Answer:
The total interest paid by Nell in 20 years is $3,724.80
C is correct
Step-by-step explanation:
Nell took out a subsidized student loan of $6000 at a 4.8% APR, compounded monthly.
First we find total amount in 10 months
[tex]A=6000(1+\frac{0.048}{12})^{10}[/tex]
[tex]A=6244.37[/tex]
Now, He has to pay loan off on 6244.37 for 20 years at 4.8% APR
Loan Formula:
[tex]P=\dfrac{PV\cdot r}{1-(1+r)^{-n}}[/tex]
PV=6244.37
r=0.048/12
n=240
[tex]P=\dfrac{6244.37\times \frac{0.048}{12}}{1-(1+\frac{0.048}{12})^{-240}}[/tex]
[tex]P=40.52[/tex]
Total pay in 20 years = 40.52 x 20 = 9724.80
Total amount took loan = $6000
Interest = 9724.80 - 6000
= $3,724.80
Hence, The total interest paid by Nell in 20 years is $3,724.80
Answer: $3345.60
Step-by-step explanation:
Apex - Took one for the team on the quiz because I forgot to check the rating on the other answer </3
Sqrt2y-5+8=4 what Is the root
Answer:
The root of [tex]\sqrt{2y-5} +8 = 4[/tex] is 10.5.
Step-by-step explanation:
Given that,
[tex]\sqrt{2y-5} +8 = 4[/tex]
As we have a square root term along with a single term on left side. We will move the single term on right side.
[tex]\sqrt{2y-5} = 4-8[/tex]
[tex]\sqrt{2y-5} = -4[/tex]
Taking the square on both sides, we get
[tex](\sqrt{2y-5})^2 = (-4)^2[/tex]
Square will cancel the impact of square root, therefore:
[tex]({2y-5}) = 16[/tex]
[tex]2y = 16+5[/tex]
[tex]2y = 21[/tex]
[tex]y = \frac{21}{2}[/tex]
[tex]y = 10.5[/tex]
Therefore, the root of [tex]\sqrt{2y-5} +8 = 4[/tex] is 10.5.
q=p/r+s make p the subject
Answer:
see explanation
Step-by-step explanation:
Given
q = [tex]\frac{p}{r}[/tex] + s ( subtract s from both sides )
q - s = [tex]\frac{p}{r}[/tex]
Multiply both sides by r
r(q - s) = p
If m<1= 10x + 4 and m<2 =5x-4 find m<2
Answer:
m∠2 = 56°
Step-by-step explanation:
Given;
m∠1 = 10x + 4 and m∠2 = 5x - 4
Angles 1 and 2 are supplementary angles meaning that they add up to 180°
i.e,
(10x + 4) + (5x - 4) = 180°
10x + 5x + 4 - 4 = 180°
15x = 180°
x = 180/15 = 12
m∠2 = 5(12)° - 4° = 60° - 4° = 56°
what is the value of t(-4) when f(x)= -x-2
Answer:
f(-4) = 2Step-by-step explanation:
Put x = -4 to f(x) = -x - 2:
f(-4) = -(-4) - 2 = 4 - 2 = 2
If the area of a circle measures 9π cm2, what is the circumference of the circle in terms of π?
A) 3π cm
B) 6π cm
C)
9/4
π cm
D)
9/2
π cm
Answer: option B
Step-by-step explanation:
The circumference of a circle can be calculated with this formula:
[tex]C=2\pi r[/tex]
Where "C" is the circumference of the circle and "r" is the radius of the circle.
The area of a circle can be calculated with:
[tex]A=\pi r^2[/tex]
Where "r" is the radius.
Knowing the area, you can solve for the radius:
[tex]r^2=\frac{9\pi cm^2}{\pi }\\\\r=\sqrt{\frac{9\pi cm^2}{\pi } }\\\\r=3cm[/tex]
Substituting into [tex]C=2\pi r[/tex], you get that the circumference of this circle is:
[tex]C=2\pi (3cm)=6\pi\ cm[/tex]
Answer:
B
Step-by-step explanation:
The area (A) of a circle = πr² ← r is the radius
here A = 9π, hence
πr² = 9π ( divide both sides by π )
r² = [tex]\frac{9\pi }{\pi }[/tex] = 9
r = [tex]\sqrt{9}[/tex] = 3
The circumference (C) of a circle is C = 2πr, hence
C = 2π × 3 = 6π → B
You want to pick a four-player tennis team. There are eight players to choose from. How many
different teams can you form?
Answer:
70
Step-by-step explanation:
From 8, we want to choose 4. So:
₈C₄ = 8! / (4! (8-4)!)
₈C₄ = 8! / (4! 4!)
