M plus the product of 6 and n
1 answer:
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Answer:
(a)∴A=$6753.71.
(b)∴A=$1480.24
(c) ∴P=$7424.70
(d)∴P=$49759.62
(e)∴P=$5040.99
(f) ∴P=$2496.11
Step-by-step explanation:
We use the following formula
A=amount in dollar
P=principal
r=rate of interest
(a)
P=$2,500, r=5%=0.05,t =20 years , n= 4
=$6753.71
∴A=$6753.71.
(b)
P=$1,000, r=8% =0.08,t =5 years , n= 2
=$1480.24
∴A=$1480.24
(c)
A=$10,000, r=6% =0.06,t =5 years , n= 4
∴P=$7424.70
(d)
A=$100,000, r=6% =0.06,t =10 years , n= 12
∴P=$49759.62
(e)
A=$100,000, r=10% =0.10,t =30 years , n= 12
∴P=$5040.99
(f)
A=$100,000, r=7% =0.07,t =20 years , n= 4
∴P=$2496.11
#1
The two functions are:
and 
so the difference is that -2. Adding or subtracting a constant moves a function up (if the constant is positive) or down (if the constant is negative). So adding -2 means the function will shift down 2 units. That is, the last choice given.
#2
The horizontal distance the rocket travels is given by x. As the rocket is launched and travels a parabolic path up into the sky and back down it moves a certain distance (horizontally) away from where it started. The rocket stops traveling when it hits the ground (when the height y is equal to 0). Therefore, we are being asked to find x when y = 0. We are being asked to solve the equation:
. To solve this we can use the quadratic formula.
The quadratic formula is:
. We need to determine the values of a, b and c from the equation we are trying to solve. a is the coefficient (number in front of) 
, b is the coefficient of x and c is the constant (the number by itself). So in this problem we have:
a=-.06
b=9.6
c=5.4
We need to plug these values into the formula and simplify. Since we are rounding to the nearest hundredth (two decimal places) I would carry out your calculations to at least 4 decimal places and then round at the end. This reduces errors due to rounding. Here is how we use the formula:
Before we continue we need to recognize that our answer, being a distance, has to be positive. So even though there are two solutions to the equation only the positive one is correct. We arrive at this answer as follows:
<span>(-9.6-9.6672643)/-.12=160.56
c)
</span>This part is done the same way as part b. Again, the horizontal distance the rocket travels is given by x. As the rocket is launched and travels a parabolic path up into the sky and back down it moves a certain distance (horizontally) away from where it started. The rocket stops traveling when it hits the ground (when the height y is equal to 0). Therefore, we are being asked to find x when y = 0. We are being asked to solve the equation:
.
To solve this we can use the quadratic formula.
The quadratic formula is:
. We need to determine the values of a, b and c from the equation
we are trying to solve. a is the coefficient (number in front of) 
, b is the coefficient of x and c is the constant (the
number by itself). So in this problem we have:
a=-.02
b=.8
c=37
We need to plug these values into the formula and simplify. Since we are rounding to the nearest hundredth (two decimal places) I would carry out your calculations to at least 4 decimal places and then round at the end. This reduces errors due to rounding. Here is how we use the formula:
Before we continue we need to recognize that our answer, being a distance, has to be positive. So even though there are two solutions to the equation only the positive one is correct. We arrive at this answer as follows:
<span>(-.8-1.8973)/-.04=67.43</span>
The two functions are:
#2
The horizontal distance the rocket travels is given by x. As the rocket is launched and travels a parabolic path up into the sky and back down it moves a certain distance (horizontally) away from where it started. The rocket stops traveling when it hits the ground (when the height y is equal to 0). Therefore, we are being asked to find x when y = 0. We are being asked to solve the equation:
The quadratic formula is:
a=-.06
b=9.6
c=5.4
We need to plug these values into the formula and simplify. Since we are rounding to the nearest hundredth (two decimal places) I would carry out your calculations to at least 4 decimal places and then round at the end. This reduces errors due to rounding. Here is how we use the formula:
Before we continue we need to recognize that our answer, being a distance, has to be positive. So even though there are two solutions to the equation only the positive one is correct. We arrive at this answer as follows:
<span>(-9.6-9.6672643)/-.12=160.56
c)
</span>This part is done the same way as part b. Again, the horizontal distance the rocket travels is given by x. As the rocket is launched and travels a parabolic path up into the sky and back down it moves a certain distance (horizontally) away from where it started. The rocket stops traveling when it hits the ground (when the height y is equal to 0). Therefore, we are being asked to find x when y = 0. We are being asked to solve the equation:
The quadratic formula is:
a=-.02
b=.8
c=37
We need to plug these values into the formula and simplify. Since we are rounding to the nearest hundredth (two decimal places) I would carry out your calculations to at least 4 decimal places and then round at the end. This reduces errors due to rounding. Here is how we use the formula:
Before we continue we need to recognize that our answer, being a distance, has to be positive. So even though there are two solutions to the equation only the positive one is correct. We arrive at this answer as follows:
<span>(-.8-1.8973)/-.04=67.43</span>