Answer:
100% --- x
75% --- 18
knowing that you have to multiply the 100 with 18 and 75 with x
75x = 100 . 18
75x = 1800
x = 1800 : 75
x = 24
Step-by-step explanation:
so there are 24 people in the classroom
Answer:
A. Yes. Each x value has only one y value. No x value has 2 different y values.
B. For the table, y is 8 when x is 11.
Plug in the value to determine the y value for the equation.
f(x)= 5(11)-21
f(x)= 55-21
f(x)= 34
Since 34>8, the value of the equation f(x) is greater when x=11.
C. 99=5x-21
120=5x
x=24
Final answer: 24
Step-by-step explanation:
Answer:
Ans. The price of the bonds on December 31, 2021 discounted at 6% is $99,170,444
Step-by-step explanation:
Hi, we need to use the following formula to find the present value of the bond, which is the same as saying, discount all future cash flows to present value.
Where:
r= discount rate (in our case 6% or 0.06)
Coupon =$115,000,000*0.05=$5,750,000
n= periods of payment (in our case, 30 years or just 30)
Everything should look like:
The price of the bond to the nearest whole dollar is $99,170,444
Best of luck.
First find the area of the sector, which includes the shaded region's area and the area of the triangle JKL. Let be the area of the sector. This area occurs in a fixed ratio with the area of the entire circle based on the measure of the central angle subtended by the arc LK:
To get the area of the shaded region, subtract from the area of the triangle.
The area of a triangle is 1/2 the base times the height. If we bisect the central angle with a line segment that meets the side KL at its midpoint, then we get a right triangle with hypotenuse 27 and one angle of measure 27º (half of the central angle). This triangle has base and height such that
So the right triangle has area approximately 1/2*12.258*24.057, or about 147.443. Triangle JKL is made up of two of these right triangles, so it has area of 294.887.
Subtracting this from gives an area of the shaded region of about 48.472, which we round up to 48.5.
Answer:
consistent
Step-by-step explanation:
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