Answer:
47 degrees
Step-by-step explanation:
The sum of angles in a triangle must be 180
32+101+x=180
133+x=180
x=47.
Answer:
The final amount is $1109.81
Step-by-step explanation:
In order to find the total amount, start with the know amount, which is Ms. Moore's class. Her class raised $249. Now we can use that to find the amount from Ms. Aguilar's class.
$249 + $396.62 = $645.62
Now we can use the amount from Ms. Aguilar's class to find the amount from Ms. Barry's class
$645.62 - $430.43 = $215.19
Now we can add the three amounts together to find the total amount.
$249 + $645.62 + $215.19 = $1109.81
Answer:
A=SqRt(c^2-b^2)
Step-by-step explanation:
a^2 + b^2 = c^2
rearrange to solve for a^2
a^2= c^2-b^2
take the square root of each side
a= square root (c^2-b^2)
Answer:
a) 
b) 
Step-by-step explanation:
a) 
1. Distribute the second power (2) outside the first pair of parenthesis:

= 
2. Distribute the third power (3) outside the second pair of parenthesis:

= 
3. Combine like terms:

--------------------------------------------
b) 
1. Factor the number 6 (= 2 · 3):

2. Cancel the common factor (2):

3. Cancel out
in the numerator an denominator:

hope this helps!
Based on the amount that Steve Weatherspoon wants to withdraw every year beginning in June 30, 2024, and the interest rate, the balance on June 30th 2023 should be $45,203.
<h3>What should the balance be in 2023?</h3>
The fact that Steve Weatherspoon wants to be able to withdraw a particular amount every year, this makes this amount an annuity.
The value in 2023 would therefore be the present value of the annuity that will then accrue to the required amounts as the years go by.
The present value of an annuity is:
= Annuity amount per year x Present value interest factor of an annuity, 11%, 3 years between 2024 and 2027
Solving gives:
= 13,126.25 x 3.44371
= $45,203
In conclusion, the balance on the fund in 2023 should be $45,203 in order for Steve Weatherspoon to achieve his objectives.
Find out more on the present value of an annuity at brainly.com/question/25792915
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