Can someone please please help with these questions?

Gary earns $42,990 per year he is paid weekly he currently has a $456 per month car loan payment and he pays $1277 per year for

Ber [7]

Answer:

Yes

Step-by-step explanation:

There are about 52 weeks in a year, 42,990 ÷ 52 = 826.73076 ,

1277 ÷ 12 = 106.41666

826.73076 - 106.41666 = 720.3141

720.3141 - 456 = 264.3141

8 0

3 years ago

PQ has endpoints P(-4, -2) and Q(-6, 8). What is the length of segment PQ in simplest radical form?

harina [27]

Answer:

The answer is

<h2> $2 \sqrt{26} \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points of a line segment can be found by using the formula

$d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(-4, -2) and Q(-6, 8)

The length of the line segment is

$|PQ| = \sqrt{ ({ - 4 + 6})^{2} + ({ - 2 - 8})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 10})^{2} } \\ = \sqrt{4 + 100} \\ = \sqrt{104} \: \: \: \: \: \: \: \\ = 2 \sqrt{26} \: \: \: \: \: \: \:$

We have the final answer as

$2 \sqrt{26} \: \: \: \: units$

Hope this helps you

6 0

3 years ago

Find the line integral with respect to arc length ∫C(9x+5y)ds, where C is the line segment in the xy-plane with endpoints P=(2,0

Gemiola [76]

(a) You can parameterize C by the vector function

r(t) = (x(t), y(t) ) = P (1 - t ) + Q t = (2 - 2t, 7t )

where 0 ≤ t ≤ 1.

(b) From the above parameterization, we have

r'(t) = (-2, 7) ==> ||r'(t)|| = √((-2)² + 7²) = √53

Then

ds = √53 dt

and the line integral is

$\displaystyle\int_C(9x(t)+5y(t))\,\mathrm ds = \boxed{\sqrt{53}\int_0^1(17t+18)\,\mathrm dt}$

(c) The remaining integral is pretty simple,

$\displaystyle\sqrt{53}\int_0^1(17t+18)\,\mathrm dt = \sqrt{53}\left(\frac{17}2t^2+18t\right)\bigg|_{t=0}^{t=1} = \boxed{\frac{53^{3/2}}2}$

6 0

3 years ago

A trapezoid is made of a square with side lengths of 7 feet and an isosceles right triangle whose base and height are both 7 fee

SVETLANKA909090 [29]

Check the picture below.

7 0

3 years ago

In a jury trial, suppose the probability the defendant is convicted, given guilt, is 0.95, and the probability the defendant is

Artyom0805 [142]

Answer:

The probability of the defendant is innocent given the defendant is convicted is P=0.006.

Step-by-step explanation:

Being:

G: guilty, I:innocent, C: convicted, A: acquitted.

We need to calculate P(I|C).

Being innocent, given convicted, is equal to the probability of being innocent and convicted divided by the probability of being convicted (innocent or guilty)

$P(I|C)=\frac{P(I\&C)}{P(C)}$

The probability of being innocent and convicted is

$P(I\&C)=P(C|I)*P(I)=0.05*0.1=0.005$

The probability of being convicted is equal to the sum of P(I&C) and P(G&C)

$P(C)=P(I\&C)+P(I\&C)=P(C|I)*P(I)+P(C|G)*P(G)\\\\P(C)=0.005+0.95*0.90=0.005+0.855=0.86$

Then,

$P(I|C)=\frac{P(I\&C)}{P(C)}=\frac{0.005}{0.86}= 0.006$

6 0

3 years ago