Kim’s family invested $3000 in a certificate of deposit (CD) for her when she was born. the interest rate is 8% and is compounded quarterly. what is the value of the CD in 5 years? what is the value of the CD if it is compounded annually for 15 years?

Answer:

-8 < x < -2

start number line at -10 and end it at 0

draw an open circle* over the dash indicating -8 and -2

connect the open circles

*open circle because it is less than and greater than, not less than or equal to and greater than or equal to

Answer:

-8<x<-2

Step-by-step explanation:

yw luv :D

Answer:

It's an angle bisector

Step-by-step explanation:

It is between 2 congruent angles therefore bisects those angles

Fast food chains that use plastic or styrofoam containers in selling their products are contributing to the global plastic pollution crisis. Styrofoam and plastic containers, which are not biodegradable, take up to 1000 years to decompose.

Every year, an estimated 8 million metric tons of plastic end up in the ocean, and the majority of it is from single-use plastic products such as those used by fast food chains. This plastic pollution is having a devastating effect on the environment, with marine life ingesting and becoming entangled in the plastic. In addition, the production of styrofoam and plastic containers is highly energy intensive and contributes to the emission of greenhouse gases. This is a problematic situation that needs to be addressed urgently.

The energy intensity of production for styrofoam and plastic containers can be calculated using the formula:

Energy Intensity (EI) = Energy Used (EU) / Output (O)

For example, if it takes 50 kWh of energy to produce a unit of output, the energy intensity of production would be 50 kWh/unit. This highlights the environmental impact of styrofoam and plastic containers, and the urgent need to reduce their use in fast food chains.

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A parametrization of the circle is F(t) = (6cost , -6sint).

We are given that,

radius of circle, r = 6

center of circle = (0,0)

In xy-plane, for clockwise orientation

x = rcost, y = rsint

substitute the value of r

x = 6cost, y = 6sint

we know that when we change the orientation then sign of the parameter will be change.

At t = 0, x = 6 but the sign of y will be change

Therefore

x = 6cost, y = - 6sint

0 ≤ t ≤ 2π

substitute t = 0

x = 6, y = 0

Hence the point (6,0) should correspond to t = 0.

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Triangles

Looking at the image, It is safe to say there are two similar triangles having similar base and sides there.

Triangle BAC has the same base as Triangle DAC

Therefore, the vertices of the angle B is equivalent to the vertice of angle D

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Answer:

r ≤ -24.32

Step-by-step explanation:

r/-3.2 > 7.6

r /-3.2 × 3.2 > 7.6 × -3.2

r ≤ -24.32

Answer: r ≤ −24.32

Step-by-step explanation:

The inequality you provided is:

r/-3.2 >= 7.6

To solve for r, we can multiply both sides of the inequality by -3.2 to get:

r <= -24.32

Therefore, r is less than or equal to -24.32.

I hope this helps! Let me know if you have any other questions.

Answer: y = 1x + -4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1 /x2-x1

m = 3--1 /7-3

m = 4/4

m = 1

Now putting value of m in equation (i)

y = 1x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (3,-1) for calculating y-intercept:

y = mx + b

-1 = 1(3) + b

-1 = 3 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1x + -4

Answer:8.75

Step-by-step explanation:35/4

a cooking store owner random 100 coustmer asking their favourite foo 28 liked tacos 54

Answer:

5.4

5.465

5.48

5.51

5.529

5.596

Step-by-step explanation:

5.465 is 0.065 higher than 5.4

5.48 is 0.015 higher than 5.465

5.51 is 0.03 higher than 5.48

5.529 is 0.019 higher than 5.51

and 5.596 is 0.067 higher than 5.529

Round off to one decimal

Order

5.400<5.465<5.480<5.510<5.529<5.596

Answer:

You can do it by using elimination method

By putting one variable on one side of an equation and then putting its value in the other equation like:

x = 4y + 24

Putting value of x in equation 2

3(4y+24) + y = -19

Here we will get the value of y and then we can put it in equation 1 to get value of x.

Hope it helps:)

Answer:

A

Step-by-step explanation:

Pick any two sides....their sum must be greater than the third side....

  a+b > c

  a+c > b

  c + b > a

Answer:

√20

Or

2√5

Step-by-step explanation:

It is very easy just substitute

It will be:

Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

Step-by-step explanation:

You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.

P(AIB) can be read as "the probability that A occurs given that B has occured. This is true.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.

Conditional probability is a measure of the likelihood of an event occurring given that another event has already occurred in probability theory.

Conditional probability: p(A|B) is the likelihood of event A occurring if event B occurs. For example, if you drew a red card, what is the likelihood that it is a four (p(four|red))=2/26=1/13? So there are two fours out of the 26 red cards (given a red card), so 2/26=1/13.

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Answer: b/5

Step-by-step explanation:

They divide the total by 5 to get the cost each person has to pay

The inverse of the function is 3+\(\sqrt[3]{x\x-2}\).

What is inverse of the function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1. One should not confuse (-1) with exponent or reciprocal here.

Given, f(x) = (x − 3)³ + 2

replace f(x) with y

y = (x − 3)³ + 2

y-2 = (x − 3)³

∛y-2 = x-3

∛y-2 +3 = x

Put y =x

we get

∛x-2 +3 =y

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Answer:  \(\frac{7}{120}\)

Step-by-step explanation:

Question:

the equation of a polynomial to match the dotted graph

Points given (-3,0), (-2,0), (0,0), (3,0)​

Solution:

Notice that if P is a polynomial and c is a real number, then the following are equivalent:

1. c is a zero of P.

2. x = c is a solution of the equation P(x) = 0.

3. x- c is a factor of P(x).

4. c is an x-intercept of the graph of P.

Then, due to the above, we can conclude that as -3, -2, 0, and 3 are zeroes of P, the P(x) can be written as:

this is equivalent to:

In expanded form, this is equivalent to:

then, the correct answer is:

Answer:

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

The value of the x will be 154°.

The central angle and the angle between the tangents are supplementary.

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.

So,

x + 26° = 180°

Subtract 26° from both sides;

x + 26 - 26 =  180 - 26

x = 154°

Hence, the value of the x will be 154°.

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By organizing countless data points into comprehensible ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual. So Histograms based on data on housing, prices and salaries typically are skewed to the right.

A histogram in statistics is a graphic depiction of the data distribution. The histogram is shown as a collection of rectangles that are next to one another, where each bar represents a different type of data.

A branch of mathematics called statistics is used in many different fields. Frequency is the term for how often numbers appear in statistical data; it can be shown as a table and is known as a frequency distribution.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis.

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Answer:

y-intercept is (0,4)

and the slope is 0

Step-by-step explanation:

Answer:

p=8

Step-by-step explanation:

-5log(p+1)+2=-8

-5log(p+1)=-10

log(p+1)=2

p+1=9, p=8

Answer:

3x+4<13

3x<9

x<3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

\(x\geq -4\)

Step-by-step explanation:

\(3x-9\geq-21\)

add 9 to both sides

\(3x-9+9\geq -21+9\)

\(3x\geq -12\)

divide both sides by 3  

\(\frac{3}{3}x \geq \frac{-12}{3}\)

\(x\geq -4\)

Plot a solid dot on -4 on the number line because the inequality sign is great than or equal to and x the great than or equal to -4.

The arrow is then pointed to the left >>>>

The answer for the given Laplace Transform, f(s), is e^(-s)[(1/s^2) - (1/s)].

To find f(s), we can start by applying the Laplace transform to the given function:
ℒ{(t − 1)(t − 1)} = ℒ{t^2 - 2t + 1} = 1/s^3 - 2/s^2 + 1/s


Identify the function
We have the function (t - 1)u(t - 1), where u(t - 1) is the unit step function.

Apply the Laplace Transform property for the unit step function
The Laplace Transform of u(t - a)f(t - a) is given by e^(-as)F(s), where a = 1 in our case. So, we need to find the Laplace Transform of f(t - a) = f(t - 1).

Find the Laplace Transform of f(t - 1)
Our function f(t - 1) = t - 1. The Laplace Transform of t^n is given by n!/(s^(n+1)), so for n = 1, the Laplace Transform of t is 1!/(s^2) = 1/s^2. Since we have t - 1, we find the Laplace Transform of the constant 1 as well, which is 1/s.

So, the Laplace Transform of f(t - 1) = (1/s^2) - (1/s).

Apply the Laplace Transform property
Now, we apply the e^(-as)F(s) property with a = 1:
f(s) = e^(-s)[(1/s^2) - (1/s)]

So, the answer for the given Laplace Transform, f(s), is e^(-s)[(1/s^2) - (1/s)].

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Answer:

Sharsta got 12 chips, Nasreen got 18 chips, and Maseeha got 30 chips.

Step-by-step explanation:

To divide 60 chips among Sharsta, Nasreen, and Maseeha in the ratio 2:3:5, we need to first find the total number of parts in the ratio:

2 + 3 + 5 = 10

Then, we can find the share of each person by multiplying their ratio by the total number of parts and dividing by 10:

Sharsta: (2/10) x 60 = 12 chips

Nasreen: (3/10) x 60 = 18 chips

Maseeha: (5/10) x 60 = 30 chips

12,18,30

Step-by-step explanation:

Let chips got by sharsta , nasreen and maseeha be 2x ,3x,5x respectively

then,

2x+3x+5x=60

10x=60

x=6

so,

2x=12

3x=18

5x=30