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3 years ago

If $400 is invested at the rate of 6% for one year, what will be the total value of the investment (the amount)?

Mathematics

2 answers:

ASHA 777 [7]3 years ago

4 0

........It's $424.00

yanalaym [24]3 years ago

3 0

Total value
400+(400×0.06)
=424

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. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y

tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

$x+y=5,000$

$x=5,000-y$ -----> equation A

$x \geq 0.25(5,000)$

$x \geq \$1,250$ -----> inequality B

$y \leq 0.50(5,000)$

$y \leq \$2,250$ -----> inequality C

$x \geq \frac{1}{2}y$ -----> inequality D

Substitute equation A in the inequality D and solve for y

$5,000-y \geq \frac{1}{2}y$

Multiply by 2 both sides

$10,000-2y \geq y$

Multiply by -1 both sides

$-10,000+2y \leq -y$

Adds y both sides

$-10,000+2y+y \leq 0$

$-10,000+3y \leq 0$

adds 10,000 both sides

$3y \leq 10,000$

Divide by 3 both sides

$y \leq \$3,333.33$ -----> inequality E

therefore

<em>Solve for y</em>

we have

$y \leq \$2,250$ -----> inequality C

$y \leq \$3,333.33$ -----> inequality E

The solution of inequality C and inequality E is

$y \leq \$2,250$

For y=2,250

x=5,000-y ----> x=5,000-2,250=2,750

$x \geq \$2,750$ -----> inequality F

<em>Solve for x</em>

we have

$x \geq \$1,250$ -----> inequality B

$x \geq \$2,750$ -----> inequality F

The solution of inequality B and inequality F is

$x \geq \$2,750$

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

7 0

3 years ago

If you help, i give brainliest!

topjm [15]

Answer:

m<E = $77^{o}$

Step-by-step explanation:

From the diagram, ΔACE and ΔBDE are similar. So that comparing its angles, we have;

(8x + 4) = (9x - 5)

8x + 4 = 9x - 5

5 + 4 = 9x - 8x

x = 9

Thus,

(8x + 4) = 8(9) + 4 = 76

(9x - 5) = 9(9) - 5 = 76

3x = 3(9) = 27

From ΔACE,

3x + (8x + 4) + m<E = 180 (sum of angles in a triangle)

27 + 76 + m<E = 180

m<E = 180 - 103

m<E = $77^{o}$

3 0

3 years ago

Which of the following is a perfect square trinomial?

Snowcat [4.5K]

Answer:

$x^2-5x+6\\(x-3)(x-2)$

$x^2-3x+4\\(x-4)(x+1)$

$x^2+20x+100\\(x+10)(x+10)\\(x+10)^2$

That's the answer

$x^2+14x-49\\x(x+14)-49$

Only $x^2+20x+100$ is a perfect square trinomial

3 0

3 years ago

Russel wants to buy 3 identical gift cards. He wants to make sure his total cost is no more than $2 above or below $60. Which of

OverLord2011 [107]

Answer is B. took the test!

4 0

3 years ago

The area of circular garden is 706.5 feet2. What is the circumference of the garden? (Use 3.14 for pi .)

Lera25 [3.4K]

Answer:

30 $\pi$ or 94.2 feet

Step-by-step explanation:

Use the area formula to find the radius:

A = $\pi$ r²

706.5 = 3.14r²

225 = r²

15 = r

Then, find the circumference using the formula:

C = 2 $\pi$ r

C = 2 $\pi$ (15)

C = 30 $\pi$

So, the circumference of the garden is 30 $\pi$ or approximately 94.2 feet

8 0

3 years ago