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1 year ago

1. Adrian invests $10,000 in an account that increases by 8% each year. What is the balance in the account after 15 years?

Mathematics

1 answer:

TEA [102]1 year ago

6 0

Answer:

$162000

Step-by-step explanation:

8% of 10000

10000÷100=100×8=800

10000+800=10800

10800×15=162000

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How do you use the associative property to write an expression equivalent to (w+9)+3

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Solution:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Write as a product of 2 binomials and a monomial (factor out as much as possible from each binomial):

gayaneshka [121]

$(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)$

Solution:

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$(14x+21y)(6ab-3a)$

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3 years ago

The triangles ABC and DFG are similar and the ratio of their corresponding sides is 6:5. The area of the triangle ABC is greater

Naya [18.7K]

Answer:

The Area of Δ DFG is 175 cm²

The Area of Δ ABC is 252 cm²

Step-by-step explanation:

Given as :

The Δ ABC is similar to the Δ DFG

The area of the triangle ABC is greater than the area of the triangle DFG by 77 cm²

Let The area of Δ DFG = x cm²

So, The area of Δ ABC = ( 77 + x ) cm²

The ratio of corresponding sides of Δ ABC and Δ DEF = 6 : 5

Let The side AB = 6 y

And The side DE = 5 y

Now, from The property of similar Triangles

$\dfrac{area ABC}{area DFG}$ = $\dfrac{AB^{2} }{DE^{2} }$

I.e $\dfrac{77+x}{x}$ = $\dfrac{(6 y)^{2} }{(5y)^{2} }$

Or, $\dfrac{77+x}{x}$ = $\dfrac{36}{25}$

Or, 25 × (77 + x ) = 36 x

Or, 25 × 77 + 25 x = 36 x

Or, 25 × 77 = 36 x - 25 x

Or, 11 x = 25 × 77

∴ x = $\frac{25\times 77}{11}$

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So,The Area of Δ DFG = x = 175 cm²

And The Area of Δ ABC = x + 77 = 175 + 77 = 252 cm²

Hence, The Area of Δ DFG is 175 cm²

And The Area of Δ ABC is 252 cm² Answer

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3 years ago