Micah is saving to buy a new guitar and every month is putting $45 from his paycheck into his savings
account. He has already saved $120. How many more months will it take before he has enough to buy
the guitar if it costs $415?

Answer:

the answer is 16 im pretty sure

Answer:

(x,y)

Step-by-step explanation:

On point 0 you would go right 5 times and up 6

Answer:

45 :)

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

5x + 3 -2x = 2(x + 1) >>> Simplify by combining terms

3x + 3 = 2x + 2 >>> Subtract 2x and 3 from both sides

x = -1

Answer:

Therefore, the values of "x" and "y" are -1000/312 and -115/39 respectively.

Step-by-step explanation:

[tex] \sf \leadsto 8x - 7y = -5 - - - (i)[/tex]

[tex] \sf \leadsto -x + 4y = -15 - - - (ii)[/tex]

By first equation,

[tex] \sf \leadsto 8x - 7y = -5[/tex]

[tex] \sf \leadsto 8x = -5 + 7y[/tex]

[tex] \sf \leadsto x = \dfrac{-5 + 7y}{8} [/tex]

Now, we can find the original value of y.

[tex] \sf \leadsto -x + 4y = -15[/tex]

[tex] \sf \leadsto \bigg( \dfrac{-5 + 7y}{8} \bigg) + 4y = -15[/tex]

[tex] \sf \leadsto \dfrac{-5 + 7y}{8} + 4y = -15[/tex]

[tex] \sf \leadsto \dfrac{-5 + 7y + 32y}{8} = -15[/tex]

[tex] \sf \leadsto \dfrac{-5 + 39y}{8} = -15[/tex]

[tex] \sf \leadsto -5 + 39y = -15(8)[/tex]

[tex] \sf \leadsto -5 + 39y = -120[/tex]

[tex] \sf \leadsto 39y = -120 + 5[/tex]

[tex] \sf \leadsto 39y = - 115[/tex]

[tex] \sf \leadsto y = \dfrac{ - 115}{39} [/tex]

Now, we can find the original value of x.

[tex] \sf \leadsto 8x - 7y = -5[/tex]

[tex] \sf \leadsto 8x -7 \bigg( \dfrac{ - 115}{39} \bigg) = -5[/tex]

[tex] \sf \leadsto 8x + \dfrac{805}{39} = -5[/tex]

[tex] \sf \leadsto \dfrac{312x + 805}{39} = -5[/tex]

[tex] \sf \leadsto 312x + 805 = -5(39)[/tex]

[tex] \sf \leadsto 312x + 805 = -195[/tex]

[tex] \sf \leadsto 312x = -195 - 805[/tex]

[tex] \sf \leadsto 312x = -1000[/tex]

[tex] \sf \leadsto x = \dfrac{-1000}{312} [/tex]

[tex]\textsf {\underline{Answer-}}\\[/tex]

Therefore, the values of x and y are -1000/312 and -115/39 respectively.

1/2 or 50% because each flip of a coin is independent from the last and a fair coin has an equal probably of landing on either side.

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

The slope formula gives the slope between two points:

  m = (y2 -y1)/(x2 -x1)

  -2 = (-2 -0)/(3 -k)

Multiplying by (3 -k) gives ...

  -2(3 -k) = -2

  3 -k = 1

  k = 3 -1 = 2

The value of k is 2.

Answer:

Yes, because momentum is conserved in all inelastic collisions which all car accidents are

Step-by-step explanation:

What is law of conservation of momentum?

It states that In a equilibrium the initial momentum is equal to to the final momentum of the body

Or

[tex]\\ \sf\longmapsto \Delta P=P[/tex]

Answer:

• Yes, because momentum is conserved in all collisions.

Step-by-step explanation:

→ Elastic collision, inelastic collision and perfectly inelastic collision, linear momentum is conserved assuming no external forces acting on the system.

In elastic collision

[tex] \dashrightarrow \: { \tt{m _{1}u _{1} + m _{2} u_{2} = m_{1}v_{1} + m_{2}v_{2}}} \\ [/tex]

In inelastic collision

[tex] \dashrightarrow \: { \tt{m_{1}u_{1} + m_{2}u_{2} = (m_{1} + m_{2})v}}[/tex]

Answer:

5 in

Step-by-step explanation:

5in*5in = 25in ^2

Answer:

[tex]y = mx + c \\ 7 = 3m + c \\ 5= - 3m + c \\ 2c = 12 \\ c = 6 \\ 7 = 3m + 6 \\ 3m = 1 \\ m = \frac{1}{3} \\ y = \frac{1}{3} x + 6[/tex]

Answer:

1400

Step-by-step explanation:

1432 is closer to 1400 than 1500 because it ends in 32 and is below 50 on the number line

Answer:

Step-by-step explanation:

1 3/14 divided by 1/8

17/14x8

17x4/7

68/7

9 5/7

Answer:

0.45 miles per minute

Step-by-step explanation:

Answer:

16.5 minutes

Step-by-step explanation:

2508/152 = 16.5

Check: 152 x 16.5 = 2508

Answer:

5/12

Step-by-step explanation:

opposite is on the other side of the number line. 5/12 is the answer

Answer:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Step-by-step explanation:

The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:

x + y = 28

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

Now solve equation B for x to get the revised equation B:

x - y = 6

x = 6 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 28

6 + y + y = 28

6 + 2y = 28

2y = 22

y = 11

Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:

x + y = 28

x + 11 = 28

X = 17

Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Answer:

17 +11 = 28

hope this helps

Answer:AB = 5/2 and CD = 2/-5, perpendicperpendicular

Step-by-step explanation:

0+5 = 5

2+2=4

1+2=3

8-5=3

Answer:

b=-17

Step-by-step explanation:

1) add common terms aka 5 and 12, which is 17

b+17=0

2) move seventeen to the other side by doing the opposite opperation of addition which is subtraction

b=-17

Answer:

1018.600 I think SORRY IF I'M WRONG!!!

Step-by-step explanation:

Answer:

1018.620 and u r correct my guy

Answer:

7

Step-by-step explanation:

f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.

