Make the number sentence true 5/10=blank/100

Answer:

C.$10,000

Step-by-step explanation:

Let X be the amount of initial investment, 6.5% be the compound interest, n=18years and $31,066 as the final amount:

#Using compound interest:

[tex]A=P(1+i)^n\\\\\Where \ A=31066,i=6.5\%, n=18,P=X\\\\31066=P(1+6.5\%)^{18}\\\\31066=P(1.065)^{18}\\\\P=\frac{31066}{3.106654}\\\\P\approx10000[/tex]

Hence, the amount initially ionvested is $10,000

He will take the loan from Company B.

Step-by-step explanation:

Given,

For Company A

Principal (P) = Rs 75000

Time (T) = 2 years

Rate of interest (R) = 10%

For Company B

Principal (P) = Rs 75000

Time (T) = 2 years

Rate of interest (R) = 8%

To find the amount of the loan he has to pay for both the companies.

Formula

Amount =P [tex](1+\frac{R}{100} )^{T}[/tex]

Amount= P[tex](1+\frac{R}{100Xn} )^{nT}[/tex]

For Company A

Amount = 75000[tex](1+\frac{10}{100}) ^{2}[/tex] [ Here, P= 75000, T=2 and R = 10%]

= 194530 (approx)

For Company B

Amount = 75000([tex](1+\frac{8}{200} )^{4}[/tex] [ Here, P= 75000, T=2, n = 2 and R = 8%]

= 87739 (approx)

Hence,

He will take the loan from Company B, because he has to pay less money for this company.

Answer:

X=8y-5

Step-by-step explanation:

Let y be the inverse of x+5/8

Y=x+5/8

Cross multiply

8y=x+5

Substrate 5 from both sides

8y-5=x

Therefore x=8y-5

To calculate the length of the hypotenuse in a right triangle, apply the Pythagorean theorem: c = √(a² + b²). In an example with sides of 9 and 5 blocks, the hypotenuse would be approximately 10.3 blocks, accurate to three significant figures.

To find the length of the third side of a right triangle, known as the hypotenuse, we can apply the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Therefore, the formula to calculate the length of the hypotenuse is c = √(a² + b²).

For example, if the lengths of the two sides are 9 blocks and 5 blocks, we can use this formula to find the length of the hypotenuse:

Note that the result is presented with three significant figures for precision. In real-world applications, such as finding the distance walked in city blocks, this provides a more accurate depiction of the distance.

Answer:

B

Step-by-step explanation:

Answer:

Kevin would be 50 and Sean would be 25

Step-by-step explanation:

Assuming that there is no other information given,

and Kevin is twice as old as sean, and they gotta add up to 75 total

50 + 25 = 75

25x2 = 50

Hope this helped!

Answer:

Kevin is 50 and Sean is 25.

Step-by-step explanation:

Add 25 + 50 = 75

Multiply 25 x 2 = 50

Hope this helps

-Amelia The Unknown

Answer: I have included an image of the correct answer.

They are skew lines

Answer:

C: They are skew

if you cant read upside down.

Step-by-step explanation:

Edge 2021

Answer:

[tex]\displaystyle \frac{4r^2\pi }{9} \text{ cm}^3[/tex]

Step-by-step explanation:

      We will write an expression for the second cone's volume. Let r be equal to the radius of the first cone.

      The volume of a cone can be found with the following formula. Here, h is the height, r is the radius, and V is the volume.

             [tex]\displaystyle V=\frac{1}{3} \pi r^2h[/tex]

      We will substitute our given values and simplify.

             [tex]\displaystyle V=\frac{1}{3} \pi (\frac{1}{3}*r )^2(12)[/tex]

      Square.

             [tex]\displaystyle V=\frac{1}{3} \pi \frac{r^2}{9} (12)[/tex]

      Divide 12 by 3.

             [tex]\displaystyle V=\pi \frac{4r^2}{9}[/tex]

      Move π to the numerator.

             [tex]\displaystyle V=\frac{4r^2\pi }{9}[/tex]

The volume of the new cone, with the same height but one-third of the original radius, is represented by the expression (4 / 9)πr².

The volume of a cone is given by the formula V = (1/3)πr²h.

For a cone with a radius r and height 12 cm, its volume can be expressed as:

[tex]V = (\frac{1}{3})\pi r^2(12) = 4\pi r^2[/tex]

Now, consider a cone with the same height, but with 1/3 of the original radius. Let the new radius be (1/3)r. Using the volume formula again:

[tex]V = (\frac{1}{3})\pi (\frac{1}{3}r)^2(12) = (\frac{1}{3})\pi(\frac{1}{9}r^2)(12) = (\frac{12}{27})\pi r^2 = \frac{4}{9}\pi r^2.[/tex]

Thus, the expression for the volume of the new cone is (4 / 9) πr².

