An example of an exponential function is given as follows:
A. Investing $1,000 at an annual interest rate of 3%, compounded monthly.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.As we saw above, the rate of change is a percent, and in this problem, only option A has a rate of change as a percent, hence it is an exponential function.
More can be learned about exponential functions at https://brainly.com/question/25537936
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Carlos and his friend are sharing some leftover pasta. If 1/4 of the pasta is left, how much will they each get?
Answer:
1/8 of the whole pasta or 1/2 of what's left
Answer:
each of them would get an 1/8 (if it is 2 people)
Step-by-step explanation:
in a survey of Swami student it was found that 60% of student studies in math and 40% study science if 40% students study both the subject and 10% did not any of the subject by drawing of exam find the ratio of the number of students who is the distance to the total number of students
Answer:
Step-by-step explanation:
150% = 150 ÷ 100 150% = 1.5
In the diagram, the measure of angle 3 is 105°
Which angle must also measure 105°
1
4
6
8
Answer:
the answer will be 1 on the basis of the option
Step-by-step explanation:
and other are 7 5
Find the missing length the triangles are similar.
Answer:
Step-by-step explanation:
The missing length is 13 because,
Lets say the top triangle is A and the bottom triangle is B.
Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.
Answer: 13
using trig to solve for missing angle
Help please, I need with the question
Answer: [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
tangent of ∠PLM = [tex]\frac{opposite}{adjacent} =\frac{4}{3}[/tex]
Answer:
PLM=4/3
Step-by-step explanation:
WILL MARK BRAINLEST!!Use the remainder theorem to find T(2) for T(x)= 3x3 - 2x2 - 6x -5.
A) -21
B) -1
C) 21
D) 1
Answer:
B
Step-by-step explanation:
T(x)=3x³-2x²-6x-5
T(2)=3(2)³-2(2)²-6(2)-5
=24-8-12-5∵
=-1
Alex wants to test the reliability of “lie detector tests,” or polygraph tests. He performs a polygraph test on a random sample of 12 individuals. If there is more than a 50% chance that the tests result in no false positives (that is, the test does not result in a true statement being recorded as a lie), Alex will conclude that the tests are reliable. If the probability of a lie detector test resulting in a false positive is 5.5%, what will Alex conclude? Use Excel to find the probability, rounding to three decimal places.
The correct statement is test is reliable and authentic as the probability of no false positives is more than 0.5
Given that
[tex]H_o:P= 0.50\\\\H_1:P>0.50[/tex]
Now following calculations to be done to reach the conclusion:
There is no false positive as
= 100 - 5.5
= 94.5%
[tex]\hat P =0.945, n = 12[/tex]
Now
[tex]z = \frac{\hat P - P}{\sqrt\frac{P(1-P)}{n} }\\\\=\frac{0.945-0.5}{\sqrt\frac{0.5\times0.5}{12} } \\\\= 3.08[/tex]
So
P value = P(z >3.08) = 0.0010
Therefore we can conclude that test is reliable and authentic as the probability of no false positives is more than 0.5
Learn more about the polygraph test here:
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for f (x)= -x + 8, what is the value of x for which f(x) = 9?
Answer:
x=-1
Step-by-step explanation:
f (x)= -x + 8
Let f(x) = 9
9 = -x+8
Subtract 8 from each side
9-8 = -x+8-8
1 = -x
Multiply each side by -1
-1 = x
PLS HURRY!! PLS
solve:-10k2+7
Answer:
Degree: 2
Polynomial type: Quadratic
Step-by-step explanation:
One is asked to identify the degree and type of polynomial when given the following expression:
[tex]-10k^2+7[/tex]
The degree of a polynomial refers to the exponent to which it is raised. In essence, the largest exponent in the expression. In this case, the largest exponent in this polynomial is (2). An expression to the second degree is referred to as a quadratic expression.
What is the area that f this composite figure?
Answer:
Answer of this qn is 96cm^2
What is 4 1⁄2 cm in millimetres
Answer:
the answer is 205 millimeters
Answer:
205 millimeters.
Step-by-step explanation:
just is
Can someone verify if this is correct?
I used cosec because the others didn’t work
8^x times 2^(4-x) = 1
Find x.
With detailed steps.
Answer: x= -1
Step-by-step explanation:
In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have
4x +4-x4x-x=13x+4-4 =1-43x/3 = -3/3x= -1Hope that helped!solve for y.
y + 5.74 = 9.62
Answer:
3.88
Step-by-step explanation:
1. Subtract 5.74 from both sides of the equation
9.62-5.74=3.88
Consider the triangle
Which statement is true about the lengths of the sides?
6 C5
45
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length
O The sum of the lengths of two sides is equal to the
length of the third side.
45
search
BI
59°F Clear
Answer:
b
Step-by-step explanation:
The triangle is an isoceles triangle since there are 2 equal angles. Hence, 2 sides would be the same length. Since its a right angled triangle, the hypotenuse (third side) would always be longer than the 2 equal sides.
solve the inequality and graph the solution
-5-7x < -40
Answer:
x > 5
Step-by-step explanation:
-5-7x < -40
Add 5 to each side
-5+5-7x < -40+5
-7x < -35
Divide by -7, remembering to flip the inequality
-7x/-7 > -35/-7
x > 5
Open circle at 5, going to the right
HELP ASAP!!!
Find the length of AB.
6 in
30°
В
AB = [? ]in
Answer:
30/360 ×π r^2 = AB
AB = 30 /360 × π ×6^2
AB = 9.42 IN
¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2
Answer:
Hello,
m=2
(0,-3) True
(1,-1) True
(1.5,0) True
(-2,-2) False
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]
In an experiment, colored letters flash briefly on a computer screen. On each trial, participants are asked to report the letters in their correct colors and to rate their confidence in their responses. In one condition, participants are required simultaneously to monitor the screen for the appearance of a particular digit. Which alternative correctly identifies the dependent variable(s) in this experiment
The alternatives or options aren't given.
Answer:
Kindly check explanation
Step-by-step explanation:
The dependent variable in an experiment refers to the va ibale which we intend to measure based on the outcome or values of one or more predictor variables, this variable which we intend to measure is the dependent variable while the the variables which causes a change or upon which the dependent variable relies are the independent variable. Hence, from the scenario described above, the possible dependent variables are :
The letters in their correct colors and the confidence in response Given.
Which of the following is 1 2 over 4 in its simplest form?
Answer:
its 3
Step-by-step explanation:
3 is your answer I hope this help
Answer:
i don' know
Step-by-step explanation:
Tina's book bag contains 12 fiction books and 4 non-fiction books. What percentage of the
books is non-fiction?
Help! Homework due at 6:30 help ASAP! Thank you!
25%
Step-by-step explanation:
# of non-fiction books ÷ # of total books = percentage of non-fiction books
4 non-fiction books + 12 fiction books = 16 total books
4 non-fiction books divided by 16 total books = percentage of non-fiction books
4÷16= 0.25
0.25 x 100 = 25%
Answer: 0.48 percent
Step-by-step explanation:
Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational
Given the circle, find the arc measure
Answer:
130°
Step-by-step explanation:
3. What is the solution to the equation x3 = = 216
A. 72
B. 27
C. 8
D.6
Answer:
I assume that the question is [tex]x^{3} = 216[/tex]
6 * 6 = 36 35*6 = 216
in other words 6*6*6 = 216
Step-by-step explanation:
Can someone help me out
Answer:
34
Step-by-step explanation:
Perimeter,
2×(8+5+4)
= 34 units
Answered by GAUTHMATH
Dan was thinking of a number. Dan halves the number and gets an answer of 18.8. Form an equation with x from the information.
Answer:
[tex]\dfrac{x}{2} = 18.8[/tex]
Step-by-step explanation:
Let x represent the number Dan was thinking about.
Half of the number, x = 18.8
Therefore, when x is divided by 2, the result is 18.8
The equation which can be formed with the given information is therefore;
[tex]\dfrac{x}{2} = 18.8[/tex]
PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
9.89949 or 9.9
Step-by-step explanation:
7^2 + 7^2 = c^2
49+49=98
square root of 98 = 9.89949
Given m|n, find the value of x.
(6x+9)
(4x-19)
Answer:
Submit Answer
attempt i out of 2
I NEED HELP PLS
Answer:
x = 19
Step-by-step explanation:
The angles sum are complementary so they will sum to 180
(6x+9) +(4x-19) = 180
Combine like terms
10x - 10 = 180
Add 10 to each side
10x-10+10 =180+10
10x =190
Divide by 10
10x/10 = 190/10
x = 19
Factorise.. 25a sq. - 9b sq. please tell the answer
Answer:
(5a + 3b)(5a - 3b)Step-by-step explanation:
Given,
[tex] {25a}^{2} - {9b}^{2} [/tex]
[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]
Since,
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Then,
= (5a + 3b)(5a - 3b) (Ans)
