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2 years ago

Question

Mathematics

1 answer:

ella [17]2 years ago

3 0

Answer:

The money invested into bond is $8000

The money invested into stocks is $17,000

Step-by-step explanation:

* Lets explain how to solve the problem

- Vartan wants to invest $25,000

- He wants to put some of the money into a bond that pays 4% annual

interest and the rest into stocks that pay 9% annual interest

- He wants to earn 7.4% annual interest on the total amount

- We need to know how much money he should invest in each account

- Assume that he will put $x into the bond that pays 4% annual interest

- He will put the rest into stocks that pay 9%

- The rest = 25,000 - x

∴ The money earns = (4/100)(x) + (9/100)(25,000 - x)

∴ The money earns = 0.04 x + 2250 - 0.09 x

∴ The money earns = 2250 - 0.05 x ⇒ (1)

∵ He wants to earn 7.4% annual interest on the total amount

∵ Total amount is $25,000

∴ The money earns = (7.4/100)(25,000)

∴ The money earns = 1850 ⇒ (2)

- Equate (1) ans (2)

∴ 2250 - 0.05 x = 1850

- Add 0.05 x to both sides

∴ 2250 = 0.05 x + 1850

- Subtract 1850 from both sides

∴ 400 = 0.05 x

- Divide both sides by 0.05

∴ x = 8,000

∴ 25,000 - 8,000 = 17,000

∵ x represents the money invested into the bond

∵ 25,000 - x represents the money invested into the stocks

∴ The money invested into bond is $8000

∴ The money invested into stocks is $17,000

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3 0

3 years ago

Read 2 more answers

Could somebody please help me with this?

BARSIC [14]

For this problem, we are going to use the Remainder Theorem. This says that for $x - n$ to be a factor of a polynomial $p(x)$ , then $p(n) = 0$ . Essentially, it says that $x - n$ is a factor if when you substitute $n$ into the polynomial you get a result of 0.

Thus, in our case, when we substitute $x = 2$ into the polynomial, we should get an answer of 0 if $x - 2$ is a factor of the polynomial. Given this information, we can solve for $c$ :

$p(2) = 2^3 - 4(2^2) + 2c + 2 = 0$

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7 0

3 years ago

Read 2 more answers

This is what I need to know

I am Lyosha [343]

$\bf \begin{array}{ccllll}
\$&minutes\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
920,000&46,000,000\\
x&1
\end{array}\implies \cfrac{920,000}{1}=\cfrac{46,000,000}{x}$
so solve for "x", to see how much is the company paying for the purchase of 1 minute

now, they're plan to sell the minute for 8cents, how much is the profit?
that is, the difference from their cost of the cents to the planned selling price.

bear in mind, is 46,000,000 minutes, so whatever value you get for 1minute,
you need to multiply it for 46,000,000 to get the actual cost.

and the revenue from the sell of 8cents per minute, is of course, 8 * 46,000,000

profit = revenue - cost

7 0

3 years ago

If triangle ABC is isosceles and triangle DBE is equilateral what is the measure of angle C

luda_lava [24]

Answer:

43°

Step-by-step explanation:

For triangle ABC:

A = C so all we need to do is to calculate the value of B

The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well

Since DBE is an equilateral triangle angle is DBE = 60°

17 + 17 + 60 = 94 this is the measure of angle B

The sum of interior angles in a triangle is equal to 180

A + B + C = 180

A + C + 94 = 180

A + C = 86 since A = C we divide 86 by 2

C = 43°

6 0

2 years ago

If the square has a side of 3xy, what is the perimeter?

ololo11 [35]

Answer:

12x⁴y⁴

Step-by-step explanation:

3xy + 3xy + 3xy + 3xy = 12x⁴y⁴

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2 years ago