Complete question :
An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.
1) What is the total amount in the account if the interest rate for the account is 3% each year?
Answer:
2,431.311498
Step-by-step explanation:
Given that:
Growth factor (x) = (1 + r) per year
If rate (r) = 3% = 0.03
x = 1 + 0.03 = 1.03
Amount in account after 4 years is given by the function :
A(x)= 800x^4 + 350x^3 + 500x^2 + 600x
Put x = 1.03 to obtain the total amount ;
A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)
= 2431.311498
Hence, total amount in account after 4 years = 2,431.311498
Multiply 3.76 × 14.8
Answer:
55.648
Step-by-step explanation:
The easiest way is turning both of these numbers into whole numbers by moving the decimal point to the right twice for both numbers. Now our equation will be....
376*1480
Now, we can solve this.
the answer to that equation is 556480.
Since we moved the decimal point to the right before, we have to move it to the left the same amount. Since we moved both of the numbers decimal point to the right twice, we add 2+2 to get 4 which means we have to move the decimal point to the left 4 times.
Our final answer : 55.648
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!!
Answer:
55.648
Step-by-step explanation:
-5y+4=-11 what is y in this expression
Answer:
answer and explanation in pics above
if u have any questions , pls list them in comments
Answer:
Y= 3
Step-by-step explanation:
To do this u can subtract -4 on each side. Whatever u do to one side of the equal sign u have to do to the other.
+4 and -4 cancel each other out
-11 + -4 = -15
The next step is to divide -5y on each side.
-5y divide by negative -5y cancel each other out leaving the y isolated.
-15 divided by -5 gives u positive 3.
So the answer is y=3
What is the value of x in the following equation?
4r +6
+ 3 = -6
-6
-3
Answer:
x = -6
Step-by-step explanation:
Solve for x:
(4 x + 6)/2 + 3 = -6
Hint: | Put the fractions in (4 x + 6)/2 + 3 over a common denominator.
Put each term in (4 x + 6)/2 + 3 over the common denominator 2: (4 x + 6)/2 + 3 = 6/2 + (4 x + 6)/2:
6/2 + (4 x + 6)/2 = -6
Hint: | Combine 6/2 + (4 x + 6)/2 into a single fraction.
6/2 + (4 x + 6)/2 = ((4 x + 6) + 6)/2:
(4 x + 6 + 6)/2 = -6
Hint: | Add the numbers in 4 x + 6 + 6 together.
Add like terms. 6 + 6 = 12:
(4 x + 12)/2 = -6
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (4 x + 12)/2 = -6 by 2:
(2 (4 x + 12))/2 = -6×2
Hint: | Cancel common terms in the numerator and denominator of (2 (4 x + 12))/2.
(2 (4 x + 12))/2 = 2/2×(4 x + 12) = 4 x + 12:
4 x + 12 = -6×2
Hint: | Multiply 2 and -6 together.
2 (-6) = -12:
4 x + 12 = -12
Hint: | Isolate terms with x to the left hand side.
Subtract 12 from both sides:
4 x + (12 - 12) = -12 - 12
Hint: | Look for the difference of two identical terms.
12 - 12 = 0:
4 x = -12 - 12
Hint: | Evaluate -12 - 12.
-12 - 12 = -24:
4 x = -24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 4 x = -24 by 4:
(4 x)/4 = (-24)/4
Hint: | Any nonzero number divided by itself is one.
4/4 = 1:
x = (-24)/4
Hint: | Reduce (-24)/4 to lowest terms. Start by finding the GCD of -24 and 4.
