Ms. Wilson invested $30,000 in two accounts, one yielding 8% interest and the
other yielding 9%. If she received a total of $2,590 in interest at the end of the
year, how much did she invest in each account?
The amount invested at 8% was $
The amount invested at 9% was $

   Translation is defined as an interpretation into another language or context. The Spanish word "bueno," which translates to "good," serves as an illustration. A translation can involve explaining to a parent the significance of their teen's expression.

The translation equation or formula is written as g(x) = f(x+k) + C.

Example

(x -3, y - 2)

x - 3 y - 2 ;

x-3 y-2

x-3y - 2

x² -  x - 6 =0

-x + 3 > 2x + 1

line(1, 2),(3 ,1)

f(x) = x³

prove tan²(x) - sin ²(x) = tan²(x) sin²(x)

d /dx(3x + 9/2 -x)

(sin²(0))

sin (120)

lim(x -> 0 (xln(x))

= 0 3/2n.

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The domain and the range of the function g(x) = |x + 4| are oo < x < oo and y >= 4

The domain of a function are the set of output values, the function can take

The range of a function are the set  of output values, the function can take

The definition of the function is given as

g(x) = |x + 4|

From the definition of the above function, we can see that the function is an absolute value function

This means that the function has a domain of all set of real values

This domain is represented as

Domain: -oo < x < oo

For an absolute function represented as

f(x) = |x + k|

The range is

y >= k

This means that the range of g(x) = |x + 4} is y >= 4

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Jaleel and Angela purchased a bag of sugar and used it evenly so the amount of flour that they each need, based on their brownie recipes are:

Jaleel and Angela purchased a 20-cup bag of sugar and divided it evenly which means that they each get 10 cups of sugar.

The number of cups of sugar needed per cup of flour is:

= Change in sugar / Change in flour

= (3 - 1.5) / (2 - 1)

= 1.5 cups of sugar

The amount of flour needed would be:

= Number of cups of sugar / Cups of sugar per cup of flour

= 10 / 1.5

= 6 ²/₃ cups of flour

Angela's recipe shows that the cups of sugar needed per cup of flour is:

= (2 - 0) / (1 - 0)

= 2 cups of sugar

This means that with 10 cups of sugar, the amount of flour needed is:

= 10 x 1/2

= 5 cups of flour

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The measure of Angle A and Angle B are 54° and 122° respectively.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In triangle ABC,

The measure of angle A = (n + 20)°

The measure of angle B = (3n - 10)°

The measure of angle C = n°

Now,

The sum of all the angles of the triangle = 180°

So, we can formulate;

(n + 20)° + (3n - 10)° + n° = 180°

Solve for n as;

n + 20 + 3n - 10 + n = 180

5n + 10 = 180

5n = 180 - 10

5n = 170

Divide by 5, we get;

n = 170/5

n = 34

Thus, The measure of angle A = (n + 20)°

                                               = 34 + 20

                                               = 54°

And, The measure of angle B = (3n - 10)°

                                             = 3 x 34 + 20

                                             = 102 + 20

                                             = 122°

Therefore,

The measure of Angle A and Angle B are 54° and 122° respectively.

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a) z score corresponding to x = 27 is -1

b) z score corresponding to x = 43 is 2.2

c)  Raw score corresponding to z = -3 is 17.

d) Raw score corresponding to z = 1.1 is 37.5

Given,

Normal distribution with μ = 32 and σ = 5

a) z score corresponding to x = 27

z = (x - μ) / σ

Then,

z = (27 - 32) / 5 = -5/5 = -1

That is, z score corresponding to x = 27 is -1.

b) z score corresponding to x = 43

z = (x - μ) / σ

Then,

z = (43 - 32) / 5 = 11/5 = 2.2

That is, z score corresponding to x = 43 is 2.2

c) Raw score corresponding to z = -3

z = (x - μ) / σ

Then,

-3 = (x - 32) / 5

-3 × 5 = x - 32

-15 = x - 32

x = 32 - 15 = 17

That is, raw score corresponding to z = -3 is 17.

d) Raw score corresponding to z = 1.1

z = (x - μ) / σ

1.1 = (x - 32) / 5

1.1 × 5 = x - 32

x = 32 + 5.5 = 37.5

That is, raw score corresponding to z = 1.1 is 37.5

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4.5 = m + 2.75

Solving for m:

Subtract 2.75 from both sides:

4.5 - 2.75 = m + 2.75 - 2.75

1.75 = m

m = 1.75

Answer:

The equivalent expression is;

Explanation:

Given the expression;

we want to simplify;

Applying the rules of exponent;

Therefore, the equivalent expression is;

Step-by-step explanation:

the sum of all angles in any quadrilateral is 360°.

