Mandy has $40 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will she have in 2 years

Answer: [tex]f^{-1} (x) = -\frac{x^{2} }{3} -18x -243[/tex]

Step-by-step explanation: that would be the inverse function

Answer:

Step-by-step explanation:

Answer:

$4.7

Step-by-step explanation:

The triangles are similar by AA.

Similar triangles are triangles that have the same shape, but their sizes may vary.

In similar triangles, corresponding sides are always in the same ratio.

Corresponding angles in similar triangles are always congruent.

Therefore, the angles of the first triangle are 88, 30 and 62 and the angles of the second triangle are 62, 88 and 30 degrees.

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Therefore, the triangles are similar by AA.

learn more on similar triangles here: https://brainly.com/question/15227590

#SPJ1

The result of evaluating the expression r w-6 is equal to -12.

To evaluate an expression is a term used in maths that generally means to come up with a solution to an equation and if it is not possible then reduce it to a smaller equation by exchanging the variables with the given numerical values.

We can evaluate the given expression as follows:

Since r = 3 and w = -2, we can substitute r and w in the expression, r w-6, with 3 and -2 respectively.

r w - 6 = 3 (-2) - 6

3 (-2) - 6 = -6 -6 = -12.

Hence if we evaluate the expression r w-6, the result will be -12.

To learn more about expressions, click here:

https://brainly.com/question/4344214

#SPJ4

For this question, the inequality is 4.9+4.1+6.4.+x < 18.7 and the solution is x < 3.3 ft.

The perimeter of a geometric figure is the sum of its sides. Thus, for a square, for example, the perimeter is S1+S2+S3+S4, where S represents the dimension of each side.

In this question the sides are: 4.9, 4.1, 6.4 and x. The exercise also informs that the perimeter is less than 18.7 ft.

Thus, you can write

4.9+4.1+6.4.+x < 18.7

x+15.4 < 18.7

x < 18.7 - 15.4

x < 3.3 ft.

Read more about the perimeter here:

brainly.com/question/24571594

#SPJ1

The 95% confidence interval for the proportion who believe immigration is a good thing is 0.631< p < 0.689.

Immigration is the term used to describe the international movement of individuals to a country of destination where they do not have nationality or ancestry in order to settle as citizens or permanent residents. The definition of immigration or migration excludes commuters, tourists, and other short-term visitors; seasonal labor immigration is occasionally included, though.

Research indicates that migration has favorable economic impacts for both the sending and receiving countries. The majority of the time, according to research, immigration benefits the native people economically. However, there is some debate over whether low-skilled immigration has a negative impact on low-skilled natives.

Given that,

Point estimate = sample proportion = [tex]\hat p = x / n = 663 /1004=0.660[/tex]

1 - [tex]\hat p[/tex]  = 1-0.660=0.34

Margin of error = E =  [tex]Z\alpha/2 * \sqrt(((\hat p * (1 - \hat p)) / n)[/tex]

                              = [tex]1.96 (\sqrt((0.66*0.34) /1004 )[/tex]

                            E   = 0.029

A 95% confidence interval it is given as ,

[tex]\hat p - E < p < \hat p + E[/tex]

0.66 - 0.029 < p < 0.66+ 0.029

0.631< p < 0.689

To learn more about immigration ,visit:

https://brainly.com/question/17124402

#SPJ4

Answer:

1. The sum of the measures of complementary angles is 90°.

2. The sum of the measures of supplementary angles is 180°.

3. The measures of vertical angles are equal.

The measure of the smaller angle of the complementary angles is: 36 degrees.

If the sum of two angles equals 90 degrees, then they are complementary angles.

Given that the ratio of two complementary angles is 3:2, therefor:

3x + 2x = 90

5x = 90

5x/5 = 90/5

x = 18

The smaller angle = 2x = 2(18) = 36 degrees.

The larger angle = 3x = 3(18) = 54 degrees.

Therefore, the measure of the smaller angle of the complementary angles is: 36 degrees.

Learn more about on:

https://brainly.com/question/16281260

#SPJ4

Answer: The length of the side is 14 inches

Step-by-step explanation: Using the formula V=(b^2xh):3

Input the numbers we are given: 196=(b^2x3):3 now calculate 196=(14^2x3):3 side b=14 inches

Answer:

Old 175.20, New 167.90

Step-by-step explanation:

Manufacturing cost: $146

Old Price $146 + 20% markup = $175.20

New Price $146 + 15% markup = $167.90

Answer:

Hope this helps :)

a) (+12) ÷ (+4) = 3

c) (-18) ÷ (+9) = - 2

e) (+72) ÷ (-8) = - 9

g) (-14) ÷ (+1) = - 14

i) (-27) + (-3) = - 30

b) (-15) ÷ (-3) = 5

d) (+81) ÷ (-9) = - 9

f) (-64 : (-8) =

If the sign is +, then the answer is - 72.

If the sign is ÷, then the answer is positive 8.

If the sign is x, then the answer is positive 512.

If the sign is - , then the answer is - 56.

h) (+54) ÷ (-6) = - 9

j (+32) + (+4) = 36

{-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers.

Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,

For the given graph we can conclude the interval one by one.

For the first blank {-3 if x ∈ [-2,-5]}

For the second blank {-2 if x ∈ (-2,3]}

For the third blank {3 if x ∈ (3,4]}

Therefore, {-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).

Learn more in depth about interval notation at https://brainly.com/question/28439866

#SPJ1

Her friend bought the same T - shirt for $ 17.5 after 30 % discount.

We are given that a girl bought a T- shirt for $ 25.

Selling price = $ 25

Now, her friend bought the same T- shirt for 30 % off.

Discount rate = 30 %

Let the discounted price at which her friend bought the t - shirt be x.

So, we get that:

x = $ 25 - 30 % of $ 25

x = $ 25 - 30 / 100 × 25

x = $ 25 - $ 7.5

x = $ 17.5

Therefore, her friend bought the same T - shirt for $ 17.5 after 30 % discount.

Learn more about discount here:

https://brainly.com/question/7459025

#SPJ9

Answer: -4

Step-by-step explanation:

a = -2 and b = 4

(b/a)^3 + a^2=

(4/(-2))^3 + (-2)^2=

(-2)^3 + 4=

-8+4=-4

Answer:

first one if I'm not wrong

The geometric term modeled by the given object (knot in a rope) is a point

The given object is a knot in a rope

The knot of a knot in a rope is often represented by a dot

This means that the knot in a rope can be modelled by a line point

Hence, the geometric term modeled by the given object (knot in a rope) is a point

Read more about geometric terms at

brainly.com/question/17432486

#SPJ1

According to the given statement the correct option is: D.

Domain, nonnegative values; range, values greater than 3.

The difference between the greatest and lowest values inside one set of integers is known as the range. Subtract the smallest from the greatest value in the set to determine range.

f(x) = 3x + 3

where f(x) is the plant's height and x is the passage of time.

The set of input values is known as the domain and the collection of output values is known as the range.

Because the value of time cannot be negative, the domain has non-negative values.

The lowest possible value of x is 0. Replace x=0 in the provided function.

f(x) = 3x + 3

f(0) = 3(0) + 3

     = 3
At x=0, f(x) has a minimum value of 3, or 3. As x increases, function's value rises. Range thus refers to values greater or equal to 3.

To know more about Range visit:

https://brainly.com/question/1773253

#SPJ4

I understand that the question you are looking for is:

Amelia is documenting the height of sunflower plants each week. She has determined the function to be f(x) = 3x + 3, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) correctly

a. Domain, nonnegative values; range, nonnegative values

b. Domain, nonnegative values; range, values greater than −1

c. Domain, nonnegative values; range, values less than −1

d. Domain, nonnegative values; range, values greater than 3

Answer:

this is the answer of this question

The constant of proportionality is 0.5.

From the information, Rocko paid $12.50 for 25 game tickets and Louisa paid $17.50 for 35 game tickets.

The constant of proportionality can be illustrated as k.

Therefore, 12.50 = 25 × k

12.50 = 25k

Divide

k = 12.50/25

k = 0.5

The constant of proportionality is 0.5.

Learn more about proportionality on:

brainly.com/question/28280501

#SPJ1

According to the given statement the frequency of the sound = 693.87h2b.

The frequency of a repeated event is its number of instances per unit of time. In certain cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. One hertz (Hz) equals one (event) per second, which is how frequencies is expressed. Because it reflects the duration of time for one cycle of a recurring occurrence, the period is the opposite of the frequency. For example, the period, T, of a heart beating at such a frequency of 120 times per minute (2 hertz), is equivalent to 0.5 seconds (60 seconds divided by 120 beats).

let consider Speaker at 2x 1 and the listener at p.

lot wake interfere at pence path difference for interfering phase difference

(2π/λ )Δx₁ = 2πn

When spark move for word, the path difference:

Δx₂ = 0.950

Then phase difference

Δ∅₂ = (2π/1)Δx₂ = 2

Δ∅₂ - Δ∅₁  = (2π/λ)(Δx₂ - Δx₁) = 2π

2π x .49

λ = 0.49

frequency

f λ = Vsound

f = 340/0.49

= 693.87h2b

When separation is Δx₁ = 0.46

Δ∅₁  = 2π/0.49) x 0.46

= 5.993 radian

When separation is w2 = 0.95

it will gives 12.18116 radian.

According to the given statement the frequency of the sound = 693.87h2b.

To know more about frequency, visit;

https://brainly.com/question/5102661

#SPJ4

Answer:

gooddddd luuuuuuuccccccckkkkk

Answer:

<K = 55     <L = 55     <M = 70

Step-by-step explanation:

As it is an isosceles triangle, Two sides of the triangle will be equal and their angles will be equal too.

L and K are both = (4x + 3)

All angles in a triangle add up to 180

(4x + 3) + (4x + 3) + (5x + 5) = 180

4x + 3 + 4x + 3 + 5x + 5 = 180

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

<K = 4x + 3 = 4(13) + 3 = 55

<L = 4x + 3 = 4(13) + 3 = 55

<M = 5x + 5 = 5(13) + 5 = 70

Answer:

Step-by-step explanation:

the number is 18, so half of that would be

The total number of coins Kiara put in each envelope are 2.

According to the given question.

Total number of coins Kiara have = 6

Total number of envelopes Kiara have = 3

Since, we have to find the number of coins Kiara put in each envelope. So, for this we will divide total number of coins by total number of envelopes.

Therefore,

The total number of coins Kiara put in each envelope

= 6/3

= 2

Hence, the total number of coins Kiara put in each envelope are 2.

Find out more information about division here:

https://brainly.com/question/13753299

#SPJ4

Answer:

Step-by-step explanation:

9/2 = 4 1/2

9/2=4.5

So, we divide 1 by 9/2 to find the answer

1/4.5 = 0.2222222222

Hope this helps! ^^

There are 0.22 groups or 2/9 groups of 9/2 in unity.

A common fraction is a numeral which represents a rational number. That same number can also be represented as a decimal, a percent, or with a negative exponent. Example -

2/5, 5/6, 7/9

We have a fraction and a whole number.

Assume that there are [x] groups of 9/2 each. Then, we can write -

9x/2 = 1

x = 2/9

x = 0.22 (rounded of)

Therefore, there are 0.22 groups or 2/9 groups of 9/2 in unity.

To solve more questions on fractions, visit the link below-

https://brainly.com/question/1627825

#SPJ5

Answer:

2

Step-by-step explanation:

Answer: x = 5 or YOUR DAD

Step-by-step explanation:

1. Add 15 to both:
10 + 15 = 5x - 15 +15

2. Divide by 5 on both sides:
25/5 = 5x/5

3. Simplify:
5 = x

4. Symmetric Property of Equality:
x = 5

Answer:

Question

solve the equation 10 = 5x -15​   The answer is X=5

Step-by-step explanation:

10 = 5x -15​

            5x - 15 = 10

                5x - 15 +15 = 10+ 15

                5x = 25

                   5x/ 5 = 25/ 5

                     U get x = 5

Hope this helps :)

The weighted average of the points in the line is 7.5

The points are given as

3 and 12

The weighted average of the points in the line is calculated as

Weighted average = Sum/Count

So, we have:

Weighted average = (3 + 12)/2

Evaluate

Weighted average = 7.5

Hence, the weighted average of the points in the line is 7.5

Read more about weighted average at

https://brainly.com/question/18554478

#SPJ1