Petra invests $10,800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?

Answer:

1 st angle = 40

2 nd angle= 50

Step-by-step explanation:

Answer:

First angle = 40

Second angle = 50

Step-by-step explanation:

let 1st angle be 4x and 2nd angle be 5x

4x + 5x = 90 [Complementary means the sum of angles is 90]

=> 9x = 90

=> x = 90/9

=> x = 10

First angle = 4x = 4(10) = 40

Second angle = 5x = 5(10) = 50

Answer:

2*b = 8

b=4

Step-by-step explanation:

2*b = 8

Divide each side by 2

2b/2 =8/2

b=4

Answer:

[tex]4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you[/tex]

Answer: c = -2

Step-by-step explanation:

Given

4 (3 + c) + c = c + 4

Expand parentheses and apply the distributive property

4 · 3 + 4 · c + c = c + 4

12 + 4c + c = c + 4

Combine like terms

12 + (4c + c) = c + 4

12 + 5c = c + 4

Subtract 12 on both sides

12 + 5c - 12 = c + 4 - 12

5c = c - 8

Subtract c on both sides

5c - c = c - 8 - c

4c = -8

Divide 4 on both sides

4c / 4 = -8 / 4

[tex]\boxed{c=-2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

One circle is 360°, that means, 180° is half of the circle.

Then, the required rotation may be performed according to this property. For more details see the attached picture.

Answer:

[tex]5[/tex]

Step-by-step explanation:

[tex]105 \div 21[/tex]

[tex] = 5[/tex]

Step-by-step explanation:

the coordinates of the quadrilateral WXYZ after reflected across the y-axis:

W' (3, 4)

X' (-2, 8)

Y' (-4, -4)

Z' (3, -4)

Answer:

yes 2/3 is rational.

Step-by-step explanation:

please mark me brain list

9514 1404 393

Answer:

Step-by-step explanation:

Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.

  6w +12d = 204 . . . . . . Ryan's sale

  7w +7d = 147 . . . . . . . . Cody's sale

We can divide out the common factor to put these equations into standard form:

  w +2d = 34

  w +d = 21

Subtracting the second of these equations from the first, we get ...

  (w +2d) -(w +d) = (34) -(21)

  d = 13

Using the second equation, we can find w:

  w = 21 -d = 21 -13 = 8

The costs of the chocolate chip cookie dough packages are ...

  white: $8

  double: $13

Answer:

you have $ 8

Step-by-step explanation:

cheque wrote ,=$10

and he threw =$2

then total $ left will be $8

please mark me brainleast

Answer:

AB = 4

Step-by-step explanation:

Since the line is horizontal then its length is the difference of the x- coordinates, that is

AB = | 8 - 4 | = 4 , or

AB = | 4 - 8 | = | - 4 | = 4

Answer:

$7.10

Step-by-step explanation:

Step 1: We make the assumption that 35.5 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=35.5$.

Step 4: In the same vein, $x\%=20$.

Step 5: This gives us a pair of simple equations:

$100\%=35.5(1)$.

$x\%=20(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

Step 7: Taking the inverse (or reciprocal) of both sides yields

Hope this helps <3

Answer:

|x| = 8

Answer: x = 8, -8

Step-by-step explanation:

| | this symbol represents absolute value. When you remove absolute value it creates a ± sign on the opposite side.

x = ± 8

This means x = 8 and x = -8

The solutions are 8 and -8.

Answer:

-1 C

Step-by-step explanation:

Mean = Average

To find the mean simply add all the values and then divide that by the number of given values

So first add the 4 values together

1.5 + -2.6 + -3.4 + .5 = -4

Then divide the sum by the number of values ( there are 4 values )

-4 / 4 = -1

The mean temperature is -1

Answer:

Round to the nearest thousand.

5,568

= 5,000

Round to the nearest thousand

5,568

= 5,000

Answer:

1860 yards

Step-by-step explanation:

1 mile = 1760 yards.

1 yard = 3 feet

300 feet = 100 yards

1760 + 100 = 1860 yards

Answer:

how did the "X" on the right get to the left...

to remove it you have to SUBTRACT ...

you added "X" to both sides that was/is the error in your attempt

Step-by-step explanation:

-2x + 5(x-1) = -11 + x

-2x + 5x - 5 = -11 +x

3x - 5 = -11 + x

2x - 5 = -11

2x = -6

x = -3

Answer:

The lowest point is -100 meters, or 100 meters down

Step-by-step explanation:

D(x)=1/36(x-60)^2-100

This equation is in vertex form

y = a(x-h)^2 +k  where (h,k) is the vertex

Since a is positive, the parabola opens up

The vertex is the minimum, which means it will be the lowest point

The vertex is (60,-100)

The lowest point is -100 meters, or 100 meters down

Given expression

Compare to the vertex form

We get

.

As a is positive parabola is opening upwards and vertex is minimum

Lowest altitude is -100m

Answer:

it will be 11

Step-by-step explanation:

thatsvthe answer minus and minus plus

Answer: First Choice. 5ft

Step-by-step explanation:

Here we need to know the idea of the Pythagorean theorem.

Since a building is straight, the base angle is a right angle, thus it would be a right triangle.

Pythagorean Theorem: a² + b² = c²

**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)

Solve:

Given information

a = 12 ft

c = 13 ft

b = unknow base length

Given formula for Pythagorean Theorem

a² + b² = c²

Substitute values into the formula

12² + b² = 13²

Simplify exponents

144 + b² = 169

Subtract 144 on both sides

144 + b² - 144= 169 - 144

b² = 25

Square root both sides

√b² = √25

[tex]\boxed{b=5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

56

Step-by-step explanation:

The numerical length of QS is 128.

We have a Line Segment QT and a point R lies on the midpoint of QS.

We have to determine length of QS.

The mid - point of a line is a point that divides it into two parts of equal lengths.

According to question, we have -

RS = 2x - 4

ST = 4x – 1

RT = 8x – 43

Since, R is the midpoint of QS -

QR = RS = 2x - 4

QS = QR + RS = 2 x QR = 2(2x - 4)

Now -

ST = RT - RS

ST = 8x - 43 - 2x + 4

ST = 6x - 39

and

ST = 4x - 1     [Given]

Therefore -

6x - 39 = 4x - 1

6x - 4x = - 1 + 39

2x = 38

x = 19

Now -

QS = QR + RS = 2RS

QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128

Therefore -  QS = 128

Hence, the numerical length of QS is 128.

To solve more questions on Lines and Lengths, visit the link below -

brainly.com/question/16345328

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Answer:

225

Step-by-step explanation:

15^2 = 15 * 15 = 225

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

1/6

Step-by-step explanation:

It's 1/6 because the only multiple of 5 in a die is 5, so it will be 1/6.

The miles previously covered by algae is 6 miles

let m represent the miles of the coastline covered by algae before the clean-up  

fraction of miles covered after the clean-up = [tex]\frac{1}{3}[/tex] x m = [tex]\frac{1}{3}m[/tex]

miles covered after the clean-up = 2 miles

[tex]\frac{1}{3}m[/tex] = 2 miles

to determine the value of m, make m the subject of the formula.

To do this, take the following step :

multiply both sides of the equation by 2

m = 2 miles x 3

m = 6 miles

For more information, please check : https://brainly.com/question/2294445?referrer=searchResults

Answer:

b+5≤-24. Hope this helps:)

Step-by-step explanation:

Answer:

n - 10

Step-by-step explanation:

10 is less than n so subtract 10 from n