Find the semiannual payment for a 20 year endowpayment policy with face of $25,000 if the annual premium is $22.24 per $1,000

Answer:

Step-by-step explanation:

Just multiply the first equation by -1 and then add them together to find x. Should look something like

-2x - y = -7

5x + y = 9

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

3x + 0 = 2

x = 2/3

Now back substitute using either equation to find y. I'll use the first:

2(2/3) + y = 7

4/3 + y = 7

y = 7 - 4/3 = 21/3 - 4/3 = 17/3

Answer:

x=2/3

y=17/3

Answer:

x=-9/4, y=-27/4. (-9/4, -27/4).

Step-by-step explanation:

y=7x+9

2y+2x=-18

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

simplify 2y+2x=-18 into y+x=-9

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

7x+9+x=-9

8x+9=-9

8x=-9-9

8x=-18

x=-18/8

simplify

x=-9/4

y=7(-9/4)+9=-63/4+9=-27/4

Answer:

1655

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence

d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Here a₁ = - 4, d = 3 and n = 90, thus

[tex]S_{90}[/tex] = [tex]\frac{90}{2}[/tex] [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655

Answer:D

Step-by-step explanation:

Answer:

[tex]E(p)=51,450p+346,920[/tex]

Step-by-step explanation:

The function

[tex]m(p) = 175p + 1,180[/tex]

gives the mass of the car as a function of the number of passengers in it.

And the function

[tex]E(m) = 9.8m*h[/tex]

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

[tex]E(m) =9.8m*(30)[/tex]

[tex]E(m) =294m[/tex]

And to find the potential energy as a function of the number of passengers, we just substitute [tex]m(p)[/tex] into [tex]E(m)[/tex] to get:

[tex]E(m(p))=294(175p+1180)[/tex]

[tex]\boxed{ E(p)=51,450p+346,920}[/tex]

which gives the potential energy as a function of the number of passengers.

Answer:

its A on edge2021

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ratio=3:4

so,the pair of adjacent sides are 3x,4x

Pythagorean theorem,

[tex](3x)^{2}+(4x)^{2}=20^{2}\\9x^{2}+16x^{2}=400\\\\25x^{2}=400\\\\x^{2}=\frac{400}{25}\\\\ x^{2}=16\\\\x=\sqrt{16}\\\\x=4\\\\length=4x=4*4=16cm\\\\breadth=3x=3*4=12cm\\\\Perimeter=2*(l+b)\\\\=2*(16+12)=2*28\\\\=56cm[/tex]

Answer: You're given one leg. Because you know both legs are equal, you know the length of both the legs.

Step-by-step explanation:

You're given the hypotenuse. Divide the hypotenuse by the square root of 2 to find the legs (which are equal).

Answer:

[tex]Equation\ of\ line:\ y=\frac{1}{2}x-10[/tex]

Step-by-step explanation:

[tex]Let\ the\ required\ equation\ is\ y=mx+c\\\\where\ m\ is\ the\ slope\ of\ the\ equation\ and\ c\ is\ y-intercept\\\\It\ is\ parallel\ to\ the\ equation\ y=\frac{1}{2}x+3\\\\Hence\ slope\ of\ these\ two\ lines\ will\ be\ same.\\\\Slope\ of\ y=\frac{1}{2}x+3\ is\ \frac{1}{2}\\\\Hence\ slope\ of\ y=mx+c\ is\ \frac{1}{2}\Rightarrow m=\frac{1}{2}\\\\Equation:y=\frac{1}{2}x+c\\\\Line\ passes\ through\ (10,-5).\ Hence\ this\ point\ satisfies\ the\ equation\ of\ line.\\\\-5=\frac{1}{2}\times 10+c[/tex]

[tex]-5=-5+c\\\\c=-10[/tex]

[tex]Equation\ of\ line:\ y=\frac{1}{2}x-10[/tex]

Answer:

The mid point of the line segment is [tex]$ \bigg(- \frac{3}{2}, -\frac{3}{2} \bigg ) $[/tex].

Step-by-step explanation:

From the graph we can find the end points of the line segment. The end points are: [tex]$ (- 1, - 4) $[/tex] and [tex]$ (4, 1) $[/tex].

When the end points of a line segment are known, the mid point of the line segment is given by:

                                   [tex]$ \bigg ( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \bigg ) $[/tex]

where [tex]$ (x_1, y_1) $[/tex] and [tex]$ (x_2, y_2) $[/tex] are the end points.

Here: [tex]$ (x_1, y_1) = (- 1, - 4) $[/tex] and [tex]$ (x_2, y_2) = (4, 1) $[/tex]

Therefore, the mid point of the line segment would be:

[tex]$ \bigg ( \frac{- 1 + 4}{2}, \frac{- 4 + 1}{2} \bigg) $[/tex]

[tex]$ \bigg(- \frac{3}{2}, -\frac{3}{2} \bigg ) $[/tex] is the required answer.

Answer:

The whole of a fraction

Answer:

it represents the whole fraction

Step-by-step explanation:

because a fraction is one number, like a decimal but stacked kindA

PLEASE MARK BRAINLIEST IF THIS HELPED

Answer:

srry that was my lil bro

Step-by-step explanation:

Answer:

Step-by-step explanation:

to convert degree to radians multiply with π/180

therefore -15° =-(15 ×π/180) = -π/12

Yo sup??

To convert any given angle into radian, just multiply it with π/180

therefore

-15° =-(15 *π/180)

=-π/12

You can also solve this question by applying unitary method.

Hope this helps.

Answer:

W= -2

Step-by-step explanation:

Simply the expression: 9(w – 4) – 7w = 5(3w – 2)

First step: 9w -36-7w = 15w-10

Second step: 2w-36=15w-10

Third step:-36+10=15w-2w

Fourth step:-26=13w

Fifth step: w=[tex]\frac{-26}{13}[/tex]

Six step: w=-2

Answer:

-2=w

Step-by-step explanation:

9(w-4) - 7w= 5(3w-2)

9w-36-7w= 15w - 10

2w-36=15w-10

- 2w      -2w

-36=13w-10

+10         +10

-26= 13w

-2=w

Answer:

No, it's not

Step-by-step explanation:

Lets simplify the two fractions to the lowest term

for 5/20 we'll divide the numerator and denominator by 5 (the HCF of the two)

it then becomes 1/4

For 4/12 we'll divide the numerator and denominator by 4 (the HCF of the two)

it then becomes 1/3

1/4 = 0.25

1/3 = 0.33

therefore 5/20 is not equal to 4/12

Answer:

Here, the coordinates aren't telling special characteristic of any shape, so it would be Paralleogram

In short, Your Answer would be Option B

Step-by-step explanation:

Answer: 224 students own a school sweatshirt.

Step-by-step explanation:

40% of 560 means 60% do not have one

0.60 is 60% as a decimal

560 x 0.60 = 336 students without a sweatshirt

560 - 336 = 224

The width of the rectangle is 9 cm.

The length of the rectangle is 34 cm.

Step-by-step explanation:

step 1 :

Let width of the rectangle be 'x'

The length of the rectangle = 7 + 3x

step 2 :

Perimeter of the rectangle = 2 (length + width)

⇒ 86 = 2 (7 + 3x + x)

⇒ 86 = 2 (7 + 4x)

⇒ 86 = 14 + 8x

⇒ 72 = 8x

x = 72/8

x = 9

∴ The width of the rectangle is 9 cm

step 3 :

The length of the rectangle = 7 + 3x

                                              = 7 + 3(9)

                                              = 7+27 = 34 cm

Answer:

  The area is multiplied by 9.

Step-by-step explanation:

The original square has an area of ...

  A = (4 in)² = 16 in²

The larger square has an area of ...

  A = (3·4 in)² = (3²)(4²) in² = 9·16 in² . . . . . 9 times the original area

The area is multiplied by the square of the scale factor: 9.

Answer:

y=-x+7

Step-by-step explanation:

every year she goes down how many times she is younger than him by 1 so -x is actually -1x, and it starts at 7 years so we put that as our y intercept

Answer:

m<B=m<K=100

m<A=m<J=133

m<L=m<C=41

m<M=m<D=86

Step-by-step explanation:

Since [tex]ABCD\cong JKLM[/tex], the corresponding angles are congruent.

This implies that:

[tex]m\angle A=133=m\angle J[/tex]

m<L=41=m<C

m<M=86=m<D

The sum of angles in a quadrilateral is 360 degrees.

m<B+133+41+86=360

m<B+260=360

m<B=360-260

m<B=m<K=100

Answer:

A(x1,y1) and B(x2,y2)

Step-by-step explanation:

you take two points your start and your stop and put them into the equations and solve

Answer: No

Step-by-step explanation:

5 + 1/2 = 5 1/2

Answer:

Yes 60 is the answer

Step-by-step explanation:

Multiply the numbers in the bracket

Then multiply by 5

Answer:

Step-by-step explanation: 5×(3×4) =60

5×(12) =60

5×12 =60

Answer:

0.

Step-by-step explanation:

Using the laws of logarithms:

log81/8 + 2log2/3 - 3log 3/2 + log 3/4​

= log 81/8 + log (2/3)^2 - log (3/2)^3 + log 3/4

= log 81/8 + log 4/9 - log 27/8 + log 3/4

= log 81/8 + log 4/9 - (log 27/8 - log 3/4)

= log (81/8 *  4/9) - log (27/8 * 4/3)

= log 9/2 - log 9/2

= 0.

