The initial amount is the first number = 1500
Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%
Replace t with 5 and solve
1500(1.074) ^5 = $2143.45
Answer:
The growth rate is 7.4% and the initial amount is 1500. The answer when t=5 is 2143.45.
Step-by-step explanation:
Assuming this is actually supposed to be written as 1500*(1.074)^t, then this equation follows the standard growth form y = A(1+r)^t where A represents the initial amount, r represents the rate as a decimal, and t represents time. This means that 1500 (A) would be the initial amount, and if you subtract 1 from what's inside the paratheses, you will get the r rate as a decimal. To get this as a percent, simply multiply it by 100, so you will get 7.4% as your growth rate.
To find what the answer would be when t = 5, just plug in 5 for the value of t in the equation.
f(5) = 1500*(1.074^5)
f(5) = 1500*(1.42896)
f(5) = 2143.45
HOW DO I FIND QR
PLEASE HELP
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $20 each week. Sylvia decides to put in an additional 20% of the amount in the account each week. Complete the sentence to answer the question.
Answer:
440$
Step-by-step explanation:
The radius of a cirdle is (x+ 4)cm. Find the area of the circle in
terms of the variable x Leave the answer in term of π
Answer:
50.24 cm
Step-by-step explanation:
50.24 cm
2
Explanation:
Using the formula,
Area
=
π
×
r
2
Here
π
is a button on your calculator you can find, but is also generally known as
3.14
, you can use either one, but teachers usually prefer you use the
π
button.
r
=
the radius, in your case, it's
4 cm
So
Area
=
π
×
r
2
=
π
×
(
4 cm
)
2
=
16
π
cm
2
≈
50.24 cm
2
=
A student earns $11 per hour for tutoring and $9 per hour as a teacher's aid. Let x = the number of hours each week spent tutoring and y = the number of hours each
week spent as a teacher's aid.
Complete parts (a) through (e)
a. Write the objective function that describes total weekly earnings
Answer:
Total weekly earning = 11x + 9y
Step-by-step explanation:
(a) 11x + 9y = Total weekly earning
The required objective function is 11x + 9y which describes the total weekly earnings.
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
We have been given that a tutor makes $11 per hour while a teacher's aide receives $9 per hour.
Let's assume that x represents the number of hours each week spent tutoring and
y represents the number of hours each week spent as a teacher's aide.
According to the given information, we can write the linear function would be as:
⇒ 11x + 9y
Therefore, the required objective function is 11x + 9y which describes the total weekly earnings.
Learn more about the Linear functions here:
https://brainly.com/question/13738061
#SPJ2
Write the equation of the line that passes through the point (-3, 6) and is parallel to the line
whose equation is y=1/2x+5?
Please help me
Answer:
[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]
Answer:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the x-axis).Parallel lines always have the same slope (m)1) Determine the slope (m)
[tex]y=\displaystyle\frac{1}{2} x+5[/tex]
From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle\frac{1}{2}x+b[/tex]
We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:
[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]
I hope this helps!
Somebody help me with these worksheets pls
(Please answer properly)
This is an interesting problem.
But first, let us define what are the three possible cases :
A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.
Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.
Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7
where a = 1 and b = - 7.
Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.
When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line.Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.
When this is the case, the graphs of the lines in the system cross at exactly one point.Inconsistent : A system of equation is Inconsistent if it haas no solutions.
When this is the case, the graphs of the lines in the system do not intersect, meaning they are parallel.Now, with those definitions above, we can work on our problem :
1. x + y = - 7 and x + y = - 4
Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent
2. Same line : consistent dependent
3. Parallel Lines : Inconsistent
4. Lines cross at exactly one point :Consistent Independent
5. Lines cross at exactly one point : Consistent Independent.
You can see the graph of each systems in the pictures attached below.
Good luck, you will succeed :)
Fireman Bob leans a 40 foot ladder against a building at an angle of elevation of 70'. How far is the base of the ladder from the building (round your
answer to the nearest thousandth)?
Distance from base of the building
Answer:
Step-by-step explanation:
40cos70 = 13.68080573... 13.681 ft.
Please help with math
Answer:
3.84m
Step-by-step explanation:
32*12=384
384/100=3.84
Answer:
384. hope this helps you out
Explain: 32•12=384, but for got to divide it so it equal 3.84
can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.
Answer:
y = -4x + 28
Step-by-step explanation:
yeah-ya........ right?
Step-by-step explanation:
what is the standard form for your teacher ?
because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).
there are 2 main forms :
the general slope intercept form is
y = ax + b
a is the slope. and is here -4.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the half finished equation :
4 = -4×6 + b = -24 + b
28 = b
so, the equation is
y = -4x + 28
the general slope point form is
y - y1 = a(x - x1)
where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.
so, we have
y - 4 = -4(x - 6)
The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 870 years?
grams
Answer:
A(t) = amount remaining in t years
= A0ekt, where A0 is the initial amount and k is a constant to be determined.
Since A(1690) = (1/2)A0 and A0 = 80,
we have 40 = 80e1690k
1/2 = e1690k
ln(1/2) = 1690k
k = -0.0004
So, A(t) = 80e-0.0004t
Therefore, A(430) = 80e-0.0004(430)
= 80e-0.172
≈ 67.4 g
Step-by-step explanation:
hope it helpful for you ❤️
Need this ASAP please
a) x²+6x
b)5x²-x
c)12x²+15x
d)8x²-12xy
Answer: 3x10^2 mi
example:
Answer:
3000
Step-by-step explanation:
Answer:
300
Step-by-3step explanation:
Jeanne is twice as old as her brother Mark. If the sum of their ages is 24, how old is Jeanne?
Andrea has 1 hour to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Answer:
3/4 hour
Step-by-step explanation:
The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.
The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.
Andrea should plan on walking back for 3/4 hour.
Forty minutes of hot yoga and 10 minutes of jumping jacks burns 510 calories. Thirty minutes at hot yoga and 20 minutes of jumping jacks burns 470 calories. How many calories are burned per minute of yoga? How many calories are burned per minute of jumping jacks
Answer:
Step-by-step explanation:
ur answer I have the link
A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?
Answer:
[tex]\huge\boxed{y-4=8(x+6)}[/tex]
Step-by-step explanation:
The equation of a line in the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m-slope\\\\(x_1;\ y_1)-point[/tex]
We have:
[tex]m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4[/tex]
Substitute:
[tex]y-4=8(x-(-6))\\\\y-4=8(x+6)[/tex]
SOMEONE please help me!!!!!!!!!!!
Answer:
First is death valley it goes on the bottom, next is New Orleans its after death valley, Next is Washington it goes in the middle, next is Dublin its after Washington, Lastly is Paris it goes on the top
Step-by-step explanation:
Please help me find my gpa I don’t know how
I have a C, A, B the rest are f
Answer:
Your GPA would be 1.5 If you have 6 periods.
Step-by-step explanation:
A = 4 GPA Points
B = 3 GPA points
C = 2 GPA Points
D = 1 GPA Points
F = 0 GPA Points
With that knowledge you calculate 2 (C) + 4 (A) + 3 (B) + 0 (F) + 0 (F) + 0 (F) assuming you have 6 periods which adds up to 9. You divide by the number of periods (6) totaling to 1.5 GPA Points.
In a Parallelogram CARS , <C = 5x-20 and <A = 3x+20. Find the value of x ?
Given that
In a Parallelogram CARS ,∠C = (5x-20)°
∠A = (3x+20)°
angle C and angle A are adjacent angles
We know that
In a Parallelogram the adjacent angles are supplementary.
⇛∠C + ∠A = 180°
⇛ (5x-20)°+(3x+20)° = 180°
⇛5x°-20°+3x°+20° = 180°
⇛(5x°+3x°)+(20°-20°) = 180°
⇛8x°+0 = 180°
⇛8x° = 180°
⇛ x° = 180°/8
⇛ x° = 22.5°
Answer:-The value of x = 22.5°
also read similar questions: In parallelogram MATH, m= (3x+ 20) and t= (5x-4) find A
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find the value of x (5x+12) (3x+8) a 10 b 15 c 20 d 25
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Help please!!!!
Find the measure of the angle indicated
Answer:
x = 6
Step-by-step explanation:
Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.
Minus 11 from both sides, and we get -6 = -x, so x = 6
f(x) = x^3 + 3x^2
What would the graph look like?
Answer: the answer is in the attachment.
Answer:
Hope this helps :)
Step-by-step explanation:
9/x = 27/24 find the proportional relationship
Answer: The answer is 9/8 = 27/24
Pam makes 5 litters of apple juice she saves 0.5 litter of apple for dinner and puts the rest in bottles. If each bottle holds 0.75 liter how many apples of apple juice can pam fill?
Answer:
6
Step-by-step explanation:
5L - 0.5 = 4.5
Pam is putting 4.5L into bottles
4.5/0.75 = 6
0.75L = 1 bottle
x2
1.5L = 2 bottles
x3
4.5L = 6 bottles
gemomtry plz help 15 points
Answer:
DE = 5x-12 (base angles of isos triangle)
At Albemarle High School, 5/9 of the students are in band and 57% of the students are in chorus. Are more AHS students in band or chorus?
Let find percentage of 5/9
[tex]\\ \sf\longmapsto 5/9(100)[/tex]
[tex]\\ \sf\longmapsto 500/9[/tex]
[tex]\\ \sf\longmapsto 55.5\%[/tex]
More students are in chorus
Given
Percentage of students in Chorus.
Fraction of students in band
To find
Which has more students.
Let's start.
We need to find the Percentage of students in band.
[tex]\sf \longmapsto \: \dfrac{5}{9} \times 100[/tex]
[tex]\sf \longmapsto \: \dfrac{5}{9} \times \dfrac{100}{1} [/tex]
[tex]\sf \longmapsto \: \dfrac{5 \times 100}{9 \times 1} [/tex]
[tex]\sf \longmapsto \: \dfrac{500}{9} [/tex]
In Percentage:-
[tex]\sf \longmapsto \: \cancel \dfrac{500}{9} [/tex]
[tex]\sf \longmapsto \: 55.55\%[/tex]
[tex]\sf{55.55\% (Band)}<\sf{57\%(Chorus)}[/tex]
Chorus has more studentsWhat is the probability of selecting a red jack from a deck of cards?
Answer:
There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.
Step-by-step explanation:
a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours
Answer:
82.5 miles in 1 1/2 hours
Step-by-step explanation:
Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.
55 miles = one hour
2 hours = 110 miles
1 1/2 hours = 55 ÷ 2 = 27.5
55 + 27.5 = 82.5 miles
82.5 miles
Hope this helps
Help me please (I have to write something to send a question)
Answer:
yshannmm
Step-by-step explanation:
yes
An 18 foot long ramp is placed at a loading dock that is 5 feet above ground. How far is the bottom of the ramp from the dock?
Answer:
sqrt299
Step-by-step explanation:
Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :
a=5
b= ?
c=18
(Then we can move all of the numbers together but what you do to one side you must do to the other)
Therefore,
(Now to make b a single variable we must square root both sides)
Therefore,
Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue
Where and
(approximately)
43 is 18% of what number?
Answer:
238.888888889
Step-by-step explanation:
Divide 43 by 18, then multiply by 100