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3 years ago

HEEELLPPPP PLZ ASAP!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (4, 5) and (-3, -1). Substitute:

$m=\dfrac{-1-5}{-3-4}=\dfrac{-6}{-7}=\dfrac{6}{7}\\\\y-(-1)=\dfrac{6}{7}(x-(-3))\\\\\boxed{y+1=\dfrac{6}{7}(x+3)}$

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Write the equation of the line perpendicular to y=5/6x+2/3 that passes through the point (-3,5)

Anton [14]

Answer:

y=-6/5x+7/5

Step-by-step explanation:

1. Take opposite reciprocal of slope from 5/6 -> to -6/5

2. Plug in points with the new slope into point slope form and solve for slope intercept form. y=-6/5x+7/5

5 0

3 years ago

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

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3 years ago

The coordinate plane shows dig sites for archaeological research. Each unit on the grid represents 1 square foot. What is the di

Irina-Kira [14]

Answer:50square feet

Step-by-step explanation:

8 0

3 years ago

HELP ASAP !!!! I really need it thank youuu

Alborosie

The exterior angles should be A & C

7 0

3 years ago

Which region represents the solution to the given system of inequalities?

Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of inequalities:

$\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.$

We need to graph the lines.

We have the line:

$x+3y=-3$

Solving for "y", we get:

$3y=-x-3\\\\y=\frac{1}{3}x-1$

Knowing that $m=-\frac{1}{3}$ and $b=-1$ , we can graph it.

Since the symbol is $\leq$ , the line must be solid.

The other line is:

$x=3$

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is $\geq$ , the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

$0+3(0)\leq-3\\\\0\leq-3$

This is false, therefore, we must shade the half that does not contain this point.

$0\geq 3$

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0

3 years ago

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