Answer: 42
Step-by-step explanation:
Let A represents the number of freshmen participated in sports and B represents the number of freshmen participated in clubs.
Then , we have given that
Using formula
We have,
Now, the number of students are involved in just sports is given by :-
Hence, 42 students are involved in just sports.
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.
Looks as tho' you may have omitted x^2 by mistake.
If you started out with 0 = 4 - 7x + x^2, then 1x^2 - 7x + 4 = 0.
The coefficients are then {1, -7, 4}. The constant term is 4.
<u><em>Answer:</em></u>
ΔABP is congruent to ΔBAQ
ΔABP ≡ ΔBAQ
<u><em>Explanation:</em></u>
We are given two triangles; ΔABP and ΔABQ
<u>In these two triangles, we have:</u>
AB as a common side
∠ABP = ∠BAQ
AQ = BP
We can conclude that these two triangles are congruent by SAS (side-angle-side) postulate which states that:
"When two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle, then the two triangles are congruent"
Note that when writing congruency statements, the order of the letters is critical as each angle/side in the first triangle must be congruent to its corresponding angle/side in the second triangle.
<u>Based on the above, the congruency statement would be:</u>
ΔABP is congruent to ΔBAQ
Hope this helps :)
Answer:
Ha goood luck
Step-by-step explanation:
Ha goog