The expression 3 (x-9) equivalent to

3 (x-9)

Given:

Principal value of loan = $1,245

Rate of interest = 5%

To find:

The total amount that will be repaid if the loan described is paid in 2 years.

Solution:

The formula for amount is

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, P is the principal, r is the rate of interest, t is the number of years.

Putting P=1245, r=5 and t=2, we get

[tex]A=1245\left(1+\dfrac{5}{100}\right)^2[/tex]

[tex]A=1245\left(1+0.05\right)^2[/tex]

[tex]A=1245\left(1.05\right)^2[/tex]

On further simplification, we get

[tex]A=1245(1.1025)[/tex]

[tex]A=1372.6125[/tex]

[tex]A\approx 1372.61[/tex]

Therefore, the total amount that will be repaid if the loan described is paid in 2 years is $1372.61.

Answer:

(7, 2).

Step-by-step explanation:

The median from A intersects BC at it's midpoint.

To find the midpoint of BC:

This is (x1, y1) where x1 = (sum of the x_values of B and C) / 2)  and where y1

= (sum of the y_values of B and C) / 2)

This is (2+12)/2,  (1 + 3)/2

= (7, 2).

Answer:

Pt=1285237.2855≈ 1285237

YOUR WELCOME :)

Answer:

(0, 4)

Step-by-step explanation:

To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.

First, let's simplify y = x + 4x + 4 by combining the x's.

y = 5x + 4

Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.

5x + 4 = 2x + 4

Now you want to combine the terms.

[subtract 4] 5x = 2x

[subtract 2x] 3x = 0

Now you want to isolate the x.

[divide by 3] x = 0

Now we want to find y by plugging x = 0 back into the equations.

y = 5(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Check this with the other equation.

y = 2(0) + 4

[multiply] y = 0 + 4

[add] y = 4

Your answer is correct!

(0, 4)

Step-by-step explanation:

Just think of these as your building blocks for geometry success.

Diagram for success. ...

Know your properties and theorems.

Understand Euclid's postulates.

Learn the language of math.

Know your angles. ...

Know your triangles. ...

Figure out what you want and what you're given. ...

Now fill in the rest.

Answer: 47.5

Step-by-step explanation:

Answer:

PRESSURE: 1.08 kg/cm

VOLUME OF THE GAS: 47.5ML

THE PRODUCT OF P x V: 51.3

Step-by-step explanation:

RATE AND THANK IF IT HAS HELPED YOU!

Answer:

The answer is (b-5)2

Step-by-step explanation:

Decreasing means you need to subtract.

Doubled mean you need multiple it by 2.

Answer:

a number b is decreased by 5 then doubled

(b -5) x 2

the sum of 20 and h is divided by f

h/f = 20

Marissa's hair was 10inches long and then she cut b inches

10 - b

the sum of twice c and 10

2 x c = 2 x 10

anna had a n piece of candy and ate 5. she split remaining amount with three friends

(n-5) = (X / 3)

I hope my answer are correct and helpful a little bit.

Answer:A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Step-by-step explanation:

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Answer:

A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. the rest is blueberry juice. How much of each ingredient will be necessary to make the 10 smoothies?

Step-by-step explanation:

Set up 2 equations:

Kyle: 5h + 3f = 14.50

Myles: 4h + 2f = 11.00

Lets get the two h's to cancel out.

Multiply Kyle by 4 and Myles by -5:

Kyle: 20h + 12f = 58

Myles: -20h - 10f = -55

Now add the two equations together:

2f = 3

Divide both sides by 2:

f = 3/2

f = 1.50

1 french fry cost $1.50

Now solve for the price of a hot dog:

5h + 3(1.50) = 14.50

5h + 4.50 = 14.50

Subtract 4.50 from both sides:

5h = 10.00

Divide both sides by 5:

h = 2

One hot dog cost $2.00

Answer:

Jenny's age = 8 yr

Sam's age = 17 yr

Step-by-step explanation:

Let x = Jenny's age now

then x + 9 = Sam's age now

x - 5 = Jenny's age 5 years ago

x + 9 - 5 = x + 4 = Sam's age 5 years ago

4(x - 5) = x + 4

4x - 20 = x + 4

3x = 24

x = 8 = Jenny's age now

x + 9 = 8 + 9 = 17 Sam's age now

Check:  5 yrs ago Jenny was 3 and Sam was 12

4(3) = 12, so the answer is correct.

Answer:

Your solution is (-1, 0)

Step-by-step explanation:

3x - y = -3

x + y = -1

The elimination method eliminates one variable at a time to find the other variable.

Here we can see that the y variable will naturally be eliminated.

3x - y = -3

x + y = -1

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

4x = -4

Divide both sides by 4 to isolate x.

x = -1

Now plug this value back into one of the equations.

3(-1) - y = -3

Multiply.

-3 - y = -3

Add 3 to both sides.

-y = 0

Divide both sides by -1.

y = 0

Your solution is (-1, 0)

Check this solution by plugging these values into the second equation.

-1 + 0 = -1

-1 = -1

Your solution is correct.

Hope this helps!

Answer:

x = -1

y = 0

Step-by-step explanation:

3x - y = -3 -------------------(I)

x + y = -1    ------------------(II)

Add equation (I) & (II). Now, y will be eliminated and you can find the value of x

(I)    3x - y = -3

(I)   x + y =  -1

    4x       = -4

           x  = -4/4

           x = -1

Plugin x = -1 in equation (II)

-1 + y = -1

        y = -1 +1

        y = 0

Answer: 0.49 mi

Step-by-step explanation:

First find the half circumference of the circular pond as this will show the total distance your friend has to walk:

= (π * diameter) / 2

= (22/7 * 0.85) / 2

= 1.34 mi

Your friend is going to walk 1.34 and you will walk 0.85.

Difference is:

= 1.34 - 0.85

= 0.49 mi

Answer:

Step-by-step explanation:

y=mx+b where m=slope and b=y intercept

m=(y2-y1)/(x2-x1)=(22-4)/(0+8)=2.25

y=2.25x+b, using point (0,22) we can solve for b

22=2.25(0)+b

b=22

y=2.25x+22 or stating it fractionally

y=9x/4+22

Answer:

its d

Step-by-step explanation:

Answer:

fnjfc ij vcd d GB hhv

Step-by-step explanation:

tb f thg. kufc if fyi uuj

Answer:

56 legos in all

Step-by-step explanation:

35/5=7

7*3=21

21+35=56

Answer:

well i have legos in rl so i think the answer is C. or 56 legos in all

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

5x - 2 + x = 9 + 3x + 10

5x + x - 2 = 9 + 10 + 3x

5x + x - 3x - 2 = 9 + 10 + 3x - 3x (substracted 3x from both sides)

3x - 2 = 19

3x = 19 + 2

3x = 21

x = 21 : 3

x = 7

Answer:

5.1

Step-by-step explanation:

cos 65° = [tex]\frac{x}{12}[/tex]  

x = 12 cos 65°

cos 65° ≈ 0.422618261741

x ≈ 5.07 ≈ 5.1

Answer:

1) 225

2) 2304

Step-by-step explanation:

1)

Use geometric mean of legs

[tex]x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2} = 25 * 9 = 225[/tex]

2)

Use geometric mean of altitude

[tex]x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304[/tex]

Answer:

Step-by-step explanation:

Answer:

m<P = [tex]116^{0}[/tex]

Step-by-step explanation:

The given triangle is an isosceles triangle.

Since PN ≅ OP, then m<O ≅ m<N.

So that,

m<O + m<P + m<N = 180 (sum of angles in a triangle)

But,

m<O = 32 ≅ m<N = 32 (base angles of an isosceles triangle are equal)

32 + 32 + m<P = 180

64 + m<P = 180

m<P = 180 - 64

       = 116

m<P = [tex]116^{0}[/tex]

Answer:

2. 70

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of its remote interior angles.

<CBD is an exterior angle of triangle ABC.

Its remote interior angles are <A and <C.

m<A + m<C = m<CBD

m<A + 75 = 145

m<A = 70

m<CAB = 70

Answer: 2. 70

Step-by-step explanation:

when y=1 then,

y=1+X

X=1-y .

I'm assuming the equations are o that you solve in your own:

x = y + 1 = 1+1 = 2

x = y -1 = 1-1 = 0

x = 1*y = 1*1 = 1

x = y*1 = 1*1 = 1

x = y/1 = 1/1 = 1

x = 1/y = 1/1 = 1

An equality relationship between two expressions written on both sides of the equal to sign.

There are many situations in which equations can be used. Whenever an unknown quantity has to be found, an equation can be formed and solved.

Learn more about Equation here

https://brainly.com/question/13763238

#SPJ2

Answer:

sin theta= p/h

here, 40√3/x=x sin 60

40√3/x=x √3/2

40/x= x/2

x^2=80

=√80=4√5

nope they are not similar

as in order to say that triangles are similar their sides should be in proportion or angles to be equal but here

here only one angle is equal the other one is not

So they are not similar

Step-by-step explanation:

Yes the given two triangles are similar because all the corresponding angles are equal.

in the first figure let the remaining angle be x then

x + 37 + 110 = 180

x = 33

In the second figure let the remaining angle be y then

y + 33 + 110 = 180

y = 37

Here we come to the conclusion that all the corresponding angles are equal so they are similar triangles.

Hope it will help :)❤

Answer:

2 cm

Step-by-step explanation:

the sum of the two shorter sides must be longer than the third side

Answer:

6.651*10^9

Step-by-step explanation:

6.68*10^9-2.9*10^7

You can factor out 10^7 to get

(6.68*10^2-2.9)*10^7

(668-2.29)*10^7

665.71*10^7

Scientific notation would be 6.651*10^9