Michael deposited $2000 into a simple interest savings account. In eight years,
he has a total of $2520 in his account. What interest rate did the bank give
Michael when he opened his account?
a. 2.5%
b. 3.75%
C. 3.25%
d. 2.25%

Answer:

angle wet and angle vet are equal because et bisects wev.

angle wet=angle vet

48°=3x+9

48-9=3x

39=3x

39/3=x

13=x

I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am

12 am is right above 9 pm but it occurs before 9pm.

Answer:

false

Step-by-step explanation

Answer:

30cm

Step-by-step explanation:

Because of the polygon similarity postulate (PSP) 8/12=20/x

8/12=20/x

20/(8/12)=x

20*12/8=x

x=30 cm

The length of side x is 30 cm when the shapes below are mathematically similar.

To calculate the length of side x, we can use the concept of similarity between the shapes. When two shapes are mathematically similar, their corresponding sides are proportional.

8 cm corresponds to 20 cm

12 cm corresponds to x (unknown)

Using the concept of proportionality, we can set up the following equation:

(8 cm) / (20 cm) = (12 cm) / (x)

To find x, we can solve this equation:

Cross-multiplying:

8 cm * x = 20 cm * 12 cm

Simplifying:

8x = 240 cm²

Dividing both sides by 8 to isolate x:

x = 240 cm²/ 8

x = 30 cm

Therefore, the length of side x is 30 cm.

To know more about length click here:

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Answer:

(0,−2)

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Your formula is:}\downarrow[/tex]

[tex]\mathsf{M = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})}[/tex]

[tex]\mathsf{x_1 = -4}[/tex]

[tex]\mathsf{x_2 = 4}[/tex]

[tex]\mathsf{y_1 = -2}[/tex]

[tex]\mathsf{y_2 = -2}[/tex]

[tex]\mathsf{Equation: m= (\dfrac{-4+4}{2}, \dfrac{-2+-2}{2})}[/tex]

[tex]\mathsf{-4 + 4 = \bf 0}[/tex]

[tex]\mathsf{m = (\dfrac{0}{2},\dfrac{-2+-2}{2})}[/tex]

[tex]\mathsf{-2 + -2 = \bf -4}[/tex]

[tex]\mathsf{m = (\dfrac{0}{2}, \dfrac{-4}{2})}[/tex]

[tex]\mathsf{\dfrac{0}{2}=\bf 0}[/tex]

[tex]\mathsf{\dfrac{-4}{2}=\bf -2}[/tex]

[tex]\mathsf{m= \bf (0, -2)}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf (0,-2)}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The depth the Hook is at would be 10.35 feet

Step-by-step explanation:

It is down 7.1 feet already and when it descends 3.25 feet it is now even lower

Answer:

I disagree with this quote. I think this quote means that good men should relax and make the others do the work.  I think it could be hard at times for good men should to speak up for a couple of reasons. I think it could be hard for men to speak up because they could be embarrassed or at certain times they wouldn't know what to do so they would freak out. Just because it may be hard to speak up doesn't mean they should be lazy and relax, they should still help in my opinion.

Step-by-step explanation:

Answer:

-0.7073ft/sec

Step-by-step explanation:

Given the following

Distance covered by Ben = -29feet

Time taken = 41secs

Required

average change in depth each second(speed)

average change in depth each second = Distance/Time

average change in depth each second = -29/41

average change in depth each second = -0.7073ft/sec

Answer:

The answer is -29 divided by 41

Answer:

b=570

Step-by-step explanation:

5(590-b)=100

multiplying 5 with right hand side

2950-5b=100

2950-100=5b

2850=5b

2850/5=b

570=b

Answer:

I don't know if you're serious but its 50%.

Step-by-step explanation:

Its really simple, 48/24=2 meaning that 24*2=48 and means that 24 is half of 48 making it 50%.

Answer:

I u⁣ploaded t⁣he a⁣nswer t⁣o a f⁣ile h⁣osting. H⁣ere's l⁣ink:

Step-by-step explanation:

Answer:

I. Length, L = 11 cm

II. Width, W = 6 cm

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 66 cm²

Translating the word problem into an algebraic expression, we have;

L = 2W - 1 .....equation 1

We know that the area of a rectangle is given by the formula;

A = L * W

Substituting

66 = L * W ....equation 2

Substituting eqn 1 into eqn 2, we have;

66 = (2W - 1) * W

66 = 2W² - W

2W² - W - 66 = 0

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 2, b = -1 and c = -66

Solving the quadratic equation using the quadratic formula;

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the equation, we have;

[tex] x = \frac {-(-1) \; \pm \sqrt {1^{2} - 4*2*(-66)}}{2*2} [/tex]

[tex] x = \frac {1 \pm \sqrt {1 - (-528)}}{4} [/tex]

[tex] x = \frac {1 \pm \sqrt {1 + 528}}{4} [/tex]

[tex] x = \frac {1 \pm \sqrt {529}}{4} [/tex]

[tex] x = \frac {1 \pm 23}{4} [/tex]

[tex] x_{1} = \frac {1 + 23}{4} [/tex]

[tex] x_{1} = \frac {24}{4} [/tex]

x1 = 6

We do not need the negative value of x, so we proceed.

Therefore, Width, W = x1 = 6 cm

Next, we find the length L;

From eqn 1;

L = 2W - 1

L = 2(6) - 1

L = 12 - 1

L = 11 cm

Answer:

x^2 - 6x -18  is the same so you can write

x^2 - 6x -18   = ( x^2 - 8x - 15 = 3)

Step-by-step explanation:

When we subtract 3 each side we get -18  as -15 -3  is -18

x^2 - 6x -15 = 3

x^2 - 6x -15- 3 =  

x^2 - 6x - 18 = 0

When equations equal or set equal to zero we can then use the quadratic formula found in your book.

x1  

= −(−8) − √ (−8)2 − 4×1×(−18)  /  2×1

= 8 − 2 × √ 34  

/2

≈ −1.831

x^2  

= −(−8) + √ (−8)2 − 4×1×(−18)  

/2×1

= 8 + 2 × √ 34 /  2

≈ 9.831

The value of x in the figure is 21.4

To do this, we make use of the following law of sine

[tex]\frac{\sin (A)}{a} = \frac{\sin (B)}{b}[/tex]

Using the values in the question, we have:

[tex]\frac{\sin (x)}{12} = \frac{\sin (42)}{22}[/tex]

Multiply both sides by 12

[tex]\sin (x) = \frac{12\sin (42)}{22}[/tex]

Evaluate the quotient

[tex]\sin (x) = 0.3650[/tex]

Take the arc sine of both sides

x = 21.4

Hence, the value of x is 21.4

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9 x 15 = 135. Just width times height.

Answer:

B) A dot plot would show 7 points for numbers greater than 2.

D) A histogram would have a maximum of 7 bars.

Step-by-step explanation:

quiz on edg told me ;)

The true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

A dot plot uses dots to show each data point, while for histogram, the frequency for the data values are depicted by bars or bins.

In the data ste given, 7 of the data points are greater than 2. So, the dot plot for the data distribution would display 7 points for values greater than 2.

Also, there are 7 different values, which are from 0 - 6. This will require 7 bars if we want to represent the data on a histogram.

Therefore, the true statements are:

B. dot plot would show 7 points for numbers greater than 2.

D. histogram would have a maximum of 7 bars.

Learn more about the dot plot and histogram on:

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Answer:

90 [tex]cm^{2}[/tex] of blue paint

Step-by-step explanation:

From the given diagram, the sides have the same dimensions and the shape of a triangle.

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

Given that, the base of each side = 6 cm, and the height = 10 cm.

Then,

Area of each side of the shape = [tex]\frac{1}{2}[/tex] x 6 x 10

                                              = 30 [tex]cm^{2}[/tex]

Since Leonard wish to paint only the 3 sides and not the bottom part of the shape, the amount of paint required can be determined as;

3 x area of each side = 3 x 30

                                   = 90 [tex]cm^{2}[/tex]

Leonard would need 90 [tex]cm^{2}[/tex] of paint to paint the sides of the shape.

Answer: 384 cm²

Step-by-step explanation:

Took test

Answer:

Answer: 384 cm²

Step-by-step explanation:

Answer:

[tex]2 \times 9 = 3 \times y \\ y = 18 \div3 = 6 \\ 6 \times 3 = x \times 5 \\ x = 18 \div 5 = 3.6[/tex]

Answer:

50

Step-by-step explanation:

7+7/7+7x7-7

7+1+7x7-7

7+1+49-7

8+49-7

57-7

50

Answer:

50

Step-by-step explanation:

7 + 7 ÷ 7 + 7 ⋅ 7 - 7

7 + 1 + 49 - 7

7 + 50 - 7

50 - 7 + 7

50

Answer:

6.75

=> 675/100

=> 135/20

Answer and Step-by-step explanation:

The actual answer is 348.

4 rectangles with area 60 each, which, when added together, equals 240.

1 square with area 36.

Each triangle face is 18 each, so 72.

Add those together and the answer is 348 [tex]ft^2[/tex] :).

#teamtrees #PAW (Plant And Water)

Answer:

24girls

Step-by-step explanation:

3+2 =5

5=60children

2=?

24 girls

Answer:

1) C - The estimate of the product is 10

2) A - The estimate of the product is 20

3) A - The estimate of the product is 20 (It is the same question as #2^)

4) A - The estimate of the product is 9

5) B - The product of the product of 7

Step-by-step explanation:

Hope it Helps!

:)

Answer:

it's A, maybe it is.

Step-by-step explanation:

Answer:

$13

Step-by-step explanation:

multiply 65 by 80 then divide by 100, you get 52, so subtract 65 from 52 you get 13

Using the density concept, it is found that the mass would stay the same, and the correct option is given by B.

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

[tex]d = \frac{m}{v}[/tex]

[tex]m = dv[/tex]

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

A similar problem is given at https://brainly.com/question/16909559

Answer:

(-6, 2) NO

(3, 5) NO

(-3, - 4) YES

(2, 9) NO

Step-by-step explanation:

given= in triangle PQR,<R=90⁰ QR=61 FEET RP=90 FEET

by using pythagoras therom ;

(hypotenuse)²=(side1)² +(side2)²

(PQ)²=(PR)²+(QR)²

(PQ)²=(90)² + (61)²

(PQ)²=8100 + 3721

(PQ)²=11821

TAKING SQUARE ROOTS ON BOTH SIDES, WE GET;

PQ= 108 feet

<P = thita

sin ⁰ = opposite/hypotenuse

sin⁰ =QR/PQ

SIN⁰ =61/108

SIN⁰ =0.56

there amgle P measures 0.56 degree

Answer:

34

Step-by-step explanation:

its right

Answer:

Area= 4 ft²

Step-by-step explanation:

Area= (2)(2)

multiply 2 × 2= 4

Area= 4 ft²

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

hope it helps...

have a great day!!