Answer:
x=19
Step-by-step explanation:
Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have(A $411,234) (B $425,352) (C $449,739) saved in 30 years. Her account balance is a result of Jenna’s(A annuity payments)(B lump-sum payment) .
Answer:
The answer is $43623.50Step-by-step explanation:
This problem is on compound interest.
the expression for compound interest is given as
A=P(1+r)^t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Given data
P= $2,500
r= 10/100= 0.1
t= 30 years
substituting into the expression for compound interest and solving for A we have
A=2500(1+0.1)^30
A=2500(1.1)^30
A=2500*17.449
A=$43623.50
The final amount is $43623.50
Her account balance is a result of Jenna’s(A annuity payments)
Answer:
b then a
Step-by-step explanation:
neutron style
What is the distance between the points M (-3, 7) and N (a, b)?
Answer: [tex]\sqrt{ (-3-a)^2 + (7-b)^2 }[/tex]
Explanation:
We plug the given coordinates into the distance formula
[tex]d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2 }\\\\[/tex]
There isn't much we can do from there since we don't know the values of 'a' or 'b'. You could expand out each binomial, but it's more simplified being factored like that.
The microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.
How is this number expressed in standard form?
The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
A standard form is a form of writing an equation, number, or an expression in a form using certain rules.
The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.
Find out more on equation at: https://brainly.com/question/2972832
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jennas dogs used 9 chew toys last year. The animal shelter used 2,277 chew toys. How many times as many chew toys did the animal shelter use?
Answer:
253 is the answer
Step-by-step explanation:
Divide 2,277 and 9.
Four less than the product of 6 and a number equals 3
Answer:
-1/6 (written as a fraction)
Step-by-step explanation:
our goal here is to get n by itself
6n-4=3
add 4 to both sides
6n=-1
divide both sides by 6
n= -1/6 (a fraction)
8 ghosts greet each other with 'Boo!
How many times is the phrase 'Boo! being said?
Hint For three ghosts, Boo
is said 6 times For four ghosts, Boo is
said 12 times!
Answer:
im pretty sure 16 times
Step-by-step explanation:
well if you look at it there are 8 ghost's. they are going to greet each other, soo. B would say 8x7 because 8 ghost's would say boo to 7 more. soo 8x7=56
p.s
sorry if wrong
Which set of ordered pairs could represent a function?
o (2, 3), (2, 2), (2, 4), (2, 9), (2,-2)
O (1,5), (2, 6), (1, 6), (4, 5), (1, 4)
O (1, 0), (2, 0), (1, 3), (4,3), (5, 7)
O (5, 1), (7,3), (9,5), (11, 7), (13, 9)
Answer:
(5,1), (7 3), (9, 5), (11, 7), (13, 9)
Step-by-step explanation:
For every input there is exactly one output.
Answer:
(5, 1), (7,3), (9,5), (11, 7), (13, 9)
Step-by-step explanation:
Identify the slope and y-intercept from the following equation.
Answer:
The slope is 2/5 and the y intercept is -4
Step-by-step explanation:
The slope is always the coefficient to x
Answer:
slope = [tex]\frac{2}{5}[/tex] , y- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{5}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{2}{5}[/tex] and y- intercept c = - 4
Write the equation in standard form.
5−3(x−2y)=1−5x
Answer:
2x+6y=-4
Step-by-step explanation:
In the Mars Cars video game, players gain and lose points by avoiding or hitting obstacles on a martian race track. First, Gary gained 20 points by jumping over a crater. Then, he lost 45 points for getting stuck in a dust storm
Answer:
-25
Step-by-step explanation:
20 - 45= -25
Answer:
-25
Step-by-step explanation:
Please help and show the work thank you ! :)
Answer:
The Sidewalk is 16 yards^3
Step-by-step explanation:
To find the this answer its quite simple!
Anytime there's an area problem you would have to multiply to numbers to get the area
in this case 16 is the answer because when you multiply 16 * 16 you get the total area of 256 yards. hope this was understand able!
High Hopes^^
Barry-
plz help me!! Polynomial Long Division (Level 2)
8 + z = 19. step equations
Answer:
11
Step-by-step explanation:
First subtract
19-8= Z
So solution would be
Z=11
Answer:
z=11
Step-by-step explanation:
step 1:simplify both sides of the equation
z+8=19
step 2:subtract 8 from each side
z+8-8=19-8
Compare and contrast a postulate , theorem and a conjecture
Answer:
Postulates and conjectures are similar in that they are both used in mathematical proofs. The difference between them is that whilst a conjecture is a opinion that is put forward without proof, and that simply represents a belief, a postulate it something that is assumed true (but still does not have any proof behind it).
Step-by-step explanation:
Answer: Postulate – this is also called as axiom. This study is accepted without asking for any proof. This is considered as true without further proof. IT is simply considered as self-evident. It is usually agreed by anyone to be true and acceptable.
Example of postulate is to prove a simple triangle as congruent.
While conjecture – considered as proposition in which it needs to provide value proof or evident in order for it to be considered as true.
Examples of conjecture are four color theorems and Fermat’s Last theorem.
Step-by-step explanation:
Emma and Murphy are friends. Murphy's age is six less than twice Emma's age.
a. Write an algebraic expression to represent Murphy's age.
b. If Murphy is 60 years old, how old is Emma?
Answer:
X=60+6×2
Step-by-step explanation:
Sorry im not great at math but i think that this would be the answer because Murphy is 6 years younger than Emma. It then says TWICE so i assume it means multiply by two. 6×2= 12 so Emma is 12 years older.
f(x) = x2+9
g(x) = X-9
Find f(x)*g(x).
Answer:
f(x)g(x) = x³ - 9x² + 9x - 81
General Formulas and Concepts:
Distributions - Expanding with FOIL (First, Outside, Inside, Last)
Step-by-step explanation:
Step 1: Define
f(x) = x² + 9
g(x) = x - 9
Find f(x) · g(x)
Step 2: Find
Set up expression: f(x)g(x) = (x² + 9)(x - 9)Expand (FOIL): f(x)g(x) = x³ - 9x² + 9x - 81At a fast food restaurant, customers are asked if they want to “round up” their bill to the next highest dollar and donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally likely to “round up” regardless of the amount of their bill. The density curve below models Y, the donation amount. (a) What is the shape of the distribution of donations? (b) What proportion of donations are at least 85 cents? (c) What percent of donations are between 30 and 40 cents?
Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:
[tex]P(X\geq 85)=\int\limits^{99}_{85} {\frac{1}{99-0} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\[/tex]
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:
[tex]P(30\leq X\leq 40)=\int\limits^{40}_{30} {\frac{1}{99-0}} \, dx[/tex]
[tex]=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010[/tex]
Thus, the probability of donations between 30 and 40 cents is 0.1010.
Offering lots of points for the right answer! Please help with this question, thank you!
Answer:
Rotate EFG around point E by 90 degrees clockwise and then translate downwards.
Rotate EFG around point F by 90 degrees counterclockwise and then reflect on a horizontal line e is on, and then translate EFG onto triangle PQR
Step-by-step explanation:
Not going to lie, they made it a lot harder without coordinates... so sorry no explanation...
Three consecutive odd integers sum to 15. What are the integers?
The following scores were obtained by 11 footballers in a goal-competition 536878311632. The median score was?
Answer:
3
Step-by-step:
1,1,2.2.3.3.3.5.6.6.7.8.8
more 3s than other numbers
median is 3
16/7 - 1/14 subtracting fractions
Answer:
31/14
Step-by-step explanation:
We first need to get common denominators, so we multiply the 16 and the 7 by 2, to get 32/12. Now we can subtract since the fractions have common denominators. After subtracting we get 31/14 or 2 3/14. Hope this helps!
A______ is always a rectangle
A. parallelogram
B. rhombus
C. square
D. trapezoid
Answer:
A square is always a rectangle
a) Calculate the magnitude of the angle a in the diagram above.
b) Find the length of OT
Answer:
angle a = 53.13 degrees and OT = 5cm
Step-by-step explanation:
Tan A = 4/3
A = 53.13
In 11 years, John's age will be 5 less than 5 times his current age. How old is he?
If x represents John's current age, which of the following equations could be used to solve this problem?
A.) x + 11 = 5x -5
B.) x+11 - 5 = 56
C.) x + 11 = 5.5x
Answer:
I believe its a
Step-by-step explanation:
A company plans to launch a new product. They have traditionally had a 60% success rate with the launch of new products. Market research predicts that a positive test market results is 80% of successfully launched products and a positive market result for 30% of failed product launches. A) If a market test result comes back negative, what is the probability that the product will be successfully launched?
Answer:
The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Step-by-step explanation:
Denote the events provided as follows:
S = a product is successfully launched
P = positive test market result
The information provided is:
P (S) = 0.60
P (P | S) = 0.80
P (P | S') = 0.30
Then,
P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20
P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70
Compute the probability of positive test market result as follows:
[tex]P(P)=P(P|S)P(S)+P(P|S')P(S')[/tex]
[tex]=(0.80\times 0.60)+(0.30\times 0.40)\\\\=0.48+0.12\\\\=0.60[/tex]
The probability of positive test market result is 0.60.
Then the probability of negative test market result is:
P (P') = 1 - P (P)
= 1 - 0.60
= 0.40
Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:
[tex]P(S|P')=\frac{P(P'|S)P(S)}{P(P')}[/tex]
[tex]=\frac{0.20\times 0.60}{0.40}\\\\=0.30[/tex]
Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
The annual profit at a chain of stores is normally distributed with a mean of $61,000 and a standard
deviation of $23,000. The stores in the top 5% of annual profit were rewarded with a celebration. What
was the annual profit required to have a party?
Answer: $98,835.
Step-by-step explanation:
Given: Annual profit at a chain of stores is normally distributed with a mean ([tex]\mu[/tex]) of $61,000 and a standard deviation([tex]\sigma[/tex]) of $23,000.
Let [tex]x[/tex] denoted the profit.
Let [tex]x_0[/tex] be the minimum profit required to have a party.
The stores in the top 5% (i.e. 0.05) of annual profit were rewarded with a celebration.
i.e. [tex]P(x>x_0)=0.05[/tex]
[tex]\Rightarrow\ P(\dfrac{x-\mu}{\sigma}>\dfrac{x_0-61000}{23000})=0.05\\\\\Rightarrow\ P(z>\dfrac{x_0-61000}{23000})=0.05\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\\Rightarrow\ \dfrac{x_0-61000}{23000}=1.645\ \ [\text{critical z-value for p-value 0.05=1.645}]\\\\\Rightarrow\ x_0-61000 =1.645\times 23000\\\\\Rightarrow\ x_0-61000 =37835\\\\\Rightarrow\ x_0=37835+61000\\\\\Rightarrow\ x_0=98835[/tex]
Hence, the annual profit required to have a party was $98,835.
What do you need to do to solve this equation.
x - 3=7
Answer:
Add 3 over to 7 and get 10
X = 10 would be your final result
Step-by-step explanation:
I hope this helps you :)
solve the problem
1 . 5 x 0 . 3 = ?
Answer:
0.45
Step-by-step explanation:
1.5 × 0.3 = 0.45I hope this helps!
Help me please.......
Answer:
90 . this can be easily answered as all the angle of points are given in question
Step-by-step explanation:
90 degree angle
Four students decide to flip a coin a number of times and record their results. Dan flips his coin 5 times, Kelly flips her coin 25 times, Amando flips his coin 50 times, and Judah flips his coin 100 times. Whose results will most likely approach the theoretical probability?
Answer:
Judah
Step-by-step explanation:
Because the more times you do the same thing over and over again then average it the more accurate it becomes
