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Scorpion4ik
4 days ago
13

Given ED, DB which statements about the figure are true? Check all that apply.

Mathematics
1 answer:
AnnZ [9K]4 days ago
6 0

Response: EB is intersected by DF

A serves as the midpoint of DF

EB acts as a segment bisector

FA=1/2FC.

Detailed explanation:

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Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre
Zina [9171]
To find the solution, we will utilize the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A represents the total amount after t years
tex]P[/tex] indicates the original investment 
r signifies the interest rate expressed in decimal
n shows the frequency of compounding per year
t indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span>P=30000 and t=10. Interest is compounded annually, so n=1. To convert the percentage interest rate into decimal, we divide it by 100%
r= \frac{7.9}{100}
r=0.079
Now, we can insert these values into our formula:
A=P(1+ \frac{r}{n} )^{nt}
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P_{10}=3000(1+0.079)^{10}

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Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
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5 0
1 month ago
In right triangle qrs, angle r is a right angle. The altitude rt is drawn to hypotenuse qs. If qr is 20 and qs is 25 then find t
lawyer [9240]

Answer:

qt's length = 16

Step-by-step explanation:

The problem states that qrs is a right triangle,

where qr = 20

          sr =?

          qs = 25

          qt =?

1)

Calculate sr

hypotenuse² = base² + height²

sq² = sr² + rq²

25² - 20² = sr²

sr = √(25² - 20²)

sr = 15

2)

When altitude rt is dropped to hypotenuse qs, it creates

two right triangles: rtq and rts.

Δrtq

height = rt

base= tq = 25 - x

hypotenuse = qt = 20

Δrts

height = rt

base= ts = x

hypotenuse = sr = 15

Both triangles share the same height, which is rt

Using the Pythagorean theorem:

      Δ rtq                                           Δ rts

hypotenuse² - base² = height²

20² - (25 - x)² = 15² - x²

400 - (625 + x² - 50x) = 225 - x²

400 - 625 - x² + 50x = 225 - x²

-225 - x² + 50x - 225 + x² = 0

-450 + 50 x = 0

50x = 450

x = 450/50

x = 9

Base of Δ rtq = tq = 25 - x

                         tq = 25 - 9

                         tq = 16  

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The asymptote of g(x) represents the asymptote of f(x) shifted six units upwards.
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Given the venn diagram below, what is the correct notation?
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Answer:

D

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