Answer:
2500.49
Step-by-step explanation:
--Given--
Amount (A): $3571.31
Rate (r): 4%
Compound (n): 2 **semi-annually means 2 times a year**
Time (t): 9 **2016 to 2025 is 9 years time**
--Solve--
P = A / (1 + r/n)^nt
= 3571.31 / (1 + .04/2)^(2 * 9)
= 3571.31 / (1.02 )^(18)
= 3571.31 / 1.02¹⁸
= 3571.31 / 1.02¹⁸
= 3571.31 / 1.428246
= 2500.49
Which of the following rational functions is graphed below?
10
-10
10
-10
Answer:
C) F(x)=1/(x-2)²
Step-by-step explanation:
I'm 100% sure. You can go with it
The solution is Option C.
The value of the equation is f ( x ) = 1/ ( x - 2 )²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the function be f ( x ) = A
Now , Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k. Vertical asymptotes are defined when the denominator of a rational function tends to zero
So , the function which represents the graph will be
f ( x ) = 1 / ( x - 2 )² be equation (1)
And , the graph of the function is given below
Hence , the equation is f ( x ) = 1 / ( x - 2 )²
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Ya this big brain time if u solve this u will get brainlist
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100
Answer:
There are no solutions whenever k=4,5mod9.
This holds since it is not difficult to verify that for every integer n, we have n3=0,±1mod9.
Up till this year, there were just two values for k in the range 1..100 for which it was not known if there were a solution. These values are k=33,42.
Both values are now known to have solutions. See 42 is the answer to the question “
five more than 3 times a number
Answer:
3x+5
Step-by-step explanation:
Let number =X
So
Five more than 3 times a number
3x+5
What is the least common denominator of the equation
2/9 * x + 2/3 * x = 7?
3
9
27
63
Answer:
9 is the least common denominator for the given equation
3x3=9
Answer:
Denominator = 9
[tex] x = 7 \frac{7}{8} [/tex]
Step-by-step explanation:
[tex] \frac{2}{9} x + \frac{2}{3} x = 7 \\ \\ \frac{2}{9} x + \frac{2 \times 3}{3 \times 3} x = 7 \\ \\ \frac{2}{9} x + \frac{6}{9} x = 7 \\ \\ \frac{2 + 6}{9} x = 7 \\ \\ \frac{8}{9} x = 7 \\ \\ x = 7 \times \frac{9}{8} \\ \\ x = \frac{63}{8} \\ \\ x = 7 \frac{7}{8} [/tex]
A box is filled with 5 blue cards, 6 yellow cards, and 3 brown cards. A card is chosen at random from the box. What is the probability that the card is not yellow?
Write your answer as a fraction in simplest form.
HELP
4/7 of a chance. There are a total of 14 cars. 6 are yellow. 8 are not. 8/14 of the cards are not yellow. 8/14 simplifyed= 4/7.
Answer: Hello there user! Your answer would be 8/14, or, simplified, 4/7.
Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.
(100)+ (-55) + (-90)
Answer:
-45
Step-by-step explanation:
Start by subtracting 100-55 (The reason you subtract is because a positive plus a negative can also be subtracting)
Next Add that answer (45) to -90
Finally you get -45
The temperature at 6:00 p.m was 24 f. at midnight the temperature was 36 f. lower than 6:00 pm . what was the temperature at midnight?
Answer:
-12 f. is the answer tyour welcome
Jennie has $300 and she spends $15. What percent of her money is spent?
Answer:
5%
Step-by-step explanation:
15/300 can be simplified to 1/20
1/20 or 0.05 as a percentage (x100) is 5%
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
4x + 7y = 60
-4x + 7y = -4
Answer:
(8,4)
Step-by-step explanation:
ape x
if AC=3, BC=5, and AB=7, find AD:
11 2/3
2 5/8
4 3/8
4 1/5
Answer:
[tex]2\frac{5}{8}[/tex]
Step-by-step explanation:
It's true
A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute. What percentage of the tub will be filled after 6 minutes? *
which number equals 9x100+9x10+0x1+0x 1/10+ 3x 1/100+7x1/1000
Answer:
990.037
don't ask.
Step-by-step explanation:
Sketch the graph of y+2=1/2(x-3)
Answer:
Step-by-step explanation:
y= 1/2x + −7/2
What’s the value of the question mark?
