It would be $0.47 monthly interest and $5.63 yearly interest
What is the midpoint of CD?
Answer:
The endpoints of the line segment CD are:
$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$
We find the midpoint using th
help me guys I need help ?
Answer:
The answer is D. Hope this helps
You deposit $9000 in an account that pays 5% interest compounded quarterly.
A. Find the value of one year
B.Use the future value formula for simple interest to determine the effective annual yield
(Formula: A=P(1 +rt)
Step-by-step explanation:
Given:
Deposit P = $9000Interest rate r = 5% = 0.05Time t = 1 yearNumber of compounds n = 4A. Find the value of one year
[tex]A = P(1 + r/n)^{nt} = 9000(1+0.05/4)^4=9458.51[/tex]B. Use the future value formula for simple interest to determine the effective annual yield
[tex]A=P(1+rt)\\[/tex][tex]r=(A/P-1)/t[/tex][tex]r=(9458.51/9000-1)/1=0.0509[/tex] r = 5.1%Answer:
A) $9458.51
B) 5.09% (2 d.p.)
Step-by-step explanation:
Part ACompound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9000r = 5% = 0.05n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula and solve for A:
[tex]\implies \sf A=9000\left(1+\frac{0.05}{4}\right)^{4 \times 1}[/tex]
[tex]\implies \sf A=9000(1.0125)^4[/tex]
[tex]\implies \sf A=9458.508032...[/tex]
Therefore, the value of the account after 1 year is $9458.51.
Part BSimple Interest Formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = $9458.51P = $9000t = 1 yearSubstitute the given values into the formula and solve for r:
[tex]\implies \sf 9458.51=9000(1+r(1))[/tex]
[tex]\implies \sf 9458.51=9000(1+r)[/tex]
[tex]\implies \sf \dfrac{9458.51}{9000}=1+r[/tex]
[tex]\implies \sf r=\dfrac{9458.51}{9000}-1[/tex]
[tex]\implies \sf r=0.050945...[/tex]
[tex]\implies \sf r=5.0945... \%[/tex]
Therefore, the effective annual yield is 5.09% (2 d.p.).
Which of the following is the graph of y=sqrd-x-3?
___________
[tex] \: [/tex]
y = [tex]\sqrt{-x - 3}[/tex]
graph in picture!
please help need this done by tomorrow thank you [PHOTO]
The regular price of a skateboard is $74.99.
Find the sale price when the skateboard is reduced by:
a) 30% b) 25% c) 60% d) 50%
Calculate each sale price, including taxes of 13%.
Answer:
a)$62.2417
b)$65.9912
c)$39.7447
d)$47.2437
Step-by-step explanation:
a)100%-30%=70%
70%+13%=83%
83/100x74.99=62.2417
b)100%-25%=75%
75%+13%=88%
88/100x74.99=65.9912
c)100%-60%=40%
40+13=53
53/100x74.99=39.7447
d)100%-50%=50%
50+13=63%
63/100X74.99=47.2437
Hope this helps! Thanks.
HELPPP
Indicate the equation of the given line in standard form, in the equation box below.
The line through (2, –1) and parallel to a line with slope of 3/4.
Can someone please explain this by step by step? And give me the answer
Answer:
we know that q=-18
So if we see the fraction below it says q/3
We know that q is -18
Therefore, you substitute it in for q and you get
-18/3 which equals -6
8+4 =17+5
identify and explain the error made by the leaner
Answer:
let the value of x
Step-by-step explanation:
x=8+4=17+5
x=12=22x=22/12
x=1.8334
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)
Given :
A = {x: 2x² + 3x - 2 = 0 } B = {x : x² + 3x - 4 = 0 }To find :
(A U B ) × (A Π B )Solution :-
The first set is ,
A ={x : 2x² + 3x - 2 = 0}Solving the Quadratic equation ,
2x² + 3x - 2 = 0 2x² + 4x - x - 2 = 0 2x( x + 2) -1( x + 2 ) = 0(2x -1) ( x + 2) = 0 x = 0.5 , -2Hence ,
A ={0.5, -2}The second set is ,
B ={ x :x² + 3x - 4 = 0 }Solving the Quadratic equation ,
x² + 3x - 4 = 0 x² + 4x - x - 4 = 0 x( x + 4)-1 ( x +4) = 0 (x + 4) ( x -1) = 0 x = 1 , -4Hence ,
B ={1,4}Now ,
A U B = { 0.5 , 1 , 4 , -2} A Π B = {∅ }Since AΠ B is a null set , hence ,
A × B = {∅}In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming? In a group of 97 students, the number of students taking programming is twice the number of students taking math. There are 53 students taking exactly one of these subjects, and 15 are taking neither of these subjects. How many students are taking math? How many students are taking programming?
The number of student taking math is 37 while the number of students taking programming is 74
Universal set = 97
let
The number taking math = x
The number taking programming = 2x
The number of students that take exactly one subject = 53
The student taking neither of the subject = 15
The number of students taking only maths will be
x - n(m ∩ p)The number of students taking only programming will be
2x - n(m ∩ p)let
n(m ∩ p) = y
Therefore,
x - y + 2x - y = 53
3x - 2y = 53
Also,
97 = x + 2x - y + 15
3x - y = 82
Therefore,
3x - 2y = 53
3x - y = 82
-y -(-2y) = 82 - 53
y = 29
3x - 29 = 82
3x = 82 + 29
3x = 111
x = 111/3
x = 37
Finally,
number of students taking maths = 37
number of student taking programming = 37×2 = 74
Check similar problem on sets: https://brainly.com/question/16132324?referrer=searchResults
Directions: Find the slope of the lines graphed below.
1.
2.
we know,
slope = y_2 - y_1/x_2 - x_1
1.
according to the graph given points are,
(2,1) and (0,3)
now,
→ 3 - 1/0 - 2
→ 2/-2
→ -1
therefore, slope of the given graph is -1.
2.
according to the graph given points are,
(-6,2) and (0,1)
now,
→ 1 - (-6)/0-2
→ 7/-2
→ -3.5
therefore, slope of the given graph is -3.5 OR in fraction form it is 7/-2.
3.
according to the graph given points are,
(2,2) and (0,4)
now,
→ 4 - 2/0-2
→ 2/-2
→ -1
therefore, slope of the given graph is -1.
hope this answer helps you dear...take care and may u have a great day ahead!
yall what is this? I dont really know what to do
Answer:
you did it right
Step-by-step explanation:
Write an expression for the perimeter of the triangle shown below:
A). 5.5x − 9
B). 5.5x + 9
C). 10x − 39
D). 10x − 9
Answer:
Answer B 5.5x + 9
Step-by-step explanation:
Perimeter is the distance around the three sides of the triangle
P = (0.3x + 24) + (5x) + (0.2x - 15)
P = (0.3x + 5x + 0.2x) + (24 - 15)
P = 5.5x + 9
The solution to 3(x-8)+4x=8x+4
Answer: x = -28
Step-by-step explanation:
1) Distribute
3(x-8)+4x=8x+4
3x-24+4x=8x+4
2) Combine like terms
7x - 24 = 8x + 4
3) Move x(subtract 7x from both sides)
-24 = x + 4
4) Subtract 4 from both sides.
-28 = x
Hope it helps :)
The simplified solution of the given expression is x = -28.
Given that, to determine the simplified solution of the expression 3(x-8)+4x=8x+4
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3(x-8)+4x=8x+4
3x - 24 + 4x - 8x = 4
-x = 4 + 24
-x = 28
Thus, the simplified solution of the given expression is x = -28.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
297,060 ÷ 0.0004839 =
Answer:
613,887,166.76999
Step-by-step explanation:
hshsididodj bdnd
dbdbjdjd
nsbbdbd
bdbbdhd
Answer:
[tex]297,060 ÷ 0.0004839 =613887166.77[/tex]
The prize of a television was reduced from $250 to $200.
By, what percentage was the price of the telivision
reduced?
