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Mathematics

2 answers:

Tasya [4]3 years ago

6 0

Answer:

500

Step-by-step explanation:

800-300=500

You subtract 300 from 800 because she had 300 in the morning and 800 at night so you do 800-300.

crimeas [40]3 years ago

5 0

The first choice 500 because it went up by 500 dollars so it is positive

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Solve the system of equations.

guajiro [1.7K]

Answer:

<u>Option b. (x = 3, y = 20, z = -14)</u>

Step-by-step explanation:

Given:

2x + 2y + 3z = 4

5x + 3y + 5z = 5

3x + 4y + 6z = 5

Solve using Cramer’s rule

∴ $\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]$

∴A = $\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1$

Ax = $\left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3$

Ay = $\left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\$

Az = $\left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14$

∴ x = Ax/A = -3/-1 = 3

y = Ay/A = -20/-1 = 20

z = Az/A = 14/-1 = -14

<u>So, the answer is option b. (x = 3, y = 20, z = -14)</u>

4 0

4 years ago

How long does it take $450 to double at simple interest rate of 14%

umka2103 [35]

A = P(1+rt)
A (Future) = 450(2) = 900
P (Principal) = 450
R (Rate) = 14% = .14
T (Time) = Unknown

Create the equation:
900=450(1+.14t)

Distribute the 450:
900=450 + 450(.14t)

Multiply the 450(.14t)
900=450 + 63t

Subtract the 450:
450 = 63t

Divide by 63:
t=7.142857

Answer:
It will take 7.1 years.

7 0

4 years ago

Read 2 more answers

The grams of sugar per serving for three brands of cereal are 4 g, 10 g, and 14 g. The probability of choosing a cereal with 4 g

Sergio039 [100]

Answer:

$Expected\ Value = 9$