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34kurt
4 years ago
6

Last year the cost of Mr. patten’s car insurance was 86.80 per month. This year it inscreased by 5 percent. What was the cost of

his insurance after the increase?
Mathematics
1 answer:
marissa [1.9K]4 years ago
3 0

Answer:4.34

Step-by-step explanation:

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Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul
kondaur [170]

Answer:

Calculators from the beginning of the third week to the end of the fourth week = 4048.

Step-by-step explanation:

We know that the rate of production of these calculators after t weeks is given by

\frac{dx}{dt} =5000(1-\frac{100}{(t+10)^{2}})

To find the number of calculators that have been produced in a period, we need to take the integral of the function above; the desired time is t=2 (beginning of third week) to t=4 (end of the fourth week). Therefore, the number of calculators produced in the given time is

\int\limits^4_2 {\frac{dx}{dt} } \, dt = \int\limits^4_2 {5000(1-\frac{100}{(t+10)^{2} }) } \, dt

Substitute t+10=u and dt=du, observe that the limits of integration will change

\int\limits^4_2 {\frac{dx}{dt} } \, dt => \int\limits^{14}_{12} {\frac{du}{dt} } \, dt

5000\int\limits^{14}_{12} { 1-\frac{100}{u^{2} } } \, du

5000(u+100u^{-1})\left \{ {{14} \atop {12}}\right.\\5000(2+\frac{100}{14}-\frac{100}{12} )\\4047.62 ≈ 4048

4 0
3 years ago
Find the next three terms in the sequence.<br> 3, 6, 12, 24,...
Sauron [17]

Answer:

48,96,192

Step-by-step explanation:

We see that each term is twice of the previous term.  Using this principle, we get the next three terms, which are 48,96,192.

3 0
3 years ago
Solve the system of equations: y=2x+1. y=x^2+2x-8
viva [34]

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can anyone answer this? I need help ASAP!!
laiz [17]

Answer: y = 3/5x -5, y=3/5x + - 5

Step-by-step explanation:

Slope = Rise/run

intersect is at -5

8 0
3 years ago
Solve the compound inequality<br> 3t-8/5 and 4-t&lt;-7
Sav [38]

Answer: -2.8

Step-by-step explanation:

3t-(8/5) * 4-t < -7

(15t-8)/5 * 4-t < -7

((15t-8)(4-t))/5 < -7

(15t^2)-28t-32< -7

(15t^2)-28t-32-7< 0

(15t^2)-28t-39< 0

Using the quadratic/almighty formula

t= (-b +- ((b^2)-4ac)^(1/2)/2a)

a=15, b=-28, c=-39

t= (-(28) +- (((-28)^2)-4(15)(-39))^(1/2))/2(15))

t= -2.8 or t= 0.9

Since

t<0, then t= -2.8

8 0
3 years ago
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