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2 years ago

5

an estate valued at $196,344 is to be divided between two sons so that the older son receives three times as much as the younger

son. find each son's share of the estate.

1 answer:

Aliun [14]2 years ago

6 0

Answer:

98172

Step-by-step explanation:

I really hope this helps

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The following data points represent the volume

svetoff [14.1K]

Answer:

The missing volume of gas is 6 liters

Step-by-step explanation:

The following data points represent the volume of gas in each race car driver's tank (in liters):

4,5, 13, ?

Let the missing value be x

Data : 4,5,13,x

$Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

$7 = \frac{4+5+13+x}{4}$

$7 \times 4=4+5+13+x$

28=22+x

28-22=x

6=x

Hence The missing volume of gas is 6 liters

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3 years ago

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

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3 years ago

Angle Relationships

KonstantinChe [14]

Answer:

D. 21 m

Step-by-step explanation:

I calculated it logically

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2 years ago

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n200080 [17]

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2 years ago

Please help me with this

Irina18 [472]

The sum of 8m and 3 is 8m + 3

Answer is B. 8m + 3

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3 years ago

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