what is the value of x?

Answer:

Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.

Step-by-step explanation:

Formula for the simple interest is,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

Here, P = Principal amount

r = rate of interest  

t = Duration of investment

Let Phyllis invested amount (at 5.25% rate of interest) = $x

Therefore, Interest on this amount,

Interest = [tex]\frac{5.25\times x}{100}[/tex]

             = $0.0525x

If he invested the rest amount $(13000 - x) at the rate of 5%,

Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]

                                                    = $(650 - 0.05x)

Interest earned on total amount = $672

Therefore, $0.0525x + $(650 - 0.05x) = $672.5

0.0025x + 650 = 672.5

0.0025x = 22.5

x = $9000

Rest amount = 13000 - 9000

                     = $4000

Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.

Answer:

h=-3

Step-by-step explanation:

-4h-2=-6h-8

+6h     +6h

2h-2=-8

   +2  +2

2h=-6

h=-3

Answer:

-2

Step-by-step explanation:

a + (-6), a = 4

(4) + (-6)

4 - 6

= -2

Answer: 7.26

Step-by-step explanation:

calculator

Answer:

I'm about 99.9% sure you need to know what theta is (x) so you can solve this

Step-by-step explanation:

Either that or the answer would be 0.7

Answer:

Y=-1

Step-by-step explanation:

The slope of line is zero

Answer:Equation at the end of step 1

STEP

2

:

           4a2 - b2

Simplify   ————————

            2a - b  

Trying to factor as a Difference of Squares:

2.1      Factoring:  4a2 - b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2  

Check :  a2  is the square of  a1  

Check :  b2  is the square of  b1  

Factorization is :       (2a + b)  •  (2a - b)  

Canceling Out :

2.2    Cancel out  (2a - b)  which appears on both sides of the fraction line.

Final result :

 2a + b

Step-by-step explanation:

I got you !

Step-by-step explanation:

45 bulbs planted in first year.

65 bulbs the next year.

increase = 20 bulbs

Number of increase of planted tulip bulb is N = 65 - 45 = 20

( 20/45)  x 100% = 44.4 % to the nearest tenths

Answer: Answer is 9

Step-by-step explanation:

Answer:

the answer to this question is C. 9

Step-by-step explanation:

Answer:

1009

Step-by-step explanation:

0,25 x 2018 = 504,5

20,18 x 25 = 504,5

504,5 + 504,5 = 1009

Answer:

1,009

Step-by-step explanation:

[tex] \frac{25}{100} \times 2018 = 504.5[/tex]

[tex] \frac{2018}{100} \times 25 = 504.5[/tex]

[tex]504.5 + 504.5 = 1009[/tex]

hope it helps you ☺️

14.8 square feet is the area of the given parallelogram.

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

The area of a parallelogram is given by the formula:

Area = base x height

where the base is the distance between two parallel sides of the parallelogram.

In this case, the height is given as 2 feet, but we need to find the base.

Since the parallelogram has two pairs of parallel sides, we can use the width of 7.4 feet as the base.

Therefore, the area of the parallelogram can be calculated as:

Area = base x height = 7.4 ft x 2 ft = 14.8 square feet

So, the area of the parallelogram is 14.8 square feet.

Learn more about Area here:

https://brainly.com/question/27683633

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Complete question:

Answer:

Area=[tex]\frac{13(6)}{2}[/tex]

        =[tex]\frac{78}{2}[/tex]

       =39

Step-by-step explanation:

Answer:

39 ft

Step-by-step explanation:

use the formula for the area of the triangle (base*height)/2

(13*6)/2=78/2= 39 ft

Answer:

the answer is (x,y) (1/4 -13/4)

Answer:

Q5

∠3 = ∠4

Q6.

∠S + ∠T = 90°

Q7.

∠X + ∠Y = 180°

Q8.

∠1 = ∠4

Q9.

∠K = ∠L

Answer:

Q5

∠3 = ∠4

Q6.

∠S + ∠T = 90°

Q7.

∠X + ∠Y = 180°

Q8.

∠1 = ∠4

Q9.

∠K = ∠L

Step-by-step explanation:

Answer:

It is not.

Step-by-step explanation:

The formula of a right triangle is "[tex]a^{2}+b^{2} =c^{2}[/tex]" where c is the hypothenuse (the longest side of the triangle) if we replace the formula with the values we will get

  "[tex]30^{2} +122^{2} =125^{2} \\900 + 14884 = 15625\\15784\neq 15625[/tex]

Answer:

31

Step-by-step explanation:

58 - 27 = 31

Answer:

the answer is 4

Step-by-step explanation:

1/2 of 24= 12

1/3 of 12=4

hope this helps

Consider we need to find the equation of the circle.

Given:

The Center at (-4,-1), radius = 2​.

To find:

The equation of the circle.

Solution:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=-4, k=-1 and r=2, we get

[tex](x-(-4))^2+(y-(-1))^2=(2)^2[/tex]

[tex](x+4)^2+(y+1)^2=4[/tex]

Therefore, the equation of the circle is [tex](x+4)^2+(y+1)^2=4[/tex].

Answer:

the answer is associative

Step-by-step explanation:

Answer:

x = -6 & y= 42

Step-by-step explanation:

I hope this helps :)

x = 6, y = -42

Substitution:

-7x = -5x - 12

-2x = -12

x = 6

When x = 6,

y = -7(6) = -42

Answer:

im assuming its 6n+9.8 given that this has no context

Step-by-step explanation:

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

Answer:

d

Step-by-step explanation:

-4+5n=18+3n

step 1 add 4 to each side

5n=22+3n

step 2 subtract each side by 3n

2n=22

step 3 divide each side by 2

n=11

Answer:

the awnser is. (-5) + (-12)

Answer: 7, -5+12

Step-by-step explanation:

Minus a negative is just like adding so -5 -( -12) would be the same as -5+12 which is 7

Answer:

50/x

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

cross multiply:

50*x = 20*20

50x=400

divide by x (50)

50x/50 = 400/50

x=8

Answer:

6^2+8^2=10^2

5^2+x^2=6^2

Step-by-step explanation:

Answer:

100th term = 962

Step-by-step explanation:

You need  to find the first term of the sequence

The formula to use is

[tex]a_{n} = a_{1} + (n - 1)d[/tex]    In your problem, n = 14.  So,

[tex]102 = a_{1} + (14 - 1)10\\102 = a_{1} + 130\\a_{1} = -28\\\\[/tex]

Now you can find the 100th term.  n = 100, first term = -28 and d = 10

[tex]a_{100} = -28 + (100 - 1)10\\ = -28 + 990\\ = 962[/tex]

100th term = 962