Answer:

250÷4%= x per hour

Step-by-step explanation:

Final answer:

The situation where 250 cells in a Petri dish are increasing at a rate of 4% per hour can be modeled using the equation is 260 cells.

Explanation:

To model the situation where 250 cells in a Petri dish are increasing at a rate of 4% per hour, we use the formula for exponential growth:

N = N0ert

Where N is the future population size after time t, N0 is the initial population size, e is the base of the natural logarithm (approximately equal to 2.71828), r is the growth rate per unit of time, and t is the number of time units.

Here, N0=250 cells, r=0.04 (4% growth per hour, converted to decimal), and t will be the number of hours passed. Let's make t equal to 1 to see the number of cells after one hour:

N = 250e0.04(1)

After one hour, the Petri dish would have:

N = 250e0.04 ≈ 250(1.04081) ≈ 260 cells

Thus, this equation models the exponential growth of the cell population in the Petri dish over time.

Answer:

2.47 m

Step-by-step explanation:

247 cm /100 = 2.47 m

1 m = 100 cm

247 centimeters is equivalent to 2.47 meters

To convert centimeters to meters, we use the conversion factor that 100 centimeters equal 1 meter. This is because the prefix 'centi' in centimeter means 'one hundredth', so 100 centimeters make up 1 meter.

To find the number of meters in 247 centimeters, we divide 247 by 100, because there are 100 centimeters in a meter. This gives us:

247 cm ÷ 100 = 2.47 meters

Therefore, 247 centimeters is equivalent to 2.47 meters.

Answer:

N = 2 1/3

Step-by-step explanation:

N + 2 1/3 = 4 2/3 (Given)

N = 2 1/3 (Subtract 2 1/3 on both sides.)

The equation that represents the data in the table is y = 4x – 2.

Solution:

Take any two point from the table.

Let the points taken are (0, –2) and (3, 10).

[tex]x_1=0, y_1=-2, x_2=3, y_2=10[/tex]

Slope of the line:

[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]$m=\frac{10-(-2)}{3-0}[/tex]

[tex]$m=\frac{12}{3}[/tex]

m = 4

Using point-slope formula,

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=4(x-0)[/tex]

[tex]y+2=4x[/tex]

Subtract 2 from both sides, we get

y = 4x – 2

The equation that represents the data in the table is y = 4x – 2.

Based on the image you sent, the correct answer is: C. x = 110°

Here's why:

The image shows a diagram with two angles marked. One angle is labeled 110°, and the question asks about the measure of angle x.

Since there are no markings or indications otherwise, we can assume that angle x is congruent to the labeled angle.

Therefore, the measure of angle x is also 110°.

The other answer choices are not supported by the information in the image:

A. x > 110°: There's no evidence to suggest that angle x is greater than 110°.

B. x < 110°: There's no evidence to suggest that angle x is less than 110°.

So, angle z will be equal to 110° by vertically opposite angles.

Hence, the correct option will be C. z = 110°.

Answer: 13

Step-by-step explanation:

5+2x

When x=4

5+2(4)

5+8

= 13

Answer:

a and b

Step-by-step explanation:

Yo sup??

the correct answer to this question is option B ie

low frequency and low energy because

it's wavelenght is high so it's frequency will be low and

E=hv

where v is frequency

Hope this helps

Answer:

2.36 in.

Step-by-step explanation:

1 foot is equivalent to 1/80 in.

So 189 feet is equivalent to 189/80 in = 2.36 in.

Answer:

A. Undefined will be your answer

Step-by-step explanation:

Option B:

m∠C = 35°

Solution:

Given data:  

m(ar BD) = 30°  and m(ar AE) = 100°

To find the measure of angle C:  

We know that,

Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.

[tex]$m \angle C=\frac{1}{2}({arc} \ AE-{arc} \ BD)[/tex]

        [tex]$=\frac{1}{2}{( 100^\circ-30^\circ )[/tex]

        [tex]$=\frac{1}{2}\times {70^\circ[/tex]

       = 35°

m∠C = 35°

Option B is the correct answer.

