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iren2701 [21]
3 years ago
11

A total of $12,000 is invested at two different rates: $5,000 of it is invested at 6%, and the rest is invested at 8%. How much

total interest is earned at the end of one year?
Mathematics
1 answer:
lesantik [10]3 years ago
7 0
5000*6/100=300
7000*8/100=560
total=860

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The total cost for g grams of pepperoni if each gram costs $5.65
11Alexandr11 [23.1K]

We are given

g is weight of pepperoni in grams

C is the total cost

if each gram costs $5.65

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so, g gram cost is

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we can term it as C

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so, total cost is

=5.65\times g

or we can write as

C=5.65\times g................Answer


7 0
3 years ago
Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
4 years ago
State the solution of the system of linear equation using its grap<br> 6.<br> SOLUTION: (<br> -2
IRINA_888 [86]

Answer:

Solution is (2, -1)

Step-by-step explanation:

The lines cross  at the point where x = 2 and y = -1.

3 0
3 years ago
HELP ASAP!!!!<br> Does someone mind walking me through this. I really need help.
Tamiku [17]
The minimum of this graph is the focus of the parabola. I'm not sure with the maximum though but I think it doesn't have a maximum because the y value of the parabola will extend infinitely upward.
7 0
4 years ago
Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the
Papessa [141]

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle ABCD as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}

Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}

4 0
3 years ago
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