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Morgarella [4.7K]
3 years ago
10

t="y + 5 = x {?}^{2} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
zimovet [89]3 years ago
3 0
What is your question?
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The value, V (t), in dollars, of a stock t months after it is purchased is modeled by the following equation.
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:V(t)= 42(1-e ^{1.5t} ) +36 is given value in dollars of a stock in t months after it is purchased.

a) Substitute 1 for t

V(1) = 42(1-e^{-1.5} )+36 \\=67.852\\=67.85

V(12) = V(1) = 42(1-e^{-1.5*12} )+36 \\=77.00

b) Find derivative for V

V'(t) = 42(-1.5) e^{-1.5t} )\\\\=-63e^{-1.5t}

c) When V(t) = 75

V(t)=75= 42(1-e ^{1.5t} ) +36\\1-e ^{1.5t=0.9286\\=-2.639

d) As t tends to infinity, exponent being in negative t tends to 0

So V tends to 42(1-0)+36 = 78

3 0
3 years ago
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a pyt
Leni [432]
If all three side lengths are INTEGERS and form PYTHAGOREAN TRIPLE then we know decimals are not allowed

if 24 and 51 are both legs then
24^{2} +  51^{2} =  x^{2}
x = 3177
and squre root of that gives us 56.364.... NOT an integer

So that means one of them is not a leg and since hypotenuse is longer than both legs, 51 must be the hypotenuse so to get the third side

51^{2} -  24^{2}  =  x^{2}[tex] [tex] x^{2}=2025
x=45, leg B

7 0
3 years ago
HELP MEEEE PLEASEEEEEEEEEEEEEE
Agata [3.3K]

Answer:

a = 4

Step-by-step explanation:

a^2 + b^2 = c^2

a= ?

b= 3

c= 5 (c is always the hypotenuse)

*plug in given values

a^2 + 3^2 = 5^2

a^2 + 9 = 25

-9 -9

a^2 = 16

*find the square root

sqrt(a) = sqrt(16)

a = 4

8 0
3 years ago
Read 2 more answers
I am an improper fraction whose numerator and denominator are made of odd digits only. In my simplest form, my representation as
ASHA 777 [7]

Answer:

The fraction is =  \frac{21}{9}

Step-by-step explanation:

In simplest form the fraction is represented in mixed number as 2\frac{1}{3}.

The fraction form of the mixed number can be given as :

2\frac{1}{3}=\frac{7}{3}

Let the fraction be = \frac{7x}{3x} [As multiplying same numbers to numerator and denominator does not affect the proportion.

Sum of numerator and denominator is = 30

This, can be represented as:

7x+3x=30

Solving for x.

10x=30

Dividing both sides by 10.

\frac{10x}{10}=\frac{30}{10}

x=3

So, the fraction will be = \frac{7\times 3}{3\times 3}

⇒ \frac{21}{9}

3 0
3 years ago
A submarine at -28 feet dives 40 feet. what is the submarine's elevation after the dive
Neporo4naja [7]
The submarine is 68 feet below sea level, which is -68
8 0
3 years ago
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