₈C₄ = (8×7×6×5×4×3×2×1) / (4×3×2×1 × 4×3×2×1)
₈C₄ = (8×7×6×5) / (4×3×2×1)
₈C₄ = 70
There are 70 different teams you can form.
Which of the following correctly shows the first step when factoring 5a^2b-5a^2c-5db+5dc by grouping?
1) 5a^2 (b-c)-5d(b-c)
2) 5a^2 (b+c) +5d(b+c)
3) 5a^2 (b+c) -5d(b+c)
4)5a^2 (b-c) +5d(b-c)
Answer:
Correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].
Step-by-step explanation:
Given expression is : [tex]5a^2b-5a^2c-5db+5dc[/tex]
Now we need to factor it by completing square to match the correct choice.
[tex]5a^2b-5a^2c-5db+5dc[/tex]
Make two groups having first two terms and last two terms then find GCF of each.
[tex]=5a^2(b-c)-5d(b-c)[/tex]
Hence correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].
hailey had 4 3/8 cup of cherries she used 5/8 of the cherries to bake muffins how many cups of cherries did she use
Answer:
2 31/32 cups used
Step-by-step explanation:
We have 4 3/8 cups cherries
Change this to an improper fraction
4 3/8 = (8*4+3)/8 = 38/8
We use 5/8 of the cherries
38/8 *5/8
190/64
Change this back to a mixed number
64 goes into 190 2 times
190 - 128 =62 left over
2 62/64
2 31/32 cups used
An office girl buys 12cent and 8cent stamps. It she spends
$9.00 and buys 100 stamps, how many of each sort did
she buy? (Let the number of 12cent stamps be x. Using x write down how many 8¢ stamps there were. Now make
an equation and find x).
Answer:
x=25
Step-by-step explanation:
x+y=100 (y being number of 8¢ stamps)
12x+ 8y = 900
-----------------------------------
y = 100-x
12x + 8y = 900
----------------------------------------
12x + 8(100-x) = 900
12x + 800 - 8x = 900
12x - 8x = 900 - 800
4x = 100
x=25
The graph shows the population of deer for the past 5 years. what is the approximate difference in the growth rate of the two populations?
WILL GIVE BRAINLIEST
Answer:
The approximate difference in the growth rate of the two populations is 40%.
Step-by-step explanation:
The general exponential growth model is
[tex]y=a(1+r)^t[/tex]
Where, a is initial value, r is growth rate and t is time.
In the given graph, red curve passing through the points (2,22.5) and (3,33.75).
[tex]22.5=a(1+r)^2[/tex] .... (1)
[tex]33.75=a(1+r)^3[/tex] .... (2)
Divide the equation (2) by equation (1).
[tex]1.5=1+r[/tex]
[tex]0.5=r[/tex]
The graph rate of red curve is 50%.
In the given graph, purple curve passing through the points (7,19.4) and (8,21.4).
[tex]19.4=a(1+r)^7[/tex] .... (3)
[tex]21.4=a(1+r)^8[/tex] .... (4)
Divide the equation (4) by equation (3).
[tex]1.1031=1+r[/tex]
[tex]0.1031=r[/tex]
[tex]0.1\approx r[/tex]
The graph rate of red curve is 10%.
The approximate difference in the growth rate of the two populations is
[tex]50-10=40\%[/tex]
Therefore the approximate difference in the growth rate of the two populations is 40%.
graph of which exponential function passes through the points (0,4) and (1,24)?
Answer:
see explanation
Step-by-step explanation:
The exponential function is of the form
y = a [tex]b^{x}[/tex]
Substitute the given points into the equation to find a and b
Using (0, 4), then
4 = a[tex]b^{0}[/tex] ⇒ a = 4
Using (1, 24), then
24 = 4 [tex]b^{1}[/tex] ⇒ b = 6
Exponential function is
y = 4 × [tex]6^{x}[/tex]
The equation of the exponential function that passes through the points (0,4) and (1,24) is y = 4(6)^x.
Explanation:To find the equation of the exponential function that passes through the points (0,4) and (1,24), we can use the general form of an exponential function: y = ab^x, where a is the initial value and b is the growth/decay factor.
Using the point (0,4), we plug in x=0 and y=4 to get the equation 4 = ab^0, which simplifies to a = 4.
Using the point (1,24), we plug in x=1, y=24, and a=4 to get the equation 24 = 4b^1, which simplifies to b = 6.
Therefore, the equation of the exponential function is y = 4(6)^x.
Learn more about exponential function here:https://brainly.com/question/37289664
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Which lists all of the y-intercepts of the continuous function in the table?
