If $3000 is invested at tan interest rate if 4.8%, compounded hourly for two years what is the ending balance?

Answer:

Yes.

Step-by-step explanation:

To decide if these triangles are similar, we need to check 2 criteria. The first is that the angles are all the same as their corresponding angles on the other triangle, which is true. The second is to check if the sides are all in the same proportional relationship. To do this, we need to put 40/50, 40/50, and 16/20 to see if they simplify to the same fraction (which is the proportion.) 40/50 and 40/50 simplify to the same fraction, 4/5. 16/20 also simplifies to 4/5, so the sides are all in the same proportion, which means the shapes are similar.

Answer:

[tex]y=-\frac{1}{4}x-\frac{1}{4}[/tex]

Step-by-step explanation:

To find the equation in slope-intercept form, isolate [tex]y[/tex].

[tex]4y+x=-1 \\ \\ 4y=-x-1 \\ \\ y=-\frac{1}{4}x-\frac{1}{4}[/tex]

The researcher was using Investigator triangulation quality-enhancement strategy.

The Investigator triangulation strategy make use of more than one researcher, investigator or interviewer to study the data.This research strategy can help you improve the credibility and the validity of your findings.

Including the Investigator triangulation strategy , there are basically four types of triangulation strategies . The other three are listed below :

- Data Triangulation

- Theory Triangulation

- Methodological Triangulation

learn more on triangulation here :

https://brainly.com/question/12659164

#SPJ4

Slope between the points (-10, 5) and (14,-3) is -1/3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope between points (-10, 5) and (14,-3)

m=-3-5/14+10

m=-8/24

m=-1/3

Hence, slope between the points (-10, 5) and (14,-3) is -1/3.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Answer: y intercept is -1

Step-by-step explanation:

Answer:

EGFB

Step-by-step explanation:

PQ= (105)^2 + (208)^2

PQ=233

Area = b*h

Area = 21840

RS = (210)^2 + (120)^2

RS = 241.87

Area = 1/2bh

Area = 1/2 (210)(120)

Area = 12600

The solution of the algebraic equation is x = -2. The proof is elaborated below.

The algebraic equation given to us is 14(x + 1) = -7(4 + x). An equation is a mathematical statement that proves the equality of two mathematical expressions. The first step is to simplify the brackets. The equation becomes 14x + 14 = -28 - 7x. Now, we will add 7x to both sides of the equation. The equation is modified as 21x + 14 = -28. Now, we will subtract 14 from both sides of the equation. The equation is modified as 21x = -42. Now, we will divide both sides of the equation by 21. The equation is modified as x = -2.

To learn more about algebraic equations, visit :

https://brainly.com/question/953809

#SPJ1

Answer:

A

Step-by-step explanation:

Domain is the set of x values, so we can cross off C and D as answer choices as those would be possible answer choices for range. Looking at the graph, you can see the graph continues infinitely. The domain of the function is all real numbers, or A.

PMF probability mass function:

2 - 0.03125, 3 - 0.15625, 4 - 0.3125, 5 -0.3125, 6 - 0.15625, 7 - 0.03125.

The probability of such a function is the degree to which an event will occur as a rational number.

A family has 2 adopted girls and 5 biological daughters.

Each naturally occurring child does have an equal chance of being a boy or a girl.

Out of the seven offspring, the probability mass function for girls is as follows:

B should stand for Boy, and G should stand for G.

Consequently, this is the probability mass function:

P(GGBBBBB) = ⁵C₀ x (0.5)⁰ x (0.5)⁵

                      = 0.03125

P(GGGBBBB) = ⁵C₁ x (0.5)¹ x (0.5)⁴

                      = 0.15625

P(GGGGBBB) = ⁵C₂ x (0.5)² x (0.5)³

                      = 0.3125

P(GGGGGBB) = ⁵C₃ x (0.5)³ x (0.5)²

                      = 0.3125

P(GGGGGGB) = ⁵C₄ x (0.5)⁴ x (0.5)¹

                      = 0.15625

P(GGGGGGG) = ⁵C₀ x (0.5)⁵ x (0.5)⁰

                      = 0.03125

Thus, the probability mass function for girls out of the 7 children is obtained.

