Last month John had $240 in his savings account. He got money for his birthday and now he has $320. What is the percent of change for his account? ​

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[tex] \bf \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]

[tex] \bf \implies \: \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]

[tex] \bf \implies \: \frac{10x - 3x}{4} = 14 + 7[/tex]

[tex] \bf \implies \: \frac{7}{4} x = 21[/tex]

[tex] \bf \implies \: 7x = 21 \times 4[/tex]

[tex] \bf \implies \: x = \frac{21 \times 4}{7} [/tex]

[tex] \bf \implies \: x = 3 \times 4[/tex]

[tex] \bf \implies \: x = 12[/tex]

ᴏᴘᴛɪᴏɴ (ᴅ) x = 12 ɪs ʏᴏᴜʀ ᴄᴏʀʀᴇᴄᴛ ᴀɴsᴡᴇʀ

[tex]{\huge{\underline{\small{\mathbb{\blue{HOPE\:HELPS\:UH :)}}}}}}[/tex]

Answer:

Greater than 4.256

Step-by-step explanation:

Because 24 is a whole number and so is the 4 in 4.256. So Because 24 is larger than 4 it is automatically greater than 4

Answer:

4.5%

Step-by-step explanation:

Equation that models this:

M(t) = 1000 * (1 + INTEREST)^t

Plugging in t= 10 years, gives

1553 = 1000 (1+interest)^10

solving for interest gives: 0.045 which is 4.5%

Answer:

-18/3

Step-by-step explanation:

Multiply the denominator and numerator by the same whole number.

Answer:

y = 1/2x - 6

Step-by-step explanation:

Here, we want to get the equation of the line that passes through the given points

Mathematically we can write the equation of a line as;

y = mx + b

where m is slope and b is the y-intercept

We start by getting the slope

m = (y2-y1)/(x2-x1)

m = (-1+5)/(10-2) = 4/8 = 1/2

So we have the equation partially as;

y = 1/2x + b

to get c, we use any of the two points and substitute the individual x and y values

-1 = 1/2(10) + b

-1 = 5 + b

b = -1-5 = -6

so the equation is;

y = 1/2x - 6

Answer:

10% is ur answer

Step-by-step explanation:

Answer:

The midpoint is (3,3)

Step-by-step explanation:

The answer would be C=10d+12

Hope this helps

Have a great day/night

The total cost for the guitar lessons includes an initial cost fee which is

added to the unit cost.

Where the cost of 7 lessons is a and the cost of 11 lessons is b, we have

Where the cost for 7 lessons is $82, and the cost of 11 lessons is $122, we have;

Reasons:

The general equation for the total cost of lessons is;

Let a represent the cost of 7 guitar lessons, and let b represent the cost of

9 guitar lessons, given that the cost increases linearly with the number of

lessons, we have;

The cost increase per lesson = The slope of the linear function representing the total cost of a guitar lesson

Therefore;

[tex]\displaystyle Slope = \frac{b - a}{11 - 7} = \mathbf{\frac{b - a}{4}}[/tex]

Expressing the equation in the slope and intercept form, we have;

[tex]\displaystyle (y - a) = \frac{b - a}{4} \cdot (x - 7)[/tex]

[tex]\displaystyle y = \frac{b - a}{4} \cdot x - 7 \times\frac{b - a}{4} + a = \frac{b - a}{4} \cdot x+ \frac{11\cdot a - 7 \cdot b}{4}[/tex]

[tex]\displaystyle y = \frac{b - a}{4} \cdot x+ \frac{11\cdot a - 7 \cdot b}{4} = \mathbf{\frac{1}{4} \cdot ((b - a) \cdot x + 11 \cdot a - 7 \cdot b)}[/tex]

Where, in a similar question, a = $82, b = $122, we have;

[tex]\displaystyle y = \frac{1}{4} \cdot(122 - 82) \cdot x+ \frac{1}{4} \cdot (11\times 82 - 7 \times 122)= 10 \cdot x + 12[/tex]

y = 10·x + 12

The total cost of a lessons is; y = 10 × 1 + 12 = 22

Learn more about linear relationships here:

https://brainly.com/question/2154877

Answer:

[tex]3 \boxed{ + }12 \boxed{ \div }4 = 3 + \frac{12}{4} = 3 + 3 = 6[/tex]

hope this helps.

