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astra-53 [7]
2 years ago
6

16. J.D. opened a savings account with $425. After

Mathematics
1 answer:
snow_lady [41]2 years ago
8 0

Answer:

1.2%

Step-by-step explanation:

Solving our equation

r = 10.2 / ( 425 × 2 ) = 0.012

r = 0.012

converting r decimal to a percentage

R = 0.012 * 100 = 1.2%/year

The interest rate required to

accumulate simple interest of $ 10.20

from a principal of $ 425.00

over 2 years is 1.2% per year.

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3 years ago
Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC
e-lub [12.9K]

Answer:

DC=\frac{8}{3}\ units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

BM^2=AB^2-AM^2

we have

AB=5\ units\\AM=x\ units

substitute

BM^2=5^2-x^2

BM^2=25-x^2 -----> equation A

<em>In the right triangle BMC</em>

Applying the Pythagorean Theorem

BM^2=BC^2-MC^2

we have

BC=7\ units\\MC=AC-AM=(9-x)\ units

substitute

BM^2=7^2-(9-x)^2

BM^2=49-(81-18x+x^2)  

BM^2=49-81+18x-x^2

BM^2=-x^2+18x-32 ----> equation B

equate equation A and equation B

-x^2+18x-32=25-x^2

solve for x

18x=25+32\\18x=57\\\\x=\frac{57}{18}

Simplify

x=\frac{19}{6}

<em>Find the length of DC</em>

DC=AC-2x

substitute the given values

DC=9-2(\frac{19}{6})

DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units

8 0
3 years ago
Please help i cant figure this out
rewona [7]

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15

Step-by-step explanation:

First do, 30% + 45% = 75%. Then do, 100-75=25.

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So your answer is, 15.

4 0
3 years ago
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iren [92.7K]

Answer:

It would be 14 because since each book is 3.5cm thick times that by 4 and get 14.

8 0
2 years ago
Read 2 more answers
Trent is drawing a diagram of his house for a school project. He decides that every 5 feet in real life should be 2 inches in th
salantis [7]

Answer:

5 feet (60 inches) proportional to 2 inches is a 30:1 relationship.

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2 years ago
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