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4 years ago

Q8 Q10.) Solve the given system of equations.

Mathematics

2 answers:

Yuliya22 [10]4 years ago

5 0

Answer is A!

x + 5 + 3(1) = 9
x + 5 + 3 = 9
x + 8 = 9
x = 9 - 8
x = 1

Final answers: x = 1, y = 5, z = 1 or (1, 5, 1)

Scorpion4ik [409]4 years ago

3 0

See the attached picture:

only one solution (1,5,1)

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Need help ASAP 20 POINTS!

rodikova [14]

Answer:

Account B

Value=$21,589.66

Step-by-step explanation:

#We determine the compounded amount after 10 years for each account using the formula:

$A=P(1+i_m)^n, i_m=(1+i/m)^m-1, m-compoundings \ per \ year$

#For account A:

Given principal is $16,000, i=3% and n=10, m=4:

$(1+i_m)=(1+i/m)^m\\\\=(1+0.03/4)^4=1.03034\\\\\therefore A=16000(1.03034)^{10}\\\\=21573.75$

#For account B:

Given principal is $16,000, i=3% and n=10, m=12:

$(1+i_m)=(1+i/m)^m\\\\=(1+0.03/12)^{12}=1.03042\\\\\therefore A=16000(1.03042)^{10}\\\\\\\\=21589.66$

We compare the amounts after 10 years and get the difference:

$B>A\\\\B-A=21589.66-21573\\\\=\$15.91$

Hence, account B has the most value after 10 years and has a value of $21,589.66

4 0

4 years ago

Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday morning delivery consists of 34 bags weighing 122 pounds. How

Sergio [31]

<span>24 3-pound bags(72 pounds) and 10 5-pound bags(50 pounds). 72+50 = 122 pounds, 24+10 bags = 34 bags</span>

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3 years ago

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Brian is x years old . Peter is 4 years older than Brian . Amy is 2 years younger than Brian . The total of their ages is 26 yea

Nina [5.8K]

Brian is 8 years old

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4 years ago

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Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on

Iteru [2.4K]

Answer:

$P(X_i=2) =\dfrac{1}{6}$

$P(X_i=-1) =\dfrac{5}{6}$

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

$_nC_r = \frac{n!}{r!(n-r)!}$

Here, n = 4 and r = 2.

So, total number of ways = $_4C_2 = \frac{4!}{2!\times 2!} = 6$

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. $_2C_2 = \frac{2!}{2! 0! } = 1$

Now, let us have a look at the formula of probability of an event E:

$P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}$

So, the probability of winning.

$P(X_i=2) =\dfrac{1}{6}$

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

$P(X_i=-1) =\dfrac{5}{6}$

Please refer to the attached image for answer table.

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3 years ago

The volume of a cylinder is approximately 72ft3. Which is the best approximation of the volume of a cone with the same base and

Aleks04 [339]

Answer:

24 ft^3

Step-by-step explanation:

Cylinder:

Volume = (pi)r^2h

Cone:

Volume = (1/3)(pi)r^2h

When using r and h for both a cylinder and a cone, the only difference is the factor of 1/3 for the volume of the cone.

A cone with the same radius and height as a cylinder has 1/3 the volume of the cylinder.

volume of cylinder = 72 ft^3

volume of cone = (1/3) * 72 ft^3 = 24 ft^3

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4 years ago

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