Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Step-by-step explanation:
Given
Principle P = 4500 (Let say in $)Interest rate r = 3.2% = 0.032Time period t = 1.5 yearsTo determine
Accrue Amount A = ?
Using the formula
[tex]A\:=\:Pe^{rt}[/tex]
substitute r = 0.032, P = 4500, and t = 1.5
[tex]A\:=\:4,500.00\left(2.71828\right)^{\left(0.032\right)\left(1.5\right)}[/tex]
A = $ 4721.27
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $4,500.00 at a rate of 3.2% per year compounded continuously over 1.5 years is $4,721.27.
Solve each system of equations using any method.
y = 5x +7
y = 4x - 3
Answer:
x= -10
y= -43
Step-by-step explanation:
since both of your equations equals y just plug it into each other and than make the equation: 5x+7=4x-3
and than you can just start with the variables OR numbers and then simplify
5x+7=4x-3
5x+10=4x
10= -x
x= -10
so -10 for x
plug it in to one of your 2 equations to get y
5(-10)+7= y
-50+7=y
y= -43
4. A bakery used 30% more butter this month than last month. If the bakery used 300 kilograms of
butter last month, how much did it use this month? Explain or show your reasoning.
they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer
3. Which number is a natural number?
A-2.5
B 5-151
C-13+51
D|-81-2
Answer:
C
Step-by-step explanation:
A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.
Xavier's new car uses 25 gallons for 528 miles, approximately how many miles does it travel per gallon ?
Hi Brainly users! I have an 8th grade math problem for you. 15 points plus Brainiest for the person with the most helpful answer!
Please view the screenshot of my question........
Answer:
The answer is D. 14
Step-by-step explanation:
If you were to plug in 14 for x, it would look something like this:
[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]
Solve 14-4
[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]
if you were to multiply 5 and 7 by 2, you would get
[tex]\frac{10}{14}[/tex].
This makes the equation true, because
10/14 does equal itself (10/14)
Have a nice day!
When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?
Answer:
I know you go to aops...
Step-by-step explanation:
First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!
Natalie completed 56 sit-ups. Natalie completed 4 times as many sit-ups as Matthew. How many sit-ups did Matthew complete?14 sit-ups
24 sit-ups
52 sit-ups
224 sit-ups
Answer:
224 sit-ups
Step-by-step explanation:
multiply 56 by 4
What is the solution to the inequality
below?
X+3> 7
A X 4
B x 4
C3x7
PLEASE HELP !
Answer:
[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]
The solution line graph is also attached.
Step-by-step explanation:
Given
The inequality is given by
[tex]x+3>7[/tex]
To determine
What is the solution to the inequality?
Solving the given inequality
[tex]x+3>7[/tex]
Subtract 3 from both sides
[tex]x+3-3>7-3[/tex]
Simplify
[tex]x>4[/tex]
Thus,
[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]
The solution line graph is also attached.
Find the greatest common factor of 16 17 20
Answer:
1
Step-by-step explanation:
As you can see when you list out the factors of each number, 1 is the greatest number that 16, 17, and 20 divides into.
brainliet, please? hee hee
Lucy is building a fence for her pigpen that that the pigs cannot escape. The area of the rectangular pigpen is 96 sq ft. The length of the pigpen measures 12 ft. What is the width,in feet?
The volume inside a rectangular storage room is 2061 feet The room is 9 feet high find the area of the floor
Answer:
229 ft²
Step-by-step explanation:
Note that the volume is 2061 ft³, not 2061 ft.
area of floor = volume÷height = (2061 ft³)/(9 ft) = 229 ft²
Mr. Kelly and mr. Sully each make some new units for geometry. Total they need to make 12 units.
Answer:
What exactly do you need to be answered?
Step-by-step explanation:
Please smart people
Consider the graph of a unit circle and a point traveling along the circumference of the circle. Which
statement is true?
O A. The point travels a distance of about 6 units in one revolution around the circle.
B. The point travels a distance of about 1 unit in one revolution around the circle.
O C. The point travels a distance of about 3 units in one revolution around the circle.
D. The point travels a distance of about 2 units in one revolution around the circle.
Please help with question 5 an 6 if you can!
To find the percentage divide the colums with yes by the total column and divide the columns with the no by the total columns
also divide the men (both yes and no) numbers by the totals
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. Let k>0 be the constant of proportionality. Assume the coffee has a temperature of 200 degrees Fahrenheit when freshly poured, and 11 minutes later has cooled to 190 degrees in a room at 62 degrees.
Required:
a. Write an initial value problem for the temperature T of the coffee, in Fahrenheit, at time t in minutes.
b. Solve the initial value problem in part (a).
Answer:
Tt = Ts + Ce^-kt
Tt = 62 + 138e^-0.0068t
Step-by-step explanation:
The initial value problem for the Newton cooling rate is :
Tt = Ts + Ce^-kt
Initial temperature,when freshly poured Ti = 200°F
Temperature after 11 minutes = 190°F
Temperature of room, Ts= 62°F
Using the relation :
Tt = Ts + Ce^-kt
Temperature after time, t
When freshly poured, t = 0
k = constant of proportionality
We can then solve for C and k as follows :
200 = 62 + Ce^-0k
200 = 62 + C
C = 200 - 62 = 138°F
Using the Temperature after 11 minutes ; we can find, k, proportionality constant:
Temperature, Tt after, t = 11 minutes = 190
Tt = Ts + Ce^-kt
190 = 62 + 138e^-11k
128 = 138e^-11k
128 / 138 = e^-11k
0.9275 = e^-11k
Take In of both sides :
−0.075223 = - 11k
k = −0.075223 / - 11
k = 0.0068
The model function becomes :
Ts = 62 ; C = 138
Tt = 62 + 138e^-0.0068t
An NBA trainer wants to know if his stretching routine is helping the players on his team jump higher. He records the average height jumped for 8 players before completing his stretching routine, and then again after they have stretched. What is the parameter? Group of answer choices dbar = the true sample mean difference in jump height mu_d = the true sample mean difference in jump height dbar = the true population mean difference in jump height mu_d = the true population mean difference in jump height
Answer:
a. mu_d = the true population mean difference in jump height
Step-by-step explanation:
In statistical parlance, observations used for a study could either be randomly chosen points or members of a large group or population, this small chosen observation obtained from a larger group is called the sample, the statistical measures or characteristic of such group is called statistic; while statistical characteristic, computations or measurement of the entire group of observations is called the parameter.
Mean of sample are usually represented with a bar sign on top such as (xbar) ; while mean of a population is represented as μ.
solve the equation
-2x +8 = -10
x/-5 + -15 = -22
How do we write equations from word problems?
K+22=17 would be K=15 right plz correct me if I'm wrong
Answer:
k = -5
Step-by-step explanation:
Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Given:
The polynomial is
[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]
To find:
The correct statement about the given polynomial.
Solution:
We have,
[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]
On combining like term, we get
[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]
[tex]=-3s^6t^2+6st^9-6t^7[/tex]
Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.
The degree of the polynomial is the highest power of the variable or the product of the variables.
Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.
Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.
Hence the correct option is b.
Select the correct answer.
Identify the axis of symmetry of the function graphed below.
A. X=1
B. X=3
C. X=5
D. X=4
Answer:
B. ( X = 3 )
Step-by-step explanation:
it's correct edmentum/plato
Which table represent a linear function? Pic attached and I will mark Brainly
Answer:
3 one
Step-by-step explanation:
seems logical hope this helped
1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
Answer:
.8x
Step-by-step explanation:
if the director tells you to walk upstage, you will be moving towards or away from?
I think it's away
Step-by-step explanation:
here's how I see it it's the director is telling you to move upstage the director isn't on the stage therefore you would have to move away from him
Answer:
To the back of the stage, away from the audience.
Step-by-step explanation:
Old stages used to tilt down to the audience so upstage meant to walk to the higher back part of the stage.
!!! ASAP! PLEASE ANSWER WILL GIVE A LOt OF POINTS AND MARK BRAINLIEST !!!!!
Answer:
80 minutes
35.2 km
Step-by-step explanation:
You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.
The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal
That means that
.44t = 35t + 7.2 Subtract 0.35t from both sides
0.44t - .35t = 7.2
0.09 t = 7.2 Divide
t = 7.2/0.09
t = 80 minutes
How far apart are they from the starting point?
d = 0.44t
d = 0.44 * 80
d = 35.2 km from the starting point.
Round the fraction to the nearest whole number. 7 3 8
Answer:
9
Step-by-step explanation:
1. In Mrs. Taylor's English class, 12 of the 21 students received a B on their
essay. What percent of students earned a B?
Answer:
57.1% (to 3 s.f.)
Step-by-step explanation:
12/21 *100
A farmer sells 6.3 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
1.8 Kilograms
Step-by-step explanation:
Since the farmer sells 6.3 Kilograms of fruit in total and 4.5 Kilograms of this weight is pears, you have to subtract 4.5 from 6.3.
6.3-4.5 = 1.8
So, there are 1.8 Kilograms of apples.
What is the volume of the triangular prism below?
7 yd
18 yd
12 yd
Step-by-step explanation:
V = 1/2 a x c x h
1/2 * 7*12*18 = 756 yd ^3
In which equation is the product greater than 3?
A. 3/4x3
B. 3/2x3
C. 1/12x3
D. 9/10x3
Answer:
B
Step-by-step explanation:
all you need to do for this is multiply the numerator by the 3.
3/4 times 3 = 9/4- thats not more than 3
3/2 times 3 = 9/2 - thats more than 3
1/12 times 3 = 3/12- thats not more than 3
9/10 times 3 = 27/10 thats not more than 3
could you give me brainliest I need to complete this level