A (0,0)
B (-1,0), (2,0)
C (-1,0), (0, 0)
D (-1,0), (0, 0), (2,0)
Answer:
A (0,0)
Step-by-step explanation:
When a function intersects the y-axis then the point of intersection is called y-intercept of the function,
Also, for y-intercept x = 0.
That is, if f(x) is the function then its y-intercept is (0, f(0) )
By the given table for x = 0, f(x) = 0
Hence, the y-intercept of the given function is (0,0),
Option A is correct.
Answer:
A trust
Step-by-step explanation:
What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?
Answer: B.) f(x) => -∞ as x => -∞; f(x) => +∞ as x => +∞
The graph touches, but does not cross, the x–axis at x =__
The graph of the function crosses the x–axis at x = ___
Answer:
Step-by-step explanation:
f(x) = x⁵ – 8x⁴ + 16x³
As x approaches +∞, the highest term, x⁵, approaches +∞.
As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).
Now let's factor:
f(x) = x³ (x² – 8x + 16)
f(x) = x³ (x – 4)²
f(x) has roots at x=0 and x=4. x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.
The graph crosses the x-axis at x=0.
Answer:
Part 1. B
Part 2. 4, 0
Step-by-step explanation: Edge 2023
For example of 100 students the median is 90
Answer:
How is that possible
Step-by-step explanation:
So..... what is the question ?
Jane has saved 600 dollars in a college fund. She added money to the account over the next year and at the end of the year the account had 890 dollars. Write an equation to represent the amount she saved over the year. WILL GIVE BRAINLIEST FOR ALL ANSWERS TONIGHT!!!!!
Answer:
$290.00
Step-by-step explanation:
The equation would be 890-600=290 because if you subtract the base amount from the final savings it would give you how much she saved altogether.
Hope this helps! :)
A clock face has a diameter of 10 inches. What is the area of the clock face?
Answer:
A = 78.5 in ^2
Step-by-step explanation:
Area of a circle = pi * r^2
The radius is d/2
r= 10/2
r =5
A = pi * r^2
Substitute r=5
A = pi *(5)^2
A = 25 pi
We know that pi is approximated by 3.14
A = 25 (3.14)
A = 78.5 in ^2
HELP *EASY* What is the area of a trapezoid if the bottom of the trapezoid is 12cm, the top of the trapezoid is 9cm, and the height of the trapezoid is 3.5cm?
Answer:
A = 36.75 cm^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) *h
where b1 and b2 are the bases and h is the height
A = 1/2 (12+9) *3.5
A = 1/2(21)*3.5
A = 36.75 cm^2
What is five x squared plus x minus two x squared minus x
Answer:
4x² - 2x
Step-by-step explanation:
5x² + x - 2x - x² - x
can be simplified: 5x² - x² - 2x + x - x = 4x² - 2x
Answer:
3x^2
Step-by-step explanation:
five x squared
5x^2
plus x
+x
minus two x squared
-2x^2
minus x
-x
All together
5x^2 +x-2x^2 -x
Combine like terms
5x^2-2x^2 +x-x
3x^2
Which of following is the graph of y = -(x + 1)2 -3?
Answer:
See below.
Step-by-step explanation:
The graph of the quadratic equation is a parabola or u shaped graph. It has a vertex at (-1,-3) since h=-1 and k=-3 in the vertex form. It is also facing down since the leading coefficient is negative.
The graph of the equation y = -(x + 1)2 -3 is a downward opening parabola with the vertex at (-1, -3).
Explanation:The graph of the equation y = -(x + 1)2 -3 is a downward opening parabola. The coefficient in front of the quadratic term, in this case, -1, determines the direction of the opening. If the coefficient is negative, the parabola opens downward.
Additionally, the vertex of the parabola is (-1, -3) since the equation is in vertex form. The vertex is the highest or lowest point on the graph. Therefore, the graph of the equation y = -(x + 1)2 -3 will be a downward opening parabola with the vertex at (-1, -3).
write down the formula for each: please help me
Answer:
D=2R R=D/2 Circumference = 2πR Area: πR^2
Step-by-step explanation:
Find the segment length indicated. Assume that lines which appear to be tangent are tangent.
Answer:
Part 1) The segment length indicated is [tex]6.4\ units[/tex]
Part 2) The segment length indicated is [tex]19\ units[/tex]
Step-by-step explanation:
Let
x------> the segment length indicated
Part 1)
Applying the Pythagoras Theorem
[tex](13+x)^{2}=13^{2}+14.4^{2}\\ \\ (169+26x+x^{2})=169+207.36\\ \\x^{2}+26x-207.36=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=6.4\ units[/tex]
see the attached figure N 1
Part 2)
Applying the Pythagoras Theorem
[tex]x^{2} =11.4^{2}+(7.6+7.6)^{2}\\ \\ x^{2}=129.96+231.04\\ \\x^{2}=361\\ \\x=19\ units[/tex]
9a^2+1/9a2-2-12a+4/3a
hope it helps you!!!!!!!!!!!
