Answer:
x= 6, y= 5
Step-by-step explanation:
-2x +3y= 3 -----(1)
-4x +5y= 1 -----(2)
(1) ×2:
-4x +6y= 6 -----(3)
(3) -(2):
-4x +6y -(-4x +5y)= 6 -1
Expand:
-4x +6y +4x -5y= 5
y= 5
Substitute y= 5 into (1):
-2x +3(5)= 3
-2x +15= 3
2x= 15 -3
2x= 12
x= 12 ÷2
x= 6
Suppose you invest 18,400.00 into an account earning an interest rate of 2.991% compounded continuously for 2 year(s) and thereafter earning an interest rate of 4.192%compounded yearly. How much money is in the account after 9 years?
[tex]~~~~~~ \stackrel{\textit{for the first 2 years}}{\textit{Continuously Compounding Interest Earned Amount}} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$18400\\ r=rate\to 2.991\%\to \frac{2.991}{100}\dotfill &0.02991\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 18400e^{0.02991\cdot 2}\implies A = 18400e^{0.05982}\implies A\approx 19534.276[/tex]
now let's grab that amount and invest it for the remaining 7 years at 4.192% compounded.
[tex]~~~~~~ \stackrel{\textit{for the last 7 years}}{\textit{Compound Interest Earned Amount}}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount deposited}\dotfill &\$19534.276\\r=rate\to 4.192\%\to \frac{4.192}{100}\dotfill &0.04192\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{yearly meaning once}\end{array}\dotfill &\\t=years\dotfill &7\end{cases}[/tex]
[tex]A=19534.276\left(1+\frac{0.04192}{1} \right)^{1\cdot 7}\implies \boxed{A\approx 26039.82}[/tex]
i need help with 32
Answer: See the drawing below
Explanation:
The region to the left of x = -3 has f(x) > 0, aka f(x) is positive. This is due to the sign chart indicating this with a + sign. The same applies from the region between x = -3 and x = -2. The graph will show f(x) above the x axis for these two regions.
When -2 < x < 0, f(x) is now negative and below the x axis. It goes above the x axis for the interval 0 < x < 2. Then it dips back down below the x axis again once it passes x = 2.
The graph below visually summarizes everything talked about. Keep in mind that there are infinitely many ways to draw a graph like this. There's not enough info to pin down one exact answer.
Can someone help please
Answer:
0.3 miles per hour
Step-by-step explanation:
Speed is distance divided by time so your equation is 45 divided by 150. 45 divided by 60 plus 60 plus 30 = 150 45 divided by 150= 0.3
A group of ten people includes six men and four women. If five of these people are randomly selected to fill out a questionnaire, how many different samples of five people are possible?
A store manager is marking down cameras from $300 to $150. What percentage is the discount?
Write your answer using a percent sign (%).
Answer:
the discount is 50% the previous price
30 percent of a number is 48 what is 50 percent of the same number
0.3x = 48
So x is 48/0.3
Therefore, 0.5 times 48/0.3 is the answer
Write the slope of the line passing through the two points: (7,8) and (0,5)
Answer:
3/7
Step-by-step explanation:
slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{5-8}{0-7}[/tex] = -3/-7 = 3/7
Given ABCD, what is the measure of
Answer:
srry dude this isn't rly a quesiton
Can someone please help me?
A line has a rise of 3 and a run of 12. What is the slope?
4
1/4
1/3
Answer:
1/4
Step-by-step explanation:
Rise/run=3/12 divided by 3 = 1/4
The table shows the mass of a substance decreasing over a period of time during a chemical experiment.
Identify a quadratic model for the mass M, given the time t. Then use the model to predict the mass at t = 11
seconds
Time (s) Mass (g)
2
94.8
5
87.9
8
81.3
B
O M(x) = -0.02x2 - 2.42x + 99.57
M(11) - 75 g
O M(x) = 0.02x2 - 2.42x + 99.57
M(11) - 1299
O M(x) = -0.02x2 - 2.42X + 99.57
M(11) = 129 g
O M(x) = 0.02x2 - 2.42x + 99.57
M(11) = 75 g
So from a table, we want to find an equation that models the mass as a function of time, we will get the equation:
M(t) = 0.02*t^2 - 2.42*t + 99.57
And with that equation, we will find that the mass after 11 seconds is 75 grams.
From the table we have the points:
(2, 94.8)
(5, 87.9)
(8, 81.3)
And we know that this follows a quadratic model, then we have:
M(t) = a*t^2 + b*t + c
Notice that from the known points, we have 3 equations:
94.8 = a*2^2 + b*2 + c
87.9 = a*5^2 + b*5 + c
81.3 = a*8^2 + b*8 + c
So we have a system of equations, we can simplify the equations to get:
94.8 = a*4 + b*2 + c
87.9 = a*25 + b*5 + c
81.3 = a*64 + b*8 + c
To solve this, we start by isolating one of the variables in one of the equations, let's isolate c in the first one.
c = 94.8 - a*4 - b*2
now we replace this in the other two equations to get:
87.9 = a*25 + b*5 + (94.8 - a*4 - b*2)
81.3 = a*64 + b*8 + ( 94.8 - a*4 - b*2)
Now we simplify these two equations to get:
-6.9 = a*21 + b*3
-13.5 = a*60 + b*6
Now we do the same thing, I will isolate b in the first equation:
b = (-6.9 - a*21)/3 = -2.3 - a*7
Now we replace this in the other equation:
-13.5 = a*60 + (-2.3 - a*7)*6
Now we can just solve this for a:
-13.5 = a*(60 - 7*6) - 2.3*6
0.3 = a*18
0.3/18 = a = 0.016
Wich can be rounded to:
a = 0.02
Then the value of b is:
b = -2.3 - a*7 = -2.3 - 0.016*7 = -2.42
And the value of c is:
c = 94.8 - a*4 - b*2 = 94.8 - 0.016*4 - (-2.42)*2 = 99.57
So the equation is:
M(t) = 0.02*t^2 - 2.42*t + 99.57
Now we can evaluate this in t = 11s to get:
M(11) = 0.02*11^2 - 2.42*11 + 99.57 = 75.37
Wich can be rounded to 75 grams.
If you want to learn more, you can read:
https://brainly.com/question/20067450
find DEC
pls give through explanation
[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]
Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,
⇛ Angle AEB = Angle DEC
⇛ 9x + 8° = 3x + 42°
⇛ 9x - 3x = 42° - 8°
⇛ 6x = 34°
⇛ x = (34/6)°
To find: Angle DEC = 3(
34/6 °) + 42° = 59° (Ans)
Dina and masha started out on a 12 mi bike path at the same time. when dina reached the end of the 12 mi, masha still had 4 mi left to bike. if dina's biking speed is 10 mph, find masha's biking speed. HELP NOWWW
Answer:
Dina took 12/8 = 3/2 hrs
So, if Masha's speed was x
3/2 x = 12-3
x = 6 mi/hr
Answer:
Step-by-step explanation:
Dina finished in a time of
12 mi / 10 mi/hr = 1.2 hr
Masha's speed is (12 - 4 mi) / 1.2 hr = 6⅔ mph
solve the equation 6= A/2 + 2
Answer:
A = 8
Step-by-step explanation:
A/2 + 2 = 6
subtract 2 from each side to get:
A/2 = 4
multiply each side by 2 to get:
A = 8
Steve bicycles 3 mi to school everyday at 15 mph. If school starts at 8:30 am and he needs 15 min to lock his bike and get to his desk then what time should he leave his house
Answer:
8:03
Step-by-step explanation:
time=speedxdistance
t=1/15x3
t=3/15hr
t=.2hr
t=12 mins
plus 15 mins to lock up bike, 27 mins
27 mins before 8:30 is 8:03
pls mark branliest
Add the polynomials (-4x^3 + x^2y - xy^2), (3x^3 - xy^2 + 5x^2y) and (7xy^2 + 3y^3)
Answer:
4x³+x²
Step-by-step explanation:
to I was awesome and u too go to north and u too go home with he sister or talk
$120; Markup: 35%
What's the final price? pls show how u got the answer...
Answer: 162
Step-by-step explanation:
So you will need to find the Markup. The original cost is $120.
Divide the number by 100 is 1.2. $1.2 is 1% of the $120.Now times the number by 35. $1.2 x 35 is $42.Finally, add the number. 120 + 42 = 162.I hope this is the answer you are looking for.
write the solution in interval notation: 1/4x−3≥−1 and −3(x−2)≥2
Answer:Mark me as Brainliest please
Step-by-step explanation:
Let's solve your inequality step-by-step.
[tex]\frac{1}{4}x-3\geq -1[/tex]
Step 1: Add 3 to both sides.
[tex]\frac{1}{4} x-3+3\geq -1+3[/tex]
[tex]\frac{1}{4} x\geq 2[/tex]
Step 2: Multiply both sides by 4.
[tex]4*(\frac{1}{4} x)\geq (4)*(2)[/tex]
Answer:x≥8
Let's solve your inequality step-by-step.
−3(x−2)≥2
Step 1: Simplify both sides of the inequality.
−3x+6≥2
Step 2: Subtract 6 from both sides.
−3x+6−6≥2−6
−3x≥−4
Step 3: Divide both sides by -3.
[tex]\frac{-3x}{-3} \geq \frac{-4}{-3}[/tex]
Answer:=[tex]x\leq \frac{4}{3}[/tex]Choose the correct answers.
Jane Dilford gets a student rate of $30.00 a month for health Insurance. There is a $250 deductible, but no coinsurance
payment. She recently recelved treatment for a covered condition. The bill was $2,550.00 Jane's Insurance company
provided payment of 80% of the bill less the deductible.
What was the company's payment? $2,040 or $1,840
V
What was Jane's total cost (not including monthly premium)? $510 or 710
Answer:
1840 amd 710
Step-by-step explanation:
1.25 is closer to 1.04 or not ?
plz heelp
Answer:
Yes 1.25 is closer to 1.04
Step-by-step explanation:
Hope this helps!
Answer:
1.25 is not closer to 1.04 because it's like, 1 dollar and 4 cents; compared to 1 dollar and 25 cents. Obviously 25 cents is more than 4 cents.
1.25 rounded:
1.30
1.04 rounded:
1.00
What is the slope of the line on the graph? Enter your answer in the box.
100.000.000x30
Kaçtır?
Answer:
the answer is 3000000000
which prime number is found in between 70 and 80 and is made up of two odd digits which add up to 10
Answer:71
71, 73 and 79
Step-by-step explanation:
A prime number is a number that can only be divided by 1 or itself. Otherwise, it is a composite numbers.
There are three numbers between
70
and
80
that fit this criteria,
71
,
73
, and
79
Give an example of a function.
example:
Input 9 9 4 5 and output: 3 -3 2 -2
give examples plz
I will make the brainliest.
Can someone please help me thank you
36 is the answer, hope this helps.
Add.
45+3110
Enter the sum in the box as a mixed number in simplest form.
Answer:
3110+45=3155
Step-by-step explanation:
just add them to
A pound of fertilizer covers 39 square feet lawn.Vivian Bulgakov lawn measures 7072.7 square feet,How much fertilizer,to the nearest tenth of a pound does she need to buy?
Answer: 275835.5
because 7072.7 times 39
What are the slope and y-intercept of the line?
slope = -170. y-intercept = 1020
Step-by-step explanation:
Let [tex]P_1(0, 1020)[/tex] and [tex]P_2(6, 0).[/tex] The slope can be calculated as
[tex]m = \dfrac{0 - 1020}{6 - 0} = -170\:\text{m/hr}[/tex]
So the equation can be written as
[tex]y = -170x + b[/tex]
To solve for b, let's use the values for P2:
[tex]0 = -170(6) + b \Rightarrow b = 1020[/tex]
Therefore,
[tex]y = -170x + 1020[/tex]
To find the y-intercept, let x = 0. then the y-intercept is
[tex]y = -170(0) + 1020[/tex]
or
[tex](0, 1020).[/tex]
The fraction 1/16 can correctly be read as
Question 5 options:
one divided by sixteen.
sixteen divided by 1.
one sixth.
one and one sixth.
The given fraction [tex](\frac{1}{16} )[/tex] can correctly be read as one divided by sixteen.
A fraction can be defined as a numerical quantity that isn't a whole number and as such has two (2) parts.
Hence, a fraction is simply a part of a whole number.
Generally, a fraction comprises two (2) main parts and these include:
Denominator: this refers to the lower part of a fraction.Numerator: this is the upper part of a fraction.Mathematically, a fraction is represented as:
[tex]Fraction \;A = \frac{1}{16}[/tex]In order to read a fraction, you will start by naming the numerator (upper part) followed by the denominator (lower part).
In this scenario, the given fraction [tex](\frac{1}{16} )[/tex] can correctly be read as one divided by sixteen.
Read more: https://brainly.com/question/6201432
Please help me ASAP
Answer:
New points:
N: (4,-5)
X: (2,-3)
B: (-1,-4)
Step-by-step explanation:
Rotate about the origin (0,0) counter clockwise 90 degrees
