation:

55×12=660-500=160+50(down payment)=210

5 0

2 years ago