Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)
Answer:
Step-by-step explanation:
Please help me nobody will help me with this please
Answer:
[tex]24[/tex]
Step-by-step explanation:
Each bottle of water costs $2 so we multipy 12 by 2.
[tex]12[/tex]×[tex]2=24[/tex]
Nathaniel invested $37,000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $70,900?
Answer:
11
Step-by-step explanation:
\text{Compounded Daily:}
Compounded Daily:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365
A=70900P=37000r=0.057n=365
Given values
70900=
70900=
\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}
37000(1+
365
0.057
)
365t
Plug in values
70900=
70900=
\,\,37000(1.0001562)^{365t}
37000(1.0001562)
365t
Simplify
\frac{70900}{37000}=
37000
70900
=
\,\,\frac{37000(1.0001562)^{365t}}{37000}
37000
37000(1.0001562)
365t
Divide by 37000
1.9162162=
1.9162162=
\,\,1.0001562^{365t}
1.0001562
365t
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)
log(1.0001562
365t
)
Take the log of both sides
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\color{blue}{365t}\log\left(1.0001562\right)
365tlog(1.0001562)
Bring exponent to the front
\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=
log(1.0001562)
log(1.9162162)
=
\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}
log(1.0001562)
365tlog(1.0001562)
Divide both sides by log(1.0001562)
4164.8632402=
4164.8632402=
\,\,365t
365t
Use calculator
\frac{4164.8632402}{365}=
365
4164.8632402
=
\,\,\frac{365t}{365}
365
365t
Divide by 365
11.4105842=
11.4105842=
\,\,t
t
t\approx
t≈
\,\,11
11
Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, the parameters are given as follows:
[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]
We have to solve for t, then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]
[tex](1.00015616)^{365t} = 1.91621622[/tex]
[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]
[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]
[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]
t = 11.41
Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.
More can be learned about compound interest at https://brainly.com/question/25781328
#SPJ2
30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.
Step 1: Use slope formula* to determine slope (or m) using both points given.
[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]
Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.
[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]
Step 3: Now we can set up an equation of this line in slope-intercept form.
[tex]y = 2x + 5[/tex]
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept formula: y = mx + b
Answer:
The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.
Step-by-step explanation:
What is the equation of the line in the graph?
Answer:
Step-by-step explanation:
Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
pls help thanks you :)
Answer:
1) x=3
2) x=2
3) x=3
4) x=8
The computer was regularly priced at $1500. If you order the computer over the Internet, you can save money as the price is only $1200.What percent discount (change) are you getting?
What single transformation maps ∆ABC onto ∆A'B'C'?
Answer:
A rotation 90 degrees clockwise
Step-by-step explanation:
Equations and Inequalities One-Pager
A = p + prt solve for t
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
What is greater 11/12 or 2 1/3
Answer:
2 1/3
Step-by-step explanation:
Angie uses the equation E=0.03s + 25,000 to find her yearly earning E based on her total sales s. What is the independent variable
Answer:
25000
Step-by-step explanation:
it's independent because it's not related with her total sales s
Hey, um i need help really bad i will give a brainlist Thx!!
Answer: I believe that you highlight "An amazing dancer, Lisa Simpson"
sorry if I'm
wrong....
help me pleaseeeeeee
Step-by-step explanation:
Similar triangles
[tex] \frac{6}{uv } = \frac{8}{3} [/tex]
uv=18/8
uv= 2.25
A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?
Answer:
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Step-by-step explanation:
System of Equations
Let's call
x = pounds of trail mix 5% raisins
y = pounds of trail mix 20% raisins
The distributor wants to make 1,000 pounds of trail mix, thus:
x + y = 1,000 [1]
The mix must be 8% raisings as a combination of x and y, thus:
5x + 20y = 8*1,000 = 8,000
Dividing by 5:
x + 4y = 1,600 [2]
Subtracting [2] and [1]:
4y - y = 1,600 - 1,000
Operating:
3y = 600
y = 200
From [1]
x = 1,000 - y = 1,000 - 200
x = 800
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Answer:
5% raisin mix: 800 lbs
20% raisin mix: 200 lbs
Step-by-step explanation:
Let number of 5% be x; and number of 20% be a.
x + y = 1000
5% · x + 20% · y = 8% of 1000 pounds
0.05x + 0.2y = 80
x = 1000 - y
0.05(1000 - y) + 0.2y = 80
50 - 0.05y + 0.2y = 80
0.15y = 30
y = 200
x = 1000 - y
x = 1000 - 200
x = 800
5 and 4/5 as an improper fraction!
ANSWER ASAP! * 10 points *
Answer:
29/5
Step-by-step explanation:
5 4/5=(25+4)/5
29/5
Hope I helped! Please mark Brainliest!!!
Answer: The answer is [tex]\frac{29}{5}.[/tex]
Step-by-step explanation: Here are the 3 steps in order to convert the mixed number fraction to an improper fraction:
Step 1. First, let's multiply the denominator by the whole fraction that looks like this: [tex]5*5=25.[/tex]
Step 2. Then, we add the answer with the numerator from step 1 that looks like this: [tex]25+4=29.[/tex]
Step 3. Finally, we write the answer from step 2 over the denominator that looks in the improper fraction like this: [tex]\frac{29}{5}.[/tex]
Conclusion Step-By-Step Explanation:
Here's the conclusion for how to convert the mixed number fraction into an improper fraction given the equation [tex]\frac{29}{5},[/tex] that looks like this in the simplified solution: [tex]\frac{5*5+4}{5}=\frac{29}{5}.[/tex]
I hope that my full answer with the full step-by-step explanation is very helpful to your question about how to convert the mixed number fraction into an improper fraction and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
please fill in the blanks i need this
Answer:
110
242
Step-by-step explanation:
To get the amount for Number of ships 5. you do 5*22.
Same for the the #11. you do 11*22.
Also, Pick me as the smartest please.Find the ratios x:y:z if x:y=9:10 and y:z=5:3
Answer:
Step-by-step explanation:
Answer:
x : y : z = 9 : 10 : 6
Step-by-step explanation:
Expressing the ratio y : z = 5 : 3 in fractional form, that is
[tex]\frac{y}{z}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
5z = 3y ( divide both sides by 5 )
z = [tex]\frac{3}{5}[/tex] y = [tex]\frac{3}{5}[/tex] × 10 = 3 × 2 = 6
Thus
x : y : z = 9 : 10 : 6
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
Solve for the missing angle measures
Answer:
Set 1 angles a and c are 62
Set 2 angles b and d are 120
Step-by-step explanation:
angle a = angle c = 62
angle b = angle d = 120
Which graph is the solution to the inequality below?
Answer:
it the third answer
Step-by-step explanation:
3(x-5)< 5x+7
x>-11HELP ME FOR BRANLIEST
Answer: i dont know the answer but can i please have brainliest, i wanna know what it looks like and what it does
Step-by-step explanation:
True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?
Answer:
true
Step-by-step explanation:
The graph shows the volume of water in a sink, x minutes after the faucet is turned on.
Answer:
Conner is correct.
Step-by-step explanation:
Answer:
Connor is correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is equal to 2 gallons per minute.
Step-by-step explanation:
PLEASEEE HELP ME ANWSER THISSS ♥️♥️♥️♥️
The quotient of a number and (-3) is (-80) Find the number.
Answer:
240
Step-by-step explanation:
Which shows the equation below written in the from ax^2 + bx + c = 0? x + 9 = 2(x - 1) ^2
Answer:
i may be wrong but i thinks its A
Step-by-step explanation:
what is 100 times 7 plus 23
100 times 7= 700 any number times 100 you would add two zeros, 700+23=723
Hope this helps :]
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2