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3 years ago

PLEASE HELP ME 10 POINTS!!!!!

Mathematics

1 answer:

NemiM [27]3 years ago

6 0

The answer to your question would be 150 (c)

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Solve the following system of equations using the elimination method.

Margaret [11]

So for eliminating, you only solve for one variable first.

I solved for y, so I multiplied by -4 to eliminate the x.

Then I got y= -1

I then substituted that to one of the equations to get x.

3 0

3 years ago

If a group of independent variables are not significant individually but are significant as a group at a specified level of sign

ycow [4]

Answer:

D) collinearity

Step-by-step explanation:

Collinearity occurs when a few of the independent variables are related or match up. Collinearity increases the large proportion the variance of an estimated regression coefficient which leads to certain regression coefficient having wrong signs. It is used to explain the relationship between two variables.

3 0

3 years ago

If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will

Bas_tet [7]

Answer:

It will take about 35.439 years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

$A=P\,e^{r*t}$

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

$3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}$

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

$ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years$

7 0

3 years ago

The perimeters of similar triangles are in the same ratio as the corresponding sides

wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

k = d/a

Because the same factor applies to all sides, we also have ...

k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

d = a·k
e =b·k
f = c·k

The perimeter of ΔABC is ...

perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

perimeter(DEF) = d + e + f = a·k + b·k + c·k

perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0

3 years ago

Ten years ago, you purchased a $70,000, 5-year term life insurance policy. At that time you were 30 years old.

Darina [25.2K]

Answer:

a. 14,000

b. 140,000

Step-by-step explanation:

4 0

3 years ago