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horsena [70]
3 years ago
7

Find three consecutive integers whose sum is 96.​

Mathematics
1 answer:
levacccp [35]3 years ago
7 0

Answer:

31,32,33

Step-by-step explanation:

31+32+33 = 96

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What is the value of y?<br> у<br> 60°<br> 80°
Marina86 [1]

Answer: 40

Step-by-step explanation:

The angles form a straight angle, so y = 180 - 80 - 60 = 40.

4 0
2 years ago
A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year in a fund f
Andrews [41]

Answer:

A = \frac{P}{r}\left( e^{rt} -1 \right)

Step-by-step explanation:

This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

                                                \frac{dA}{rA+P} = dt

Integration on both sides gives

                                            \int \frac{dA}{rA+P} = \int  dt

where c is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

                               \int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c

Therefore,

                                        \frac{1}{r} \ln |rA+P| = t+c

Multiply both sides by r.

                               \ln |rA+P| = rt+c_1, \quad c_1 := rc

By taking exponents, we obtain

      e^{\ln |rA+P|} = e^{rt+c_1} \implies  |rA+P| = e^{rt} \cdot e^{c_1} rA+P = Ce^{rt}, \quad C:= \pm e^{c_1}

Isolate A.

                 rA+P = Ce^{rt} \implies rA = Ce^{rt} - P \implies A = \frac{C}{r}e^{rt} - \frac{P}{r}

Since A = 0  when t=0, we obtain an initial condition A(0) = 0.

We can use it to find the numeric value of the constant c.

Substituting 0 for A and t in the equation gives

                         0 = \frac{C}{r}e^{0} - \frac{P}{r} \implies \frac{P}{r} = \frac{C}{r} \implies C=P

Therefore, the solution of the given differential equation is

                                   A = \frac{P}{r}e^{rt} - \frac{P}{r} = \frac{P}{r}\left( e^{rt} -1 \right)

4 0
3 years ago
Write the equation in slope-intercept form.<br> y−1=45(x+5)
aleksandrvk [35]

Answer:

y=45x+226

Step-by-step explanation:

hope that's what you're looking for

have a nice day!!!

5 0
2 years ago
Read 2 more answers
What is 2 1/6 - 3 4/9?
vodomira [7]
To solve the question, first factorize both fraction,which makes:

2 1/6 - 3 4/9
= 2/6 - 12/9
= 1/3-4/3
= -3/3
= -1

Hope ot helps!
8 0
3 years ago
Verify identity : <br><img src="https://tex.z-dn.net/?f=2%20%5Csin%20%7B%7D%5E%7B2%7D%20%28%20%5Calpha%20%29%20%20%2B%20%20%5Cco
ruslelena [56]

Answer:

what is this? math or physics?

Step-by-step explanation:

7 0
2 years ago
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