Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.. Thus the function in terms of t that represents the given situation is,
[tex]y=100(-8.5)^t[/tex]Given information-
The value of the stock is $100.
The value of stock decreases by 9.5% each year.
Exponential decay function-Exponential decay function describes the process of reducing an amount by constant percentage rate over a period of time.
The initial value of the stock was $100 and the decay rate is 9.5 percent per year.
The exponential decay function can be given as,
[tex]y=a(1-r)^t[/tex]
Here [tex]a[/tex] is the initial value, r is the decay rate and t is the number of time interval.
Put the values,
[tex]y=100(1-9.5)^t[/tex]
[tex]y=100(-8.5)^t[/tex]
Thus the function in terms of t that represents the given situation is,
[tex]y=100(-8.5)^t[/tex]
Learn more about the exponential decay function here;
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lowest common factor of 36 and 56???
Answer:
the lowest common factor of 36 and 56 is 1
you can also have 2,4
Determine if the triangles are similar. If yes, write a similarity statement and give the scale factor. if NO explain why the triangles are not similar.
help me pls i’ll give you brainliest
Answer:c.1/4^3
d.(1/4)(1/4)(1/4)
Step-by-step explanation:
Only those 2 opinions are equal to 4^-3. You can check this by plugging in the calculator those 2 answers and 4^-3 and getting approximately 0.0156
Answer:
Step-by-step explanation:
is 21:10 equivalent to 7:5
no it is not equal. its because you are multiplying one by 3 and the other by 2. you have to multiply them by the same number for them to be equal
An object with a mass of 5.0kg accelerates 8.0m/s2 when an unknown force is applied to what is the force?
Answer:
The correct amount of force i believe is
f= 40 newton
i got the answer by using the formula below
force = mass x acceleration
f=5kg *8.0 m/s^2
Step-by-step explanation:
"Expand the brackets and simplify" (please i need help asap)
ok, b)
you can times anything inside bracket by 8. so, 8r -40 + 12
You can simplify to 8r - 28.
d)
You can rearrange it to 6a + 12a -12/3 -15/3
= 18a - 27/3
Find X. This is a 40°, 40°, 90° triangle.
Answer:
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.
Step-by-step explanation:
i need this
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Answer:
11(7 + 4) = 11 × 7 + 11 × 4
Step-by-step explanation:
11(7 + 4) = _ x 7 + 11 x _
use distributive property:
11(7 + 4) = 7 x 11 + 7 x 11
Answer:
11 * 7 + 11 * 4
Step-by-step explanation:
given 11(7+4)
we need to use distributive property
To do so we multiply 11 by whats inside of the parenthesis
so 11(7+4) is equivalent to 11 * 7 + 11 * 4
A recipe for pizza sauce calls for 7 cans of tomatoes and 21 teaspoons of oregano. How many teaspoons of oregano would you need for a single can of tomatoes?
Answer:
3
Step-by-step explanation:
21 divided by 7 = 3
Answer:
21 divided by 7 = 3
Step-by-step explanation:
Is the temperature measured in Celsius proportional to the temperature measured in Fahrenheit?
Answer:
The relationship between Fahrenheit and Celsius is directly proportional
The relationship between Celsius and Fahrenheit demonstrates that the two units are directly proportional to one another.
Is there a proportional link between the temperature scales?
No. because the ratio is different (no constant of proportionality). The relationship between Celsius and Fahrenheit demonstrates that the two units are directly proportionate to one another. It suggests that as the temperature rises on the Celsius scale, the temperature rises as well on the Fahrenheit scale. Fahrenheit and Celsius have a proportionate relationship. Both follow the various unit differences between each scale and have varying water freezing points. There is one place where the Fahrenheit and Celsius scales meet. At both -40 °C and -40 °F, they are equal. To determine when two temperature scales are equal to one another, the straightforward technique is to set the
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Please help I’m struggling on this
Answer:
7. m=3 b=-4
Equation y=3x-4
8. m=-6/4 b=7
Equation y=-6/4x+7
Step-by-step explanation:
Answer:
7. m=3 b= -4 , Equation y=3x-4
8. m= -6/4 b=7 , Equation y=-6/4x+7
Step-by-step explanation:
look in the chart
What would the cross sections be of a triangular prism cut diagonally NOT through the base?
A circle
B ellipse
C rectangle
D square
E trapezoid
F triangle
Answer:it might be (F)
Step-by-step explanation:
Tell me if I’m right or wrong
Please help
Please
Which 2 segment are parallel?
Please
Answer:
E and D
Step-by-step explanation:
PLEASE PLEASE HELP ME
Answer:
b
Step-by-step explanation:
9514 1404 393
Answer:
(B)
Step-by-step explanation:
x is on the left side of the < symbol, so the shaded portion of the line will be on the left side of the boundary dot.
The boundary dot is plotted at the constant, which is 1/2 = 2/4. That plot is shown in selection B.
_____
Additional comment
I like to write inequality solutions using the < or ≤ symbols because the relative positions of numbers and variables match their relative positions on the number line. In this problem, we have x < 1/2, so the shaded portion of the line is on the left of the boundary dot, just as x is on the left of 1/2 in the inequality.
What is the area of the right trapezoid?
A) 28 square inches
B) 35 square inches
C) 56 square inches
D) 70 square inches
Answer:
c
Step-by-step explanation:
because are of trapizium =( a+b/2) × h
There were 30 pairs of jeans on sale for 2/3 of the regular price.
The regular price was $36. What was the sale price?
Answer : $36
Explanation:
To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.
25% = 25/100
25100=x48
14=x48
(1) * (48) = (4) * (x)
48 = 4x
(48)/4 = (4x)/4
12 = x
The discount is $12.
$48 – $12 = $36
(PLEASE HELP) What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 12
Step-by-step explanation:
(10x - 20)° + (6x + 8)°= 180°
(Linear pair angles)
(10x - 20 + 6x + 8)°= 180°
(16x - 12)°= 180°
16x - 12 = 180
16x = 180 + 12
16x = 192
x = 192/16
x = 12
Answer:
so x would equal 12
Step-by-step explanation:
(10x - 20)° + (6x + 8)°= 180°
so you are going to want to combine like terms which would be
10x and 6x, and 20,8
10x+6x=16x
20-8=12
16x-12=180
now you want to get 12 on the opposite side of the equal side so you add (since it is negative) 12 to each side
which gets rid of the first 12
16x=180+12
now you can add 180+12
and you get 192
so now we want to get x by itself in order to do that you must divide
you are going to divide by 16 an each side and the 16 cancels out the first 16
16x/16=192/16
x=192/16
and 192 divided by 16 is 12
so you answer is
x=12
Hope this made sense :)
Given: Quadrilateral ABCD is a kite. Prove: ΔAED ≅ ΔCED Kite A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point E. It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see that ED ≅ ED by the property. Therefore, we have that ΔAED ≅ ΔCED by .
Answer:
1. kite 2. perpendiclular 3. reflective 4. HL
Step-by-step explanation:
I hope this helps :)
Answer:
We know that AD ≅ CD by the definition of kite. By the kite diagonal theorem, AC is perpendicular to BD. This means that angles AED and CED are right angles. We also see that ED ≅ ED by the reflexive property. Therefore, we have that ΔAED ≅ ΔCED by HL.
Step-by-step explanation:
We know that AD ≅ CD by the definition of kite.
- adjacent sides in a kite are congruent
By the kite diagonal theorem, AC is perpendicular to BD.
- the kite diagonal theorem states that diagonals of a kite form right angles because they are perpendicular to each other.
We also see that ED ≅ ED by the reflexive property.
- any side or angle congruent to itself is identified by the reflexive property
Therefore, we have that ΔAED ≅ ΔCED by HL.
- the triangles formed are all right triangles, so we can they that the two triangles are congruent to each other by the Hypotenuse Leg theorem.
if i had 8 cents and i divied it bye 8 how much will it be help
Answer:
1 simple
Step-by-step explanation:
solve: 3x + 4y=1
Show steps
Answer: x = -4y + 1
3 3
Step-by-step explanation:
3x + 4y = 1
3x + 4y + -4y = 1 + -4y
3x -4y + 1
3 = 3
x = -4y + 1
3 3
Help needed on this question
Complete the equation of the line through (2,-2) and (4,1).
Use exact numbers.
Y=
Answer:
y=(3/2)x-5
Step-by-step explanation:
1=4k+b, -2=2k+b
b=1-4k, b=-2-2k
1-4k=-2-2k
k=3/2
1=4k+b
1=4(3/2)+b
b=-5
y=(3/2)x-5
Brillianst!!!!!!!please!!!!!!!
Answer:
y=(3/2)x-5
Step-by-step explanation:
Somebody help me ASAP noww
Answer:
65
Step-by-step explanation:
That is a 180 split so 180-115=65
A boat can travel 128.8 miles on 16.1 gallons of gasoline. How far can it travel on 9.4 gallons?
A teacher bought pencils for $14.99, but she knows the store bought them for $8.50. What is the percent markup to the nearest whole?
Answer:
43% markup.
Step-by-step explanation:
The point slope form of the equaton of the line that passes through (-9, -2) and (1, 3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line?
Answer: y=1/2x+5/2
Step-by-step explanation:
y-3=1/2 (x-1)
y-3(-3)=1/2x-1/2(+3)
y=1/2x-1/2+6/2
y=1/2x+5/2
hope this helped!!
A store sells an item for $35 after a 25% markup. What is the price the store paid?
$8.75
$28.00
$43.75
$140.00
Answer:
The store paid $28.00
Step-by-step explanation:
28 times .25(25%) is 7 and 28+7=35
The previous owner of Ahmed's new sail boat recalled that the area of sail B was 108 square feet. What is the length of the base of sail B? Use the image below.
Answer:
81 ft
Step-by-step explanation:
Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *
1 point
{b,c,d,f,g,h}
{a,e,i}
{b,a,g}
{a,b,c,d,e,f,g,h,i}
If A = { 1,2,3} and B = {2,1,3} . A and B are said to be *
1 point
equal sets
equivalent sets
empty set
finite sets
P = { 2,4,6,8} and Q = { a,b,c,d} . Will P =Q *
1 point
True
False
T={ colours of the rainbow} This an example of *
1 point
Choose
B = set of letters in the word ENGLISH. then n(B) = *
1 point
6
7
5
8
What type of set is shown in the diagram below? *
1 point

equal
disjoint
equivalent
infinite
R = { cars that fly}. R is an _____________ set *
1 point
empty
equivalent
equal
infinite
If P={m,n,l,} determine the number of subsets that can be formed from P *
1 point
4
12
8
16
Convert 17/3 to a mixed number *
2 points
5 2/3
10/3
3 1/3
51/3
48/60 reduced to its lowest term = *
2 points
12/15
4/5
10/14
3/4
Name the angles below in the order given *
3 points

right, acute, reflex
acute, right, obtuse
reflex, straight, full
obtuse, right, acute
What is the size of the missing angle? *
2 points

90
220
140
100
What is the size of y? *
2 points

115
245
295
65
What type of triangle is shown below? *
1 point

Equilateral
Isosceles
Right angled
Scalene
Calculate the value of x *
3 points

65
245
112
133
Calculate the value of x *
3 points

112
22
158
180
What is the value of e? *
3 points

65
130
50
100
A quadrilateral with two pairs of parallel sides and all angles equal is called a _____________ *
1 point
parallelogram
rectangle
trapezium
kite
*
3 points

75
100
260
50
*
3 points

129
309
160
51
*
3 points

120
128
52
90
Step-by-step explanation:
Given U = { a,b,c,d,e,f,g,h,i} P = {a,e,i} and Q = { b, a, g} List the elements of P' *
1 point
{b,c,d,f,g,h}
{a,e,i}
{b,a,g}
{a,b,c,d,e,f,g,h,i}
since P and Q share the same letter you're putting “A” in the middle where the two intersect. since U have B and Q have b we're putting it outside. so Q only supposed to have G. P is empty and U now have B,C,D,F,H.
p^1- p complement means everything outside of P so that will be b,c,d,f,g,h.
Angle A is a supplementary to Angle B. If < b = 65 degrees what is the value of x if < A = 5x -20 ?
Answer:
x = 27
Step-by-step explanation:
Supplementary angles add up to 180 degrees
65 + 5x - 20 = 180
45 +5x = 180
5x = 135
x = 27