C. 2%; exponential decay
You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.
The percent rate of change in given function is -2%
The function represents exponential decay.
Given that:The function: [tex] y = (0.98) ^ x[/tex]To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?Finding percent rate of change in given function:
For finding this, first find how much the output y changes if we change x from x to x + 1.
Output when x = x: [tex]y = (0.98)^x[/tex]
Output when x = x+1: [tex]y = (0.98)^{x+1}[/tex]
Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)
Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]
The percentage of rate of change is found as:
[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]
Thus, the percent rate of change is -2%
The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.
Learn more about exponential growth or decay here:
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Joey has 30 model airplanes to paint. He has painted 18 models so far.
What percentage of the models has he painted?
Answer:
60%
Step-by-step explanation:
18/30 = 3/5 100 divided by 5 =20 x 3=60%
what’s the answer????????
Perform the indicated operation.
10 + 19
Answer: 29
Step-by-step explanation:
how do you find the axis of symmetry?
Answer:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Step-by-step explanation:
Answer:
x=-b/2a
Step-by-step explanation:
axis of symmetry is the line that across the vertex from a parabola(ax^2+bx+c).
The expression to find vertex is -b/2a
Thus, x=-b/2a is a vertical line that across the vertex aka the axis of symmetry.
The granola Summer buys used to cost $6.00 per pound, but it has been marked up 15%. Suppose Summer buys 3.5 pounds of granola. How much more does it cost at the new price than at the old price?
Answer:
the answer would be 3.15
Step-by-step explanation:
Which expression is equivalent to 2 -35?
Choose 1 answer:
35. 2
35 2
2 + (-35)
02 (-35)
A larger number is twelve more
than a smaller. Their sum is
84. Find the numbers.
Answer: bigger number is 48 and smaller number is 36
Step-by-step explanation:
Answer:
The smaller number ⇒ y = 36The larger number ⇒ x = y + 12 = 36 + 12 = 48Step-by-step explanation:
Let the larger number be = xLet the smaller number be = yAs the larger number is twelve more than a smaller, so
x = y + 12
As the sum of larger and smaller numbers is 84, so
x + y = 84
now substituting x = y + 12 in th equation x + y = 84
x + y = 84
(y + 12) + y = 84
2y + 12 = 84
subtract 12 from both sides
2y + 12 - 12 = 84 - 12
2y = 72
divide both sides by 2
2y/2 = 72/2
y = 36
Thus,
The smaller number ⇒ y = 36The larger number ⇒ x = y + 12 = 36 + 12 = 48Help me please!!
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The measurement of angle B is _______
The measurement of angle A is _______
The measurement of angle C is _______
Answer:
The measurement of angle B is 135°
The measurement of angle A is 60°
The measurement of angle C is 75°
Step-by-step explanation:
Angle A is the same value of 60, Angle B is pretty much just 180 - 45, and so is angle C.
write the opposite to the following:- 50km Towards east
Answer:
50 kilometres towards west .......
i guess
A couch was originally priced at $800.00. The sale price is 25% off. Find the discount.
Answer:
The price after the discount is $600
The amount discounted off is $200
Step-by-step explanation:
Jenny spent half of her weekly allowance at the movies. To earn more money her parents leg her clean the gutters for $9. What is her weekly allowance if she ended with $12? Add an equation and answer.
Answer:
3
Step-by-step explanation:
i think because 12-9=3
Parker and his family are going on a trip to see Mount Rushmore. They will travel 55 miles per
hour by car. Write and solve an equation that Parker can use to find the number of hours (x) it
will take to drive 660 miles?
I
tin
Equation:
Solve: x =
Answer:
I'm just assuming here ok so I'm sorry if I'm wrong but I think it took them 12hrs
The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is
25 yards, which measurement is closest to the width of the pool?
A. 4 yards
B. 14.70 yards
C. 38.29 yards
D. 54 yards
Answer:
B)15 yards
Step-by-step explanation:
We can solve this using Pythagoras theorem as
Let
Width of the pool= c
Length of diagonal of swimming pool =b
Length of the pool= a
c^2= b^2 + a^2
c^2 - b^2 = a^2
C^2 = 29^2 - 25^2
C^2=( 841-625)
C= √216
( Width of the pool)=15 yards
Hence, measurement is closest to the width of the pool is 15 yards
What is the y-intercept of y=-4/3x+4?
A) (0,4)
B) (4,0)
C) (0.-4)
D) (-4,0)
PLEASE HELP ME
Answer:
A. (0,4)
Step-by-step explanation:
You can calculate the y intercept when x = 0.
Substitute 0 for x:
y = (-4/3)(0) + 4
= 0 + 4
= 4
if 10 calculator cost £120 how much does 8 cost?
Answer:
1 calculator cost £12
120 divided by 10 = 12
now 8 x 12 = £96
8 calculators cost £96
Step-by-step explanation:
Answer:
£96
Step-by-step explanation:
If you have 10 calculators which cost £120, you just need to divide 120 by 10 which will give you 12. Since 8 is only 2 away from 10, you just need to times 12 by 2, giving you 24, then take that away from 10! Hope this helped!
5(6-3)=6+3 show ur work
Answer:
No Solution
Step-by-step explanation:
Simplify 6−3 to 3.
5×3=6+3
Simplify 5×3 to 15.
15=6+3
Simplify 6+3 to 9.
15=9
Since 15=9 is false, there is no solution.
No Solution
Please help!!
Will mark brainliest
Answer:
2/3x+5=y
Step-by-step explanation:
We already know that this has to be linear and that its y-intercept is 5 ((0,5) is a point on the table). That means that the equation is
mx+5=y.
Now all we need to do is plug in some points.
3m+5=7
(Subtract 5 from both sides)
3m=2
m=2/3
Identify the slope and y-intercept in the following equation: y = -7x + 2
Answer:
Slope: -7
y-intercept: (0,2)
Step-by-step explanation:
I NEED HELP RIGHT NOW PLEASE!!
solve 30-5x=4 for x
Answer:
x=5.2
Step-by-step explanation:
IN decimal form x=5.2 in mixed number form x=5 1/5
Answer:
x=5.2
Step-by-step explanation:
30-5x=4
First, subtract 30 from both sides of the equation
-5x=-26Then divide by -5 to both sides of the equation
x=5.2Checking your answer
30-5(5.2)30-264A plumbing company charges a $95 fee for each job, plus $65 foreach hour that the job lasts. The expression 65h + 95can be used to calculate the cost of a job in dollars, where hrepresents the number of hours the job takes to complete. Part A.What is the cost of a job that lasts 1.5 hours?
Answer:
the answer would be 160H
The cost of a job that lasts 1.5 hours is $ 192.5
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 ,
The charge of each job by the plumbing company = $ 95
The charge on each hour for each job = $ 65
The equation for the cost of a job is = 65h + 95
where h is the number of hours for the job
Now , to calculate the cost of job that lasts 1.5 hours ,
substitute the value of h as 1.5
And , the equation becomes
= 65h + 95
= 65 ( 1.5 ) + 95
= 97.5 + 95
= $ 192.5
Hence , the cost of a job that lasts 1.5 hours is $ 192.5
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How many times can you fit 8 hours and 24 hours?
Answer:
in what? if you meant 8 hours in 24 hours than 3 times
Step-by-step explanation:
Answer:
The answer is 3 times.
Step-by-step explanation:
[tex]since \: 8 \times 3 =24
then \: you \: can \: fit \: 8 \: hours \: 3 \: times \: in \: 24 \: hours.[/tex]
Emest worked 10 1/2 hours this week and earns $9.20 per hour. How much did he earn this week?
Pls helppp^^ ————————
Three (3) consecutive integers is such that the largest is x. Write an expression
for the smallest.
Answer:
Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)
Step-by-step explanation:
Five times the smallest means 5x
Sum of the largest and five times the smallest means x+2+5x
This sum is -244 means x+2+5x=-244
Solve this equation
x+2+5x=-244
6x+2=-244
6x=-244-2
6x=-246
x=-41
So, smallest number is -41, second is -40 and largest is -39
You're answer is -39+5(-41)=244
Convert each radian measure into degrees.
4) 8pi/3
Answer:
[tex]\boxed {\boxed {\sf 480\textdegree}}[/tex]
Step-by-step explanation:
First, remember that π radians is equal to 180 degrees. Therefore, to convert from radians to degrees, multiply by 180/π.
The radian measure given is 8π/3
[tex]\frac {8 \pi}{3} * \frac{180}{\pi}[/tex]
Multiply the fractions. Multiply across the numerator, then across the denominator.
[tex]\frac{8 \pi *180}{3 * \pi}[/tex]
The pi in the numerator and denominator will cancel out.
[tex]\frac{8 *180}{3 }[/tex]
Multiply.
[tex]\frac{1440}{3}=480[/tex]
The radian measure 8π/3 is equal to 480 degrees.
4 divided by 1/2
need explanation to pls
Answer:
[tex](4 \div \frac{1}{2}) = 4 \times 2 = \boxed 8✓\\[/tex]
8 is the right answer.Answer:
8 is the answer
Step-by-step explanation:
4=whole number
1=numerator
2=denominator
when we do reciprocal it became
4x2/1=8/1
so the answer is 8/1
decimal from 8/1=8
8/1 is an improper fraction and be written as 8
I hope it helps you
A computer repair company charges an initial fee plus $40 per hour for repair work. The total cost
was for 3 hours of working. Assume the relationship is linear. Find and
interpret the rate of change and the initial value.
Answer: 120
Step-by-step explanation: This answer is 120 because you multiply the three hours by the $40 you earn an hour and you get your product.
Hope this helps
Monique and her dad built a hang glider together. After testing the new glider for safety, the glider was ready for the first big flight. Monique jumped off a tall sand dune and traveled in a diagonal line from the top of the dune toward the ground. She flew for 137 feet and landed on level ground at a spot 105 feet horizontally from where she took off. How tall was the sand dune
answers are
a. -88 ft
b. 88 ft
c. 173 ft
d.cannot be determined
Answer:
it would have to be A I think
Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
The length of the sand dune is 88 feet.
What is the Pythagorean theorem?Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
We have,
Hypotenuse = 137 feet
One side length:
Horizontal length = 105 feet
Another side length = side = length of the sand dune.
Using the Pythagorean theorem we get,
137² = side² + 105²
18769 = side² + 11025
side² = 7744
side = √7744
side = 88 feet
Thus,
The length of the sand dune is 88 feet.
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Alex has 75 buttons. He gives 15 buttons to emma what percent of the button did Alex give to emma? just need help i don't understand what i need to do;-;
Answer:
So you have a total of 75 You give away 15So 15/75 to find the % So he gave away 20%solve for X round your answer to the nearest tenth
Answer
Are you sure the 31° is not a typo. It would make sense is the angle was 30° to solve for the other sides. Or do you know one more side, because then it could be solved by the Pythagorean theorem
Step-by-step explanation:
Sorry if my answer is wrong
Answer:
Thursday, 28th Jan 2021
8.38 PM
the answer in the photo
izin cerita guys,
jadi sebenernya ga ada yg namanya "kebetulan" ya kan?
hmm, jadi udah takdir ya kan?
sbnernya gw mau kenalan, tapi malu.
hmm
yoi
kalian pernah minum air cuka? yang itu lohh enak
mampir ke Palembang bung :v
yoo biso kan kito ketemu :v
sekian. btw joke kalian garing bro.
ganteng doang, .... (isi sendiri)