so,

x + x + 3x + 8 + 3x + 8 = 360

8x + 16 = 360

8x = 344

x = 344/8 = 43°

3x + 8 = 3×43 + 8 = 129 + 8 = 137°

so, the angles are

43°

137°

43°

137°

Step-by-step explanation:

what table is your teacher taking about ?

in any case this is resistive easy to solve

80 pounds of 30% with x pounds of 0% result in 80+x pounds of 20% :

80×0.3 + x×0 = (80 + x)×0.2 = 80×0.2 + x×0.2

80×0.1 = x×0.2

x = 80×0.1/0.2 = 80/2 = 40 pounds

so, 40 pounds of 0% have to be added to the 80 pounds of 30% to get a mixture of 20% (80+40 = 120 pounds).

Answer:

The x intercept is 3.2, and the y intercept is -32.

Step-by-step explanation:

give brainiest

y-intercept is -32, x intercept is 3.2

Step-by-step explanation:

y-int is whatever b is in y=mx+b

x-int is whatever makes the equation equal to zero

Step 1

Given;

Required; To solve for x

Step 2

Add -27 to both sides

Answer; The number that should be subtracted from both sides of the equation is 27

Given:

Let x be the cost of the Buffalo Bills jersey.

Let y be the cost of the Miami Dolphin jersey.

According to the question, we have

9x+3y=899.40.......(1)

12x+2y=1139.30.....(2)

From (1),

Substitute equation (3) in equation (2), we get

Then the value of y is,

Hence, the cost of the Buffalo Bills jersey is $89.95, and the cost of the Miami Dolphin jersey is $29.95.

Frank first get charged an overdraft fee on Wednesday

Frank has $66.50 in his account as of Sunday.

He made a debit of $60.33 on Monday (66.50 - 60.33), leaving him with a balance of $6.17. He added $80.75 to the account on that same Monday (6.17 plus 80.75). He has $86.92 left over as of Monday.

Frank had a balance of $86.92 on Tuesday when he made a $54.45 debit (86.92 - 54.45). The remaining balance is $32.47.

Frank had a balance of $32.47 at the beginning of the day on Wednesday. He subsequently made withdraw of $49.20. debit(32.47 - 49.20). Frank has overdrawn and will be assessed an overdraft fee following the debit because his balance is -$16.73. Frank still has a negative balance even after making a deposit of $15.

Therefore, Frank was therefore assessed an overdraft fee on Wednesday.

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The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.

The required area can be determined as,

Thus, the required area of the irregular figure is 426 square feet.

The most appropriate choice for surds will be given by-

[tex]-11\sqrt{3}[/tex] is the correct answer.

What are surds?

There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.

[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]

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Answer: B

Step-by-step explanation:

The root at [tex]x=-5[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x+5)[/tex].

The root at [tex]x=-2[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x+2)^2[/tex].

The root at [tex]x=3[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x-3)[/tex].

The root at [tex]x=7[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x-7)^2[/tex].

Answer:

y = 77

Step-by-step explanation:

[tex]\frac{7}{3}[/tex] = [tex]\frac{y}{33}[/tex] ( cross- multiply )

3y = 7 × 33 = 231 ( divide both sides by 3 )

y = 77

The answer to this math question is 77

Answer:

2 1/2 (D)

Step-by-step explanation:

1 8/12 + 5/6

you have to make the denominator on the right equal to the denominator on the left. in order to do that, multiple the numerator and denominator on the left my two.

5/6 become 10/12.

1 8/12 + 10/12

1 18/12

Simplify,

2 6/12 (1/2)

Answer:

[tex]1\frac{8}{12}+\frac{5}{6}=2\frac{1}{2}[/tex]

There are 212 520 ways that the door prizes can be awarded if there are 23 entrants

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

Information about the problem:

Applying the permutation formula we have:

nPr = n! / (n-r)!

23P4 = 23! / (23-4)!

23P4= 23! / 19!

23P4 = 23*22*21*20*19! / 19!

23P4 = 23*22*21*20

23P4 = 212520

It is the ordered arrangement of members belonging to a set with no repeats.

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The impact of new entrants, new products, channel conflicts, and regulation would all be associated with the external opportunities and threats dimension of a SWOT website design analysis.

In summary, the impact of new entrants, new products, channel conflicts, and regulation are all factors that fall under the external opportunities and threats dimension of a SWOT website design analysis. 1. New entrants: When new companies enter the market offering similar website design services, it can increase competition and potentially affect the market share of existing website design businesses. This is an external threat as it poses challenges and risks to the current players in the industry. 2. New products: The introduction of new and innovative website design products can create opportunities for businesses to attract more customers and gain a competitive edge. This is an external opportunity that can be leveraged to improve market position.