The gcd of -24 and 4 is 4, so (-24)/4 = (4 (-6))/(4×1) = 4/4×-6 = -6:
Answer: x = -6
Consider the growth function f(x)=200(1.08). Describe the characteristics of the functions by using the drag and drop feature
Answer:
1) Domain: -∞ < x < +∞
2) Range: y > 0
3) y intercept: (0, 200)
4) Asymptote: y = 0
5) The growth rate; r = 0.08
6) The growth factor = 1.08
7) End Behavior: As x → -∞, f(x) → 0
8) End Behavior: As x → +∞, f(x) → +∞
Step-by-step explanation:
1) The domain of the function is given as the x values for which the function is valid which includes from -∞ < x to +∞
2) The range of the function, are the range of the output values of the function for the given range of the input values
For the function, f(x) = 200·(1.08)ˣ, we have, f(x) = y > 0, for all values of x
3) The y-intercept is the value of y, when x = 0, given as follows;
y intercept = f(0) = 200·(1.08)⁰ = 200 × 1 = 200
4) The asymptote is the line that the function approaches but never reaches
In the question, as x tends to -∞, the function f(x) approaches 0. Therefore, f(x) = y = 0 is the asymptote of the function
5) The growth rate of an exponential function, y = a(1 + r)ˣ is r
Therefore, for the function, 200·(1.08)ˣ, which is equivalent to 200·(1 + 0.08) ˣ, the growth rate = 0.08
6) The growth factor of an exponential function, y = a(1 + r)ˣ is (1 + r)
Therefore, for the function, 200·(1.08)ˣ, which is equivalent to 200·(1 + 0.08) ˣ, the growth factor = (1 + 0.08) = 1.08
7) The end behavior as x tends to -∞, [tex]f(x) = y= 200 \cdot (1.08) ^{-\infty} \rightarrow 0[/tex]
8) The end behavior as x tends to +∞, [tex]f(x) = y= 200 \cdot (1.08) ^{-#+\infty} \rightarrow + \infty[/tex]
The texts that complete the blanks are:
Domain: -∞ < x < +∞Range: y > 0y intercept: (0, 200)Asymptote: y = 0The growth rate; r = 0.08The growth factor = 1.08End Behavior: As x → -∞, f(x) → 0End Behavior: As x → +∞, f(x) → +∞The domain
The domain of an exponential function is all set of real numbers.
So, the domain is: -∞ < x < +∞
The range
The range of an exponential function is always greater than 0.
So, the range is y > 0
The y-intercept
This is when x = 0.
So, we have:
[tex]f(x) = 200(1.08)^x[/tex]
This gives
[tex]f(0) = 200(1.08)^0[/tex]
[tex]f(0) = 200[/tex]
So, the y-intercept is (0,200)
The asymptote
This is the line that is close to the function but is not on the function.
The range is:
y > 0.
So, the asymptote is y = 0
The growth rate and the growth factor
The function is given as:
[tex]f(x) = 200(1.08)^x[/tex]
The growth factor is 1.08, while the growth rate (r) is calculated as:
[tex]r = 1.08 - 1[/tex]
[tex]r = 0.08[/tex]
Hence, the growth rate is 0.08, and the growth factor is 1.08
The end behavior
The end behavior of an exponential growth function is:
a x → -∞, f(x) → 0 and as x → +∞, f(x) → +∞
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help me pls . this is alegbra 1
Answer:
8
Step-by-step explanation:
Answer:
x> -14/-3
Step-by-step explanation:
You start with the question -3x+4<-10
this you subtract 4 from both sides, now you have -3x<-14
now you need to isolait x by dividing both by -3x now you have x > -14/-3
I really hope this helps
pls help!!!!!!!;( i’ll give brainliest
Answer:
9
Step-by-step explanation:
The blank is 9. You are just multiplying 3 times 3 which gives 9 because 3 squared is just multiplying it with itsself.
Hope this helped! :)
What is the value for y?
Tres numeros suman 10 000. La diferencia entre los dos numeros mas pequeños es de 1 250 y la diferencia entre los dos numeros mas grandes es de 4 200. ¿Cuales son los números?
Responder:
x = 1100
y = 2350
z = 6550
Explicación paso a paso:
Dejemos que los 3 números = x, y, z (dispuestos en orden ascendente)
Diferencia entre los dos más pequeños:
y - x = 1250
y - 1250 = x - - - (1)
Diferencia entre los dos más grandes:
z - y = 4200
z = 4200 + y - - - (2)
x + y + z = 10000 - - - (3)
Sustituya (1) y (2) en (3)
y - 1250 + y + 4200 + y = 10000
3 años + 2950 = 10000
3 años = 7050
y = 2350
x = 2350-1250
x = 1100
z = 4200 + 2350
z = 6550
Nancy is making accessories for the soccer team. She uses 877.76 inches of fabric on headbands for 30 players and 2 coaches. She also uses 263.70 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player? I am having trouble with this one.
