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faust18 [17]
3 years ago
8

Gavin has $50,000 with which to start a new business. He wants to maintain a cash balance of more than $26,000.

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer: the answer is $76,000 dollars.

Step-by-step explanation:

$50,000 + $26,000= $76,000

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The table below shows the number of tickets sold, t, at a high school basketball game, and the amount of money collected, m.
Tresset [83]
m = t2.5

So money equals to tickets sold*2.5

2.5 is each tickets price

If you ask how I found;

$100 / 40 tickets = $2.5
3 0
3 years ago
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
seropon [69]

Answer:

h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}

Step-by-step explanation:

1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration

g(x)=\int_{a}^{x}f(t)dt \:\:a\leqslant x\leqslant b

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

h(x)=\int_{a}^{x^{2}}\sqrt{5+r^{3}}\therefore h'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left (\int_{a}^{x^{2}}\sqrt{5+r^{3}}\right )\\h'(x)=\sqrt{5+r^{3}}\\Chain\:Rule:\\F'(x)=f'(g(x))*g'(x)\\h'=\sqrt{5+r^{3}}\Rightarrow h'(x)=\frac{1}{2}*(r^{3}+5)^{-\frac{1}{2}}*(3r^{2}+0)\Rightarrow h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}

3) To test it, just integrate:

\int \frac{3r^{2}}{2\sqrt{r^3+5}}dr=\sqrt{r^{3}+5}+C

5 0
3 years ago
What is the sign of−1.69+(−1.69)
Talja [164]
-1.69+(-1.69)= -3.38
5 0
3 years ago
Read 2 more answers
The distance d (in feet) that it
Marta_Voda [28]

Answer:

40 mph

Step-by-step explanation:

To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:

168 = 0.05s^2 + 2.2s

0.05s^2 + 2.2s - 168 = 0

Using Bhaskara's formula: we have:

Delta = 2.2^2 + 4*0.05*168 = 38.44

sqrt(Delta) = 6.2

s1 = (-2.2 + 6.2)/0.1 = 40 mph

s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)

So the maximum speed of the car is 40 mph

3 0
3 years ago
The base of a triangular field is 22m. The area of the field is 550m2 . find the height​
Sergio [31]

Step-by-step explanation:

Area of triangular prism =1/2 ×base×height

550=1/2×22×h

h=550/11

h=50m

hope it helps.

6 0
3 years ago
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