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adell
2 months ago
13

In 5 years, a bank account with a 4.5% annual interest rate earned $3,375 as simple interest. What was the principal amount of t

he account.
Mathematics
2 answers:
zzz [12.3K]2 months ago
8 0

Answer:

$375.00

Step-by-step explanation:


Zina [12.3K]2 months ago
3 0

Answer: $15000

Step-by-step explanation:

The equation for calculating simple interest is given by:-

S.I.=P\times r\times t, where P stands for the principal amount, r is the interest rate, and t represents the duration.

Given: Interest amount = $3,375

Interest rate = 4.5%=0.045

Duration = 5 years

Let P denote the principal amount, which gives us

3375=P\times 0.045\times 5\\\\\Rightarrow\ P=\dfrac{3375}{0.045\times 5}=15000

Thus, the principal sum of the account was $15000.

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Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
PIT_PIT [12445]

Answer:

51.15 cm

Step-by-step explanation:

Data provided

Basin has a depth of 40 centimeters

The angle of the sloping sides is 77°

The calculation for the shortest distance from the tip of the cone to its edge is detailed below:-

The angle will be split and is as follows

\frac{77^\circ}{2}=38.5^\circ

In the initial triangle, we will apply the "Cosine formula" as follows:-

\cos 38.5^\circ=\frac{Base}{Hypotenuse}

cos 38.5^\circ=\frac{40}{Hypotenuse}

\\\\0.782=\frac{40}{Hypotenuse}

\\\\Hypotenuse=\frac{40}{0.782}

=51.15\ cm

4 0
2 months ago
There were 2.605 people at the basketball game. A reporter rounded this number to the nearest hundred from a newspaper article.
Svet_ta [12734]
Rounded to the nearest hundred, 2605 becomes 2600. If it had been 2650 or more, it would have rounded to 2700.
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