Write an equation of the line that passes through (2, 1) and is parallel to the line y=2x+7.

Answer: John would have $1371.33 more in his account than Jack.

Step-by-step explanation:

Formula to calculate amount after t years if compounded continuously:

[tex]A=Pe^{rt}[/tex]

Formula to calculate amount after t years if compounded quarterly:

[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= Principal amount, r= rate of interest.

Given: P= $7,600

t=19 years

For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]

For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]

Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]

[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]

Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]

[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]

Difference = 26290.77-24919.44 = $ 1,371.33

John would have $1371.33 more in his account than Jack.

Answer:668

Step-by-step explanation: I just did it.

Answer:

120 degrees

Step-by-step explanation:

RSM boi

but you actually have to get the values of the angles on the other side so

180-70=110

180-50=130

pretty simple from there

Answer:

120 deegress

Step-by-step explanation:

x + y = z

70 + 50 = x

x = 50+70 = 120

there are 1000 milligrams in 1 gram

Hope this helps

Answer:

Rewrite so x is on the left side of the inequality.

8 + 4.99x < 20

Move all terms not containing x to the right side of the inequality.

4.99x < 12

Divide each term by 4.99 and simplify.

x < 2.405

The result can be shown in multiple forms.

Inequality Form:

x < 2.405

Interval Notation:

( −∞ , 2.405 )

Step-by-step explanation:

Answer:

Both:

1

2

Inequality Only:

-4

3/4

2.3

Neither:

2.5

Answer:

(x+5)² = 16

Solution: -1 and -9

Step-by-step explanation:

Given the quadratic equation X^2+10x+22=13

Subtract 22 from both sides

X^2+10x+22-22=13-22

x^2+10x = -9

Complete the square

Add the square of half of coefficient of x to both sides

coefficient of x = 10

half of coefficient of x = 10/2 = 5

square of half of coefficient of x= 5² = 25

Add 25 to both sides

x²+10x + 25 = -9+25

(x+5)² = 16

Hence the required equation is (x+5)² = 16

(x+5)² = 16

square root both sides

√(x+5)² = √16

x+5  = √16

x +5 = ±4

x = +4 - 5 and -4-5

x = -1 and -9

Hence the solution to the equation is -1 and -9

Answer:g(x) = (x+3)/(x2-4)

The domain refers to all of the x values that the function can take on.  In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined.  We can factor the denominator of g(x) as follows:

g(x) = (x+3)/((x+2)(x-2)

The denominator will be zero when x = 2 or -2.  Otherwise, g(x) is defined on all other values of x.  So the domain of g(x) is "x = all x not equal to -2 or 2".  In interval notation, the domain is:

(-∞,-2)U(-2,2)U(2,+∞)

On a number line, draw it as follows:

-∞ <======o=====o=======> +∞

                   -2            2

Step-by-step explanation:

Answer:

E,F,B

Step-by-step explanation:

Answer:

A,C,E

Step-by-step explanation:

12/21= .571428571

4/7, 16/28 and 8/14 all result in this decimal

Answer:

4bb

Step-by-step explanation:

Answer:

4bb

Step-by-step explanation:

Because you need to combine like terms

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

(This is too easy)

Answer:

7- 110

11-70

about rest I don't know sorry

Answer:

also click the first choice. It has 10 sides.

Step-by-step explanation:

1440=(N-180)-360

N-180=1080

n=10 sides

Answer: The answers would be A

Step-by-step explanation- The sum of all angles in a decagon will always equal 1440 degrees. That is all. Plz mark brainliest?

Answer:

8

Step-by-step explanation:

Answer:

1/5 x 40 = 8

(Hope this helps! Btw, I am the first to answer.)

Answer:

6.65

Step-by-step explanation:

0.95% of 700

= 0.0095*700

= 6.65

The value of 0.95% of the number 700 is 6.65.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number 700 is 0.95%. The number will be calculated as below,

Number = 0.95% of 700

Number = 700 x 0.95/100

Number = 6.65

Therefore, the value of 0.95% of the number 700 is 6.65.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ6

Answer:

8s + 12

s=12-8

s=4

or

8s +12

s=12+8

s=20

Step-by-step explanation:

im not sure kung minus o plus kasi kung kinus mababa lang binayad nya

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

Answer:

y = 1x + 4

OR

y = x + 4

Step-by-step explanation:

Answer: 5/16

Step-by-step explanation:

Answer:

0.0125

Step-by-step explanation:

1/8=2/5x

Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.

Answer:

The second option

Step-by-step explanation:

c=[tex]\sqrt{16^{2} +12^{2} }[/tex]

c=20 m

Answer:

Step-by-step explanation:

Where are the equations to choose from?

14 pounds × (1 bag)/(¼ pound) = 56 bags

Answer:

(2+1×-3)(x) = 3×(-3)(x) =-9x

Answer:

(g · ƒ)(x) = –3x2 – 3

Step-by-step explanation:I took the test

Answer:

slope is -3

Step-by-step explanation:

m is the slope, this may have been a trick question.

by the points given the slope is 1

Answer:

answer 1. 12. 2nd is 2. and 3rd is 14pq

hope it helps

Answer:

7.76 × 10^8

Step-by-step explanation:

Answer:

i think i would be 1.94x10^8

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Answer:

The answer is 46...i cant find that answer in the choices though

Step-by-step explanation:

In PEMDAS we can see that we have parentheses first so we solve whatever is in the parentheses. which 3-2 = 1....so it should look like this

43 + 2 + 1

Which equals 46

hope this helps. have a good day

Answer: A. splitting water into hydrogen and oxygen

Step-by-step explanation:

Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.

Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.

A, splitting water into hydrogen

Answer:

x = 5

Step-by-step explanation:

4x + 2 = 2(x + 6)

4x + 2 = 2x + 12 (after you distribute the 2)

add and subtract like terms

4x - 2x = 12 - 2

2x = 10

x = 5

you can double check by substituting the x with 5 in the equation

4 (5) + 2 = 2(5 + 6)

20 + 2 = 2(11)

22 = 22

Answer:

you have to find the angels

Step-by-step explanation:

Answer:

x=-79/4, y=-45/8. (-79/4, -45/8).

Step-by-step explanation:

-2x+4y=17

3x-10y=-3

---------------

3(-2x+4y)=3(17)

2(3x-10y)=2(-3)

----------------------

-6x+12y=51

6x-20y=-6

------------------

-8y=45

y=45/-8=-45/8

3x-10(-45/8)=-3

3x+450/8=-3

3x+225/4=-3

3x=-3-225/4

3x=-12/4-225/4

3x=-237/4

x=(-237/4)/3

x=(-237/4)(1/3)

x=-237/12=-79/4

Answer:

[tex]y < 85 \div \div 9614 = 88[/tex]

Ты лоххх

Step-by-step explanation:

I have used substitution method here to find the value of x and y.