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3 years ago

6t+4<-2 solve the inequality

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

Isolate the variable by dividing each side by the factor that don’t contain the variable.
Answer: t < -1

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Susan has purchased a whole life policy with a death benefit of $200,000. Assuming that she dies in 10 years and the average inf

Anika [276]

Answer:

Answer is: $148,809.52

Step-by-step explanation:

Susan has purchased a whole life policy with a death benefit of $200,000.

Assuming that she dies in 10 years.

Rate = 3% or 0.03

Future value after 10 years = $(1+r)^{n}$ = $(1.03)^{10}$ = 1.344

Purchasing power of proceeds = $\frac{200000}{1.344}$ = $148,809.52

5 0

3 years ago

Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

8 0

2 years ago

Change to standard form 3.42x10^-5

Cerrena [4.2K]

0.00000342 is the answer.

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3 years ago

How do I find the equation for the line?

GrogVix [38]

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

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2 years ago

A cylindrical water container has a diameter of 4cm and a height of 36mm. what is the total surface area of the water container

Mumz [18]

Answer:

477.52cm^2

Step-by-step explanation:

Brainliest or I will report you

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2 years ago