Need help with all of these questions step by step explanation will be appreciated.

Mathematics

1 answer:

pav-90 [236]3 years ago

8 0

Answer: can’t read it

Step-by-step explanation:

i’m sorry I can’t read that

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Suppose you have $23,000 that you are going to invest at a 7% interest rate compounded quarterly. According to the compound inte

andrew11 [14]

YAAS! I literally learned this just a few weeks ago. (I am not actually a high school senior) First, convert 7% to a decimal, which is 0.07. Then multiply 0.07 by 23,000, giving you 1,610. This is your unit rate. I will though, need you to be more specific on "compounding quarterly" because I actually do not know what that means.

5 0

3 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.