The perimeter of rectangle abcd is 28 and the area is 45.what is the new perimeter and area after the rectangle has been dilated by a scale factor of 4?
Answer is
New perimeter = 112
See photo
After plotting he data where x=area, and f(x)=the length of one side of the square, Sam determined the appropriate model to approximate the side of a square was f(x)= √x-1+1 . Use the model Sam created to predict the side length of the square when the area is 26.
Answer:
6
Step-by-step explanation:
Given data:
x=area
f(x)=the length of one side of the square
Also the model of f(x)= [tex]\sqrt{x-1} +1[/tex]
Now determining length of one side of the square f(x), when Area x of square is 26:
Putting the value x=26 in given equation of f(x)
f(x)= [tex]\sqrt{26-1} +1[/tex]
= [tex]\sqrt{25} +1[/tex]
= 5 +1
= 6
Hence length of one side of the square f(x) is 6, when Area x of square is 26 !
Answer with explanation:
x= Area
f(x)= The length of one side of the square
Model Determined by Sam to approximate the side of a square is
[tex]f(x)=\sqrt{x-1} +1[/tex]
It is given that , Area(x) = 26 Square Unit
Substituting the value of , x in above equation
[tex]f(x)=\sqrt{26-1} +1\\\\f(x)=\sqrt{25} +1\\\\f(x)=5+1\\\\f(x)=6[/tex]
So, Side length of Square According to model created by Sam = 6 unit
Which of these is 3% equivalent to?
the answer would be 0.03%
The number that is equivalent of 3% is 0.03
How to determine the equivalent of 3%From the question, we have the following parameters that can be used in our computation:
Number = 3%
Express the percentage as division
So, we have
Number = 3/100
When the division is evaluated, we have the following
Number = 0.03
Hence, the equivalent of 3% is 0.03
Read more about expressions at
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What sine function represents an amplitude of 1, a period of 2pi, a horizontal shift of our, and a vertical shift of -4
ANSWER
[tex]g(x) = \sin(x +4) - 4[/tex]
EXPLANATION
The basic sine function is
[tex]f(x) = \sin(x) [/tex]
The transformed sine function has equation
[tex]g(x) = a \sin(bx +c ) + d[/tex]
where a=1 is the amplitude
2π/b=2π is the period
c/b= 4 is the horizontal shift 4 units left.
d=-4 is a downward vertical shift of 4 units.
The required sine function is:
[tex]g(x) = \sin(x +4) - 4[/tex]
PLEASE HELP RIGHT AWAY
Still second graph from top down is the good one
What is the linear function equation that best fits the data set?
yˆ=2x−2
yˆ=x−2
yˆ=4x−2
yˆ=4x−11
The best-fit line for a data set is found using the least-squares regression method, which identifies the linear equation that minimizes the residual errors. The equation is in the form y = mx + b, where m is the slope, and b is the y-intercept.
The question seeks to determine the linear function equation that best fits a given data set. To find the best-fit line, also known as the least-squares regression line, we typically analyze data points and use statistical methods to determine the equation that minimizes the sum of the squares of the residuals (the differences between the observed values and the values predicted by the model). The given options suggest that we are looking for a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.
The equation of the best-fit line provided in the reference material, ý = -173.51 + 4.83x, indicates the method to determine both the slope (4.83) and the y-intercept (-173.51). This can be compared with the provided options to identify which one has a slope (or multiplier for x) closest to 4.83 and y-intercept closest to -173.51. In practice, students would use numerical and conceptual methods rather than graphing to interpret the data in multi-dimensional space when there are more than two variables involved.
Please help me I don’t quite get it..
Answer:
Step-by-step explanation:
the lawn above is 40 x 60= 2400 ft^2
one bag of seed that costs $2.50 and it covers 1200 ft^2
if your lawn is 2400 ft^2 you divide it by the 1200 ft^2
2400 ft^2 / 1200 ft^2 = 2
so if 1 bag covers 1200 ft^2 then you will need 2 bags to cover 2400 ft^2.
at $2.50 a bag your answer will be, B.
Answer is B
Area = area of rectangle + area of that small areched shape
Area is little bit more than (60*40)=2400
Which is covered by 2 bags (2400/1200) =2
Cost of 2 bags is 2.5*2=5
So..you have to choose what is more than 5 with little amout..which is 5.51
How many seconds there are per second
There is approximately 1 second per second
You’re welcome
Approximately one
Per one