Point H(x,y) moves 12 units left and 4 units up. What is a rule that describes this translation?

the annual interest rate on a credit card is 14.99% . If the minimum payment of 40$ is made each month, how many months will it

zmey [24]

Answer:

Let's try and figure it out yearly:

So for the first year the deposits would amount to 40 * 12 = $480

Now since the interest rate is applied yearly we will assume that the interest rate will be applicable to the amount that is left after the first year of deposits

So that would be 889.98 - 480 = 409.98

409.98 * 14.99 % = 61.45

The new amount owed for the second year would be 409.98 + 61.45 = 471.43

So by the end of the second year the debt would of been wiped clean with $8.57 to spare.

So the answer would be 24 months

Step-by-step explanation:

6 0

3 years ago

I NEED HELP! Write an equation in standard form of the line

nadezda [96]

Answers:

First box = 1
Second box = -5
Third box = -15

This forms the equation 1x-5y = -15, which is the same as x-5y = -15

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Explanation:

Let's find the slope. I'll pick the first two rows to form the two points needed

(x1,y1) = (0,3)

(x2,y2) = (10,5)

These are then plugged into the slope formula.

m = slope

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

m = (5-3)/(10-0)

m = 2/10

m = 1/5

m = 0.2

The y intercept is b = 3 since this is the y value when x = 0.

With m = 0.2 and b = 3, we go from y = mx+b to y = 0.2x+3

Let's multiply both sides by 5 to turn that decimal value into a whole number. I'm picking 5 since 0.2 = 1/5

So we get

y = 0.2x+3

5y = 5*(0.2x+3)

5y = 5*0.2x+5*3

5y = x+15

Now let's get x and y together, but move that 15 to its own side

5y = x+15

x+15 = 5y

x = 5y-15

x-5y = -15

This is one way to write the equation in standard form.

Standard form is Ax+By = C, where A,B,C are integers. Some math textbooks insist that A > 0. In this case, A = 1, B = -5, and C = -15.

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

As a way to check, we can plug in (x,y) = (15,6) from the third row of the table to see that..

x-5y = -15

15-5(6) = -15

15 - 30 = -15

-15 = -15

This verifies the third row. I'll let you check the first two rows of the table to fully confirm this equation works.

8 0

3 years ago

Convert. {} {} minutes ==equals 888 hours 373737 minutes

soldi70 [24.7K]

9514 1404 393

Answer:

517 minutes

Step-by-step explanation:

There are 60 minutes in an hour, so 8×60 = 480 minutes in 8 hours.

In 8 hours 37 minutes, there are ...

480 min + 37 min = 517 minutes

5 0

3 years ago

Solve for f. 8 = 2f + 2

tiny-mole [99]

Answer:

f = 3

Step-by-step explanation:

8 = 2f + 2

-2 -2

6 = 2f

/2 /2

3 = f

5 0

3 years ago

I need help on 17 and 23 pls

ludmilkaskok [199]

Question # 17 Solution

Answer:

$x_{1}= \frac{mx_{2}-y_{2}+y_{1}}{m}$

Step-by-step Explanation:

The given expression

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

And we have to solve for x₁

So,

Lets solve for x₁.

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Multiply both sides by x₂ - x₁

$m(x_{2}-x_{1})= (x_{2}-x_{1})\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m(x_{2}-x_{1})= (y_{2}-y_{1})$

$mx_{2}-mx_{1}= (y_{2}-y_{1})$

$-mx_{1}= y_{2}-y_{1}-mx_{2}$

Divide both sides by -m

$\frac{-mx_{1}}{-m}= \frac{y_{2}-y_{1}-mx_{2}}{-m}$

$x_{1}= \frac{mx_{2}-y_{2}+y_{1}}{m}$

Therefore, $x_{1}= \frac{mx_{2}-y_{2}+y_{1}}{m}$

Question # 23 Solution

Answer:

$n= \frac{bx}{-b + x}$

Step-by-step Explanation:

The given expression

$\frac{nx}{b}-x=x$

And we have to solve for n

So,

Let's solve for n.

$\frac{nx}{b}-x=x$

Multiply both sides by b.

$-bn + nx = bx$

Factor out n.

$n(-b + x)= bx$

Divide both sides by -b + x.

$\frac{n(-b + x)}{-b + x}= \frac{bx}{-b + x}$

$n= \frac{bx}{-b + x}$

Therefore, $n= \frac{bx}{-b + x}$

Keywords: solution, equation

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6 0

4 years ago