3. Channel conflicts: Channel conflicts refer to conflicts or disputes that arise between different distribution channels. In the context of a SWOT analysis for website design, channel conflicts can impact how products and services are delivered to customers. For example, if a website design company relies heavily on a specific distribution channel and that channel experiences conflicts or disruptions, it can affect the company's ability to reach its target market. This is an external threat that needs to be considered.

4. Regulation: Regulations imposed by governing bodies can have a significant impact on website design businesses. For example, regulations related to data privacy, accessibility, or internet governance can affect how websites are designed and operated. Compliance with regulations is crucial to avoid penalties or legal issues. This is an external threat that businesses need to navigate.

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Answer:

Step-by-step explanation:

Up 6 right 4: (4,6)

Right 4 up 6: (4,6)

Left 4 up 6: (-4, 6)

Down 4 right 6: (6, -4)

Right 6 down 4: (6, -4)

Answer: Right 4 up 6 is (4,6), left 4 up 6 is (-4,6), and right 6 down 4 is (6, -4).

Step-by-step explanation: Since you're starting from the origin, it's mainly counting. For (4,6), you are moving 4 places from 0 on the x axis. Then you move up 6 spaces from 4 on the y-axis. If you didn't move up, you'd be stuck at (4,0). It's important to keep in mind that (x,y).

SOLUTION

Step 1 :

We are meant to graph the function,

Step 2 :

The Transformations are Reflection, Vertical Shift and Horizontal Shift.

Step 3 :

The vertex is at ( - 2, 7 ) and it is a maximum.

Responder

y = x + 25

Explicación

El costo de pintar y, para pintar x pies cuadrados es $ 25 más $ 1.00 por pie cuadrado.

Entonces, si se van a pintar x pies cuadrados, la tarifa será

y = (1 × x) + 25

y = x + 25

¡¡¡Espero que esto ayude!!!

The value of the car after 12 years is $15,229.50

Here, we want to calculate the value of a car that loses a percentage of its origial value after some years

To do this, we shall need an exponential equation that represents decay or depreciation

We can have this as;

where;

P is the present value that we want to calculate

I represents the original value of the car which is $32,000

r is the percentage of decrease per year

From the question, there is a decrease of 18% every 3 years

The percentage decrease per year will be 18%/3 = 6%

6% is same as 6/100 = 0.06

t represents the time frame we are considering = 12 years

We proceed to input all these values into the equation above

We have it as;

Answer:

  DF = 4

Step-by-step explanation:

You want DF when L is the midpoint, LD = x-3 and LF = 2x-8.

Segments DL and LF are marked the same, so are congruent. Using the given expressions, we have ...

  LF = LD

  2x -8 = x -3

  x = 5 . . . . . . . . add 8-x to both sides

Then the measures of the segments are ...

  LF = 2(5) -8 = 2

  LD = 5 -3 = 2

  DF = DL +LF = 2 +2 = 4

The length of DF is 4 units.

if the parent function f(x) = |x| is transformed to h(x) = |x| - 3,

1. The transformation occurs from f(x) to h(x) is D. Shift down 3 units

2. The vertex is affected by:

3. The range will C. change from y ≥ 0 to y ≥ -3.

This is an ordered movement of image or object as seen in geometry. The instance here the movement is done by the graph f(x) and h(x) as described.

The type of movement described is called translation.

The range refers to the output of the graph and is typically the y direction.

The range here changed from the origin which is the initial vertex and included point y ≥ -3

It should be noted that the origin of the graph refers to the point y ≥ 0

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The lateral surface area of cone A is equal to the lateral surface area of

cylinder B. This is true.

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal. Therefore, it's true.

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1. When we convert each measurement to pounds, we have

2. When we arrange from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

Coversion scale

1 kg = 2.20462

With the above scale, we can convert each measurement to pound as follow:

I. Brown bear

1 kg = 2.20462

Therefore,

272.16 Kg = 272.16 × 2.20462

272.16 Kg = 600 pounds

II. Giraffe

1 kg = 2.20462

Therefore,

1124.0 Kg = 1124.0 × 2.20462

1124.0 Kg = 2478 pounds

III. Lion

1 kg = 2.20462

Therefore,

226.8 Kg = 226.8 × 2.20462

226.8 Kg = 500 pounds

IV. Rhinoceros

1 kg = 2.20462

Therefore,

1587.6 Kg = 1587.6 × 2.20462

1587.6 Kg = 3500.1 pounds

2. How to arrange for least to greatest

Thus, arranging from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

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Answer:

48x

Step-by-step explanation:

15+2+7+15+2+7=48 + x = 48x

Hope this helps!

Answer:uhh

Step-by-step explanation: