Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball
we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,
notice that, our given function is not in standard form i.e
let's make it so
therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:
remove parentheses and change its sign:
simplify multiplication:
simplify division:
so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function
simplify square:
simplify mutilation:
simplify substraction:
hence,
the maximum height of the baseball is 44.1 metres
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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The answer for your problem (1) is 7.41
Answer:
The price of the four wheeler after with the reduction is $3,150.
Step-by-step explanation:
The original price of the Willa = $3500
The reduction percentage = 10%
Now, 10% of $ 3500 = 
So, the reduction amount is $350.
So, the reduced price of Willa = The original price - The reduced price
= $3500 - $350. = $3,150.
Hence, price of the four wheeler after with the reduction is $3,150.
C. He forgot to place a zero in the quotient.
see attachment:
