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dangina [55]
4 years ago
12

Find the simple interest paid to the nearest cent for each principal, interest rate, and time.

Mathematics
1 answer:
igor_vitrenko [27]4 years ago
3 0

<u>Answer:</u>

The simple interest for $152, 2.5%, 18 month is $5.7

<u>Solution:</u>

Given that, principal amount = $ 152, interest rate = 2.5 % and time period = 18 months.

Now we have to calculate the simple interest for above given values.

We know that, simple interest is given as

=\frac{\text { principal amount } \times \text { interest rate } \times \text { time period in years }}{100}

By substituting the given values, we get

\text { Simple interest }=\frac{152 \times 2.5 \times 18 \mathrm{months}}{100}

By converting 18 months to years we get,

\begin{array}{l}{=\frac{152 \times 2.5 \times \frac{18}{12}}{100}} \\\\ {=\frac{152 \times 2.5 \times \frac{3}{2}}{100}} \\\\ {=\frac{152 \times \frac{3}{2}}{40}} \\\\ {=\frac{76 \times 3}{40}=\frac{19 \times 3}{10}} \\\\ {=\frac{57}{10}=5.7}\end{array}

Hence, the simple interest is $5.7

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Craign has a building block in the shape of a rectangular pyramid .A net of which is shown below.If a measures 12 cm b measures
svetoff [14.1K]

Answer:

<h3>Option  D) 294 sq cm is correct</h3><h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3>

Step-by-step explanation:

First we have to split the net into 4 triangles and 1 rectangle

Given a = 12 cm ,b =  6 cm and d = 13 cm

<h3>To find the surface area of the rectangular pyramid:</h3>

Now find the area of the rectangle base

Rectangle base area=b\times a

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<h3>∴ Rectangle base area=72 sq cm</h3>

Now to find the area of the triangle on the left

Left triangle=\frac{1}{2}(b)(d)

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<h3>∴ Left triangle=39 sq cm</h3>

Since all the triangles are congruent , you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.

Area of left and right triangles= 2(39)

=78 sq cm

<h3>∴ Area of left and right triangles=78 sq cm</h3>

Find the area of the triangle on the bottom

Bottom triangle area=\frac{1}{2}(a)(a)

=\frac{1}{2}(12)(12)

= 72 sq cm

<h3>∴ Bottom triangle area=72 sq cm</h3>

Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top

Area of top & bottom triangles=2 (72)

= 144 sq cm

<h3>∴ Area of top & bottom triangles= 144 sq cm</h3>

Finally add the area of the 4 triangles to the area of the rectangular base we get

=72 + 78 + 144

= 294 sq cm

<h3>∴ the surface area of the rectangular pyramid is 294 sq cm</h3><h3>∴ option D) 294 sq cm is correct.</h3>
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