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Svetlanka [38]
3 years ago
12

A total of 82,000 is being invested in a local bank. The amount invested in stocks is one third of the amount invested in bonds.

How much is invested in bonds?
(A) 11,000

(B) 14,000

(C) 27,000

(D) 41,500

(E) 61,500
Mathematics
1 answer:
Tomtit [17]3 years ago
4 0
The answer is C.

explanation: you turn 1/3 into a decimal and that will be 0.333. Then you multiply 0.333 with 82,000 and that gets you C


have a great day :) hope this helped.
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What is the probability of drawing a black ace followed by a heart out
Verdich [7]

Correct option C) 0.98%

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

We know that  , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out  of a deck when the cards aren't replaced . Let's find out:

Firstly , a black ace is drawn , so probability :

⇒ P(Black) = \frac{2}{52}

Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):

⇒ P(Heart) = \frac{13}{51}

So , Probability of occurring both events is :

⇒ P(Black)(P(Heart))

⇒ \frac{2}{52} (\frac{13}{51} )

⇒ 0.0098

Percentage = 0.0098(100) = 0.98%

Therefore , Correct option C) 0.98%

7 0
3 years ago
What is the Median for the following set of numbers? ​21 23 76 47 55 135 45 30 17
Leno4ka [110]

Answer:

Median = 45

Step-by-step explanation:

We are given the following data set:

21, 23, 76, 47, 55, 135, 45, 30, 17

Median is the number that divides the data into two equal parts.

Formula:

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data:

17, 21, 23, 30, 45, 47, 55, 76, 135

Sample size = 9, which is odd

Median =

\dfrac{9+1}{2}^{th}\text{ term} = \dfrac{10}{2}^{th}\text{ term} = 5^{th}\text{ term}\\\\= 45

The median of given set of numbers is 45.

7 0
3 years ago
SOLVE THIS EXTREMELY IMPORTANT EQUATION
finlep [7]

Answer:

<em>Option B; EF = ( About ) 4.47 units, Perimeter of Δ EFG = ( About ) 12.94 units</em>

Step-by-step explanation:

If we were to consider the height of this triangle EFG, it would be 4 units of length, supposedly splitting base GF into two ≅ parts, each 2 units of length. First let us name the point drawn to base GF ⇒ point H, so that the height of Δ EFG ⇒ EH. Now as EH splits GF into two ≅ parts, by Converse to Coincidence Theorem, Δ EFG ⇒ Isosceles Δ;

EH and FH are legs of a right triangle EFH, so that Pythagorean Theorem can be applied to solve for the length of EF and EG, knowing that as Δ EFG ⇒ Isosceles Δ, EF ≅ EG;

( EH )^2 + ( FH )^2 = ( EF )^2,

( 4 )^2 + ( 2 )^2 = ( EF )^2 ⇒ take square of 4 & 2,

16 + 4 = ( EF )^2 ⇒ combine like terms,

( EF )^2 = 20 ⇒ take square root on either side to solve for EF,

EF = √ 20 =<em> ( About ) 4.47 units</em> = EG,

Perimeter of Δ EFG = EF + GF + EG = 4.47 + 4 + 4.47 = <em>( About ) 12.94 units,</em>

<em>Solution; Option B</em>

6 0
3 years ago
Which equation has infinitely many solutions?
Snezhnost [94]

Answer:

Bbbbbbbbbbbbbbbbbbbbbb

4 0
3 years ago
Nina is bouncing on a trampoline her fourth bounce is 6ft high each bounce afterwards is two thirds as high as the bounce before
V125BC [204]

Answer:

8/3ft

Step-by-step explanation:

To find how high she would bounce, we need to first understand that her height of each jump would be multiplied by 2/3 given that each bounce afterwards is two thirds as high as the bounce before.

We can then set the equation:

6 x 2/3 x 2/3

=6 x (2/3)^2

=8/3

Therefore the answer is 8/3 ft.

Hope it helps!

8 0
3 years ago
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