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2 years ago

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Three classes at a junior high school raised money to buy new computers. Ms. Moore’s class raised $249.00. Ms. Aguilar raised $3

96.62 more than Ms. Moore’s class. Mr. Barry raised $430.43 less than Ms. Aguilar’s class. What is the total amount of money raised by all three classes?

1 answer:

Olin [163]2 years ago

3 0

Answer:

The final amount is $1109.81

Step-by-step explanation:

In order to find the total amount, start with the know amount, which is Ms. Moore's class. Her class raised $249. Now we can use that to find the amount from Ms. Aguilar's class.

$249 + $396.62 = $645.62

Now we can use the amount from Ms. Aguilar's class to find the amount from Ms. Barry's class

$645.62 - $430.43 = $215.19

Now we can add the three amounts together to find the total amount.

$249 + $645.62 + $215.19 = $1109.81

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Dale has 2000 dollars to invest. He has a goal to have 5800 in this invest ment in 9 years. At what annual rate compounded conti

elena-14-01-66 [18.8K]

Answer:

Dale will reach his goal at an annual rate of 11.83%.

Step-by-step explanation:

The formula for continuos compounding is given by:

$A(t) = Pe^{rt}$

In which A is the amount after t years, P is the principal(initial amount) and r is the annual rate.

Dale has 2000 dollars to invest.

This means that $P = 2000$

He has a goal to have 5800 in this invest ment in 9 years.

So $A(9) = 5800$

At what annual rate compounded continuously will Dale reach his goal?

This is r.

$A(t) = Pe^{rt}$

$5800 = 2000e^{9r}$

$e^{9r} = \frac{58}{20}$

$e^{9r} = 2.9$

$\ln{e^{9r}} = \ln{2.9}$

$9r = \ln{2.9}$

$r = \frac{\ln{2.9}}{9}$

$r = 0.1183$

Dale will reach his goal at an annual rate of 11.83%.

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3 years ago

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Fred lives in Rhode Island and pays 7% in sales tax. If he just

musickatia [10]

I think its letter C 58.85

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2 years ago

Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many quarts did they make if then charge $2:00 per quart

notka56 [123]

Answer:

Number of quarts=16

Money earned=$32

Step-by-step explanation:

Given

4 Gallons of lemonade is prepared
They charge $2 for a quart

1 Gallon= 4 Quarts

Therefore Number of quarts

$= \text{number of gallons} \times 4\\= 4 \times 4\\=16$

Therefore Number of quarts of lemonade prepared by them = 16 quarts

As they charge $2 for each quart

⇒

Total money made if they sell it all

$=\text{number of quarts} \times 2\\= 16 \times 2\\=32$

Therefore, if they are to sell all the lemonade that they prepared

They would earn=$32

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3 years ago

Find the measure of A <br><br> A:46<br> B:90<br> C:134<br> D:88

grigory [225]

Answer:

Option d = 88

Step-by-step explanation:

Angle c = 46 degrees

46 + 46 = 92

180 - 92 = 88

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2 years ago

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The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past

galina1969 [7]

Complete Question

The complete question is shown on the uploaded image

Answer:

1 ) The correct option B

2) The correct option is C

3) The correct option is C

4) The correct option is C

Step-by-step explanation:

From the question we are told that

The proportion that own a cell phone is $p = 0.90$

The sample size is n = 15

Generally the appropriate distribution for X is mathematically represented as

$X \ is \ B( n , p )$

So

$X \ is \ B( 15 , 0.90 )$

Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as

$\mu = n * p$

$\mu = 15 * 0.90$

$\mu = 13.5$

Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

$\sigma = \sqrt{ n * p * q }$

Where q is mathematically evaluated as

$q = 1- p$

$q = 1- 0.90$

$q = 0.10$

$\sigma = \sqrt{ 15 * 0.90 * 0.10 }$

$\sigma = 1.16$

Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as

$P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}$

$P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}$

From the combination calculator is $\left 15} \atop {}} \right.C_{15} = 1$

$P(X = 15) = 1 * 0.205891 * 1$

$P(X = 15) = 0.206$

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