Work out the equation of the line which has a gradient of 3 and
passes through the point (-2, 4).​

Answer:

C) Loan F's effective rate will be 0.302 percentage points lower than Loan G's

Step-by-step explanation:

Formula for effective rate is;

r_eff = [1 + (r/n)]^(n) - 1

Where;

r is interest rate

n is the number of compounding periods per year

Loan F has a nominal interest rate of 5.66%, compounded monthly

Thus: r_eff = [1 + (0.0566/12)]^(12) - 1 = 0.0581

Loan G has a rate of 6.02%, compounded semiannually.

Thus;

r_eff = [1 + (0.0602/2)]^(2) - 1 = 0.0611

Differece = 0.0611 - 0.0581 = 0.003

Converting to percentage gives : 0.003 × 100 = 0.3%

Thus,correct answer is option C

Answer:

C. Loan F’s effective rate will be 0.302 percentage points lower than Loan G’s.

Step-by-step explanation:

Answer:

Water temperature in an ocean varies inversely to the water’s depth. Between the depths of 250 feet and 500 feet, the formula

T

=

14

,

000

d

gives us the temperature in degrees Fahrenheit at a depth in feet below Earth’s surface. Consider the Atlantic Ocean, which covers 22% of Earth’s surface. At a certain location, at the depth of 500 feet, the temperature may be 28°F.

The related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]

For inverse variation, if a is inversely proportional to b. This is expressed as:

[tex]a \alpha \frac{1}{b}[/tex]

Introducing the constant of variation will give;

[tex]a=\frac{k}{b}[/tex]

Applying the concept to the question:

If the temperature t at which water boils is inversely proportional to the number of feet F, this is expressed as:

[tex]t \alpha \frac{1}{F}[/tex]

[tex]t=\frac{k}{F}[/tex]

Hence the related variation equation where k is the constant of proportionality is [tex]t=\frac{k}{F}[/tex]

Learn more here: https://brainly.com/question/2798700

Answer:

4:9 or 4/9

Step-by-step explanation:

4/9 is the simplified version of 24/54.

Answer:

4:9 or 4/9

Step-by-step explanation:

because when we cut of the number in simpler form so this answer comes.

Answer:

4 times 3 equals 12 minus 1 is 11/12  the one you chose is right i hope you dont fail algebra cuz of me

Step-by-step explanation:

Answer: Dried apricots are less expensive they are $8.75

Step-by-step explanation: I divided 21.98 by 2 and got 10.99 then I divided 26.25 by 3 and 8.75 which makes dried apricots less expensive

Answer: 40

Reason: Okay, so we can see that the line is travelling in a straight line. When we look closely at the graph, we can see that for every two minutes, it makes 80 bottles, and so on and so fourth. We know it makes 80 bottles in two minutes, so let's divide it by two to find out how many bottles it makes in one minute. (Equation for this = 2x = 80) After dividing, we find out that the machine makes 40 bottles per minute

Check: 40 bottles, and multiply it by 2, and we get 80 bottles per two minutes, and that's correct.

I hope this helps, and Happy Holidays!

Answer:  speed = 17m/s

              time taken = 3min = 3 x 60 = 180 seconds   (1min = 60sec)

distance = ST

               = speed x time

                = 17 x 180

= 3060m

pls mark as the brainliest

^_^

Answer:

Yo

Merry Christmas and have a great day onwards

and thank you ❤

Answer:

thanks a lot friend!!!

Step-by-step explanation:

.......

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

Given:

a and b are two legs of a right triangle and c is hypotenuse.

a=3 and c=5

To find:

The value of b.

Solution:

According to the Pythagoras theorem,

[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]

Using Pythagoras theorem, we get

[tex]c^2=(a)^2+(b)^2[/tex]

Now, putting a=3 and c=5, we get

[tex]5^2=(3)^2+b^2[/tex]

[tex]25=9+b^2[/tex]

[tex]25-9=b^2[/tex]

[tex]16=b^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{16}=b[/tex]

[tex]\pm 4=b[/tex]

The measure of side of a triangle cannot be negative. So, only value of b is 4.

Therefore, the value of b is 4.

Answer:

Step-by-step explanation:

Lets denote number of floor tickets by x and

Lets denote number of balcony tickets by y as shown in the figure in the question

so, floor tickets are sold for $15 each which means number of x tickets would be sold by $15 multiplied by x which means 15x and balcony tickets are sold for $12 each which means number of y tickets would be sold by $12 multiplied by y which means 12y furthermore it says they want to make at least $3000 which would mean they want to make at least $3000 or higher meaning ≥3000 so the inequality would be

a) [tex]15x+12y\geq 3000[/tex]

b) The ordered pair A we can see that A is the y-intercept which means the point A can also be written as (0 , y) so we put this point into our equation

15x + 12y = 3000 which is the boundary line. So here goes,

[tex]15x+12y=3000\\15(0)+12(y)=3000\\12y=3000\\y=3000/12\\y=250\\[/tex]

so our y-intercept is 250 which means Point A is (0 , 250)

c) They should  shade the area above the boundary line because in this context the band that is playing wants to make at least $3000 which means they want to make more than $3000 . So when a ≥ sign appear we shade the area above the boundary line and when the ≤ sign appears we shade the area below the boundary line. If it were in the question the bands wants to make at most $3000 then the ≤ would appear.

I have attached a graph to clearly visualize the solution as well.

Answer:

DF= 33

Step-by-step explanation:

The ratio is equal to 6:5:1 Which can be changed into 18:15:3

Since DE=18 and EF=15 you simply add and = 33

Answer:

df=33

Step-by-step explanation:

Answer:

133

Step-by-step explanation:

Answer:A + angle B + angle C = 180 degrees, we can find the measure of .

Step-by-step explanation:

Answer:

after 10 hours she made 150$

Step-by-step explanation:

:)

Answer:

The total amount made after working 10 hours would be $150

Answer:

-5/6+1/2=-2/6 = -1/3

hope it helps

Answer:

-0.33333333333

fraction= -1/3

any more help just ask :)

Answer:

-24

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Answer:

-1 < x

Step-by-step explanation:

-10 < x - 9

+9. +9

-1 < x

Answer:

Range - a  is y<k

Range + a is y>k

Doman always all real numbers

Step-by-step explanation:

Answer:

domain- always all real numbers

and im not too certain about the last 2 but im pretty sure that

range-a is less than or equal to whereas range+a is more than or equal to.

Answer: y=2x-3

Step-by-step explanation:

BASIC EQUATION: y=mx+b

m is slope

b is y intercept (where line intersects the y axis)

I = 0.2%

not sure lol

but it will be correct i hope so

Answer:

8 weeks

Step-by-step explanation:

You would subtract 565.95 from 205 to get 360.95 then divide it hy each number until you get to 46 and dividing by 8 equals this

Answer: 11.25 hours

Step-by-step explanation:

From the question, we are informed that every 3 days Ronnie spends 1.5 hours on homework and 2.25 hours on chores.

At this rate number of hours that he will spend on homework and chores in 9 days will be:

= 9/3 [1.5 hours on homework + 2.25 hours on chores]

= 3 [1.5 hours on homework + 2.25 hours on chores]

= 4.5 hours on homework and 6.75 hours on chores]

Total hours = 4.5 + 6.75 = 11.25 hours

Answer:

11.25

Step-by-step explanation:

Answer:

the valu of x is 15 .....

Given:

Original price of a TV = $499

Price increased by 15%.

To find:

The new price of the TV.

Solution:

According to the question,

New price of the TV = Original price + 15% of its original price.

[tex]\text{New price of the TV}=499+\dfrac{15}{100}(499)[/tex]

[tex]\text{New price of the TV}=499+74.85[/tex]

[tex]\text{New price of the TV}=573.85[/tex]

Therefore, the new price of the TV is $573.85.

Answer:

15. {1, 3, 5, 7}

16. nothing empty set { }

17. {0, 1, 2, 4, 5, 6, 7, 8, 10}

Step-by-step explanation:

the U means combining the sets that fit the criteria

the upside down U means what fits both criteria

for 16, it asks for contradicting criteria so there is nothing in the set.

please give thanks by hitting the like :)

and brainliest :)

Answer:

Step-by-step explanation:

Step-by-step explanation:

2+2=4

4+6=10

12+100=112

120×670=80,400