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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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What is the lateral surface area of the cone?
hoa [83]

Answer:

135 pi centimeters squared

Step-by-step explanation:

Hello!

where la is lateral surface area

first \: the \: formula \: for \: the \: lateral \: surface \: are \: of \: cone \: is \\ la = \pi \times r \times l \\ where \: r = radius \\ l = slant \: height \\ therefore.first \: find \: the \: radius(r) =  \frac{d}{2}  \\ r =  \frac{18cm}{2}  = 9cm \\ so \: as \: we \: have \: the \: radius \: we \: can \: solve \: for \: the \: la \\ la = \pi \times r \times l \\ la = \pi \times (9cm) \times (15cm) \\ la = 135\pi \: cm {}^{2}

4 0
2 years ago
Frieda paid $132 for groceries for her family. This was 1 1/8 as much as she paid for the previous time she shopped. How much di
schepotkina [342]

Answer:

$117.33

Step-by-step explanation:

1 1/8 = 1 + 1/8 = 8/8 + 1/8 = 9/8

She paid 9/8 what she paid the last time.

Let the amount she paid last time equal x.

$132 is 9/8 of x.

9/8 x = 132

8/9 * 9/8 x = 132 * 8/9

x = 117.33

She paid $117.33

7 0
3 years ago
Beatrice calculated the slope between two pairs of points.
kumpel [21]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope between (-3, -2) and (1, 0)

m=\frac{0+2}{1+3}

m=\frac{2}{4}=\frac{1}{2}

Find the equation of the line

y-y1=m(x-x1)

with m and the point (1,0)

substitute

y-0=\frac{1}{2}(x-1)

y=\frac{1}{2}x-\frac{1}{2}

step 2

Find the slope between (-2, -1) and (4, 2)

m=\frac{2+1}{4+2}

m=\frac{3}{6}=\frac{1}{2}

Find the equation of the line

y-y1=m(x-x1)

with m and the point (4,2)

substitute

y-2=\frac{1}{2}(x-4)

y=\frac{1}{2}x-2+2

y=\frac{1}{2}x

<em>Compare the equation of the two lines</em>

The two lines are parallel, because their slope is the same, but are different lines

therefore

Beatrice's conclusion is incorrect

All of these points are not on the same line, because are different parallel lines

The slope between (-2,-1) and (1,0) is equal to \frac{1}{2}

8 0
4 years ago
Read 2 more answers
Suppose two adjacent endpoint of a rotated square are located at (-4, -6) and (5, -1) on the coordinates axes. What is the lengt
Rufina [12.5K]
To find the length of the side of the square, we just need to find the distance between the two endpoints. This problem can quickly be solved by using the distance formula, but for those who are not familiar with it, we can simply solve it by analyzing a triangle.

Take a look at the diagram below. We are interested in x. To find this we have created a right triangle. The horizontal component is just the distance between the x coordinates of the two points while the vertical component is the distance between the y coordinates.

The horizontal component is 9 and the vertical component is 5. We can now get x by using the pythagorean theorem:

x^{2}= 9^{2} + 5^{2} =81+25=106
x= \sqrt{106} which is approximately equal to 10.30 units.

ANSWER: 
The length of the side of the square measures 10.30 units.

8 0
3 years ago
Help!!!!!!!!!!!!!!!!
babymother [125]

Answer:

B

Step-by-step explanation:

To get x by itself, you have to divide each side by the number that x is attached with.

For the first one, divide each side by 3 so that x is by itself and 21/3 is 7 to get x<7

Do the same with the other side but with 5 to get x>11

8 0
3 years ago
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