Answer:
36. 22 inches
Step-by-step explanation:
Given that :
Head band fabric :
Total = 877.76 inches
Number of players = 30
Number of coaches = 2
Total number = (30 + 2) = 32
Head band Fabric per person :
877.76 / 32
= 27.43
Wristband fabric:
Total fabric used = 263.70
Number of players = 30
Wristband fabric per player :
263.70 / 30 = 8.79
Amount o fabric used on headband and Wristband for each player :
(27.43 + 8.79) = 36.22 inches of fabric per player
three shirts and 2 pairs of jeans cost 95$. one shirt and one pair of jeans cost 40$. write a system of equations for the scenario.
Answer:
3s+2j=95
s+j=40
Step-by-step explanation:
We need to create equations for both statements.
s=shirts j=jeans
(s & j can be replaced by any letter i just used s and j to avoid further confusion)
3s+2j=95
s+j=40
If you need me to solve it i can do that too but it seems you just need the equations
What is (5x-2) + (8x+1)
Answer:
13x − 1
Step-by-step explanation:
(5x - 2) + (8x + 1) = 13x − 1
Write the trigonometric ratio for cos x as a fraction and as a decimal rounded to the nearest hundredth
Answer:
its B
cos X= 12/15= 0.80
Step-by-step explanation:
i just took the test
What are the solutions of the equation 9x^4 - 2x^2 - 7 = 0? Use u substitution to solve.
Erica rented a scooter for $12 per hour plus a $25 gas fee. She spent a total of $73 to rent the scooter. Whattequation represents the number of hours, , Erica rented the scooter?
Answer:
4 hours
Step-by-step explanation:
Minuse $25 dollors from $73 and get $48 then divide 48 by 12 you get your hours
12h+25=73 is the equation represents the number of hours, Erica rented the scooter
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Erica rented a scooter for $12 per hour plus a $25 gas fee.
Erica spent a total of $73 to rent the scooter.
Let h represents the number of hours
$25 is a constant.
Twelve times of h plus twenty five equal to seventy three
12h+25=73
12h+25=73 is the equation represents the number of hours, Erica rented the scooter
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Eli was using a recipe for a large smoothie that required three and three–thirds bananas. Instead of making one smoothie, Eli decided to use the recipe to make three small smoothies. How many bananas will be required for each small smoothie? *
Answer:
three small smoothies require one and one-third bananas.
Step-by-step explanation:
Assuming that the three small smoothies are equal, and their sum equals the one large smoothie;
Number of bananas required for one large smoothie = three and three-third
three-thirds mean that out of three parts, three parts were selected. Therefore, three-thirds is the same thing as a whole or 1
∴ three and three-third [tex]= 3 + \frac{3}{3} = 3 + 1 = 4[/tex]
Therefore, the one large smoothie required 4 bananas.
Large smoothie = 4 bananas
three small smoothies [tex]= \frac{4}{3} = 1 \frac{1}{3}[/tex]
Hence, three small smoothies require one and one-third bananas.
FREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTS
Answer:
freepoints freepoints freepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepointsfreepoints freepoints
The total profit from the Spanish club fund-raiser varies directly with the number of dinner tickets sold. If the sale of 22 tickets results in a profit of $253, how many tickets must be sold to reach the fund-raising goal of $700 ?
Answer:
61 tickets
Step-by-step explanation:
It is given that,
The total profit from the Spanish club fund-raiser varies directly with the number of dinner tickets sold.
If the sale of 22 tickets results in a profit of $253.
Profit in 1 ticket = [tex]\dfrac{253}{22}=\$11.5[/tex]
Let x tickets are sold in order to reach the fund-raising goal of $700.
[tex]x=\dfrac{22}{253}\cdot700\\\\=\$60.86[/tex]
or
= 61 tickets
Hence, 61 tickets must be sold to reach the fund-raising goal of $700.
how can you explain the answer 4 divided by 5
Answer:
4 divided by 5 is equal to 0.8. This decimal can also be written as a fraction. 0.8 = eight tenths or 8/10 (4/5 in its reduced form).
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
4 groups of 0.8=5?
(I didn't fully understand the question, but this is the answer that I would put)
WILL GIVE BRAINLIEST SO PLEASE HELp ITS DUE IN 5 MINUTES ASAP
Answer:
The second table I promise
Step-by-step explanation:
Because:
1x4 is 4 and 3x4 is 12
1x5 is 5 and 3x5 is 15
1x7 is 7 and 3x7 is 21
1x11 is 11 and 3x11 is 33
Easy question 25 points!!! Refer to the diagram. Explain why each statement is true.