Answer: 15/30 = 5/10
Step-by-step explanation: 5/10 = 1/2 so then you'd have to make 15/ something double it so It would equal 1/2 hope this helps :)
Solve for X
x - 4 1/6 = 9 1/3
Answer:
80
Step-by-step explanation:
To make an international call, there is a flat fee of $3.15 plus $0.05 for every minute that you talk. If you were charged $5.10 for making an international call, for how many minutes did you talk?
Answer:
39 minutes
Step-by-step explanation:
I used a calculator
Answer:
39 minutes
Step-by-step explanation:
a = 0.05m + 3.15 where a=the total charged, m=the amount of minutes
5.10 = 0.05m + 3.15
1.95 = 0.05m
1.95/0.05 = m
m = 39 minutes
If f(x)=3x2−4x+6 find f(−3)
Answer:
45
Step-by-step explanation:
Replace everything in the equation that has a x to -3:
f(-3)=3(-3)^2-4(-3)+6
Square the -3:
f(-3)=3(9)-4(-3)+6
Multiply/Distribute
f(-3)=27+12+6
Add:
f(-3)=45
Hope this helps!
Answer:
f(x) = 45
Step-by-step explanation:
f (x) = 3x^2 − 4x + 6 find f (−3)
Replace the variable x with −3 in the expression.
f (−3) = 3(−3)^2 − 4 ⋅ −3 + 6
Simplify 3(−3)^2 − 4 ⋅ −3 + 6
Remove parentheses.
3(−3)^2 − 4 ⋅ −3 + 6
Raise −3 to the power of 2.
3 ⋅ 9 − 4 ⋅ −3 + 6
Multiply 3 by 9.
27 − 4 ⋅ −3 + 6
Multiply −4 by −3.
27 + 12 + 6
Simplify by adding numbers.
Add 27 and 12.
39 + 6
Add 39 and 6.
45
Explain why 3(x+4)=2(x-5) has one solution.
Choose the best response below.
A. The X-terms are the same, but the constant terms are different.
B. The x-terms are the same and the constants are less than 20.
C. The X-terms are the same, and the constant terms are same.
D. The X-terms are different.
Answer:
IDK what answer to choose but I hope this helps
Step-by-step explanation:
3 ( x + 4 ) = 2 ( x - 5 )
3x + 12 = 2x - 10
x + 12 = -10
x = -22
Help me to solve this please . Michael leaves school at 2:45 P.M. What type of angle is formed by the hour and minute hands at that time
Answer:
This would be an obtuse angle
Answer:
120°
Step-by-step explanation:
Tebor weighed 84 kg. he went running everyday and began to lose mass. after one month his mass was 78 kg. what was the percentage decrease?
Answer:
7.1%
Step-by-step explanation:
Given parameters:
Weight of Tebor = 84kg
Weight of Tebor after losing weight = 78kg
Unknown:
Percentage decrease = ?
Solution:
To find the percentage decrease, determine the difference between his initial and final weight;
Weight difference = 84kg - 78kg = 6kg
Percentage decrease = [tex]\frac{6}{84}[/tex] x 100 = 7.1%
Step-by-step explanation:
GivenWeight of Tebor = 84kg
Weight of Tebor after losing weight = 78kg
To findPercentage decrease = ¿¿??
Solution:To find the percentage decrease,
determine the difference between his initial and final weight;
Weight difference = 84kg - 78kg = 6kg
Percentage decrease =
[tex]\rightsquigarrow[/tex] [tex]\pink{\dfrac{6}{84}×100=7.1\%}[/tex]
Find the y-intercept of the following function:
[tex]2x - 4y = 9[/tex]
Hi there!
[tex]\large\boxed{0, -\frac{9}{4} }[/tex]
2x - 4y = 9
Begin by isolating the y variable by moving 2x to the right-hand side of the equation. (Subtract 2x from both sides):
2x - 2x - 4y = 9 - 2x
-4y = 9 - 2x
Further isolate by dividing both sides by -4:
-4y / (-4) = (9 - 2x) / (-4)
y = -9/4 - 2x/(-4)
Simplify further:
y = -9/4 + 1/2x
y = 1/2x - 9/4
The "b" value is the y-intercept, therefore:
x = 0 at y = -9/4
Answer:
[tex]\huge\boxed{(0, \frac{-9}{4} )}[/tex]
Step-by-step explanation:
2x - 4y = 9
To find the y-intercept, set the x value in the equation to 0.
Rewrite
2(0) - 4y = 9
Simplify
-4y = 9
Multiply both sides of the equation by -1
4y = 9
Divide both sides of the equation by 4
y = -9/4
y = -4.5
Now that we know the y intercept, we can find the coordinate.
(x, y)
Substitute
(0, [tex]\frac{-9}{4}[/tex])
Let me know if you have any questions!
For moving object the force acting on the object varies directly with the object acceleration when a force of 36 in acts on a certain object the acceleration of the object is 6 m/s squared if the force is changed to 24 in what will be the acceleration of the object
Answer:
4m/s²
Step-by-step explanation:
Given that:
Force F is directly proportional to acceleration a
F α a
F = ka
Where k is the constant of proportionality
36 = 6k
Solve for K
36 = 6k
k = 36/6
k = 6
If force = 24 ; acceleration =
24 = ka
k = 6
24 = 6a
a = 24/6
a = 4m/s²
Garrett wants to bake a blueberry pie. At the market, blueberries cost $1.90 per pound. If he pays $4.75 for blueberries, how many pounds does he buy?
Answer:
Step-by-step explanation:
Number of pounds for 4.75 = 4.75 ÷ 1.90 = 2.5 pounds
Cone radius of 15 mm and a volume of 5890.5 mm3.What is the height of this cone?Show work.PLSSS help...
Answer: h = 25.0000585 mm
I can't really show work on a computer because there are symbols involved
Step-by-step explanation:
Factor Completely
5x^2 + 15x - 140
•prime
•5(x - 4) (x + 7). •5(x-7)(x + 4)
•5(x - 14) (x + 2)
Answer:
5(x + 7)(x - 4).
Step-by-step explanation:
5x^2 + 15x - 140
= 5(x^2 + 3x - 28)
= 5(x + 7)(x - 4).
A new glove and ball are priced $29.99, but you have a coupon for 15% off. What is the price of the glove and ball with the coupon?
Round to the nearest hundredth (penny)
-3/5 and -5/8 as decimals
Answer:
-3/5 = -0.6
-5/8 = -0.625
Step-by-step explanation:
I most definitely did not use a calculator.
Which sequence of transformations will map figure H onto figure H′?Two congruent hexagons are shown on a coordinate plane; hexagon H quadrant one with vertices at 2 comma 2, 2 comma 6, 6 comma 7, 8 comma 6, 8 comma 2, and 6 comma 1; hexagon H prime with vertices at 2 comma negative 8, 2 comma negative 4, 4 comma negative 3, 8 comma negative 4, 8 comma negative 8, and 4 comma negative 9. Rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across x = −6 Rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6 Rotation of 180° about the origin, translation of (x − 10, y + 2), and reflection across y = −6 Rotation of 180° about the origin, translation of (x − 10, y + 2), and reflection across x = −6
Answer:
Rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6
Step-by-step explanation:
The sequence of transformations that will map figure H onto figure H' is the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.
Given :
Points of Hexagon H -- (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)
Points of Hexagon H' -- (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)
The following steps can be used to transform the hexagon H into hexagon H':
Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.
Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.
Step 3 - Now, rotate the graph obtained in the above step 180 degrees about the origin.
Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.
Therefore, the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/17267403
do I have enough money to purchase air pods that cost $200 if I have a 20% off coupon but I have to pay 6% tax.
$172.00
^ That is how much you would pay for the Airpods
Here are two spheres, with
radii 3 cm and 4.5 cm
respectively. The surface
area of the smaller sphere is
367 cm. What is the surface
area of the larger sphere?
4.6 cm
3 cm
A) 417 cm2
C) 817 cm2
B) 547 cm2
D) 121.57 cm2
Given:
Radii of two spheres are 3 cm and 4.5 cm respectively.
Surface area of the smaller sphere is 367 cm.
To find:
The surface area of the larger sphere.
Solution:
We know that, area of similar spheres is proportional to the square of there radii.
[tex]\dfrac{A_1}{A_2}=\dfrac{(r_1)^2}{(r_2)^2}[/tex]
On substituting the values, we get
[tex]\dfrac{367}{A_2}=\dfrac{(3)^2}{(4.5)^2}[/tex]
[tex]\dfrac{367}{A_2}=\dfrac{9}{20.25}[/tex]
On cross multiplication, we get
[tex](367)(20.25)=9A_2[/tex]
[tex]7431.75=9A_2[/tex]
Divide both sides by 9.
[tex]\dfrac{7431.75}{9}=A_2[/tex]
[tex]825.75 =A_2[/tex]
Therefore, the area of larger sphere is 825.75 cm².
Note: All options are incorrect.