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Genrish500 [490]
3 years ago
7

1. You decide to invest $100,000 in a program that is guarabteed to grow by 2.5% for each of the next 5 years. At the end of the

5 years, how much is your investment worth
Mathematics
1 answer:
ozzi3 years ago
3 0

Answer:

$113,140.821

Step-by-step explanation:

The <em>growth of an investment</em> is given by P(1+r)^{n} where P is the principal, r is the interest rate, and n is the number of periods. So

Future value = 100,000 ( 1+0.025)^{5}

Future value=$113,140.821 as the amount after 5 years.

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Translate this inequality as SENTENCE :- x + 5 ≥ 10 <br>​
Scorpion4ik [409]

Answer:

A number plus 5 is greater then or equal to 10.

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I'm really stuck on this:/
JulsSmile [24]

Answer:

9.2

Step-by-step explanation:

put the 4 in for the c. it becomes 16. then subtract

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Factor 2m^3-12m^2+18m completely
Nina [5.8K]

Answer:

The answer is A.

Step-by-step explanation:

Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :

2 {m}^{3}  - 12 {m}^{2}  + 18m

= 2( {m}^{3}  - 6 {m}^{2}  + 9m)

= 2m( {m}^{2}  - 6m + 9)

Next you have to factorise the brackets :

{m}^{2}  - 6m + 9

=  {m}^{2}  - 3m - 3m + 9

= m(m - 3) - 3(m - 3)

= (m - 3)(m - 3)

=  {(m - 3)}^{2}

So the final answer is :

2m {(m - 2)}^{2}

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3 years ago
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Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.
GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

So, m∠C = m∠A + 30° = y+30

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

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3 years ago
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