10. LAS 2C
Alternate Exterior Angles
Alternate Interior Angles
Vertical Angles
They look the same.
Answer:
Alternate interior angles
In a certain state, each automible license plate number consist of two letters followed by a four digit.How many disnict license numbers can be formed if (a) there are no restrictions and (b) if the letters O and I are not used.
Answer: (a) 6760000
(b) 5760000
Step-by-step explanation:
Total letters in English alphabet = 26
Total digits = 10
Given: Each automobile license plate number consists of two letters followed by a four-digit.
(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10
= 6760000
(b) if the letters O and I are not used, total letters can be used ]= 26-2=24
Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10
=5760000
Which of the following numbers is an integer?
Group of answer choices
0.5
1
0
3/2
Answer:
Second Option
Third Option
Step-by-step explanation:
Remember a integer is a number that isn't a fraction nor a decimal so the first option and the fourth option isn't a integer. Leaving the second and third option or "2, and 0" because integers are whole numbers that can be negatives, positives or even just a zero.
Hope this helps.
r^2(3rst^4)^2 Can someone please solve it!
Answer:
it's 3r^9st
Step-by-step explanation:
have a good one hope to get a Brainliest
have a good as day hope you the bast even when i don't you
At the Howelton Hot Dog Happiness competition, Olaf eats five fewer than triple the hot dogs Alfred eats. Olaf eats 67 hot dogs. Alfred eats "a" hot dogs. How many does Alfred eat? Have to do PEMDAS backwards, just need help setting up the equation.
Answer:
Alfred ate 24 hot dogs.
Step-by-step explanation:
Let the number of hot dog ate by Olafs be represented by b.
Since Olafs eats five fewer than triple the hot dogs Alfred eats, and Alfred ate a hot dogs. This can be expressed in a mathematical equation as follows;
b = 3a - 5
But Olafs eats 67 hot dogs, so that b = 67. Thus;
b = 3a - 5
67 = 3a - 5
67 + 5 = 3a
3a = 72
divide both sides by 3 to have;
a = [tex]\frac{72}{3}[/tex]
a = 24
Alfred ate 24 hot dogs.
A cubed aquarium tank holds 1,000 m^3 of water. How tall is the aquarium?
Answer:
10m
Step-by-step explanation:
formula to find volume of a cube is v=a ³
if the volume of the cube is 1000, then 1000=a³ (a being the length of an edge of the cube)(the edges of a cube are all the same length)
cube root of 1000 is 10
The required height of the cubed aquarium tank is 10 meters.
As given that, A cubed aquarium tank holds 1,000 m³ of water, the height of the aquarium is to be determined.
Volume is defined as the ratio of the mass of an object to its density.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A cubed aquarium tank holds 1,000 m³ of water,
The volume of the cube = 1000
side ³ = 1000
side = ∛1000
side = 10
Thus, The required height of the cubed aquarium tank is 10 meters.
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Please help I can't figure this out.
Answer:
87
Step-by-step explanation:
the number sequence is upside down
4 gallons equals liters
Answer:
15.1416 liters
Step-by-step explanation:
I just looked at my table and it said how many liters then I measured it
Answer:
This is equal to 15.142 liters
Add the following integer 8+(-5)=?
Answer:
3
Step-by-step explanation:
8+(-5) = 8-5 (One plus and one minus makes one minus)
= 3
Answer:
3
Step-by-step explanation:
First put 8 in the calculator and then you press + and then you click 5 and then negative.
judi is making a rope ladder. she uses 1/2 yard of rope for each step. how many steps can she make with 6 yards of rope? show your work.
Answer:
12 steps.
Step-by-step explanation:
6 / (1/2)
= 12 steps
Hope this helped!
Answer:
12 steps for this problem.
Step-by-step explanation:
We have been given that Judi is making a rope ladder. She uses 1/2 yard of rope for each step.
Since Judi makes each step of ladder with 1/2 yard of rope, so one yard of rope will make two steps.
Therefore, Judi can make 12 steps of ladder from 6 yards of rope.
Walmart offered a30% discount off the original dresser. The amount of the discount is $12. What is the regular price of the dresser?
Answer:
$40
Step-by-step explanation:
Multiply 12 by 100 to get 1200 then divide by 30