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MissTica
1 year ago
12

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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South Africa broke the world record for largest pizza in 1990. It weighed `26833` pounds
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8,944 hope this helps

5 0
2 years ago
How do you use the associative property to write an expression equivalent to (w+9)+3
m_a_m_a [10]

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

<u>Solution:</u>

Given that, expression is ( w + 9 ) + 3

We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3

The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

(a + b) + c = a + (b + c)

So, now let us apply the above property to the given expression,

Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12

Hence, the equivalent expression for the given expression is w + 12

5 0
2 years ago
Find the perimeter of this quarter circle with radius,
Inga [223]

Answer:

pi

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi

6 0
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)

<em><u>Solution:</u></em>

Given that,

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

We have to factor out terms and write as a product of 2 binomials and monomial

A monomial is a mathematical expression with only one term, while a binomial is a mathematical expression with two terms.

From given expression,

(14x+21y)(6ab-3a) = (14x + 21y)(3 \times 2ab -3a)

3 and a are common factors in second bracket

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

Hence, the product of two binomial is written in two binomial and a monomial

4 0
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,<u> from The property of similar Triangles</u>

\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}

I.e x = 175 cm²

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

4 0
3 years ago
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