Evaluate the expression given below for x=3 3(2+5x)

Question

ella [17]

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

3 0

3 years ago

How do I get to the answer of this question?

Elena L [17]

Triangle Similarity

We will use the SAS theorem to prove that Triangle TSG and Triangle PHG are similar.

First, we need to define the SAS similarity theorem:

The Side-Angle-Side (SAS) Theorem states if two sides of one triangle are proportional to two corresponding sides of another triangle, and their corresponding included angles are congruent, the two triangles are similar.

To use this theorem, we need to prove:

* Two sides of the triangles are in the same proportion

* The included angle between them is congruent with the other corresponding angle.

In triangle TSG, the longest side has a length of 7.5 + 5 = 12.5 feet

In triangle PHG, the longest (and therefore corresponding) side has a length of 5 feet.

The ratio between them is 12.5 / 5 = 2.5

In triangle TSG, the horizontal length is 4.5 + 3 = 7.5 feet

In triangle PHG, the horizontal (and therefore corresponding) side has a length of 3 feet.

The ratio between them is 7.5 / 3 = 2.5

Since the ratio measured on both corresponding sides is the same, we have satisfied the first condition of the SAS theorem.

The included angle is G, and it's the same for both triangles.

The reflexive property guarantees both triangles have congruent corresponding angles:

Angle G is congruent with (itself) Angle G

Thus, we have met the conditions for the SAS similarity theorem and therefore proven Triangle TSG and Triangle PHG are similar.

3 0

1 year ago

The Nelsons own a home whose market value is $132,000. Their municipality taxes at 70% and the rate is 80 mills or $80 per thous

MrRa [10]

To answer this question you will need to calculate what 70% of the value of the house is because this is what the tax is based on.

0.7 x $132000 = $92400 tax basis

They pay $80 per $1000 in tax basis, so $92400 would be 92.4 groups of $1000.

$80 x 92.4 = $7424 in taxes based on an 80 mills tax rate.

6 0

3 years ago

Read 2 more answers

You decide to take advantage of the current online dating craze and start your own Web site. You know that you have 600 people w

Gnoma [55]

Answer:

1350

Step-by-step explanation:

Given:

Initial number of members = 600

Now,

Expected members = Initial members × ( 1 + r )ⁿ

by geometric progression

here,

r is the growth rate

n is the number of years

thus,

Number of members that expect at the end of 2 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 25%

n = 2 years

Expected members = 600 × ( 1 + 0.25 )²

= 937.5

similarly,

Numbers of members that expect at the end of 3 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 22%

n = 1 years (i.e after the end of 2 year)

Initial members = 937.5 (i.e after the end of 2 years is the initial for the starting of third year )

Expected members = 937.5 × ( 1 + 0.22 )¹

= 1143.75

Numbers of members that expect at the end of 4 year

Expected members = Initial members × ( 1 + r )ⁿ

r = 18%

n = 1 years (i.e after the end of 3 year)

Initial members = 1143.75 (i.e after the end of 3 years is the initial for the starting of fourth year )

Expected members = 1143.75 × ( 1 + 0.18 )¹

= 1349.625

Hence,

Total expected people = 1349.625 ≈ 1350

3 0

3 years ago

Please help me i dont get either one of them i just need one of them. Please shiw steps. Thanks

pychu [463]

NO.4:X=38

NO.5:X=41

NO.6:X=24

5 0

3 years ago