Find the simple interest earned to the nearest cent for the principal, interest rate, and time.



$500, 4%, 2 years



I = prt



A.
$50

C.
$48

B.
$62

D.
$40

Answer:

The horizontal asymptote is x-axis

Step-by-step explanation:

The horizontal asymptote is the y axis not x axis

Answer:

14 units, 19.8 units (3 s.f.)

Step-by-step explanation:

To find the length of each side of the square ABCD, find the length of AB.

Refer to the picture attached.

AB= AX +XB

Let's find the length AX first.

(see triangle AXY)

Applying Pythagoras' Theorem,

(AX)² + (XY)² = (AY)²

(AX)² +12²= 13² (subst. known values)

(AX)²= 169 -144 (move constant to 1 side)

(AX)²= 25 (simplify)

AX= √25 (square root both sides)

AX= 5 units

Now, let's find the length of XB.

(see triangle BXY)

Applying Pythagoras' Theorem,

(XB)² + (XY)²= (BY)²

(XB)² +12²= 15²

(XB)²= 225 -144 (bring constant to 1 side)

(XB)²= 81 (simplify)

XB= √81 (square root both sides)

XB= 9 units

AB

= 5+9

= 14 units

Therefore, length of each side of square ABCD= 14 units

To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).

Since squares have equal sides, AD= DC= 14 units

Applying Pythagoras' Theorem,

(AC)²= (AD)² +(DC)²

(AC)²= 14² +14² (subst. known values)

AC= √392 (simplify)

AC= 19.8 units (to 3 s.f.)

Answer:

y= 5.75x

Step-by-step explanation:

divide the amount he charges by how many hours.

Answer:

0,2,4

Step-by-step explanation:

Answer: 0,2,4

Step-by-step explanation:

Answer:

A.) Never meet.

Step-by-step explanation:

It’s A they never meet

Answer:

-2

Step-by-step explanation:

image attached!

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

Answer:

9 notebooks would cost $6.75

Step-by-step explanation:

How I solved this problem was by taking the data and writing it out first.

During one trip, he got 2 boxes of pencils and 8 notebooks for $11.00

During the second trip, he got 3 boxes of pencils and 5 notebooks for $11.25

This led me to believe that the boxes were definitely more expensive than the notebooks, as there were many notebooks bought during the first trip, yet that trip was cheaper than the second. So, by the process of elimination, I started off the value of the notebooks to be $0.50, and the boxes of pencils to be $3.00, and I continued to experiment with values until I found two values that would work in both scenarios, the values being $2.50 for a box of pencils, and $0.75 for a notebook. (I know there's likely an easier way of doing this, but I haven't done a problem like this in a while, and this method works just fine. It's just a bit more time consuming.)

1st Case: 2(2.50) + 8(0.75) = 11

2 times 2.50 equals 5, and 8 times 0.75 equals 6. 5 added to 6 gives you a sum of 11.

2nd Case: 3(2.50) + 5(0.75) = 11.25

3 times 2.50 equals 7.50, and 5 times 0.75 equals 3.75. 7.50 added to 3.75 gives you a sum of 11.25

Now that it is known how much each notebook costs ($0.75), you would take that value and multiply it by 9, since you're wanting to know how many 9 would cost, and this gives you a product of $6.75.

I hope this helps :)

Answer:

it would cost £6.75

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The maximum value of sin(x) is 1.

When x = 90 degrees sinx = 1.

Answer: 150

Step-by-step explanation: Area = 6a^ this is the formula for surface area

The substitute Area = 6 * 25

then multiply Area = 150

hope this helps mark me brainlist if it did hope you have a great day

Answer:

150 cm²

Step-by-step explanation:

bottom: 25cm

top: 25cm

right: 25cm

left: 25cm

front: 25cm

back: 25cm

25+25+25+25+25+25=150cm²

Answer:It's C, 425 ft.

Step-by-step explanation:

You multiply 17 ft. by 25 ft.

Answer:

84 feet

Step-by-step explanation:

there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet

to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.

therefore 84 feet is your answer.

Answer:

B. 0.9%

Step-by-step explanation:

If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles

The radius of the earth is 3959 miles

Assuming that both bodies are spherical, their surface are:

meteor's surface: π*r² = π*375² = 441786.467 miles²

Earth's surface: π*3959² = 49240321.1 miles²

If 49240321.1 miles² represents 100% then 441786.467 miles² represents:

49240321.1 miles² / 100% = 441786.467 miles² / x%

x = 441786.467/49240321.1*100

x = 0.9%

Answer:

B) 0.9%

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Let w = width

L = length = w+5

The area is l*w

A = (w+5)*w

A = w^2 +5w

Answer:

A. 3,864 ft²

B. 1,319.585 ft²

C. 2,544.415 ft²

Step-by-step explanation:

Area of triangle:

½ × 92 × 84

3864 ft²

Area of circle:

pi × r²

3.14 × 20.5²

1319.585 ft²

Difference:

3864 - 1319.585

2544.415 ft²

Answer:12.33333333333

Step-by-step explanation:

8x - 2 = 14x - 76

74 = 6x

12.333 = x

The required value of the x is 13 in the measures of the angle.

Given that,
Line A and B are parallel lines and intersect by a transversal line.

A line can be defined by the shortest distance between two points is called a line.

Parallel lines are defined as the line on which the corresponding points are equidistant throughout the line

Here,
If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,
Thus,
8x + 2 = 14x - 76
6x = 78
x = 78 / 6
x = 13

Thus, the required value of the x is 13 in the measures of the angle.

Learn more about lines here:

brainly.com/question/2696693

#SPJ2

Answer:

⅓

Step-by-step explanation:

Total 6 possible outcomes

Same colour:

White, white

Blue, blue

P(same colour) = 2/6 = 1/3

Answer:

1/3

Step-by-step explanation:

Looking at the possibilities ( there are 6)

There are 2 that have the same shirt and shorts of the same color  ( white white and blue blue)

That means we have 2 out of 6  that meet the requirements

2/6 = 1/3

Complete Question

The dot plot shows the number of participants in each age group in a science fair. Which of the following statements is not supported by the dot plot?

A The range is 6.

B The mean of the ages is about 14.4.

C The mode of the ages is 13.

D The median of the ages is 15.

Answer:

(C) The mode of the ages is 13.

Step-by-step explanation:

The given dot plot is attached.

From the dot plot, there is no participant aged 13. Therefore, the mode of the ages cannot be 13. The mode is actually 15.

Therefore, Option C is not supported by the dot plot.

Answer:

C

Step-by-step explanation:

Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!

Answer:

I think the answer is 3. Im not fully sure/

Step-by-step explanation:

Answer:

g = -13

Step-by-step explanation:

5(g-2)+g=6(g-4)

5g - 10 + g = 6g - 24

5g + g - 6g = -24 + 10

6g - 6g = -13

g = -13

Answer:

A. 1/5

B. 60 times

Step-by-step explanation:

The theoretical probability that the pointer(a) is 1/5 and the pointer will land in a section labeled with the letter A after 300 spins (b) is 60

We have given that the Samira is playing a game with the spinner shown.

We have to deterine the theoretical probability that the pointer will land in a section labeled with the letter A on a given​ spin.

This probability is equal to the amount of '1's divided by the total amount of numbers on the spinner.

Thus,The theoretical probability that the spinner is 1/5.

and also the pointer will land in a section labeled with the letter A after 300 spins.

Therefore we get,

[tex]1/5\times 300/1=300/5=60[/tex]

To learn more about the probability of spinner visit:

https://brainly.com/question/3765462

Answer

Step-by-step explanation:

To find the area of a shape multiply its height by its width. For a square  you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

please mark me as brainliest.

Answer:

[tex]7 units^2[/tex]

Step-by-step explanation:

You can split this irregular shape into a square and a trapezoid.

The formula for a square is:

[tex]A=lw[/tex]

The formula for a right trapezoid:

[tex]A=\frac{1}{2} (h)(a+b)[/tex]

Area of square:

[tex]A=(2)(2)\\A=4[/tex]

Area of right trapezoid:

[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]

Add up the individual areas to find the overall:

4 + 3 = 7

Answer:

x ≤ 63.4

Step-by-step explanation:

.25x+4.15 ≤20

Subtract 4.15 from each side

.25x +4.15 -4.15 ≤ 20-4.15

.25x ≤ 15.85

Divide each side by 15.85

.25x/.25 ≤ 15.85/.25

x ≤ 63.4

y = 1.25 x equation shows the  correct relation of x

What is linear graph?

Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.

According to the question,

Cost of apples, y, varies directly with pounds

of apples purchased, x.

y = k. x

k is constant of proportion

Four pounds of apples cost $5

5 = 4. k

k = 5/4 = 1.25

As it should be, k is a constant equal to 1.25

y = 1.25 x  for 4 pounds of apples

Hence, y = 1.25 x equation shows the  correct relation of x

To learn more about linear equation from here

https://brainly.in/question/2869899

#SPJ2

Answer:

B. 1/16

Step-by-step explanation:

[tex] \frac{ {4}^{7} }{ {4}^{9} } = {4}^{7} \div {4}^{9} = {4}^{(7 - 9)} \\ = {4}^{ - 2} = \frac{1}{ {4}^{2} } = \frac{1}{4 \times 4} = \frac{1}{16} [/tex]

The answer is 1/16, option B

Answer:

[tex]\tt{} \frac{1}{16} [/tex]

Step-by-step explanation:

[tex]\tt{} \frac{ {4 }^{7} }{ {4}^{9} }[/tex]

[tex] \tt{} \frac{1}{ {4}^{(9 - 7)} } \\ \\ \tt{} \frac{1}{ {4}^{2} } \: \: \: \: \: \: \: \: \: [/tex]

[tex] \tt{} \frac{1}{4 \times 4} \\ \\ \tt{} \frac{1}{16} \: \: \: \: \: \: [/tex]

Answer:

x=30, A=132

Step-by-step explanation:

These 2 angels are alternate interior angles so they are equal

5x-18=3x+42

Solve.

2x=60

x=30

Now substitute x into angle A

A=150-18

A=132

Answer:

The variable X should be 30.

Step-by-step explanation:

∠132=5(30)-18° = ∠132=3(30)+42°

Answer:it is 1/2

Hopefully this helps

Answer:

Event A: stops on red

Event B: stops on yellow

Find P(A or B)

1/2

Step-by-step explanation:

Area of the parallelogram=bh

b=20cm

h=12cm

Area=12*20=240cm²

is there a picture to this??