Answer:
<h2>n < 43</h2>
Step-by-step explanation:
n + 19 < 62 <em>subtract 19 from both sides</em>
n + 19 - 19 < 62 - 19
n < 43
Answer:
$18.28
Step-by-step explanation:
Step one:
given data
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag
let the total money be x
so mathematically
x-1/8*x= 16
solve for x
x-x/8= 16
8x-x/8= 16
7x/8=16
cross multiply
7x= 8*16
7x=128
divide both sides by 7
x=128/7
x=$18.28
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45
Answer:
<em>The angle of elevation of the sun is 32°</em>
Step-by-step explanation:
<u>Right Triangles</u>
The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.
Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.
The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:
Calculate x by using the inverse tangent:
The angle of elevation of the sun is 32°
Answer:
3 - (-7)
= 3 + 7.
Step-by-step explanation:
A double negative is equivalent to a plus.
