A hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the first month and then pays one-third of the previous month’s payment each of the following months until the invoice is paid in full. Approximately how much of the invoice will be paid after the fourth month?
$1,451.00
$2,095.89
$2,149.63
$2,167.54
Answer:
$2,149.63
Step-by-step explanation:
She makes an initial payment of $1,451 and pays one-third of the previous month's payment each of the following months.
1/3 × $1,451 = $483.67 (second month)
$483.67 + $1,451 = $1,934.67
1/3 × $483.67 = $161.22 (third month)
$161.22 + $1,934.67 = $2,095.89
1/3 × $161.22 = $53.74 (fourth month)
$53.74 + $2,095.89 = $2,149.63
$2,149.63 of the invoice will be paid after the fourth month.
Hope that helps.
Approximately $2,149.63 of the invoice will be paid after the fourth month.
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The patient makes an initial payment of $1,451 in the first month.
In each subsequent month, the patient pays one-third of the previous month's payment.
Let P be the amount paid in the first month, and let M be the amount paid in each subsequent month.
Then we have:
P = $1,451
M = (1/3)P
So the amounts paid in each month are:
Month 1: $1,451
Month 2: (1/3)P = (1/3)($1,451) = $483.67
Month 3: (1/3)M = (1/3)($483.67) = $161.22
Month 4: (1/3)M = (1/3)($161.22) = $53.74
The total amount paid after four months.
= $1,451 + $483.67 + $161.22 + $53.74
= $2,149.63
Therefore,
Approximately $2,149.63 of the invoice will be paid after the fourth month.
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Solve equation ?
2x - 10 = 10 - 3x
A. 3
B. 2
C. 10
D.
Answer:
x=4
Step-by-step explanation:
I'm good at math.
Reasoning The area of a square is 64 cm2.
Explain why it cannot have a side length of -8 cm.
64 is not divided by eight four times. A square has four sides. Since 64 is divided by 16 four times. I think the sides will be of length 16cm.
Hopefully it helps
Plzzzzzzzz help right answer gets brainly
Answer:
it the first one
Step-by-step explanation:
I'm sorry if worng
Answer:
5x[tex]10^{9}[/tex] is scientific notation for 5,000,000,000
Step-by-step explanation:
5,000,000,000= 5x 1,000,000,000
= 5x [tex]10^{9}[/tex]
What are the roots of the quadratic equation y=x^2 - 10x +125?
Answer:Look at the step by step it’s correct
Step-by-step explanation:
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. The correct option is D.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Suppose that the given quadratic equation is
ax² + bx + c = 0
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
For the given equation, the value of a, b, and c is 1, -10, and 125, respectively. The roots of the given quadratic equation are,
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{-(-10) \pm \sqrt{(-10)^2 - 4(1)(125)}}{2(1)}\\\\x = \dfrac{10 \pm \sqrt{100 - 500}}{2}\\\\x = \dfrac{10 \pm 20i}{2}\\\\[/tex]
x = 5 ± 10i
Hence, the correct option is D.
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Find the perimeter. Simplify your answer.
Answer:
3a+16
Step-by-step explanation:
To find perimeter, you add up the lengths of all of the sides.
a+3
a+5
a+8
You would add all of the sides together to get
a+3+a+5+a+8
Let's add the numbers first
3+5+8=16
Now the letters
there are (3) As
3a
The answer is 3a+16
Hope this helps :-)
Angle Addition Crossword
Find the missing angles. To check the accuracy of your responses,
place your answers in the crossword grid,
Answer:
Step-by-step explanation:
1). m∠AEC = m∠AEB + m∠BEC
= 21° + 37°
= 58°
2). m∠BED = m∠BEC + m∠CED
= 37° + 44°
= 81°
3). m∠IKF = m∠IKH + m∠HKG + m∠GKF
= m∠IKH + m∠HKG + m∠IKH [Since, ∠IKH ≅ ∠GKF]
= 2∠IKH + m∠HKG
103° = 2∠IKH + 41°
2(∠IKH) = 103 - 41
m(∠IKH) = 31°
4). m∠AED = m∠AEB + m∠BEC + m∠CED
= 21° + 37° + 44°
= 102°
5). m∠JKG = 108°
m∠JKG = m∠JKI + m∠IKH + m∠HKG
108° = m∠JKI + 31° + 41°
m∠JKI = 108° - 72°
m∠JKI = 36°
6). m∠HKF = m∠GKF + m∠HKG
= m∠IKH + m∠HKG [Since, m∠GKF = m∠IKH]
= 31° + 41°
= 72°
7). m∠NQO = m∠MQN = 64°
8). m∠JKF = m∠JKI + m∠IKF
= 36° + 103°
= 139°
8). m∠MQO = 2(m∠NQO)
= 2(64)°
= 128°
9). m∠LQO = 156°
m∠LQM = m∠LQO - m∠MQO
= 156° - 128°
= 28°
10. m∠NQP = m∠NQO + m∠OQP
= 64° + m∠LQM [Since ∠OQP ≅ ∠LQM]
= 64° + 28°
= 92°
Ariel is making flower arrangements. She has 48 roses and 36 daisies. If Ariel wants
to make the greatest number of flower arrangements with no flowers left over.
Complete the guided sentence below.
If x = 3, find a balanced equation among the given equations
a.4x+2=15
b.4(x+1)+3=19
c.3(x+4)=17
d.5x+2=10
The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours, there are 50 bacteria, and after 5 hours, there are 400 bacteria. How many bacteria will there be after 7 hours?
Given:
The number of bacteria in a culture is increasing according to the law of exponential growth.
After 2 hours, there are 50 bacteria, and after 5 hours, there are 400 bacteria.
To find:
The number of bacteria after 7 hours.
Solution:
Let y be the number of bacteria after x hours.
The general exponential growth model is
[tex]y=ab^x[/tex]
where, a is initial value and b is growth factor.
After 2 hours, there are 50 bacteria. So, the point is (2,50). Put x=2 and y=50.
[tex]50=ab^2[/tex] ...(ii)
After 5 hours, there are 400 bacteria. So, the point is (5,400). Put x=5 and y=400 in general exponential growth model.
[tex]400=ab^5[/tex] ...(iii)
Divide equation (iii) by (ii).
[tex]\dfrac{400}{50}=\dfrac{ab^5}{ab^2}[/tex]
[tex]8=b^3[/tex]
Taking cube root on both sides, we get
[tex]b=2[/tex]
Put b=2 in (ii).
[tex]50=a(2)^2[/tex]
[tex]50=4a[/tex]
[tex]\dfrac{50}{4}=a[/tex]
[tex]a=12.5[/tex]
Put a=12.5 and b=2 in (i).
[tex]y=12.5(2)^x[/tex]
This is the equation which represents number of bacteria after x hours.
Put x=7 in the above equation.
[tex]y=12.5(2)^7[/tex]
[tex]y=12.5(128)[/tex]
[tex]y=1600[/tex]
Therefore, the number of bacteria after 7 hours is 1600.
Write 6.38612 correct to 2 decimal places.
b) work out 4 2/5 divided by 1 1/5
Answer - 5 3/5
Work -
Step 1: Turn the mixed numbers into improper fractions
4 2/5 = 22/5
1 1/5 = 6/5
Step 2: Add the improper fractions
22/5 + 6/5 = 28/5
Step 3: Simplify
28 / 5 = 5 R3
So, 5 3/5
Cory is building a model and needs 12 identical rods which are each 3/4 inch long. He wants to cut them all from the same rod. How long of a rod does he need?
Your answer should be 9 inches long
10+10
What is this...
Answer:
20
Step-by-step explanation:
Four more than the product of a number and 10 is at most the opposite of 12.
Now write 40,630 in scientific notation.
40,630 =
× 10
Answer:
4.063 * 10^4 or 4.063 times ten the fourth power
Step-by-step explanation:
since 40,630/10^4 = 4.063, and 4.063 * 10^4 = 4.063 * 10000 = 40630
(9x-9)(9×+9), your finding the difference between two squares. im have some trouble in how to solve it.
Answer: Your answer is 0 (F.O.I.L) first. outer. inner. last. Or you could use what my teacher calls the magic box
Step-by-step explanation:
So for the boxes you multiply for example the top left box you multiply the 9 above it and the 9 to the left or like the top right box you multiply the -9 above it and the 9 on the outside of the box to the left
Please help! I struggle with math so much! Can someone please explain! (2x−6)+4(x−3) =
Answer:
x = 3
Step-by-step explanation:
Simplifying
(2x + -6) + 4(x + -3) = 0
Reorder the terms:
(-6 + 2x) + 4(x + -3) = 0
Remove parenthesis around (-6 + 2x)
-6 + 2x + 4(x + -3) = 0
Reorder the terms:
-6 + 2x + 4(-3 + x) = 0
-6 + 2x + (-3 * 4 + x * 4) = 0
-6 + 2x + (-12 + 4x) = 0
Reorder the terms:
-6 + -12 + 2x + 4x = 0
Combine like terms: -6 + -12 = -18
-18 + 2x + 4x = 0
Combine like terms: 2x + 4x = 6x
-18 + 6x = 0
Solving
-18 + 6x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 6x = 0 + 18
Combine like terms: -18 + 18 = 0
0 + 6x = 0 + 18
6x = 0 + 18
Combine like terms: 0 + 18 = 18
6x = 18
Divide each side by '6'.
x = 3
Simplifying
x = 3
Answer:
the answer is 6x-18
Step-by-step explanation:
Solve the formula D=2a+b for a in general
Answer:
a = (D-b) / 2
Step-by-step explanation:
Goal : move "a" to the left side and everything else to the right side
D=2a+b (swap left and right sides)
2a + b = D (subtract b from both sides)
2a = D - b (divide both sides by 2)
a = (D-b) / 2 (answer)
The solution of the formula expressed 'a' in terms of the variable D and b is given by a = (D - b) / 2.
To solve the formula D = 2a + b for 'a', we need to isolate 'a' on one side of the equation.
Subtract 'b' from both sides of the equation to move it to the right-hand side.
D - b = 2a
To solve for 'a', we need to get rid of the coefficient of 'a', which is 2. Divide both sides of the equation by 2.
(D - b) / 2 = a
The equation (D - b) / 2 = a is the solution for 'a' in general.
formula D = 2a + b, 'D' is expressed in terms of 'a' and 'b'.
To solve for 'a', we want to find an expression that represents 'a' on its own without any other variables on the right-hand side of the equation.
Perform inverse operations to isolate 'a'.
first, move the 'b' term to the right side by subtracting 'b' from both sides. This step ensures that all the terms involving 'a' are on one side of the equation.
Next, divide both sides by the coefficient of 'a', which is 2, to cancel out the multiplication of 'a'.
This step leaves 'a' alone on the left side, thus giving us the solution for 'a'.
Therefore, the required formula is (D - b) / 2 = a, expresses 'a' in terms of 'D' and 'b'.
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A package of 8-count AA batteries costs $6.24. A package of 20-count Of batteries costs $15.80. Which statement about the unit prices is true?
A) The 20-count pack of AA batteries has a lower unit price of $0.78 per battery.
B) The 8-count pack of AA batteries has a lower unit prices of $0.78 per battery.
C) The 20-count pack of AA batteries has a lower unit price of $0.79 per battery.
D) The 8-count pack of AA batteries has a lower unit price of $0.79 per battery.
The 8-count pack of AA batteries has a lower unit prices of $0.78 per battery.
Option B is correct.
What is division?Division in mathematics is the process of breaking a number up into equal parts, and finding out how many equal parts can be made. For example, dividing 15 by 3 means splitting 15 into 3 equal groups of 5.
According to the question
Unit price of 8 AA batteries
= 6.24 ÷ 8
= 0.78
Unit price of 20 AA batteries
= 15.8 ÷ 20
= 0.79
Since, 0.78 < 0.79
Therefore, the unit price of 8 AA batteries is low.
Option B is correct.
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Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob chargers $25 each time he mows a lawn and Sarah chargers $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked. ( Brainliest Answer) please be honest with your response.
Answer: x = # of lawns
50 divided by 4 = x
Step-by-step explanation:
not positive but hope it helps
The toco toucan, Ramphastos toco, is the largest member of the toucan family and possesses the largest beak relative to body size of all birds. This exaggerated feature has been interpreted in various ways, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases.
The table provided contains data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:
Temperature (∘C) 1515 1616 1717 1818 1919 2020 2121 2222
Percent heat loss from beak 3232 3434 3535 3333 3737 4646 5555 5151
Temperature (∘C) 2323 2424 2525 2626 2727 2828 2929 3030
Percent heat loss from beak 4343 5252 4545 5353 5858 6060 6262 6262
Required:
a. What is the equation of the least‑squares regression line for predicting beak heat loss, as a percent of total body heat loss, from temperature?
b. What percent of the variation in beak heat loss is explained by the straight‑line relationship with temperature?
Answer:
(a) [tex]\hat y=0.919+2.065x[/tex]
(b) 83.6%
Step-by-step explanation:
(a)
A least square regression line is to be formed for predicting beak heat loss, as a percent of total body heat loss, from temperature.
Use MS-Excel to form the regression line.
Go to Data → Data Analysis → Regression
A dialog box will open.
Select the X and Y variables.
Press OK.
The regression output is attached below.
The equation of the least‑squares regression line is:
[tex]\hat y=0.919+2.065x[/tex]
(b)
The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent variable).
Consider the regression output attached below.
The R² value is 0.8360.
That is 83.6% of the variation in beak heat loss is explained by the straight‑line relationship with temperature.
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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PLEASE HELP ME I CANT DI THIS AND I HAVE TO TURN IT IN NOW
Answer:
20 c E
12 A G I
8 d H
16 B F
Step-by-step explanation:
euler paths must touch?
Answer:
huh
Step-by-step explanation:
How do you do this one ?
Answer:
see the attachment for a table
Step-by-step explanation:
You asked "how do you do this one?" My answer to that is, "use a graphing calculator or spreadsheet."
The given formula can be evaluated repeatedly for different values of t quite easily by a graphing calculator or spreadsheet. Enter the formula and have it be applied to the given t-values. A spreadsheet provide cell formatting so that rounding can be to whatever precision you desire.
The values in the table attached will need to be rounded to one decimal place "by hand."
__
Note that we have assumed that H(t) and y(t) are the same function.
NEED HELP FAST---------------Slope equals negative 9, y-intercept equals 3------ A.
y equals negative 3 x minus 3
B.
y equals negative 3 x plus 3
C.
y equals negative 9 x minus 3
D.
y equals negative 9 x plus 3
E.
y equals 3 x plus 9
Answer:
y = -9x +3
Step-by-step explanation:
Slope = -9
y intercept = 3
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -9x +3
Answer:
D. y equals negative 9 x plus 3 (y = -9x + 3)Step-by-step explanation:
given:
slope = -9
y intercept = 3
use the slope intercept form : y = mx + b
m = slope
b = y intercept
just plugin the values into the formula:
y = -9x + 3
Mrs. Perkins makes study guides for her class of 21 students. She uses 252 sheets of paper. How many sheets of paper are in each study guide?
A. 12 sheets
B.231 sheets
C. 273 sheets
D. 5,292 sheets
Step-by-step explanation:
D
Sets of rational numbers integers and whole numbers
sets of rational numbers = Q
sets of rational numbers is represented by [tex] \mathbb{Q}[/tex]
Sets of intigers is represented by Z
Sets of whole numbers is represented by W
Rotate the following points 90 degrees CLOCKWISE: A(1,2) B(7,5) C(6,9)
Plz help I'm on a major test and I dont have long
Answer:
Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h).
