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zloy xaker [14]
3 years ago
5

Rachel had a loan for $4,000 loan for 4 years.

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

9514 1404 393

Answer:

  3.8%

Step-by-step explanation:

The interest on a simple-interest loan is ...

  I = Prt

where P is the principal value, r is the annual rate, and t is the number of years.

Solving for r, we get ...

  r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%

The annual interest rate for the loan was 3.8%.

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Step-by-step explanation:

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Read 2 more answers
Find the angle measure indicated to the nearest tenth:
makvit [3.9K]

Step-by-step explanation:

Sin<D = Opposite / Hypotenuse

Opposite - EC

Hyp - DE

Sin<D = EC/DE = x/9

we need x to find <D.

so -->Use pythagorean theorem.

DE^2 = EC^2 + DC^2

DE = 9 DC = 7 EC = ?

EC^2 = DE^2 - DC^2 rearranged.

= 9^2 - 7^2

= 81 - 49

EC^2 = 32 Put both sides under square root.

√(EC^2) = √32

EC = 4√2 ~ 5.65.

We now have X which was representing the unknown side EC.

Sin<D = EC/DE = 5.65/9 = 0.627

To find <D Take the sine inverse of of 0.627.

<D = Arcsin(0.627) = 38.82°.

We now know <D. It's <E's turn.

A right angle triangle has a summation of interior angles of 180°.

thus, <em><D + <C + <E = 180°</em>

38.82° + 90° + <E = 180°

128.82° + <E = 180°

subtract both sides by 128.82°

0 + <E = 180° - 128.82°

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6 0
2 years ago
Add by changing the fractions to equivalents fractions. 2 2/3 + 2/3​
kolezko [41]

Answer:1234567890poiuytrewqasdhjklzxcvbnm

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Step-by-step explanation:

0987654321qazxcvbnm,.;lkjhgfdsaqw34rtyuiop09i8u76ttr5r4ew3wq1qazxcvcxswertfdfghtgbnhyujmm,kiol./;p0987654321qazxsw23edfvfe34rthnbgr444rgbbgr45tyjmmmmnhtyujmjuikkkkklo

3 0
3 years ago
Alfonso leans a 20 ft ladder long against the wall with a base of 6 feet from the wall. How far up the wall does the ladder reac
jolli1 [7]

Answer:

19.1 ft

Step-by-step explanation:

-This a Pythagorean theorem problem given by the function:

b^2+h^2=H^2

Where

H is the Hypotenuse length

h is the perpendicular height

b is the base length.

#Given that H=20 ft and base length,b =6 ft, the perpendicular height is calculated as:

h^2+b^2=H^2\\\\h^2=H^2-b^2\\\\h^2=20^2-6^2=364\\\\h=\sqrt{364}\\\\=19.0788\approx 19.08\ ft\approx 19.1 \ ft

Hence, the ladder reaches the wall at a height of 19.1 ft

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3 years ago
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