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pshichka [43]
3 years ago
9

Solve the formula ..........

Mathematics
1 answer:
Flauer [41]3 years ago
3 0
D=rt for t
÷r both sides
d/r=t
A
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What is the interest amount after borrowing $83,500 at a rate of 4.005% over 6 years? Round your answer to the nearest cent.
nadya68 [22]

Answer:

83,000

Step-by-step explanation:

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3 years ago
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What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4
bija089 [108]

Answer:

(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)

Step by step explanation:

y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2

\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}

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2 years ago
F(x) =3 times square root of (3x + 10) + 2<br> g(x) = x^2- 7x<br> (f of g)(10)=
Naily [24]
Is there a worksheet that goes with it? So I can understand better
7 0
3 years ago
Two pools are being drained. To start, the first pool had 3850 liters of water and the second pool had 4370 liters of water. Wat
SashulF [63]

Answer:

(a)

Amount of water in the first pool (in liters) = 3850 liters - 33 liters per minute * x minutes

Amount of water in the second pool (in liters) = 4370 liters - 43 liters per minute * x minutes

(b)

3850 liters - 33 liters per minute * x minutes= 4370 liters - 43 liters per minute * x minutes

Step-by-step explanation:

(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.

Knowing that, for example, the water from the first pool drains at a rate of 33 liters per minute, then after x minutes, the total water drained will be 33 liters per minute * x minutes. Then:

<u><em>Amount of water in the first pool (in liters) = 3850 liters - 33 liters per minute * x minutes</em></u>

Reasoning in the same way:

<u><em>Amount of water in the second pool (in liters) = 4370 liters - 43 liters per minute * x minutes</em></u>

(b)  Now want to know when the two pools would have the same amount of water.  If they have the same amount of water then you can express:

Amount of water in the first pool = Amount of water in the second pool

Replacing the expressions found in (a):

<u><em>3850 liters - 33 liters per minute * x minutes= 4370 liters - 43 liters per minute * x minutes</em></u>

5 0
3 years ago
The formula
son4ous [18]

Answer:

The truck travel must to have a constant speed of 22.06\ ft/sec

Step-by-step explanation:

we have

d=1.3t^{2}+t+2

where

d expresses a car's distance in feet

t is the number of seconds

<em>Find the distance d for t=8 sec</em>

d=1.3(8)^{2}+8+2=93.2\ ft

<em>Find the distance d for t=8.2 sec</em>

d=1.3(8.2)^{2}+8.2+2=97.612\ ft

The total distance in this interval of 0.2 sec is

97.612-93.2=4.412\ ft

<em>Find the speed of the car</em>

Divide the total distance by the time

4.412/0.2=22.06\ ft/sec

therefore

The truck travel must to have a constant speed of 22.06\ ft/sec

4 0
3 years ago
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