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2 months ago

Guest #3032

2 months ago

For this case we have an equation of the form:

y = A (b) ^ t

Where,

A: initial amount

b: growth rate

t: time

Substituting values we have:

y = 1800 * (1.07) ^ t

For 15 years we have:

y = 1800 * (1.07) ^ 15

y = 4966.256773 $

**Answer:**

**An exponential to model of the situation is:**

**y = 1800 * (1.07) ^ t**

**the value of the investment after 15 years is:**

**y = 4966.256773 $**

y = A (b) ^ t

Where,

A: initial amount

b: growth rate

t: time

Substituting values we have:

y = 1800 * (1.07) ^ t

For 15 years we have:

y = 1800 * (1.07) ^ 15

y = 4966.256773 $

Question

Solve the equation <(a-5)-5=3

Solution 1

The first step for solving the equation (a - 5) - 5 = 3 is to remove the parenthesis.

a - 5 - 5 = 3

Calculate the difference between -5 and 5.

a - 10 = 3

Now move the constant to the right side of the equation and change its sign.

a = 3 + 10

Add the numbers on the right side together to get your final answer.

a = 13

Let me know if you have any further questions.

:)

a - 5 - 5 = 3

Calculate the difference between -5 and 5.

a - 10 = 3

Now move the constant to the right side of the equation and change its sign.

a = 3 + 10

Add the numbers on the right side together to get your final answer.

a = 13

Let me know if you have any further questions.

:)

Question

Centennial park is evaluating the capacity of the park and have determined that 15 people can comfortably stand in a section that is 5ft by 8ft , the park has dimensions that are 400yds by 200 yds estimate the number of people who can fit in the park

Solution 1

We have been given that 15 people can comfortably stand in a section that is 5ft by 8ft .

Hence, the area of this section is given by

Hence, we can say that 15 people can comfortably stand in an area 40 square feet.

Now, we know that 1 yard is equal to 3 feet.

Hence, the area of the section 400yds by 200 yds is equal to

Now, in 40ft^2, 15 people can stand comfortably.

Hence, in 720000 ft^2, number of people can stand comfortably is

**Therefore, 270000 people can stand in the park of dimension 400 yds by 200 yds**

Solution 2

If you multiply all those numbers you will get 5.76e9 yds

Question

Which expression is not equivalent to the following expression? 15 - 3 + 15 - 3 - 3 + 15
A. 3(15 - 3)
B. 3(15)
C. 3(15 + 3)
D. 3(12)

Solution 1

In the above problem: it appears that the original expression is equal to 36.

A. 3(15-3) = 3(12)=36

B. 3(15) = 45

C. 3(15+3) = 3(18)=54

D. 3(12) = 36

So it looks like choices A and D are equivalent to the original expression.

A. 3(15-3) = 3(12)=36

B. 3(15) = 45

C. 3(15+3) = 3(18)=54

D. 3(12) = 36

So it looks like choices A and D are equivalent to the original expression.

Solution 2

**Answer: D**

**Step-by-step explanation:**

Question

Anna and Alice share a rectangle bedroom that is 18 feet long and 14 feet wide. they split the room into two halves by placing a piece of tape from the northwest corner of the room to the southeast corner of the room. what is the area of each girls half of the room?

Solution 1

The area of the whole room = 14 × 18 = 252

Since they divide it by half, divide the are by 2.

252 ÷ 2 = 126

**Answer = 126 ft²**

Hope this helped☺☺

Since they divide it by half, divide the are by 2.

252 ÷ 2 = 126

Solution 2

126 is the area of one hafe of the room

Question

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 meters. One penguin swims half way around the island before hopping out. How far did the penguin swim?

Solution 1

**Answer:**

10pi

**Step-by-step explanation:**

The answer is 10pi

Solution 2

The penguin swam 10 meters

Question

Nina wants to put color tiles on a square three color tiles fit across the top of the square how many rows and Columns of the squares will Nina need how many color tiles will she use in all

Solution 1

Nina will need 3 columns,3 rows and she will use 9 squares in all.

Hope that helped

Hope that helped

Question

Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain

Solution 1

Rhombus A:

Area = 35 square inches

base = 7 inches

height = 5 inches

Rhombus B:

Area = 315 square inches

base = 21 inches (7**x 3)**

height = 15 inches (5**x 3**)

A = 21 x 15

The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.

Area = 35 square inches

base = 7 inches

height = 5 inches

Rhombus B:

Area = 315 square inches

base = 21 inches (7

height = 15 inches (5

A = 21 x 15

The area of Rhombus B is 9 times bigger than the area of Rhombus A. The reason is that 2 dimensions were tripled, so x3 x3 = 9 times bigger.

Question

How would you solve 1/8 divided by 6

Solution 1

The answer is 12 1/2 or 12.5

Question

16 students joined the soccer club. 5/8 of those students were boys. How many boys joined the soccer club?

Solution 1

5/8 is also equal to 10/16, so out of 16 students, 10 were boys. Multiply the numerator and denominator by 2 to find 10/16, and that is how you find the answer.

Solution 2

10 boys joins the soccer club

Question

Lucy created a design with different shapes. Stars made up 1/4 of all the shapes in the design. Eight ninths of the stars are red. What fraction of all the shapes are red stars?

Solution 1

Stars = 1/4

Red stars = 8/9

Multiply:

1/4 × 8/9 = 8/36 = 4/18 = 2/9

**Answer = 2/9**

Hope this helped☺☺

Red stars = 8/9

Multiply:

1/4 × 8/9 = 8/36 = 4/18 = 2/9

Hope this helped☺☺

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