Answer:

Step-by-step explanation: -4.5=a-8

1. add 8 to both sides -4.5+8= 3.5

2. since you added 8 to negative 8 you get zero so it just goes away

3. ANSWER= 3.5=a

Answer: No value for x

Step-by-step explanation:

-5x+10x+3 = 5x+6

5x + 3= 5x +6

Step 1: Combine like terms

5x - 5x = 6-3

0=3

Answer:

42.7

Step-by-step explanation:

Final answer:

To find out how far Antonio drove west, we can use the Pythagorean theorem. The distance driven north (26 miles) and the distance west form the two legs of a right triangle, with the total displacement from starting point (50 miles) as the hypotenuse. Solving the equation, we find Antonio drove approximately 42.70 miles west.

Explanation:

The question asks to determine how far Antonio drove west given that he first drove 26 miles north and then drove west, ending up 50 miles from where he started. This can be solved using the Pythagorean theorem, which relates the lengths of the sides of a right triangle. In this scenario, the distance Antonio drove north and the distance he drove west form the two legs of a right triangle, with the overall displacement from his starting point being the hypotenuse.

To solve the problem, let x be the distance Antonio drove west. We already know the northward distance is 26 miles, and the hypotenuse is 50 miles. Setting up the equation based on the Pythagorean theorem gives us:

26² + x² = 50²

Solving for x:

x² = 50² - 26²

x² = 2500 - 676

x² = 1824

x = √(1824)

x = 42.70 miles

So, Antonio drove approximately 42.70 miles west.

Answer:

I got 38

Step-by-step explanation:

14 - 2 (-6) (2) = 38

Answer:

thats a great answer i got the same

Step-by-step explanation:

After 2.0 years, the 4.0 mg sample decays to 2.0 mg.

After another 2.0 years (total 4.0 years), the 2.0 mg sample decays to 1.0 mg.

And after another 2.0 years (total 6.0 years), the 1.0 mg sample decays to 0.50 mg.

So it takes 6.0 years for 4.0 mg to decay to 0.50 mg.

It takes for a 4.0 mg sample of X to decay and have only 0.50 mg of it remain is 6 years.

It is the continuous disintegration of the matter by the emission of highly penetrating radiation associated with the nucleus.

Given

The half-life of isotope X is 2.0 years.

The half-life of isotope X is 2.0 years.

            Mass                                                 Time period

           4.0 mg                                                       0

           2.0 mg                                                       2

            1.0 mg                                                       4

           0.5 mg                                                       6

Thus, 6 years would it take for a 4.0 mg sample of X to decay and have only 0.50 mg of it remain.

More about the half-life link is given below.

https://brainly.com/question/24710827

If a magazine contains thirteen pages, it means that the pages are numbered from 1 to 13. When you open the magazine to a random page, there are two possibilities for the page number: it can either be two or ten.

Page number in a magazine

In the context of a magazine, the page number refers to the physical numbering of the pages within the publication.

The page number is typically printed near the top or bottom of each page, allowing readers to navigate through the content.

In this case, if you randomly open the magazine to page two, you will find the content printed on that page. Similarly, if you randomly open the magazine to page ten, you will find different content printed on that page.

Answer:

the correct answer is 5.4

The required sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum.

When adding the numbers 7 and -9, we follow the rules of addition with positive and negative numbers. To add a positive number and a negative number, we can think of it as subtraction. In this case, we have 7 + (-9), which is the same as 7 - 9.

To perform the addition, we subtract 9 from 7:

7 - 9 = -2

Therefore, the sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum. In this case, subtracting 9 from 7 gives us -2.

Learn more about sum here;

https://brainly.com/question/17684163

#SPJ6

Answer:

No

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the longest side squared is equal to the sum of the squares of the other 2 sides then the triangle is right.

The longest side = 61, thus

61² = 3721

12² + 60² = 144 + 3600 = 3744 ≠ 3721

Thus these sides do not form a right triangle.

[tex]\boxed{-1<x<5}[/tex]

Option c.

In this exercise we have the following inequality:

[tex]-\mid x - 2 \mid + 9 > 6[/tex]

Step 1. Subtract 9 from both sides:

[tex]-\mid x - 2 \mid + 9-9 > 6-9 \\ \\ -\mid x - 2 \mid > -3[/tex]

Step 2. Multiply by -1 to both sides

[tex]\mid x - 2 \mid < 3 \ \text{The direction of the inequality changes when multiplying by -1}[/tex]

Step 3. Apply property

[tex]\mid x \mid <a \rightarrow -a<x<a[/tex]

So:

[tex]\mid x - 2 \mid < 3 \rightarrow -3<x-2<3 \\ \\ Adding \ 2: \\ \\ -3+2<x-2+2<3+2 \\ \\ \boxed{-1<x<5}[/tex]

So the correct option is C.