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Katyanochek1 [597]
3 years ago
5

A sum of money invested at 8% per annum for simple interests amounts to $12122 in 2 years.What ill it amounts to in 2 years 8 mo

nths at 9% rate of interest?
Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0

Answer:

  $12,958

Step-by-step explanation:

The total amount of the account, principal plus interest, is given by ...

  A = P(1 +rt)

The given information tells us ...

  12,122 = P(1 + .08×2) = 1.16P

Then the principal amount is ...

  12,122/1.16 = 10,450

__

When that same amount is invested using a different rate and time period, it becomes ...

  A = 10,450(1 + .09×(2 2/3)) = 10,450×1.24 = 12,958

It will amount to $12,958 in 2 years 8 months at 9%.

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Radda [10]

The measure of angle ∠EGF is 65°. And the measure of the angle ∠CGE is 115°.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle GEF is shown with its exterior angles.

Line GF extends through point B.

Line FE extends through point A.

Line EG extends through point C.

Angles ∠FEG and ∠EGF are congruent.

∠FEG = ∠EGF = x

Sides EF and GF are congruent.

Angle ∠EFG is 50° degrees.

∠EFG + ∠FGE + ∠GEF = 180°

                  50° + x + x = 180°

                               2x = 130°

                                 x = 65°

∠FEG = ∠EGF = 65°

Then angle ∠CGF will be

∠CGF + ∠FGE = 180°

   ∠CGF + 65° = 180°

             ∠CGF = 115°

More about the triangle link is given below.

brainly.com/question/25813512

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2 years ago
Which of these is a member of the sample space when you flip a coin twice and then roll a die?
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Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.
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So, if we take 68.73 to be the 100%, what is 12 in percentage off of it?

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3 years ago
F(x)=x2 what is g(x)?
Oksi-84 [34.3K]

g(x) = (1/4)x^2 . correct option C) .

<u>Step-by-step explanation:</u>

Here we have , f(x)=x^2  and we need to find g(x) from the graph . Let's find out:

We have ,  f(x)=x^2   . From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !

A . g(x) = (1/4x)^2

Putting (2,1) in equation g(x) = (x/4)^2 , we get :

⇒ g(2)= (\frac{2}{4} )^2

⇒ 1\neq \frac{1}{4}

Hence , wrong equation !

B . g(x) = 4x^2

Putting (2,1) in equation g(x) = 4x^2 , we get :

⇒ g(2)=4(2)^2

⇒ 1\neq 64

Hence , wrong equation !

C . g(x) = (1/4)x^2

Putting (2,1) in equation g(x) = (1/4)x^2 , we get :

⇒ g(2)= (\frac{1}{4} )2^2

⇒ 1= 1

Hence , right equation !

D . g(x) = (1/2)x^2

Putting (2,1) in equation g(x) = (1/2)x^2 , we get :

⇒ g(2)= (\frac{1}{2} )2^2

⇒ 1\neq 2

Hence , wrong equation !

Therefore , g(x) = (1/4)x^2 . correct option C) .

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3 years ago
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting two queens and two kings.
Bingel [31]

<u>Given</u>:

If you are dealt 4 cards from a shuffled deck of 52 cards.

We need to determine the probability of getting two queens and two kings.

<u>Probability of getting two queens and two kings:</u>

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The number of ways of getting two kings is 4C_2

Total number of cases is 52C_4

The probability of getting two queens and two kings is given by

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Simplifying, we get;

probability=\frac{6 (6)}{270725}

probability=\frac{36}{270725}

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Thus, the probability of getting two queens and two kings is 0.000133

7 0
3 years ago
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