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yan [13]
3 years ago
9

Megan invested in ten bonds of total face value of $1.000, issued by Zen Corporation. The bonds paid 10 percer semiannual (5% ev

ery 6 months) interest till the maturity date, which of the following is the value of interest earned in the first installment on a single bond? A) $50 B) $100 C) $500 D) $90 E) $75
Mathematics
1 answer:
allsm [11]3 years ago
7 0

Answer:

$50 is the value of interest earned in the first installment on a single bond

Step-by-step explanation:

Applying Interest earned in the first installment on a single bond ;

= PRT/100

P = $1.000

R = 5%

T = 1

Plugging the values in the equation ;

Interest = 1000 x 5 x 1 /100

= $50, hence option A is the correct one.

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Use a calculator to find a decimal approximation for the following trigonometric function sin 28°48
Bumek [7]

The decimal approximation for the trigonometric function sin 28°48' is

Given the trigonometric function is sin 28°48'

The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.

To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°

sin (28°48') = sin(28° ₊ (48 × 1/60)°)

= sin(28° ₊ (48 /60)°)

= sin(28° ₊ 4°/5)

= sin(28° ₊ 0.8°)

= sin(28.8°)

= 0.481753

Therefore sin (28°48') is 0.481753.

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2 years ago
Solve the following system of equations:
antoniya [11.8K]
I think the answer is B
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3 years ago
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Find the total surface area of this cuboid,<br> 5 cm<br> 4 cm<br> 6 cm
Tatiana [17]

Answer:

148

Step-by-step explanation:

Sa=2(lw+lh+wh)

Sa=2(4*5+4*6+5*6)

148=2(4*5+4*6+5*6)

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Sketch the algebra-tile shape at right on your paper. Write an expression for the
Dima020 [189]

Answer:

Part 1) P=(4x+4)\ units

Part 2)

a) P=32\ units

b) P=26\ units

c) P=13\frac{1}{3}\ units

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Part 1) Write an expression for the  perimeter of the shape

we know that

The figure is composed by a larger square, a rectangle and a smaller square

1) The area of the larger square is given

A=x^2\ units^2

so

The length and the width of the larger square is x units

2) The area of the rectangle is given

A=x\ units^2

so

The length of the rectangle is x units and the width is 1 unit

3) The length and the width of the smaller square is x units

see the attached figure N 2 to better understand the problem

Find out the perimeter

The perimeter is the sum of all the sides.

so

P=(x+x+x+x+1+1+1+1)

P=(4x+4)\ units

Part 2) Find the perimeter for each of the given values of x.

a) For x=7 units

Substitute the value of x in the expression of the perimeter

P=(4(7)+4)=32\ units

b) For x=5.5 units

Substitute the value of x in the expression of the perimeter

P=(4(5.5)+4)=26\ units

b) For x=7/3 units

Substitute the value of x in the expression of the perimeter

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8 0
3 years ago
The circumference of a circle can be found using the formula C = 2r. Which is an equivalent equation solved for r? r = C r = C(2
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Answer:

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Step-by-step explanation:

we know that

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That means -----> isolate the variable r

Divide by 2π both sides

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Simplify right side

\frac{C}{2\pi}=r

Rewrite

r=\frac{C}{2\pi}

so

r equals StartFraction C Over 2 pi EndFraction

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3 years ago
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