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3 years ago

The expression 2,500(1.095)x represents the value of an investment after x years. What is the meaning of the 2,500?

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Answer:

The value of the investment

Step-by-step explanation:

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The cost of admission to a popular music concert was $122 for 11 children and 3 adults. The admission was $102 for 6 children an

gladu [14]

Answer:

Step-by-step explanation:

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3 years ago

I need help with this question

kotegsom [21]

Answer:

The Answer Is 1

Step-by-step explanation:

5 0

3 years ago

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If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?

Serga [27]

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, $a*b = x*y$

Thus:

$8*5 = 4*(6m - 2)$

Solve for m

$40 = 24m - 8$

$40 + 8 = 24m - 8 + 8$

$48 = 24m$

$\frac{48}{24} = \frac{24m}{24}$

$2 = m$

The value of m = 2

3 0

3 years ago

Brady made a scale drawing of a rectangular swimming pool on a coordinate grid. The points (-20, 25), (30, 25), (30, -10) and (-

djverab [1.8K]

Answer:

Length = 50 units

width = 35 units

Step-by-step explanation:

Let A, B, C and D be the corner of the pools.

Given:

The points of the corners are.

$A(x_{1}, y_{1}})=(-20, 25)$

$B(x_{2}, y_{2}})=(30, 25)$

$C(x_{3}, y_{3}})=(30, -10)$

$D(x_{4}, y_{4}})=(-20, -10)$

We need to find the dimension of the pools.

Solution:

Using distance formula of the two points.

$d(A,B)=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ ----------(1)

For point AB

Substitute points A(30, 25) and B(30, 25) in above equation.

$AB=\sqrt{(30-(-20))^{2}+(25-25)^{2}}$

$AB=\sqrt{(30+20)^{2}}$

$AB=\sqrt{(50)^{2}$

AB = 50 units

Similarly for point BC

Substitute points B(-20, 25) and C(30, -10) in equation 1.

$d(B,C)=\sqrt{(x_{3}-x_{2})^{2}+(y_{3}-y_{2})^{2}}$

$BC=\sqrt{(30-30)^{2}+((-10)-25)^{2}}$

$BC=\sqrt{(-35)^{2}}$

BC = 35 units

Similarly for point DC

Substitute points D(-20, -10) and C(30, -10) in equation 1.

$d(D,C)=\sqrt{(x_{3}-x_{4})^{2}+(y_{3}-y_{4})^{2}}$

$DC=\sqrt{(30-(-20))^{2}+(-10-(-10))^{2}}$

$DC=\sqrt{(30+20)^{2}}$

$DC=\sqrt{(50)^{2}}$

DC = 50 units

Similarly for segment AD

Substitute points A(-20, 25) and D(-20, -10) in equation 1.

$d(A,D)=\sqrt{(x_{4}-x_{1})^{2}+(y_{4}-y_{1})^{2}}$

$AD=\sqrt{(-20-(-20))^{2}+(-10-25)^{2}}$

$AD=\sqrt{(-20+20)^{2}+(-35)^{2}}$

$AD=\sqrt{(-35)^{2}}$

AD = 35 units

Therefore, the dimension of the rectangular swimming pool are.

Length = 50 units

width = 35 units

7 0

3 years ago

You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is

sveticcg [70]

Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a $30*1.26=37.8$ cm model. Dividing this by how tall each toothpick is, you'll get:

$\frac{37.8}{6.3} =6$

ANSWER: The model would be 6 toothpicks tall.

To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:

$\frac{37.8}{7.7} =5$

ANSWER: The model would be 5 cotton swabs tall.

4 0

3 years ago