Answer:

Angles: 40.9°, 99.05°, 40.05°

Step-by-step explanation:

Triangles

When we are given the lengths of the 3 sides of a triangle, we can easily compute all the internal angles by using the cosine's law or formula. Being x,y and z the sides of a triangle, and \alpha, \beta , \gamma the three opposite angles respectively, then

[tex]x^2=y^2+z^2-2yzcos\alpha[/tex]

[tex]y^2=x^2+z^2-2xzcos\beta[/tex]

[tex]z^2=x^2+y^2-2xycos\gamma[/tex]

We have x=5.9, y=8.9, z=5.8, then from

[tex]x^2=y^2+z^2-2yzcos\alpha[/tex]

We solve for [tex]\alpha[/tex]

[tex]\displaystyle cos\alpha=\frac{y^2+z^2-x^2}{2yz}[/tex]

[tex]\displaystyle cos\alpha=\frac{8.9^2+5.8^2-5.9^2}{2\times 8.9\times 5.8}[/tex]

[tex]cos \alpha=0.756[/tex]

[tex]\alpha=40.9 ^o[/tex]

Similarly

[tex]\displaystyle cos\beta=\frac{x^2+z^2-y^2}{2xz}[/tex]

[tex]\displaystyle cos\beta=\frac{5.9^2+5.8^2-8.9^2}{2\times 5.9\times 5.8}[/tex]

[tex]cos\beta=-0.157[/tex]

[tex]\beta=99.05^o[/tex]

Finally

[tex]\displaystyle cos\gamma=\frac{5.9^2+8.9^2-5.8^2}{2\times 5.9\times 8.9}[/tex]

[tex]cos\gamma=0.765[/tex]

[tex]\gamma=40.05^o[/tex]

Answer:

Answer is D

Step-by-step explanation:

I think it might be D

The size of the sample space is the total number of possible outcomes. For example, when you roll 1 die, the sample space is 1, 2, 3, 4, 5, or 6. So the size of the sample space is 6. Then you need to determine the size of the event space.

Answer:

I think it's the last one

Step-by-step explanation:

Answer:

the area of a circle is [tex]\pi[/tex]rsqr

32 x 32 =1024[tex]\pi[/tex]

Step-by-step explanation:

Answer:

A= 1024 x^{2}

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Given: Joe gave 1/4 of his total candies to his classmate.

            Then, he gave 4/6 of when he had left to his brother.

             He gave 25% of the remaining candies to his sister.

             Finally, he only had 21 candies left.

Lets assume the total number of candies at the beginning be "x".

First, finding the number candies left after giving candies to classmate.

∴ Remaining candies=  [tex]x- x\times \frac{1}{4}[/tex]

Solving it to find remaining candies after giving candies to clasmate.

⇒ Remaining candies= [tex]x-\frac{x}{4}[/tex]

Taking LCD as 4

⇒ Remaining candies= [tex]\frac{4x-x}{4} = \frac{3x}{4}[/tex]

∴ Remaining candies after giving candies to clasmate= [tex]\frac{3x}{4}[/tex]

now, finding the candies left after giving candies to his brother.

∴ Remaining candies= [tex]\frac{3x}{4} - \frac{3x}{4} \times \frac{4}{6}[/tex]

Solving it to find the remaining candies after giving candies to his brother.

⇒ Remaining candies= [tex]\frac{3x}{4} - \frac{x}{2}[/tex]

Taking LCD 4

⇒ Remaining candies= [tex]\frac{3x-2x}{4} = \frac{x}{4}[/tex]

∴ Remaining candies after giving candies to his brother= [tex]\frac{x}{4}[/tex]

We know, Joe was left with only 21 candies after giving candies to his sister.

Therefore, putting an equation for remaining candies to find the number of candies at the beginning.

⇒[tex]\frac{x}{4} - 25\% \times \frac{x}{4} = 21[/tex]

⇒[tex]\frac{x}{4} - \frac{0.25x}{4} = 21[/tex]

Taking LCD 4

⇒ [tex]\frac{x-0.25x}{4} = 21[/tex]

⇒ [tex]\frac{0.75x}{4} = 21[/tex]

Multiplying both side by 4

⇒[tex]0.75x= 21\times 4[/tex]

dividing both side by 0.75

⇒[tex]x= \frac{21\times 4}{0.75}[/tex]

∴[tex]x= 112[/tex]

Hence, Joe had 112 candies at the beginning.

Answer:

(sqrt(5))/4

Step-by-step explanation:

Simplify the following:

sqrt(5/16)

sqrt(5/16) = (sqrt(5))/(sqrt(16)):

(sqrt(5))/(sqrt(16))

sqrt(16) = sqrt(2^4) = 2^2:

(sqrt(5))/(2^2)

2^2 = 4:

Answer: (sqrt(5))/4

Answer:

55m+63

Step-by-step explanation:

6m+7(7m+9)

6m+49m+63

55m+63