Answer:

Example 1 is 25%

Example 2 is 3.5%

Example 3 could be $10,464.41  See attached.

Step-by-step explanation:

Example 1

An increase of sales to $9,500 is an increase of:

Sales increase = ($9,500 - 7,600) / $7,600

Sales increase = .25, or 25%

Assuming costs and assets increase proportionally, the pro forma financial statements will look like this:

Pro forma income statement Pro forma balance sheet

Sales $ 9,500.00 Assets $ 23,875.00 Debt $ 7,000.00

Example 2.

Return on equity (ROE) is a measure of financial performance calculated by dividing net income by shareholders' equity. Because shareholders' equity is equal to a company’s assets minus its debt, ROE is considered the return on net assets. ROE is considered a gauge of a corporation's profitability and how efficient it is in generating profits.

Example below given on 2nd example is 60% payout ratio type question with constant debt equity ratio.

Return on equity 34008 / 90400 = 0.37619469

A / S = $ 34,008 / $ 90,400 = 37.6%

L / S = $ 9,040 / $ 90,400 = 10%

Change in Sales or ΔSales = $ a - $ 90.400 = $ b

EFN = (.376 x $ b) - (.10 x $ b ) - ((profit margin x $ a) x (1 - .dividend payout ratio))

Formula EFn = 0 = full subtraction of EFN

Example 3 - Calculation of the EFN:

Total Assets last year = $ 6.5 Million

Total Sales last year = $ 21.0 Million

Total Current Liabilities last year = $ 2.1 Million

Profit Margin = 4% of sales

Forecasted Sales = $ 24.5 Million

Dividend Payout Ratio or d = 60%

A / S = $ 6.5 / $ 21.0 = 31%

L / S = $ 2.1 / $ 21.0 = 10%

Change in Sales or ΔSales = $ 24.5 - $ 21.0 = $ 3.5

EFN = (.31 x $ 3.5) - (.10 x $ 3.5) - ((.04 x $ 24.5) x (1 - .60))

EFN = $ 1.085 - $ .35 - ($ .98 x .40)

EFN = $ .735 - $ .392

EFN = $ .343

Answer: 4.3 × 10^6 meters, and 4.3 × 10^9 millimeters.

Explanation: In order to find the scientific notation of a large number, you want to move the decimal point to the left until you only have one digit to the left of the number, then you can count the spaces you have moved, and this will make the power of 10 that you'll add to the end. This seems a little confusing, but let's look at it through the example.

Step 1) Move the decimal point to the left until there's only one digit to the left of the decimal:

4,300,000 turns into 4.300000

Step 2) Count the number of digits you've moved.

Above, we moved 6 spaces to the left.

Step 3) Add the decimal to the front, and then 10^the number of spaces you moved

4.3 (from step one) × 10^6 (from step two)

= 4.3 × 10^6

It works the same way for the millimeter question, just convert meters into millimeters before you start the problem, and then solve it using the steps above! I hope this helped you :)

The scientific notation in meters and millimeters are

- 4.3 x [tex]10^{6}[/tex] meters

- 4.3 x [tex]10^{9}[/tex] millimeters

It is a way of writing very large or very small numbers where a number between 1 and 10 is multiplied by a power of 10.

Example:

310,000,000 can be written in scientific notation as 3.1 ✕ 10^8.

We have,

Distance = 4,300,000 meters

1 meter = 1000 millimeters

So,

4,300,000 meters = 4,300,000,000 millimeters

We can write 4,300,000 in scientific notation as:

= 4.3 x [tex]10^{6}[/tex] meters

We can write 4,300,000,000 millimeters in scientific notation as:

= 4.3 x [tex]10^{9}[/tex] millimeters

Thus the scientific notation in meters and millimeters are

- 4.3 x [tex]10^{6}[/tex] meters

- 4.3 x [tex]10^{9}[/tex] millimeters

Learn more about scientific notations here:

https://brainly.com/question/18073768

#SPJ2

Answer: plug 32 in for m

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

2.5 times 84 = 210

Answer: a

Step-by-step explanation:

Answer:

f(0)=0

Step-by-step explanation:

Answer:

92 more miles (D)

Step-by-step explanation:

I believe the answer is 92 more miles (d). So we know that Mr Klein is driving at a steady 60 miles per hour for 42 minutes. There are 60 minutes in an hour, so every minute they've driven a mile. Therefore, in 42 minutes, they've driven 42 hours. And then 134 - 42 is equal to 92, which is your final answer.

Hope this helped!! :D

To find the y-value that matches with the x-value, we will need to plug in the x-value and simplify the expression.

f(-2) = sqrt(-2 + 2) - 6

f(-2) = sqrt(0) - 6

f(-2) = -6

f(-1) = sqrt( -1 + 2) - 6

f(-1) = sqrt(1) - 6

f(-1) = 1 - 6

f(-1) = -5

f(2) = sqrt(2 + 2) - 6

f(2) = sqrt(4) - 6

f(2) = 2 - 6

f(2) = -4

f(7) = sqrt(7 + 2) - 6

f(7) = sqrt(9) - 6

f(7) = 3 - 6

f(7) = -3

Hope this helps!! :)

Answer:

es 56,000.

Step-by-step explanation: