Answer:
X=18y+5
EXPLANATION
4(X-5)/8 =9Y
(4X-20)/8 =9Y
4X-20=9Y×8
4X=72Y+20
X=(72Y+20)/4
X=18Y+5
Marcy has $1600 to invest at 8% annual interest compounded monthly. how long will it take her investment to grow to $2400?
It will take about 5 years for her investment to grow to $2400.
The formula for calculating the compound amount is expressed according to the equation;
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
A is the amount after t years = $2400P is the amount invested = $1600r is the rate = 8% = 0.08t is the time in yearsn is the compounding time = 12 (monthly)Substitute the given parameters into the formula to have:
[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]
Take the natural logarithm of both sides
[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]
Hence it will take about 5 years for her investment to grow to $2400
Learn more on compound interest here: https://brainly.com/question/24924853
which expression is equivalent to (6^5) (6^2)
the function f(x) = log 0.5 is decreasing.
true or false?
whats the exact length of BC?
-..........The answer is b-
--------------------------------------------------------
(15)²= (9)²+(BC)²
225=81+(BC)²
BC=√144
BC=12
Answer:
B:12
Step-by-step explanation:
The length of BC is 12 because we can use the Pythagorean theorem to solve this. First, we know what the hypotenuse is 15 and the one of the side lengths which is 9. he equation to solve this is h^2-a^2 when h is 15 and a=9. So, we we plug in the info, we get 15^2-9^2 which is 15*15-9*9 which is 225-81 and that is 144. We are not done yet because we need to find the square root of 144 since we squared 15 and 9 in the first place. The √144 is 12 because 12*12 is 144. Now, we have to check! The equation is a^2+b^2=h^2 when a=12, b=9, and h=15! So, it will be 12^2+9^2=15^2 which simplifies to 144+81=225 and that is true!! So thats why it is B. Hope this helps!!!!!!
Plz mark me as brainliest
Nancy and Bill collect coins. Nancy has x coins. Bill has 3 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.
..........................................
A pancake recipe calls for 4 eggs and 12 cups of flour. How many cups of flour would you need for a single egg?
Answer:
3
Step-by-step explanation:
i'd say 3
i divided 12 by 4 and then multiplied by one, since that is the amount of eggs we want
good luck! <3
how do i do this?? any answers pls
Step-by-step explanation:
In the given problem, there are two plans that can be represented with a linear function.
Plan A:A = total monthly cost of Plan A for every x number of movies that Sadie watches per month
Slope: $3 = The additional cost for every x number of movies watched per month
Y-intercept: $21 = The monthly cost of Plan A
Combining these elements together, we can establish the following linear function: A(x) = 3x + 21
Plan B:B = total monthly cost of Plan B for every x number of movies that Sadie watches per month
Slope: $1.50 = The additional cost for every x number of movies watched per month
Y-intercept: $27 = The monthly cost of Plan B
Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27 or [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].
Graphing:Plan A:In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.
Plan B:Similarly for Plan B, start with plotting the y-intercept, (0, 27).
Then, use the [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex] (rise 3, run 2), to plot the other points on the graph.
Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.
Interval of movies watched:The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B. The interval notation is: [0, 4).
This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.
(4,-5), (4, -1)
what is the slope
Answer:
there is no slope
Step-by-step explanation:
you cannot divide by zero
Answer:
slope is undefined
Step-by-step explanation:
The slope is the difference in y divided by the difference in x.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
That is the 2nd point's value minus the first, where the points are (x1, y1) and (x2, y2)
Given these 2 points, calculate the slope:
[tex]m=\frac{-1--5}{4-4}\\\\m=\frac{4}{0}[/tex]
In this case, the slope is undefined. A function cannot have multiple outputs for the same input, and an undefined slope has infinite outputs for 1 input. You can see that in the attached image, it's a vertical line.
what is the answer to this problem ( 1/5)² (3+2+5²)
SOMEBODY HELP ME
NO LNKS PLZ
Answer: 63
Step-by-step explanation:
[tex]a_4=-1+8^8\\a_4=63[/tex]
r÷st r = 180, s = 5, t = 4
Answer:
[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]
Step by step solution:
r ÷ st 180 ÷ 5 × 4180 ÷ 209A bus half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class half ticket from the station A to B costs 1000. Also, if two reserved first class full tickets and one reserved first class half ticket from A to B costs 4000, then the difference of the full first class fare from station A to B and the reservation charges for a ticket is
Answer:
A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...
Step-by-step explanation:
..right ya ???
1) Find the area of the shaded region
if the big diameter is 12 in, and the
small diameter is 8 in.
Answer:
the answer in 12 x 8÷2 =48
Write an inequality that represents the graph
Answer:
y<=-1/2x-2
Step-by-step explanation:
Help for points! please
Answer:
B 5/12
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
i just did it
have a nice dayyyyyyyyyyyyyyyy
What is the y-intercept of a line through (2, 7) and perpendicular to the graph of y =-3 /2 x +6
Answer:
5.5
Step-by-step explanation:
The line perpendicular to y =-3 /2 x + 6 is y = 2/3 x + 6. When you find the y-int from the graph you drew, the y-int is about 5.5
Hope that helps
Write the sentence as an equation.
u more than 178 equals p reduced by 309
Type a slash ( 1 ) if you want to use a division sign.
Submit
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
10
Step-by-step explanation:
Equation=5*2^3/2^2
a cafe sells a regular cup of coffee for $1 and a large sup for $1.50. melissa and her friend buy 5 cups of coffee and spend a total of $6. find the number of large cups.
Answer:
65
Step-by-step explanation:
it is the largest cup so it is 65
B is the midpoint of AC Find AB, BC and AC.
Step-by-step explanation:
Since B is the midpoint of AC. So,
AB = BC
12x - 12 = 4x + 28
12x - 4x = 28 + 12
8x = 40
x = 40/8
x = 5
Now,
AB = BC = 4(5) + 28
= 20 + 28
= 48 cm
Now
AC = AB + BC
AC = 48 + 48
AC = 96 cm
solve for x (x-6)^2-5=0
Answer:
x=6+√5 or x=6−√5
5-m=1.37 PLEASE HELP
Answer:
m = 3.63
Step-by-step explanation:
5-m =1.37
5-m-5 = 1.37-5
-m=-3.63
-m/-1=-3.63/-1
m= 3.63
Answer:
x = 3.63
Step-by-step explanation:
use elimination;
5 - m = 3.63
+5 +5
5 - 5 + 5 = 5
3.63 - 5 + 5 = 3.63
check answer:
5 - 3.63 = 1.37
therefore; x = 3.63
hope this helps!
3 tickets to the museum cost $12.75. At this rate, what is the cost of:
1 ticket?
5 tickets?
Answer:
1 ticket would be $4.25
5 tickets would be $21.25
Step-by-step explanation:
Hope that help, mind if a get a brainliest now?
Answer:
4.25 for 1 ticket, 21.25 for 5
Step-by-step explanation:
12.75 divided by 3 = 4.25 x 5 = 21.25
28.4 g = 1 oz
How many grams are in 9 4/5 ounces?
Answer:
277.825327
Step-by-step explanation:
Thx!
Choose the inequality that correctly represents the following sentence:
6 less than a number is at most 9.
Answer:
x - 6 ≤ 9
Step-by-step explanation:
using the keywords 'less than', 'a number', and 'atmost' we can identify the problem.
Willie's school is selling tickets to a play. On the first day of ticket sales the school sold 5 adult
tickets and 1 student ticket for a total of $80. The school took in $240 on the second day by
selling 14 adult tickets and 6 student tickets. Find the price of an adult ticket and the price of a
student ticket.
Answer:
Step-by-step explanation:
A I think sorry if I’m wrong
What do we do when we cite evidence?
Give a quote from the text
Explain evidence
Give your argument
Tell a joke
WILL MARK BRAINLY NO BOTS
Answer:Citing textual evidence requires students to look back into the text for evidence to support an idea, answer a question or make a claim. Citing evidence requires students to think more deeply about the text, analyze the author, source etc.
Step-by-step explanation: u havent given the text but i hope this helps
brainliest?
What is the first step in solving the equation 4b - 7 = 13.
Answer:
Add 7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]
Step-by-step explanation:
What is the answer for this one: If the temperature is 3 degrees and it falls by 12 degrees, what is the new temperature?
Answer:
-9 degrees
Step-by-step explanation:
3-12=-9
Answer:
-9 degrees
Step-by-step explanation:
Just think it through. If it's currently 3 degrees out side and then the temperature drops another 12 degrees, what will the temperature be.
If you're still having trouble visualizing it, picture it on a number line. It becomes:
3-12 = ?
3-12 = -9
Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $7 per pack, while hamburgers cost $12 per pack with taxes included. Jerry can spend a maximum of $70 on the food.
Answer: see below
Step-by-step explanation:you would do $5y + $6y - $50 or $11y - $50
If Hot dogs cost $5 per pack and hamburgers cost $6 per pack you would multiply the amount of packs by the amount of money it costs then you would subtract by the amount he can spend on food therefore the answer being
$5y + $6y - $50 or $11y - $50