To know more about the Probability, here

https://brainly.com/question/13604758

#SPJ4

The probability that Halima walks at least one way is 0.64

Calcualting Probability:

Probability is a branch of mathematics which is deals with the occurrence of a random event. The value of probability is expressed from zero to one but not more than 1. It is used to predict how likely events are to happen. The probability of an event 'E' is denoted by P(E).

Here we have

Halima either travels by bus or walks when she visits the town center

The probability that she catches the bus to town = 0.4

The probability that she catches the bus from town = 0.9

Let A and B be the events that she catches the bus to the town and the event that she catches the bus from the town respectively

=> P(A) = 0.4

=> P(B) = 0.9

The above events P(A) and P(B) are two independent events

Then the probability that she catches the bus to and from the town
=> P(A∩B) =  0.4 × 0.9 = 0.36

Therefore,

The Probability she walks at least one way P(A ∪ B) = 1 - P(A∩B)
=> P(A∪B) = 1 - 0.36

=>  P(A∪B) = 0.64

Hence,

The probability that Halima walks at least one way = 0.64

Learn more about Probability at

https://brainly.com/question/11034287

#SPJ1

The sample of study is 100 business.

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Given,

Snoopy brown is interested in the number of businesses that do not allow dogs in st. paul, mn. to conduct his study, he randomly selects 100 businesses listed in the st. paul phone book, calls them and asks their policy.

The sample of study is 100 business.

To learn more about sample, visit:

https://brainly.com/question/13287171

#SPJ4

The absolute value of the difference between the first and second numbers is 5.

Here we have to find the difference between the first and the second numbers.

There are three statements.

Let a, b, and c be the first, second, and third numbers respectively.

The first statement is that the sum of the three number is 96.

The second statement is that the first number is 6 times the third number.

a = 6c

The third statement is that the third number is 40 less than the second number.

c = b - 40

b = c + 40

The sum of the three numbers is 96.

a + b + c = 96

6c + c + 40 + c = 96

8c = 96 - 40

8c = 56

c = 7

As a = 6c and b = c + 40

Now put the value of c as 7 we have:

a = 6 × 7

= 42

b = 7 + 40

= 47

Difference between the first and second numbers= 47 - 42

= 5

Therefore the difference is 5.

To know more about the number refer to the link given below:

https://brainly.com/question/21289653

#SPJ4

If the degree of the polynomial is 3 with zeros 7i and 9/5, then the polynomial f(x) = [tex]5x^3-9x^2+245x-441[/tex]

The zeros of the polynomial = 7i and 9/5

Here the degree of polynomial is 3, therefore there will be three zeros in polynomial, here only 2 zeros are given. We have to find the third zero of the polynomial.

Here one of the polynomial is complex number, therefore another zero will be the conjugate of the complex zero

Therefore the equation will be

(x+7i)(x-7i)(5x-9) = 0

We have to solve the equation

([tex]x^2[/tex] -7ix+7ix+49)(5x-9) = 0

([tex]x^2[/tex] + 49)(5x - 9) = 0

[tex]5x^3-9x^2+245x-441 =0[/tex]

Therefore

f(x) = [tex]5x^3-9x^2+245x-441[/tex]

Hence, if the degree of the polynomial is 3 with zeros 7i and 9/5, then the polynomial f(x) = [tex]5x^3-9x^2+245x-441[/tex]

Learn more about polynomial here

brainly.com/question/28652768

#SPJ1

Answer:

2 , 3 , 4

Step-by-step explanation:

Corresponding angles:  When two parallel lines are intersected by a transversal, the angles on the same side and same position of the transversal are same.

            ∠3 = ∠1

Vertically opposite angles: When two lines intersect, the opposite angles are congruent.

             ∠2 = ∠1

            ∠4 = ∠3

So, ∠1 = ∠2 = ∠3 = ∠4 = 60°

The distance between the two points is 8.25 units

The distance between two points in a plane is the length of the line segment separating the two locations. Typically, the equation d=((x2 - x1)2 + (y2 - y1)2) is used to calculate the distance between two locations. You may use this formula to get the separation between any two points on an x-y plane or coordinate plane.

The following is the formula for the separation between two points:

d= √(x₁-x₂)²+(y₁-y₂)²

Points (x1, Y1) and (x2, Y2)

As given in the question, the points are (-6, -6) and (-8, 2)

The distance between the two points is,

d= √(-6+8)²+(-6-2)²

d=√4+64

d=√68 units= 8.25 units

Therefore, the distance between the two points is 8.25 units

To know more about the distance between two points, visit:

https://brainly.com/question/24485622

#SPJ13

The required equation is 20 + 2m = 15 + 4m. The number of miles for which Uber and Lyft would charge the same amount for the ride is 2.5 miles.

Uber charges a flat rate of $20 plus $2 per mile. Lyft charges a flat rate of $15 plus $4 per mile. We need to find out the equation and the number of miles for which Uber and Lyft would charge the same amount for the ride.

Let the charge of Uber and Lyft be represented by the variables C1 and C2. We can write the equations given below.

C1 = 20 + 2m

C2 = 15 + 4m

We need the charge for both companies to be equal.

C1 = C2

20 + 2m = 15 + 4m

Hence, the required equation is 20 + 2m = 15 + 4m. Now we will solve this equation to find the number of miles.

2m = 5

m = 2.5

Hence, the number of miles for which Uber and Lyft would charge the same amount for the ride is 2.5 miles.

To learn more about equations, visit :

https://brainly.com/question/10413253

#SPJ4

Answer:

24

Step-by-step explanation:

2(x-3)

2(15-3)

2(12)

24

Hopes this helps please mark brainliest

Answer:

24

Step-by-step explanation:

2(x - 3)

==> plug in x = 15

2(15 - 3)

==> subtract 3 from 15

2(12)

==> multiply 2 and 12

=24

Remember we evaluate using pemdas

Parenthesis

Exponents

Multiplication and Division (going left to right)

Addition and Subtraction (going left to right)

This is the order of operations we use to determine which operation we perform. Here we first used "parenthesis" and did all operations inside of the parenthesis. We then ended with multiplication

Answer:

$1.80

Step-by-step explanation:

Answer:

Step-by-step explanation:

can’t be determined

Using the theories of probability, we got that 0.0260 is the probability  of choosing 4 spades and 2 cards that are not spades and 0.1202 is the probability of choosing 2 red face cards  from a well shuffled deck of 52 playing cards..

We know a deck of 52 playing cards has  13 hearts, 13 clubs, 13 spades,

13 diamonds.

∴  The possibility that she chooses 4 spades and 2 cards that are not spades is,

= ([tex]^1^3C_4[/tex]×[tex]^3^9C_2[/tex])/([tex]^5^2C_6[/tex])

As from the 13 spade cards 4 are chosen, so now we are left with (52 - 4) = 48

and 2 cards that are not spades means out of 9 spades that are left after choosing 4 that is 9 will also be subtracted (48 - 9) = 39.

= (13!/(13 - 4)!×4!)×(39!/(39 - 2)!×2!)/52!/(52 - 6)!×6!

= (13!/9!×4!)×(39!/37!×2!)/(52!/46!×6!)

= (13×12×11×10)/(4×3×2)×(39×38)/2)/(52×51×50×49×48×47)/(6×5×4×3×2)

= (529815)/(20358520)

= 0.026.

Similarly, the probability of choosing 2 red face card is given by

=([tex]^6C_2[/tex]×[tex]^4^6C_4[/tex])/([tex]^5^2C_6[/tex])

=[ [(6! / (2!.4!)] × [46! / (4!.42!)] ]/ [52! / (6!.46!)]

=(15×163185)/20358520

=0.1202.

Hence, the probability of choosing 4 spades and 2 cards by carrie that are not spades is 0.026 and the probability of choosing 2 red face cards by carrie is 0.1202.

To know more about probability, visit here:

https://brainly.com/question/11234923

#SPJ4

Answer:

y=-4x-4

Step-by-step explanation:

we know the slope so put it in the slope intercept form

y=-4x

Now fill it in to find y intercept with the coordinates

0=-4(-1)

0=4

We need to subtract 4 to make this equation true so the y intercept is -4

The equation will become

y=-4x-4

Hopes this helps please mark brainliest

The equation of the line parallel to 3x+3y=6 that passes through the point (7,-1) is  y = -x + 8

The equation of a line can be represented as follows:

y = mx + b

where

The lines that are parallel have the same slopes.

Therefore, let's find the slope of the equation 3x+3y=6.

3x + 3y = 6

3y = - 3x + 6

divide through by 3

y = - x + 2

Therefore, the slope is - 1.

Let's find the y-intercept of the equation using (7, 1)

y = - x + b

1 = - 7 + b

b = 8

Therefore, the equation of the line is y = -x + 8

learn more on equation of a line here: https://brainly.com/question/9317111

#SPJ1

The area of the painting is 289 [tex]inches^{2}[/tex].

Given:

A square painting has a side length of 17 inches.

we know that,

Area of square = side * side.

= 17 inches * 17 inches

= 289 [tex]inches^{2}[/tex].

Therefore the area of the painting is 289 [tex]inches^{2}[/tex].

Learn more about the area and square here:

https://brainly.com/question/1658516

#SPJ1

The probability is 0.1.

acc to our question-

Hence,The probability is 0.1.

learn more about probability here:

https://brainly.com/question/13604758

#SPJ13

The equation which passes through (3,2) and slope 1/3 is:

y - 2 = 1/3 (x - 3)

Given, we have:

slope (m) = 1/3

Point = (3,2) = (x₁,y₁)

we are asked to determine the point slope form :

we know that:

point slope form:

y-y₁ = m(x-x₁)

substitute the above values in the formula:

y - 2 = 1/3 (x - 3)

Hence the correct option is B.

Learn more about point slope form here:

brainly.com/question/6497976

#SPJ9

By factorizing algebraic expression 30 - [tex]6x^3[/tex] using a common factor, the result will be option (A) 2(15 - [tex]3x^3[/tex])

The expression is given,

30 - [tex]6x^3[/tex]

The expression is the mathematical sentence that consist of different types of variables, numbers and the mathematical operators. The mathematical operators will be addition, subtraction, division and multiplication. The expression does not contains a equal sign or inequality signs

The expression is given,

30 - [tex]6x^3[/tex]

Take a common term outside

Here the common term is 2

30 - [tex]6x^3[/tex]  = 2((30/2) - [tex]6x^3[/tex] /2)

= 2(15 - [tex]3x^3[/tex])

Hence, by factorizing algebraic expression 30 - [tex]6x^3[/tex] using a common factor, the result will be option (A) 2(15 - [tex]3x^3[/tex])

Learn more about factorizing here

brainly.com/question/26923098

#SPJ1

The null hypothesis is rejected thus there is a significant difference in the incidence of lung cancer in all four groups.

When the p-value is less than 0.05, the null hypothesis that there is no difference between the means is rejected, and we come to the conclusion that there is a significant difference. The existence of a significant difference cannot be inferred if the p-value is higher than 0.05.

The null hypothesis in the given scenario was that all four groups will have the same incidence rate of lung cancer which is rejected.

An assertion that there is no correlation between two population measures is referred to as a null hypothesis. To prepare the ground for additional experimentation or study that explains the position of interest, researchers reject or refute the null hypothesis.

For more information on the null hypothesis kindly visit on

https://brainly.com/question/28098932

#SPJ4

The money left with Dan is £30  .

In the question ,

it is given that

the amount of money earned by Dan in a week is = £240  .

amount of money spent by Dan on rent is = 3/4 wage

amount of money spent by Dan on food is = 1/8 of wage

So ,

the total amount spent = amount spent on food + amount spent on rent

Substituting the values ,

we get ,

= 3/4 + 1/8 = 7/8 of his wage = (7/8)*240

= 210

so , total amount spent is £210 .

Amount left = amount earned - amount spent

= 240 - 210
= 30

Therefore ,The money left with Dan is £30  .

The given question is incomplete , the complete question is

Dan spends 3/4 of his wages on rent and 1/8 on food. If he makes £240 per week, how much money does he have left?

Learn more about Equation here

https://brainly.com/question/12219451

#SPJ1