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4 years ago

Solve the equation explain how you got your answer

Mathematics

1 answer:

Mariana [72]4 years ago

3 0

Answer:

1 + 9/16

Step-by-step explanation:

2/3 ÷ 4/15 × 5/8

bodmas

division in fractions you invert the denominator and the numerator then multiply like so.

2/3 × 15/4 = 30/12

30/12 × 5/8 = 150/96

change improper fraction to mixed fraction

1 + 54/96

simplify it

1 + 9/16

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• A: Coupon rate = 3.5%, YTM = 4%

Ilia_Sergeevich [38]

Answer:

3.5%YTM=4%IS the answer

4 0

3 years ago

F(x) = x2 – 2x - 8

maw [93]

Answer:

The y-intercept is the point (0,-8)

see the attached figure

Step-by-step explanation:

we have

$f(x)=x^{2}-2x-8$

we know that

The y-intercept is the value of the function f(x) when the value of x is equal to zero

For x=0

$f(x)=0^{2}-2(0)-8\\f(x)=-8$

therefore

The y-intercept is the point (0,-8)

see the attached figure to better understand the problem

5 0

4 years ago

In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec

steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since $\overline{GH} \parallel \overline{DE}$ , by the corresponding angles theorem, $\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED$ . This means $\triangle FGH \sim \triangle FDE$ by AA.

As corresponding sides of similar triangles are proportional,

$\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5$
However, as distance must be positive, we consider the positive solution, x=5.