F 20%
G 25%
H 80%
J 50%
Answer: F 20%
Step-by-step explanation:
50 is 20% of 250
A rectangle is 51.6 cm tall and 45.6 cm wide. If it is reduced to a width of 3.8 cm, then how tall will it be?
Answer:
jjdttfyuy
Step-by-step explanation:
Please help. I am not sure how to solve. Please include step by step. Thank you for the help!
Answer:
[tex]h = \frac{V}{\pi r^{2}}[/tex]
h = 4 cm
Step-by-step explanation:
Given the formula for the volume (V) of a cylinder: V = πr ²h, and the following values for volume and radius:
V = 36π cm³
r = 3 cm
First, solve for h:
V = πr ²h
Divide both sides by πr ²:
[tex]\frac{V}{\pi r^{2} } = \frac{\pi r^{2}h}{\pi r^{2} }[/tex]
[tex]h = \frac{V}{\pi r^{2}}[/tex]
Next, solve for the height of the cylinder by substituting the given values for volume and radius into the formula:
[tex]h = \frac{V}{\pi r^{2}}[/tex]
[tex]h = \frac{36\pi }{\pi (3^{2})}[/tex] → π cancels out.
[tex]h = \frac{36}{9}[/tex]
h = 4 cm
HELPP
subtract a from 9, double the result, then add 10 to what you have
Answer:
Step-by-step explanation:
9 - a = 9 -a
9 - a + 10 = 19 - a
GUYS IS THIS CORRECT? CLASS 6 MATHS
Answer:
yes these all are correct
You buy tomatoes sauce for 0.37per ounce. One portion of potatoes gnocchi requires 3.5 ounces of tomatoe sauce. How much does the sauce for one portion cost
Answer:
it would cost $0.74 = 74 cents
Step-by-step explanation:
The cost of one ounce of tomato = $0.37
1 portion of potato gnocchi requires 2 ounces of tomato sauce.
To find the cost of one portion of the potato gnocchi, we have to simply find the cost of 2 ounces of tomato sauce.
That is:
Cost = 2 * 0.37 = $0.74
Hence, one portion of potato gnocchi costs $0.74
Since $1 = 100 cents, the cost in cents will be:
0.74 * 100 = 74 cents
A farmer has 15 boxes of eggs
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in three boxes to the total number of eggs.
Give your answer in its simplest form
Total
im stuck pls help me
Pls help ASAP I’ll brainlest
EXPERIMENT
PROBLEM
CONCLUSION
INFERENCE
x - 2/2 = 3x + 8/4
A. 12
B. -24
C. 16
x-2/2=3x+8/4
x-1=3x+2
-x. -x
-1=2x+2
-2. -2
-3=2x
÷2. ÷2
-3/2=x
David has one watermelon that weights 1867g. He splits it in half, and weights one half. That half weights 755g. How much does the other one weight?
Answer:
1112 grams
Step-by-step explanation:
1867-755=1112 g
Answer:
1112 grams.
Step-by-step explanation:
1867g - 755g = 1112 g
brainliest please. . . .
PLS HELP I ONLY HAVE 5 MIN
Answer:
I know this isn't really help but Desmos is a good place to help you with stuff like this.
Answer:
y-intercept = 34/5 (6.8), eqn, y = 0.4x +0.6
Step-by-step explanation:
Slope (m) = 0.4
(8-y)/(3-x) = o.4
8-y = 1.2 - o.4x
6.8 - y = -0.4x
y = 0.4x + 6.8
From y = mx + c , where c is the y-intercept
hence 6.8
if y=6 when x=40 find x when y=24
Answer:
160
Step-by-step explanation:
24/6=4
4 x 40 = 160
x is 160 when y is 24
Answer:
160
Step-by-step explanation:
Let x be... well x
24 ÷ 6 = 4
40 × 4 = 160
OR
40÷6 ≈6.66
6.6666666... × 24 = 160
what is the value of p(x)=4x+15 ?
Answer:
The answer is 10x
Step-by-step explanation: