Answer:
A = $27,445.50
Step-by-step explanation:
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 0.0825%/100 = 0.000825 per year.
Solving our equation:
A = 27000(1 + (0.000825 × 20)) = 27445.5
A = $27,445.50
The total amount accrued, principal plus interest, from simple interest on a principal of $27,000.00 at a rate of 0.0825% per year for 20 years is $27,445.50.
Answer: $11741
Step-by-step explanation:Rate 1: 8
4
1
%=8+1/4=
\,\,8.25\%\rightarrow 0.0825
8.25%→0.0825
\text{Rate 2: }8\tfrac{5}{8}\%=8+5/8=
Rate 2: 8
8
5
%=8+5/8=
\,\,8.625\%\rightarrow 0.08625
8.625%→0.08625
\text{Calculate Final Amount for Aubree}
Calculate Final Amount for Aubree
\overline{\phantom{\text{Calculate Final Amount for Aubree}}}
Calculate Final Amount for Aubree
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
P=27000\hspace{35px}r=0.0825\hspace{35px}t=20\hspace{35px}n=12
P=27000r=0.0825t=20n=12
A=27000\left(1+\frac{0.0825}{12}\right)^{12(20)}
A=27000(1+
12
0.0825
)
12(20)
A=27000(1.006875)^{240}
A=27000(1.006875)
240
A=139796.9278
A=139796.9278
\text{Calculate Final Amount for Addison}
Calculate Final Amount for Addison
\overline{\phantom{\text{Calculate Final Amount for Addison}}}
Calculate Final Amount for Addison
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=27000\hspace{35px}r=0.08625\hspace{35px}t=20
P=27000r=0.08625t=20
A=27000e^{0.08625(20)}
A=27000e
0.08625(20)
A=27000e^{1.725}
A=27000e
1.725
A=151538.0678
A=151538.0678
\text{How much more money Addison has:}
How much more money Addison has:
151538.0678-139796.9278
151538.0678−139796.9278
420 student 25 times 3 times the number of girls 2 times the number of boys how many girls amd how many boys
Complete Question
We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys
Answer:
The number of boys = x = 315 boys
The number of girls = y = 105 girls
Step-by-step explanation:
Let
The number of boys = x
The number of girls = y
We have 420 students
2 times 3 times the number of girls is equal to 2 times the number of boys
x + y = 420..... Equation 1
2 × 3y = 2x
6y => 2x
x => 6y/2 = 3y
We substitute 3y for x in Equation 1
3y + y = 420
4y = 420
y =>420/4
y => 105
Solving for x
x = 3y
x = 3 × 105
x = 315
Therefore,
The number of boys = x = 315 boys
The number of girls = y = 105 girls
Heya!
[tex] \underline{ \underline{ \bf{Question}}}: [/tex] In the given figure , ABC is a triangle in which AB = AC. Also a circle passing through B and C intersects the sides AB and AC at the points D and E respectively. Prove that AD = AE.
~Thanks in advance! :)
Answer:
See Below.
Step-by-step explanation:
We are given that ABC is a triangle in which AB = AC.
A circle passing through B and C also intersects the sides AB and AC at points D and E respectively.
And we want to prove that AD = AE.
By the secant-secant theorem (shown below), we know that:
[tex]AD(AB)=AE(AC)[/tex]
We are given that AB = AC. So, by substitution:
[tex]AD(AB)=AE(AB)[/tex]
And by dividing both sides by AB (AB ≠ 0), we acquire:
[tex]AD=AE[/tex]
Q.E.D.
Geometry Transversals simple answer needed
Answer:
C) 70
Step-by-step explanation:
m<1 = m<3 because of vertical angles
Since <3 = 70,
<1 also equals 70
11. Find the volume and the surface area of the solid.
Answer:
Part A
The surface area of the solid is 408 cm²
Part B
The volume of the solid is 312 cm³
Step-by-step explanation:
Part A
The surface area of the figure is found by finding the sum of the surface area of the individual rectangles that make up the figure as follows;
The areas of the rectangles are;
A₁ = 6 cm × 2 cm = 12 cm²
A₂ = 6 cm × 4 cm = 24 cm²
A₃ = 6 cm × 6 cm = 36 cm²
A₄ = 12 cm × 6 cm = 72 cm²
A₅ = 2 × 6 cm × 2 cm = 24 cm²
A₆ = 2 × 8 cm × 2 cm = 32 cm²
A₇ = 8 cm × 2 cm = 16 cm²
A₈ = 10 cm × 6 cm = 60 cm²
A₉ = 2 × 12 cm × 2 cm = 48 cm²
A₁₀ = 6 cm × 2 cm = 12 cm²
A₁₁ = 12 cm × 6 cm = 72 cm²
The area, A = A₁ + A₂ + A₃ + A₄ + A₅ + A₆ + A₇ + A₈ + A₉ + A₁₀ + A₁₁
Therefore, A = (12 + 24 + 36 + 72 + 24 + 32 + 16 + 60 + 48 + 12 + 72) cm² = 408 cm²
The surface area of the solid, A = 408 cm²
Part B
The volume is found similarly as follows;
V₁ = 6 cm × 6 cm × 2 cm = 72 cm³
V₂ = 8 cm × 6 cm × 2 cm = 96 cm³
V₃ = 12 cm × 6 cm × 2 cm = 144 cm³
The volume of the solid figure, V = V₁ + V₂ + V₃
∴ V = (72 + 96 + 144) cm³ = 312 cm³
The volume of the solid figure, V = 312 cm³.
Please Help! I’m not really sure about anything at this point.
Answer:
sorry bro im d.u.m.b
Step-by-step explanation:
:_ )
Solve 16 = 2x − 2. 2 4 6 8
Answer:
The answer to this question is 6.
Step-by-step explanation:
To find the value of x we must find what minus 2 gets us 16. To find this we pretty much just see what 2 to the power gives us 16, therefore we find that 2^4 is 16. We now must solve for x. We take all of our possible solutions and find what minus 2 gets us 4. We then can see that 6-2 is 4 and that 2^4 is 16. Therefore, we can conclude that x is equal to 6.
If the linear equation with a single variable is 2x - 2 = 16. Then the value of the variable x is 9.
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equation with a single variable is given below.
16 = 2x - 2
Then the value of x will be given as
18 = 2x
x = 9
Then the value of the variable x is 9.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
A red light flashes every 14 minutes. A blue light flashes every 24 minutes. When will the two lights flash together again if they last flashed together at 8 AM
Answer:
It happened in 168 minutes
Step-by-step explanation:
24: 48, 72, 96, 120, 144, 168
14: 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168
The common LCM is 168. It happened in seven 24's and in twelve 14's
3. (a) Expand and simplify the following expression.
X(5x-2)-3(x^2-2x+7)
Answer:
5xX - 3x^2 - 2X + 6x - 21
Step-by-step explanation:
x(5x-2)-3(x^2-2x+7) =
5x^2-2x-3(x^2-2x+7)
=
5x^2-2x-3x^2+6x-21
=(combine the like terms)
2x^2-2x+6x-21
=
2x^2+4x-21
Find the equation of the parabola with the vertex at (0, 0) and the focus at (- 1, 0)
A. Y^2=8x
B. Y^2= -4x
C. Y^2= -4y
D. Y^2= 4x
Answer:
Hi! The answer to your question is B. [tex]Y^2=-4x[/tex]
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!
- Brooklynn Deka
A fence is 10 feet tall. A stick leans against the fence as shown. What is the length of the stick?
A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.
Answer:
x-intercept = 3
y-intercept = -2
Step-by-step explanation:
P.S - The exact question is -
Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.
To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.
Proof -
By using the given information , we get
g(x) = [tex]\frac{2}{3} x - 2[/tex]
g(0) = 0 - 2 = -2
It also satisfy the condition g(0) = -2
Here,
by comparing with general form of slope-intercept form y = mx + c
where m = slope, c = y-intercept
Slope, m = [tex]\frac{2}{3}[/tex]
For x-intercept,
Put y = 0
⇒[tex]\frac{2}{3} x - 2[/tex] = 0
⇒[tex]\frac{2}{3}x = 2[/tex]
⇒x = 3
So,
x-intercept = 3
For y-intercept,
Put x = 0
⇒y = 0 - 2
⇒y = 2
∴
y-intercept = -2
Work out the area of the triangle(tap on the picture to see the whole equation)
Answer:
32.4mm²
Step-by-step explanation:
area of triangle =
1/2 × base × height "or" ( base × height ) ÷ 2
base= 12mm
height= 5.4mm
(12mm × 5.4mm) ÷ 2
= 32.4mm²
please help me with this i will give brainliest
HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
solutions at -1 and 11
Step-by-step explanation:
(-b ± √b²-4ac) / 2a
in this problem, a = 1, b = -10, c = -11
(10±√100-4(-1)(-11)) / 2(1) =
(10 + √144) / 2 = 22/2 = 11
(10 - √144) / 2 = -2 / 2 = -1
What is the sum of the two expressions? (2/7x + 5) + (4/7x - 3)
Answer:
= 6/7x+2
Step-by-step explanation:
just remove the parenthesis and combine like terms.
i hope this helps :)
Answer:
Step-by-step explanation:
Combine like terms.
2/7x and 4/7x are like terms
5 and -3 are like terms
[tex](\frac{2}{7}x + 5) + (\frac{4}{7}x - 3) = \frac{2}{7}x+ \frac{4}{7}x + 5 - 3\\\\\\ = \frac{2+4}{7}x+ 2 \\\\= \frac{6}{7}x+2[/tex]
2 % of 687.28 m Give your answer rounded to 2 DP.
Answer:
13.75m
Step-by-step explanation:
Question 2: What is the volume of this prism?
Answer:
42 cubic units
Step-by-step explanation:
2x3x7
The vertices of a figure are given. Draw the figure and its image after a dilation with the given scale factor. Then identify the type of dilation.
The vertices of a figure are given. Draw the figure and its image after a dilation with the given scale factor. Then identify the type of dilation.
Answer:
what is the picture????
solve for x show all work
Answer:
x=4
Step-by-step explanation:
we know the ratio of left to right is 2:1 because 6:3=2:1
the horizontal lines are parallel, so the other set of numbers follows the same proportions
[tex]x^{2} +2x+11=2(x+13.5)\\x^{2} +2x+11=2x+27\\x^{2} +2x-2x=27-11\\x^{2} =16\\x=\sqrt{16} \\x=4[/tex]
Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube
Plssss answer me fasttt
Answer:
h=8
Step-by-step explanation:
Fast fast!jjdbdbdjdjdbxjdj
Find the area of the polygon.
A. 336 feet squared
B. 13,824 feet squared
C. 288 feet squared
D. 384 feet squared
Answer:
12 x 24 = 288
32 - 24 = 8
8 x 12 = 96
96 divided by 2 = 48
288 + 48 = 336 ft2 is your answer.
2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?
Answer:
2:9
Step-by-step explanation:
To create the ratio, put the number of students that want pancakes to the number that wants waffles.
Since 2 want pancakes and 9 want waffles, the ratio will be 2:9
So, the answer is 2:9
Answer:
2:9
Step-by-step explanation:
beacause if every 2 students want pancakes and 9 want waffles
If 3cm represents 4m what is 6cm • 3cm?
Answer:
18cm duh
Step-by-step explanation:
Can someone help me with these questions? I'm really lost.
1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.
2. Graph the piecewise function.
f(x) = { 3x - 5 if x ≤ - 1 / -2x + 3 if -1 < x < 4 / 2 if x ≥ 4
3. Graph the step function over the interval -2 ≤ x ≤ 2.
f(x) = { x+ 3}
Answer:
Step-by-step explanation:
On the x axis have popcorn going up in 5s and up to the value 30 and on the y axis have drinks going up in 2.5s to the value 15.
The graph should look like similar to an 'exponential graph' because for every popcorn you buy, the drink will be half the price
Its probably late but, I hope this helped!!!.
Answer:
here is the graph!
Step-by-step explanation:
My graph represents the number of drinks and bags of popcorn that Judy will be able to purchase with her $30. For every two drinks Judy buy’s, she would have to buy one less popcorn.
Find the equation of a line that passes through the points (2,2) and (3,7).
Leave your answer in the form
y
=
m
x
+
c
Answer:
first find the gradient:
M;=∆y/∆x
hence;M=7_2/3_2=5/1
M=5
substituting in equation
y=mx+c take point (3,7) and point (x,y)
y-7/x-3=5
y-7=5(x-3)
y_7=5x_15
y=5x-15+7
y=5x-8
40 POINTS AND BRAINLIEST FOR THE BEST ANSWER!!!!
PLS ANSWER QUICK !!!!!!!!!!!!
A candle burns down at the rate of 0.75 inches per hour. The original height of the candle was 9 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 9) would represent a height of 9 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.5 inches per hour instead of 0.75 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Answer:
15
Step-by-step explanation:Welcome for the answer. This answer is for good intentions only dont flag me please.Step-by-step explanation:
Ordered Pairs
9 inches after 0 hours
8.15 inches after an hour
7.40 inches after 2 hours
6.65 inches after 3 hours
5.90 inches after 4 hours
4.15 inches after 5 hours
3.40 inches after 6 hours
Function
I don't believe it is a function but I could be wrong
120 students of a hostel food enough for 60 days. if 30 more students joined after 15 days. how long will the remaining food last.
Answer:
24 days
Step-by-step explanation:
120 students =30 days
120+30 =150 students
MORE/LESS METHOD
120 students (a) : 30 days(y)
150 students (b) : x
Find the value of x using the formula: a/b × y
If you think the value of x will be more than y then the bigger number will be the numerator. If u think x will be less, then the smaller number will be in the numerator.
I predict that x will be less than y
THEREFORE... 120/150 ×30
= 24 days
Step-by-step explanation:
ans is simple so plz tell me that it is right or wrong and also it is helpful to u or not
plss help n dont be a B n give me sum gæy link :|
Solve for x
-3x + 6 = 2x - 24
A) -30
B) -6
C) 6
D) 30
Answer:
6
Step-by-step explanation:
ok
Lets start by grouping like terms
we get
-5x=-30
divide -5 from both sides
x=6
Answer:
x = 6 or C) 6
Step-by-step explanation:
Step 1: We will subtract 2x from both sides.
−3x + 6 − 2x = 2x − 24 − 2x
To understand a bit better: -3x - 2x = -5x and 2x - 2x = 0 so it will end up looking like this:
−5x + 6 = −24
Step 2: We will subtract 6 from both sides.
−5x + 6 − 6 = −24 − 6
−5x = −30
Step 3: We will divide both sides by -5.
−5x/−5 = −30/−5
Both will equal to positive 6 so it is your x, I hope this somewhat helped you better understand the equation!
In what way is a debit card similar to a check? a. You must always provide a signature to use either. b. Both always take a few days to clear, so there is some float time until the payment goes through. c. Both pull money directly from a checking or savings account. d. Both charge interest on the purchases you make with them.
Answer:
both pull money directly from a checking or savings account.
Answer:
c
Step-by-step explanation:
i have been on this test like- forever trying to figure this out im horrible at math someone please help me-
Answer:
Step-by-step explanation:
total cost = c
students = s
cost = 7
c = s*7
independent is s
dependent is c