Elise is investing 10,000 in an account that earns 2.25% simple interest. How many years will it take to have a balance of 12,700 in her account, if she does not add or withdraw from the account?

Answer:

80.6 m

Step-by-step explanation:

Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.

Length of the shortcut can be found by using distance formula between two points P and Q.

Length of the shortcut

[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]

Answer:

[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]

Step-by-step explanation:

This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.

We are given angle A which measures 37 degrees.

Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.

We should use tangent.

[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]

[tex]tan37= \frac {48}{x}[/tex]

Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.

[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]

[tex]tan37*x=48*1[/tex]

[tex]tan37*x= 48[/tex]

x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.

[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]

[tex]x= \frac{48}{0.7535540501}}[/tex]

[tex]x=63.69815144[/tex]

Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.

[tex]x\approx 63.7[/tex]

The unknown side is approximately 63.7 units long.

Answer:

216

Step-by-step explanation:

V = whl =9 · 4 · 6 = 216

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

Answer:

7

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Use the Intersecting chord theorem;

Rule: (CE) * (EB) = (AE) * (ED)

CE = x

EB = 15

AE = 9

ED = 10

=> (x) (15) = (9) (10)

15x = 90

Now Divide each side with 15

=> x = 6

Hope this helps!

Answer:

can you please give more info

Step-by-step explanation:

Agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.

As we can see in the histogram of Mrs. Jamisos class and Mr. Zimmermann's class, there is fewer data on the right side, hence it is right side skewed.

Thus, agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

Learn more about the histogram here:

brainly.com/question/16819077

#SPJ2

Answer:

It's C

Step-by-step explanation:

Because if you look at the other numbers they all add up to the next number by 4. 4+4=8  8+4=12  12+4=16  16+4=20  20+4=24

Therefore, x intercept is 24 and y intercept is 18. Hope this is correct if it's not  correct then I'm very sorry. Have a nice day. ;)

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

Answer:

The answer is 9

Step-by-step explanation:

√25 = 5

√16 = 4

Now,

√25 + √16

5 + 4 = 9

Thus, The answer is 9

-TheUnknownScientist

Answer:

9

Step-by-step explanation:

First step is to simplify the radicals

√25=5

√16=4

5+4=9

Answer:

Third Option

Step-by-step explanation:

The triangles are congruent.

Answer:

the answer is C

Step-by-step explanation:

if you read the story again you will see why

Answer:

3x=78+x-2

Step-by-step explanation:

Answer:

28.26[tex]in^{2}[/tex]

Step-by-step explanation:

Given,

Radius of the circle = 3in.

Area = ?

They have told us to use 3.14 for [tex]\pi[/tex]

Area formula = [tex]\pi r^{2}[/tex]

=> 3.14 * 3 * 3

=> 3.14 * 9

=> 28.26[tex]in^{2}[/tex]

Therefore the area of the circle is  28.26[tex]in^{2}[/tex]

Hope it helps :)

Answer:

28.26

Step-by-step explanation:

You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.

Answer:

a) 5units

b) (4.5, 4)

Step-by-step explanation:

Let the coordinate of P and Q be P(3, 2) and Q(6, 6)

PQ can be gotten using the distance formula;

PQ =√(6-2)²+(6-3)²

PQ = √4²+3²

PQ =√16+9

PQ =√25

PQ = 5units

Midpoint M is  expressed as;

M(X, Y) = {(x1+x2)/2, y1+y2/2}

X = x1+x2/2

X = 3+6/2

X= 9/2

X = 4.5

Similarly;

Y = y1+y2/2

Y = 2+6/2

Y = 8/2

Y = 4

Hence the midpoint of PQ is (4.5, 4)

Answer:

x = 24/5 - 2y/5

Step-by-step explanation:

Answer:

1. An odd number of factors were negative

Step-by-step explanation:

The first is true.

If an odd number of factors were negative, you have a negative result.

When you divide a negative by a negative you have a positive.

In this case when you divide the negative product by - 2 you have a positive.

1st graph all the negative & positive numbers

The opposite of 2 is -2 because it's a negative number ( opposite of 2 )

Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

Answer:

74% (answer).

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%

Answer:

Indeed, the given triangle is a right triangle.

Step-by-step explanation:

A triangle is formed by the following three points: [tex]A(x,y) = (x_{1}, y_{1})[/tex], [tex]B(x,y) = (x_{2}, y_{1})[/tex] and [tex]C(x,y) = (x_{2}, y_{2})[/tex]. Then, we construct the following vectors:

[tex]\overrightarrow {BA} = (x_{2}-x_{1}, y_{1}-y_{1})[/tex]

[tex]\overrightarrow{BA} = (x_{2}-x_{1}, 0)[/tex] (1)

[tex]\overrightarrow{BC} = (x_{2}-x_{2}, y_{2} - y_{1})[/tex]

[tex]\overrightarrow{BC} = (0, y_{2}-y_{1})[/tex] (2)

If triangle ABC is a right triangle, then [tex]\overrightarrow{BA}\,\bullet\,\overrightarrow{BC} = 0[/tex]. By (1) and (2) we have this expression:

[tex](x_{2} - x_{1})\cdot (0) + (0)\cdot (y_{2} - y_{1}) = 0[/tex]

Therefore, the given triangle is a right triangle.

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

Answer:

x = 2

y = -3

Step-by-step explanation:

2x + 2y = -2, then 2y = -2 - 2x

3x - 2y = 12, then 2y = 3x - 12

so:

-2 - 2x = 3x - 12

add 2x and 12 to each side of the equation:

5x = 10

divide both sides by 5:

x = 2

2y = 3(2) - 12

2y = -6

divide both sides by 2:

y = -3

Answer:

I, J

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

432/27=16

Answer:

x=6 degrees

Step-by-step explanation:

I know that 31+(10x-1)=90. Then I have to subtract 31 from 90 to get 10x -1.

That's 59. I solve for x in the equation 59=10x-1.

That is the same thing as 60=10x, which is also the same as 6=x.

Answer:

X=12

Step-by-step explanation:

since it is an isosceles triangle opposite sides are congruent which means 7x+24=13x-48 you then would need to subtract either the whole numbers or the variables from each side so add 48 on each side it equals to 7x+72=13x then subtract 7x from 13x and you get 72=6x divide both sides 6/6=x, 72/6 Therefore x=12 HOPE that helped mark me brainiest pls

Answer: x = 12

Step-by-step explanation:

There are two triangles. The two vertical lines on the legs at the top indicate that those two sides are congruent or equal to each other. The line down the middle with the right angle box shows that the two triangles share a common side. This would show the two triangles are congruent through Side/Angle/Side. This would indicate that the two sides with equations are equal to each other. That being said, you can setup the equations to equal one another to solve for x:

[tex]7x + 24 = 13x - 48[/tex]

Now, you would just solve this like a normal equation. I would subtract the 7x from both sides a well as add the 48 to both sides. This would result to: [tex]72 = 6x[/tex]

Dividing both sides by 6 would get you:

[tex]x = 12[/tex]

Answer:

y = 18

Step-by-step explanation:

15/-5 = y/-6

cross-multiply:

-5y = -90

y = 18

Answer:

D I think,

Step-by-step explanation: