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Mariulka [41]
3 years ago
9

The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, p, a certain interest rate,

r, and over time, t. What is the value for t, after the equation is rearranged?
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0
A=p (1+rt)
T= ((A÷p)-1)÷r
Korvikt [17]3 years ago
7 0

Answer:

t=\frac{A}{pr}-\frac{1}{r}


Step-by-step explanation:

The equation given is A=p+prt

Doing some algebra manipulation, we can solve for t:

A=p+prt\\prt=A-p\\t=\frac{A-p}{pr}\\t=\frac{A}{pr}-\frac{p}{pr}\\t=\frac{A}{pr}-\frac{1}{r}


So t=\frac{A}{pr}-\frac{1}{r}

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Two cars start out together from the same place. they travel in opposite​ directions, with one of them traveling 5 miles per hou
Mashutka [201]
<u>Annotation</u>
General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.


One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5  (first equation)

The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as  (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
\boxed{\boxed{ v_{1}=68mph} }
\boxed{\boxed{ v_{2}=63mph} }
7 0
3 years ago
I need help if you answer my question I’ll give you brainlest
ale4655 [162]

Answer:

(10,0)

Step-by-step explanation:

i hoped this helped you

8 0
2 years ago
Read 2 more answers
Alex needs 2.5 yards of fabric to make a costume for homecoming .how many inches of fabric does he need?
zzz [600]

2.5*36=90 inches

Alex need 90 inches of fabric to make a costume for homecoming.

6 0
3 years ago
100 POINTS!!!! Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It
dangina [55]
Based on the docx you showed me, the equation for the parabola is y = x^2 + 36 and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).

If you use these two points to create a line we get the equation:

y - 6 = \frac{34 - 6}{-2 - 5}(x - 5) (I just used point slope form)

This can be simplified to:

y = \frac{40}{-7}x + \frac{242}{7}

Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept: (0, \frac{242}{7}) and the x-intercept: (\frac{121}{20}, 0).

So our table of value can be:

x          | y
______|________
-2         | 34
0          | 242 / 7
5          | 6
121/20 | 0
3 0
3 years ago
What is the x-intercepts of the function f(x)=-2x2-3x+20
Dmitry [639]
Hey,
The x-intercepts are the coordinates where the line intercepts the x-axis.

x-intercepts:( \frac{16}{3}, 0)

Cheers,
Izzy
5 0
3 years ago
Read 2 more answers
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