HELP FAST!!!!

INVESTMENTS Your aunt receives an inheritance of $20,000. She wants to
put some of the money into a savings account that earns 2% interest annually and
invest the rest in certificates of deposit (CDs) and bonds. A broker tells her that
CDs pay 5% interest annually and bonds pay 6% interest annually. She wants to
earn $1000 interest per year, and she wants to put twice as much money in CDs
as in bonds. How much should she put in each type of investment?
11.

Part (a)

Answers:

A' = (0, 2)

B' = (-1, -2)

C' = (-3, -2)

D' = (-4, -1)

Explanation:

Multiply each coordinate by 1/3.

For instance,

\(B(-3,-6) \to B( -3*(1/3), -6*(1/3) ) \to B \ '(-1, -2)\)

====================================================

Part (b)

Answers:

A' = (-5, 5)

B' = (-8, -7)

C' = (-14, -7)

D' = (-17, -4)

Explanation:

Subtract 5 from the x coordinate. Subtract 1 from the y coordinate. This moves each point 5 units to the left and 1 unit down.

I'll show an example using point C.

\((\text{x},\text{y})\to(\text{x}-5,\text{y}-1)\\\\(-9,-6)\to(-9-5,-6-1)\\\\(-9,-6)\to(-14,-7)\\\\\)

Therefore, C(-9,-6) moves to C ' (-14,-7)

{(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range that defines the correct relation. The correct option is D.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

When one magnitude depends on another, the relationship between them is known as a mathematical function. So long as they are uniquely and solely connected.

Every mathematical function is the relationship between an element of group A and an element of group B. Consequently, the following algebraic expression can be used to represent this function:

Therefore, the {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range that defines the correct relation. The correct option is D.

The complete question is given below,

Which relation describes a function? What makes it a function?

A) {(-2,3),(-2,5),(-6,7)} Each member of the range is unique.

B) {(2,3),(3,3),(3,4)} Each member of the domain and range is positive.

C) {(2,3),(3,3),(3,4)} Each member of the domain and range is a real number.

D) {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range.

To know more about function follow

https://brainly.com/question/25638609

#SPJ1

The point of intersection of the equations C = 100t + 5000 and C = 75t + 7000 represents the  the point in time where the cost of installing either will be the same.

Linear equations are equations where the right hand side and left hand side involves expressions with one or more variables for which the highest degree of the variable being 1.

We have two linear equations given,

C = 100t + 5000 and C = 75t + 7000.

The point of intersection of these linear equations will be when both the equations are equal.

100t + 5000 = 75t + 7000

100t - 75t = 7000 - 5000

25t = 2000

t = 2000/25

t = 80

This is the point in time where the cost of installing either will be the same, that is after 80 months.

Cost of installing = (100 × 80 ) + 5000 = 13,000

Or                         = (75 × 80) + 7000 = 13000

Hence the point of intersection of these equations represent the point in time where the cost of installing either will be the same.

To learn more about Linear Equations, click :

https://brainly.com/question/12412488

#SPJ1

Answer:

The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.

Therefore, the length of the dam drawing is 5 cm.

Step-by-step explanation:

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer: The answer is 10

Answer:

10

Step-by-step explanation:

x + 7 - 11=6

x - 11 = -1

x = 10

Answer:

21 and 18.48 respectively

Step-by-step explanation:

to solve this question,first we need to identify the quotients by dividing the numbers and multiply each by 21/5

The quotient of the \(\frac{55}{11}\)=5

\(\frac{21}{5}\)  of 5 = \(\frac{21}{5}\)×5=21

The quotient of the \(\frac{22}{5}\)=4.4

\(\frac{21}{5}\) of 4.4 = \(\frac{21}{5}\)×4.4=18.4

 so, the answer is 21 and 4.4 respectively.

Answer:

Dont worry man take a deep breath just try your best and if worse case you do bad and on the test take your time and don’t feel pressured

Step-by-step explanation:

Answer:

nope. you only go to summer school if you flunked about 60% of your core subjects. and/or if you also flunked your PAT'S/SAT'S. don't worry buddy.

The first option is correct. When the polynomial -3x² + 2x - 4 - (-2x² - x + 4) is simplified the result is -x² + 3x - 8.

A polynomial is a mathematical expression consisting of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, and multiplication.

We shall simply the polynomial -3x² + 2x - 4 - (-2x² - x + 4) as follows:

open bracket;

-3x² + 2x - 4 + 2x² + x - 4

group like terms;

-3x² + 2x² + 2x + x - 4 - 4

- x² + 3x - 8.

Therefore, the polynomial -3x² + 2x - 4 - (-2x² - x + 4) is simplified to give the result is -x² + 3x - 8.

Read more about polynomial here:https://brainly.com/question/4142886

#SPJ1

Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate. He received $756 in gross pay. The hourly rate of Kevin is $126.

Given that,

Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate.

He received $756 in gross pay.

We have to find the hourly rate of Kevin.

Let h be the hourly rate.

Then

1.5h be the overtime rate.

Reg pay+ Overtime pay=Total pay

40h+4(1.5h)=756

40h+6h=756

46h=756

h=756/40

h=$126

Therefore, the hourly rate of Kevin is $126.

To learn more about rate visit: https://brainly.com/question/13324776

#SPJ1

Answer:

(9, 4).

Step-by-step explanation:

To find the corresponding point of the function f(x)+5 when (9,-1) is on the graph of f(x), we simply add 5 to the y-coordinate of the point.

If (9,-1) is on the graph of f(x), then the corresponding point on the graph of f(x)+5 would be (9, -1+5), which simplifies to (9, 4).

Therefore, the corresponding point of the function f(x)+5 is (9, 4).

Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

Learn more about Taxes Calculations here:

https://brainly.com/question/16200743

#SPJ2

Answer:

Option 2, option 3, option 4

Answer:

Exact Form - 7/5

Decimal form - 1.4

Mixed Form 1 2/5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

\(12x - 15 = 6 - 3x\)

Move all x values to one side of the equation, and all constant values to the other side of the equation, and don't forget to flip the signs when going from left to right or vice versa.

\(12 x + 3x = 6 + 15\)

\(15x = 21\)

\(x = \frac{21}{15} = \frac{7}{5} \)

Answer:

The answer is x=6

Step-by-step explanation:

To find this we need to simplify  so  2x+4=16,   2x=16-4,     2x=12,     2x/2=12/2  

so x=6

Answer:

the answer is 6

Step-by-step explanation:

subtract 4 from both sides then you are left with 2x=12. so then you divide 12 by 2 and get 6. hope this helps:)) let me know if i can help you anymore:)

Answer:

5.63

Step-by-step explanation:

Answer:

To determine the maximum height reached by the golf ball before it returns to the ground, we can analyze the given quadratic function:

y = -16x^2 + 80x

This quadratic function represents the height of the golf ball at time 'x' seconds. The maximum height occurs at the vertex of the quadratic equation, which can be found using the formula: x = -b / (2a).

For this function, a = -16 and b = 80. Substituting these values into the formula, we have:

x = -80 / (2 * -16)

x = -80 / -32

x = 2.5

To find the maximum height, substitute this value of 'x' back into the original equation:

y = -16(2.5)^2 + 80(2.5)

y = -16(6.25) + 200

y = -100 + 200

y = 100

Therefore, the golf ball reaches a height of 100 feet before it begins to return to the ground.

The correct answer is D. 100 ft.

Step-by-step explanation:

To estimate the result of multiplication round the numbers to some close numbers that you can easily multiply mentally.

In this case, 608×8 ≈ 600×8 = 4800

Answer:

x=65 0r in other words D

Step-by-step explanation:

110=2x-20

+20     +20

130=2x

/2      /2

65=x

As a result, when the camera and the rocket are 4255 feet apart, the rate  trigonometry of change in the angle of elevation after launch is roughly -0.15807 radians/foot.

Trigonometry is the field of mathematics that explores the connection between triangle side lengths and angles. The issue first originated in the Hellenistic era, during the third century BC, as a result of the use of geometry in astronomical investigations. The subject of mathematics known as exact techniques is concerned with certain trigonometric functions and their possible applications in calculations. Trigonometry contains six commonly used trigonometric functions. Their separate names and acronyms are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of triangle characteristics, particularly those of right triangles. As a result, geometry is the study of the properties of all geometric forms.

Where is the camera's angle of elevation and c is the rocket's height above ground level.

We may express the angle of elevation using the given formula as:

r θ = tan⁻¹(c/2000)

c2 + x2 = d2, where d = 4255 ft 2c(dc/dx) + 2x = 0, and dc/dx = -x/c.

When we multiply c by 2000 tan() and x by (d2 - 20002) (since x is the horizontal distance between the camera and the rocket), we get: dc/dx = -(d2 - 20002) / (2000 tan())

tan1(0.02d/2000) = tan1(d/100000)

dc/dx = -(d2 - 20002) / (2000 tan(tan1(d/100000)) = -(d2 - 20002) / (2000 tan(tan1(d/100000)) = -0.005(d2 - 20002) / d

dc/dx = -0.005(42552 - 20002) / 4255 -0.15807 radians per foot

As a result, when the camera and the rocket are 4255 feet apart, the rate of change in the angle of elevation after launch is roughly -0.15807 radians/foot.

To know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ1

it will be 3375 bacteria my ducky

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

Learn more about average speed here:

https://brainly.com/question/9834403

#SPJ1

Answer:

27 cards left to be signed

Answer:

27 cards

Step-by-step explanation:

first we need to find what 1/4 of 84 is which will be 21 then we need to find what 3/7 of 84 is which will be 36 now we add the two getting 57 and then subtract 57 from 84 leaving us with 27 cards left. hope this helps.

Step-by-step explanation:

at 2=-2

at -3= -6

\(y = ax + b \\ - 2 = 2a + b \\ - 6 = - 3a + b\)

\( - 2 - ( - 6) = 2a - ( - 3a) \\ 4 = 5a \\ a = 0.8\)

\( - 2 = 2(0.8) + b \\ b = - 2 - 1.6 \\ b = - 3.6\)

\(y = 0.8x - 3.6\)

Answer:

You need $20,000 to make a down payment on a house. Your beginning balance in your checking account this month was $5,678. Your ending balance was $6,324. Assuming your account balance continues to grow at the same rate, how long until you have enough money to make the down payment?

Step-by-step explanation:

N/A

\(\huge\fbox{Answer ☘}\)

cost of 2kg bananas = $1.20

\(\bold{cost\: of \:1 \:kg \:banana\: = \frac{1.20}{2}}\\\)

‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎=> $0.6

‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎

‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎

‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎

thus ,

cost of 4 kg bananas = $0.6 × 4

‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎=> $2.40

hope helpful~

Answer:

Step-by-step explanation:

2 kg of bananas cost $1.20. work out the cost of 4 kg

1.20 : 2 = 0.60 (1kg of bananas)

0.6 * 4 = 2.40 ( 4 Kg of bananas)

or with an expression

1.20 : 2 * 4 =

0.60 * 4 =

2.40

Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.