Answer:

42

Step-by-step explanation:

4+3=7

7x6 = 42

Answer:

f(x) = 3x + 8 is the required linear function.

Step-by-step explanation:

We know that the slope-intercept form of linear equation is

y  = mx+b

here

Given initial value

f(0) = 8

Thus, the y-intercept = b = 8

Also given

at x = 4, f(4) = 20

so

substituting the point (4, 20) and y-intercept b=8 in the slope-intercept form to determine the slope

y = mx+b                        

20 = m(4) + 8

20 = 4m + 8

4m = 20-8

4m = 12

Dividing both sides by 4

m = 3

Thus, the slope = m = 3

Now, substituting m = 3 and b = 8 in the slope-intercept of linear function

y = mx+b

y = 3x + 8

or

f(x) = 3x + 8

Thus,

f(x) = 3x + 8 is the required linear function.

VERIFICATION:

Given the linear function

f(x) = 3x + 8

plug in x = 0

f(0) = 3(0) + 8

f(0) = 8

plug in x = 4

f(x) = 3x + 8

f(4) = 3(4) + 8

f(4) = 12+8

f(4) = 20

Answer:

2

Step-by-step explanation:

there are two points where it touches

Answer:

3 roots

tho using the fundamental theorem of algebra there should be more, if you use Desmos,there are 5

Step-by-step explanation:

Answer:

h(2) = 5.2 + 1 = 10 + 1 = 11

Answer:

Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week

Step-by-step explanation:

Answer:

Step-by-step explanation:

Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week

Answer:

$5 is 100% of $5.

Answer:

$5 is 100% of $5

Step-by-step explanation:

Putting this into fraction format, it would be 5/5 = 1 . if that fraction turned out to be less than 1, whatever the number was that would be the percent. But this came out as 1 therefore saying that $5 is 100% of $5

Answer:

6$

Step-by-step explanation:

6$ I'm probably looking at this wrong, but it does estimates towards 6. If I'm right then, with the 60% They boost the hats price by 60% (ofc).

if that was the question. the the answer must be 6$. I think, I calculated discount, welp,

Answer:

False

Step-by-step explanation:

Trust me

False statement the angle of depression is the angle formed is not above the horizontal line​.

The angle of depression is defined as the angle obtained by any object below the horizontal line which is used as the reference line.

Here in the question, they are asking The angle of depression is the angle formed above the horizontal line​ this statement is true or false.

If you will follow the above definition of the angle of depression you will see that the given statement is false.

To know more about the angle of depression follow

https://brainly.com/question/10217662

#SPJ2

Answer: The answer is B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

The answer should be 3×1+5=8

Step-by-step explanation:

prove me wrong

Answer:

8

Step-by-step explanation:

AC means 3 times 1 which is 3. B equals to 5. 3 plus 5 equals to 8.

Answer:

A= 41°   a=9.84...  b=11.32...

Step-by-step explanation:

given B = 49° and C = 90°

and A + B + C = 180

so  49+90+A=180

A= 41°

we also know c (small)  is 15 units

and maybe you know this  SOH CAH TOA?   no, i'm not calling anyone names :P  this is just the mnemonic to memorize how sin , cos and tan fit sin(Ф)=Opp/Hyp   Cos(Ф)=Adj/Hyp  Tan(Ф)=Opp/Adj

Hyp is the hypontenuse of the triangle ( the long side). Opposite (Opp) means the side opposite from what ever angle you are starting at..adjacent (Adj) means what ever angle is next to where you are starting from.

use Cos(49) to find the side a

a is an adjacent side to the 49 angle.  We know the Cos and we know the Hyp .. so solve for adj...  

Cos(Ф)=Adj/ Hyp

Hyp*Cos(Ф)=Adj    

15*Cos(49)= Adj

9.84...=Adj=a

now lets' use sin for the opposite side or b

sin(Ф)=Opp/Hyp

Hyp*Sin(Ф) = Opp

15*sin(49)= Opp

11.32...= Opp =b

Answer:

7/16

Step-by-step explanation:

3/8=6/16

6/16 + 1/16 = 7/16

Answer:

Step-by-step explanation: $6 dollars times 5 equals 30.00 dollars. So Andre made 30.00 dollars from work, and 30.20 dollars.

Answer:

the answer is C

Step-by-step explanation:

Answer:

first is correct

second should be

4a² + 5a

Answer:

1.A

2.D

3.C

4.C

Step-by-step explanation: