Answer:
Correct choice: b. $1221.00
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested on each compounding period. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
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
The initial deposit on a savings account is P = $1000. The account provides an annual rate of r = 4% = 0.04 compounded monthly. The value of n is 12 since there are 12 months in a year. The money is left in the account for t=5 years. Substituting the values:
[tex]{\displaystyle A=\$1000\left(1+{\frac {0.04}{12}}\right)^{12*5}}[/tex]
[tex]{\displaystyle A=\$1000\left(1.00333}\right)^{60}}[/tex]
A = $1221
Correct choice: b. $1221.00
The store buys shoes at a wholesale price of $50, and their markup is 42%. What is the retail price?
i think it might be 2100
Is (x-1) a factor of 2x3 - 15x2 + 22x + 15
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
The container that holds the water for the football team is 1/6 full. After pouring in 11 gallons of water, it is 2/3 full. How many gallons can the container hold?
Answer:
The container can hold 22 gallons of water.
Step-by-step explanation:
Let 'g' be the number of gallons a container can hold
Given the initial amount of water = 1/6 gGiven that 11 gallons of water have been added to the container.
so the final quantity will become = 2/3 gThus, the equation becomes
[tex]\frac{2}{3}g-\frac{1}{6}g=11[/tex]
Multiply by LCM 6
[tex]\frac{2}{3}g\cdot \:6-\frac{1}{6}g\cdot \:6=11\cdot \:6[/tex]
[tex]4g-g=66[/tex]
[tex]3g=66[/tex]
Divide both sides by 3
[tex]\frac{3g}{3}=\frac{66}{3}[/tex]
[tex]g=22[/tex]
Therefore, the container can hold 22 gallons of water.
Joe solved the equation 3 + x/2 = 10 and justified each step as shown. Identify Joe's error and fix his mistake. ( Only answer if you truly know how. No Plagiarism and please don't reposted another students answer on brianly. Will Mark Brainliest).
Happy Holidays! :)
He swapped the Subtraction Property of Equality and the Multiplication Property of Equality.
The proper steps in order would be as shown:
3 + x / 2 = 10 Given equation
x / 2 = 7 Subtraction Property of Equality (-3 from both sides)
x = 14 Multiplication Property of Equality (x2 on both sides)
A box contains 4 red pens, 3 blue pens, and 5 black pens. A pen is selected at random, not replaced, and then a second pen is selected. Find probability of: P(red, then blue)
Answer:
bbbbbb
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Please help on this question
Answer: bagles: 200 muffins: 164
Step-by-step explanation:
Need help ASAP!!
HELP!!!!!
Answer:
Option D
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph attached,
Since, the given line passes through two points (-3, 0) and (0, 2),
Slope of the line = [tex]\frac{2-0}{0-(-3)}[/tex]
= [tex]\frac{2}{3}[/tex]
y-intercept of the line is the point of intersection of the line and y-axis.
Therefore, y-intercept of the line given in the graph is,
y = 2 units
Option D is the answer.
A parabola has the focus at (4, 6) and the directrix y = –6. Which equation represents this parabola?
(x – 4)2 = 24y
(x – 4)2 = StartFraction 1 Over 24 EndFractiony
(x – 4)2 = –24y
(x – 4)2 = Negative StartFraction 1 Over 24 EndFractiony
Answer:
Step-by-step explanation:
If you graph both the focus and the directrix you will see that the directrix is below the focus...12 units below to be exact. The focus is on the vertical line x = 4, so the vertex also has an x coordinate (which is actually h since h and k represent the vertex) of 4. The vertex is exactly halfway between the focus and the directrix, so that means that the vertex is at (4, 0). h = 4, k = 0. The standard form for this parabola (we know it opens upwards since the parabola ALWAYS wraps itself around the focus and is directed away from the directrix) is:
[tex](x-h)^2=4p(y-k)[/tex]
p is the number of units between the focus and the vertex, or the vertex and the directrix (which is the same number of units since the vertex is smack dab in the middle of them!). That means that p = 6. Filling in 6 for p, 4 for h, and 0 for k we have:
[tex](x-4)^2=4(6)(y-0)[/tex] and simplify to
[tex](x-4)^2=24y[/tex] which is the first choice you're given.
The equation that shows the parabola when parabola has the focus at (4, 6) and the directrix y = –6 should be considered as the (x – 4)2 = 24y.
What is a parabola?In terms of mathematics, a parabola represent the plane curve in which there is the mirror-symmetrical and should be made of U-shaped.
Since there has the focus at (4, 6) and the directrix y = –6
So the first equation should be considered.
Learn more about parabola here: https://brainly.com/question/8063993
According to the graph, what is the value of the constant in the equation
below? I NEED HELP ASAP!
Step-by-step explanation:
2 * 6 = 6 * 2 = 10 * 1.2 = 12 * 1 = 12.
The constant value is 12 (C).
John has 16 boxes of apples. Each box holds 14 apples. If 8 of the boxes are full, and 8 of the boxes are half full, how many apples does John have?
A. 44
B. 112
C. 224
D. 168
Answer:112
Step-by-step explanation:multiply and divide for your answer
50mgs for every 60lbs how much mgs for 110 lbs
Answer:
would it be 40?
Step-by-step explanation:
Answer:
The answer is either 1.0022727272727274, 40, or 1.8375000000000001.
Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!
Elsa took out a 4-year loan to buy a car at a 7.25% simple interest rate. If she has to pay $2,900 in interest. How much interest did she pay each 1 year?
Answer:
her life
Step-by-step explanation:
what is 0.001332 in scientific notation i need help
Explanation:
Which statement about this equation is true?
3(4x - 2) = 12x
a. The equation has one solution.
b. The equation has no solution.
c. The equation has a few solutions.
d. The equation has many solutions.
Answer:
There are no solutions please mark brainliest
Step-by-step explanation:
Answer:
B. this equation has no solution
Step-by-step explanation:
distribute the 3
12x-6=12x
get the ex on one side
-6=0
-6 does not equal 0
what is equivalent to 1/2 (2x + 7)
(8x+1)÷5=3x-6
find x
Answer:
31/7
Step-by-step explanation:
8x+1 = 15x-30
31 = 7x
(31/7) = x
Answer:
8x + 1 =3x-6
--------
5
8x+1=15x-30
8x-15x= -30-1
-7x=-31
x=31
---
7
x=4.42
I want to make sure if this was the right answer
Answer:
no, I believe the correct answer would be D. (-4, 4)
Answer:
(-4, 4)
Step-by-step explanation:
Even though I don't see it explained anywhere, it seems that what looks like the coordinates of two points is really the coordinates of the first point and the translation.
That means that (-9, 6) is the original point.
(5, -2) is the translation which is a translation of 5 in x and a translation of -2 in y.
Start with (-9, 6)
Apply the translation to x and y (-9 + 5, 6 + (-2))
You get (-4, 4)
Answer: (-4, 4)
please answer asap i’m timed. WILL GIVE BRAINLIEST!!
The side lengths of triangle RST are 5, 12, and 13. Which set of ordered pairs from a triangle that is congruent to triangle RST?
a) (-3, -2),(-3,11),(9,-2)
b) (1,-3),(6,-3),(6,10)
c) (2,-1)(7,-1),(2,11)
d) (5,1),(1,13),(12,1)
Answer:
sin(R) = 12/13
tan(T) = 5/12
Step-by-step explanation:
Answer:
C. (2,–1)(7,–1),(2,11)
Step-by-step explanation:
I am taking the exam right now and Im actually a genius!!!
Express the given sums using sigma notation.
2/5+4/9+6/13+....+20/41
Answer:
олвововововлвлвлвлвлвлввлвлв
Answer:
[tex]\begin{array}{ccc}&10&&&\Sigma&\frac{2n}{4n + 1}&&n=1&\end{array}[/tex]
I'll mark brainly for who ever answers
Answer:
B
Step-by-step explanation:
Let the width be x, and the length be y
xy = 50
y = 2x
2x^2 = 50
x^2 = 25
x = 5
y = 10
3*8 = 24
Answer:
B
Step-by-step explanation:
Let the width be x, and the length be y
xy = 50
y = 2x
2x^2 = 50
x^2 = 25
x = 5
y = 10
3*8 = 24
Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the left or to the right.
a.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left.
b.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.
c.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right.
d.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right.
Answer:
B
Step-by-step explanation:
a cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats were empty?
Answer:
60%
Step-by-step explanation:
A rational Function is a function whose equation contains a rational expression.
True or false?
Answer:
True is correct
Step-by-step explanation:
Blake drives 448 miles on 16 gallons. How many miles does Blake drive on one gallon?
Answer:
28
Step-by-step explanation:
i just divided 448 and 16 and got that, om on that same question
here is how to divide that so you know on your own
Step 1:
Start by setting it up with the divisor 16 on the left side and the dividend 448 on the right side like this:
1 6 ⟌ 4 4 8
Step 2:
The divisor (16) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
1 6 ⟌ 4 4 8
Step 3:
Multiply the divisor by the result in the previous step (16 x 0 = 0) and write that answer below the dividend.
0
1 6 ⟌ 4 4 8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
1 6 ⟌ 4 4 8
- 0
4
Step 5:
Move down the 2nd digit of the dividend (4) like this:
0
1 6 ⟌ 4 4 8
- 0
4 4
Step 6:
The divisor (16) goes into the bottom number (44), 2 time(s). Therefore, put 2 on top:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
Step 7:
Multiply the divisor by the result in the previous step (16 x 2 = 32) and write that answer at the bottom:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
3 2
Step 8:
Subtract the result in the previous step from the number written above it. (44 - 32 = 12) and write the answer at the bottom.
0 2
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2
Step 9:
Move down the last digit of the dividend (8) like this:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
Step 10:
The divisor (16) goes into the bottom number (128), 8 time(s). Therefore put 8 on top:
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
Step 11:
Multiply the divisor by the result in the previous step (16 x 8 = 128) and write the answer at the bottom:
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
1 2 8
Step 12:
Subtract the result in the previous step from the number written above it. (128 - 128 = 0) and write the answer at the bottom.
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
- 1 2 8
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 448 divided by 16 calculated using Long Division is:
28
0 Remaind
What type of triangle is this?
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible
Answer:
HL
Step-by-step explanation:
In both triangle, hypotenuse and one leg is congruent. So, HL congruent
Twice the sum of a number and five is equal to 40 (translate to an algebraic equation)
The algebraic equation representing the given statement is
2(x + 5) = 40.
We have,
Let's translate the given statement into an algebraic equation.
The sum of a number (let's call it x) and five can be expressed as (x + 5).
Twice the sum of a number and five is equal to 40, so we can write it as:
2(x + 5) = 40
Therefore,
The algebraic equation representing the given statement is
2(x + 5) = 40.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Jackson painted 80 bird house. 30% of the bird houses were painted green how many green bird houses did Jackson paint
This is from the same project that I was struggling with and was similar to the other problem but I couldn't figure it out.
9514 1404 393
Answer:
y = -1/4x^2 -3/2x +3/4
Step-by-step explanation:
You know that vertex form is ...
y = (1/(4p))(x -h)^2 +k
for a focus-vertex distance of p and a vertex of (h, k).
Here, the focus-vertex distance is 2-3 = -1 (difference of y-coordinates), and the vertex is (h, k) = (-3, 3). This means the vertex form equation is ...
y = -1/4(x +3)^2 +3
Expanding the square gives ...
y = -1/4(x^2 +6x +9) +3
y = -1/4x^2 -3/2x +3/4
_____
Additional comment
The square of a binomial is ...
(x +a)^2 = x^2 +2ax +a^2
URGENT !!
A popular television show recently released a video
preview for the upcoming season on íts website As
fans of the show discover the video, the number of
views of the preview video has grown each day
during the last 2 vweeks. The number of days since
the release of the video and the natural log of the
number of video views ís shown in the scatterplot.
Answer:C
Step-by-step explanation:
Solve the formula Ax+By = C for A.
O A A+
+ By
O B. A=C-BY
x
O C. A = C+By
O D. A = C-BY
X
Answer:
[tex]A = \frac{C - By}{x}[/tex]
Step-by-step explanation:
Given
[tex]Ax + By = C[/tex]
Required
Solve for A
The question implies that we make A the subject of the formula.
Start by subtracting By from both sides of the equation by x
[tex]Ax + By - By= C - By[/tex]
[tex]Ax = C - By[/tex]
Divide both sides by x
[tex]\frac{Ax}{x} = \frac{C - By}{x}[/tex]
[tex]A = \frac{C - By}{x}[/tex]
Solved
