Last year, Christine opened an investment account with $5600. At the end of the year, the amount in the account had decreased by 26.5%. How much is this
decrease in dollars? How much money was in her account at the end of last year?
Decrease in amount:
$
Year-end amount:

Answer:

1

Step-by-step explanation:

Answer:

2.5 sq. inches

Step-by-step explanation:

Explanation is given in the pic attached.

Area of triangle= 1/2* base* height

Hope this helps!

The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches

From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)

This variation is represented as:

[tex]\mathbf{A\ \alpha\ B \times H}[/tex]

So, we have:

[tex]\mathbf{A\ \alpha\ BH}[/tex]

Express as an equation

[tex]\mathbf{A\ =k BH}[/tex]

When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]

[tex]\mathbf{1.5\ =k \times 3}[/tex]

Divide both sides by 3

[tex]\mathbf{\frac 12 =k }[/tex]

Rewrite as:

[tex]\mathbf{k = \frac 12}[/tex]

When the base is 2 inches and the height is 2.5 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]

[tex]\mathbf{A = 2.5}[/tex]

Hence, the area of the flag is 2.5 square inches

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Answer:

108 ÷ 9 = 12

Step-by-step explanation:

Answer:

0.083333333333333

Step-by-step explanation:

Check the picture below.

Answer:

v=12

Step-by-step explanation:

  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -4*v-5-(-53)=0

Pull out like factors :

  -4v + 48  =   -4 • (v - 12)

 Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 Solve  :    v-12 = 0  

Add  12  to both sides of the equation :  

                     v = 12

To check yourself:

-4(12)-5 = -53

Answer: v = 12

Step-by-step explanation:

-4v - 5 = -53

add 5 to both sides

-4v = -48

divide both sides by -4

v=12

Answer:

  1/(xy)³

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

_____

  [tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]

Answer:

Step-by-step explanation:

52.5 mi(8 km/5mi) = 84 km

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:   7

×

10

−

2

Step-by-step explanation:

Answer:

6/8

Step-by-step explanation:

you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8

reduce if you can

Answer:

2 pounds

Step-by-step explanation:

Because 8 ounces = 0.5 pounds

1.5+0.5=2

Answer:

D ÷3/5 that's the answer i think I worked it out myself

Answer:

bradley is 50 and madison is 23

Step-by-step explanation:

m + 27 = b

(b - 7) + (m - 7) = 59

[(m + 27) - 7] + (m - 7) = 59

m + 20 + m -7 = 59

2m + 13 = 59

2m = 46

m = 23, b = 23 + 27 = 50

Answer: 15 inches

Step-by-step explanation:

15 × 1 ÷ 12 = 1.25 ft

1.25 ft = 1.25 × 12 = 15 in

Answer:

27/20

Step-by-step explanation:

¾ + ³/5= 27/20. .......................

Answer: I'll give you formula

Step-by-step explanation: circumference = 2 x π x radius

radius = diameter÷2      area = π × radius²

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

Answer:

you can buy 6 pounds of apples

Step-by-step explanation:

Answer:

250.

Step-by-step explanation:

3 + 5 = 8. => (3/8) * 400 = 3 * 50 = 150. => (5/8) * 400 = 5 * 50 = 250.

Answer:

19 x 2 38 is ur answer to the problem

Answer:

1. False 2. 7.11 > -7.1 3. -3 < -1 and -3 <= -1 <= is less than or equal to. 4. m + 7 => 8.2 5. {3, 4} Hope this helps even though I am late!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...

  0.15q + 0.05(390 -q) = 0.08(390)

  0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify

  q = 117 . . . . . . . . . . . . . . . . . . multiply by 10

  390-q = 273

The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).

__

Additional comment

You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.

Answer: y=3(4)x

Explanation: I took the test

The function represented in the graph is y = 3 (4ˣ).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

From the given graph, consider any point.

Consider the point (0, 3).

That is, when x = 0, the value of y is 3.

We have the parent function as,

y = 4ˣ

Then the function represented will be of the form,

y = m (4ˣ)

Substitute the point (0, 3).

3 = m (4⁰)

3 = m × 1   [since any number raised to 0 is 1]

m = 3

So the function is y = 3 (4ˣ).

Hence the function is y = 3 (4ˣ).

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Your question is incomplete. The complete question is as given below in the image.

Answer:

  a) yes, 2, 1/2

  b) b = 2t; t = 1/2b

Step-by-step explanation:

a) The number of batteries is twice the number of toys. Using the variables of part B, this relation is ...

  b = 2t

This is of the form required for a proportional relation: y = kx, with a value of k=2.

__

If we divide the above equation by 2 on both sides, we get ...

 1/2b = t

This is also a proportional relation, with a constant of proportionality of 1/2.

Toys and batteries are in a proportional relationship. The constants of proportionality are 2 or 1/2.

__

b) As we saw above, the equations can be ...

 b = 2t

  t = 1/2b

Answer:

Copies cost for the first case = $ 12

Copies cost for the second case =$16

Number of Copies = 4

Step-by-step explanation:

Let the number of copies = N

. for the first case: total cost (T1) = 38 + 3N

. for the second case: total cost (T2) = 34 + 4N

Determine the ‘N’ when the cost is equivalent

So, 38 + 3N = 34 + 4N

38 – 34 = 4N – 3N

N = 4

Therefore, number of copies = 4

Copies cost for the first case = 3 × 4 = $12

Copies cost for the second case = 4 × 4 = $16

#1.

Expression

[tex]\sf\longmapsto 38+3x[/tex]

#2

Expression

[tex]\sf\longmapsto 34+4x[/tex]

Now

[tex]\sf\longmapsto 4x+34=3x+38[/tex]

[tex]\sf\longmapsto x=4[/tex]

There were 4copies

Answer:

6 Ways

Step-by-step explanation:

Given: 3 students, Madeline, Austin, and Aubree

To Find: How many different ways can they stand in line?

Solution: 3 students, can line up in 3 so 6 ways.