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3 years ago

Simplify: 7·(a+5)–30 =

Mathematics

1 answer:

postnew [5]3 years ago

7 0

Answer:

7a + 5

Step-by-step explanation:

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Helppppppp pleaseeeeee

Dahasolnce [82]

Step-by-step explanation:

The area, A, in square yards, of a rectangular garden, is given by the function.

$A(x)=-2x^2+30x$

We know that, the area of the rectangle is given by :

$A=l\times b$

Where l is length and b is breadth

$A=-2x^2+30x\\\\A=2x\times (-x+15)$

Length = 2x

Breadth = (15-x)

For zeoes,

$2x\times (-x+15)=0\\\\x=15$

Length = 15 yards

Breadth = (15-15) = 0 yards

Hence, this is the required solution.

4 0

2 years ago

What is 2/9 = 4/x+8 i dont get this fraction solving

Dmitriy789 [7]

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$\frac{2}{9} = \frac{4}{x + 8} \\$

$\frac{4}{x + 8} = \frac{2}{9} \\$

Inverse both sides

$\frac{x + 8}{4} = \frac{9}{2} \\$

Multiply sides by 4

$4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\$

$x + 8 = 2 \times 9$

$x + 8 = 18$

Subtract sides 8

$x + 8 - 8 = 18 - 8$

$x = 10$

Done...

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3 0

2 years ago

$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

forsale [732]

Answer:

$\$13,107.96$

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

$\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}$