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3 years ago

Solve the equation for A 2 ( a - 5 ) = - 2 a = ?

Mathematics

2 answers:

Reika [66]3 years ago

5 0

Multiply, then you get 2a - 10 = -2. Then isolate the variable by adding 10 on both sides. you get 2a = 8. divide both by 2 and you get a = 4

omeli [17]3 years ago

4 0

Multiply 2 and a, then 2 and 5.
Rewrite.
Subtract 10 from both sides.
Rewrite.
Divide both sides by 2.
Rewrite.
You get your final answer!!

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How to Increase 8 by 9.4%

Fed [463]

Answer:

75.2

Step-by-step explanation:

multiple 8 by 9.4

4 0

3 years ago

Graph the equation Y = 2X +4

Klio2033 [76]

Hope this helps you

8 0

3 years ago

Evaluate 17s^2 + 32s +180

dezoksy [38]

Answer: 66s + 180

How:

17 s ^ { 1 } 2 + 32 s + 180
Calculate s to the power of 1 and get s.

17s\times 2+32s+180
Multiply 17 and 2 to get 34.

34s+32s+180
Combine 34s and 32s to get 66s.

Final answer should be 66s + 180

7 0

3 years ago

Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e

umka21 [38]

Answer:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

Step-by-step explanation:

You have the following differential equation:

$e^t(7y-3t)dt+(2+7e^t)dy=0$

This equation can be written as:

$Mdt+Ndy=0$

where

$M=e^t(7y-3t)\\\\N=(2+7e^t)$

If the differential equation is exact, it is necessary the following:

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}$

Then, you evaluate the partial derivatives:

$\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}$

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

$F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)$ (1)

Next, you derive the last equation respect to t:

$\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)$

however, the last derivative must be equal to M. From there you can calculate g(t):

$\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]$

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

$F(t,y)=(2+7e^t)y+3(1-t)e^t +C$

where C is the constant of integration

8 0

3 years ago

Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing

pav-90 [236]

T = 6 years

Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation

t = (1/0.075)((725/500) - 1) = 6
t = 6 years

The time required to get
a total amount, principal plus interest, of $ 725.00
from simple interest on a principal of $ 500.00
at an interest rate of 7.5% per year
is 6 years.

5 0

3 years ago