Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%
HELP!! I don’t know part c or d and I need to know if part a and b are correct thanksss
Answer:
d=67257
c=93
Step-by-step explanation:
Find the solution of the differential equation that satisfies the given initial condition.
dy/dx = x/y, y(0) = −3
Answer:
y=-sqrt(x^2+9)
Step-by-step explanation:
This problem can be solved with the help of separating the variables.
dy/dx=x/y
Multiply both sides by y
y dy/dx=x
Multiply both sides by dx
y dy=x dx
Integrate
y^2/2=x^2/2+c
Let's find c using the condition y(0)=-3.
(-3)^2/2=(0)^2/2+c
9/2=0+c
9/2=c.
The equation is y^2/2=x^2/2+9/2.
Let's make this a bit prettier multiplying both sides by 2:
y^2=x^2+9
Taking square root of both sides gives:
y=+/- sqrt(x^2+9)
Since we want y(0)=-3, then we will choose
y=-sqrt(x^2+9).
Convert: (a) 250 liters to kiloliters, (b) 4.5 liters to milliliters.
Answer:
a) 0.25 kl
b) 4500 ml
Step-by-step explanation:
a)
1 kiloliter = 1000 liters
x kiloliters = 250 liters
[tex]x = \frac{250}{1000} = 0.25 \ kiloliters[/tex]
b)
1 liter = 1000 milliliters
4.5 liters = x
[tex]x = 4.5 \times 1000 = 4500 \ milliliters[/tex]
Which is the simplified form of m-8pº?
Answer:
m-8
Step-by-step explanation:
p⁰ = 1
A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of n = 120 college students is selected and each student is given all three phones to use for one week. At the end of the week, the students must identify which of the three designs they prefer. The distribution of preference is as follows:
Design 1 Design 2 Design 3
54 38 28
Required:
Do the results indicate any significant preferences among the three designs?
Answer:
There is significant preference among the 3 designs
Step-by-step explanation:
Given :
Design 1 Design 2 Design 3
54 38 28
H0 : no significant preference among the 3 designs
H1 : The preference among the designs are different
To test, we use the Chisquare test for independence ;
χ² = (observed - Expected)² / Expected
The sample size, n = 120
Expected = 120 / number of designs = 120 / 3 = 40
(54-40)^2/ 40 + (38 - 40)² / 40 + (28 - 40)² / 40
= 4.9 + 0.1 + 3.6
= 8.6
The Chisquare critical value at 95% = 5.99
Since ;
|χ² critical| < χ² statistic ; we reject the null and conclude that there is significant preference among the 3 designs
Tích các nghiệm của phương trình Log(x-1)²=2 là
Answer:
-99
Step-by-step explanation:
Log(x-1)²=2
Log(x-1)²=Log(100)
(x-1)²=100
x-1=10 and x-1=-10
x₁=11 and x₂=-9
x₁ × x₂ = 11 × (-9) = -99
Find the Diameter of the circle, whose radius is 17 cm.
Answer:
34 cm
Step-by-step explanation:
The radius is half of the diameter, so 17 cm is half of 34 cm.
Diameter = 34 cm
The math score for ten of Mrs. Moore's students are shown below. How many students made a score of more than 69 but less than 90?
Answer:
8
Step-by-step explanation:
first, 70-79 have 3 students
then 80-89 have 5 students
mong moi nguoi giup do
If l=10 b=5 and h=2, find the values of 2(lb+bh+lh)
Answer:
160
Step-by-step explanation:
[tex]2((10)(5)+(5)(2)+(10)(2))\\2(50+10+20)\\2(80)\\160[/tex]
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{2(lb + bh + lh)}\\\\\large\textsf{= 2(10(5) + 5(2) + 10(2))}\\\\\large\textsf{10(5) = \boxed{\bf 50}}\\\\\large\textsf{= 2(50 + 5(2) + 10(2))}\\\\\large\textsf{5(2) = \boxed{\bf 10}}\\\\\large\textsf{= 2(50 + 10 + 10(2))}\\\\\large\textsf{50 + 10 = \boxed{\bf 60}}\\\\\large\textsf{= 2(60 + 10(2))}\\\\\large\textsf{10(2) = \boxed{\bf 20}}\\\\\large\textsf{= 2(60 + 20)}\\\\\large\textsf{60 + 20 = \boxed{\bf 80}}\\\\\large\textsf{= 2(80)}\\\\\large\textsf{= \boxed{\bf 160}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 160}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8% What percentage of students receive between a 70% and 94% enter the value of the percentage without the percent sign
Answer:
49.87
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%.
This means that [tex]\mu = 70, \sigma = 8[/tex]
What percentage of students receive between a 70% and 94%
The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 70. So
X = 94
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94 - 70}{8}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a p-value of 0.9987.
X = 70
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 70}{8}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5.
0.9987 - 0.5 = 0.4987.
0.4987*100% = 49.87%.
So the percentage is 49.87%, and the answer, without the percent sign, is 49.87.
Consider functions f, g, and h.
F(x) = 3x^3 + 9x^2 al- 12x g(x) = x - 1 h(x) = 3x2 + 12x
Which expression defines function h?
The relation between the functions f(x), g(x), and h(x) will be f(x)/g(x) is equal to h(x). Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The functions are given below.
f(x) = 3x³ + 9x² - 12x
g(x) = x - 1
h(x) = 3x² + 12x
The function f(x) can be written as
f(x) = 3x(x² + 3x - 4)
f(x) = 3x(x² + 4x - x - 4)
f(x) = 3x(x + 4)(x - 1)
f(x) = (x - 1)(3x² + 12)
Then divide the function f(x) by the function g(x), then we have
f(x) / g(x) = (x - 1)(3x² + 12) / (x - 1)
f(x) / g(x) = (3x² + 12)
f(x) / g(x) = h(x)
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Answer:
B
Step-by-step explanation:
edmentum
What are some easy ways to find the value of
(2017^4−2016^4)/(2017^2+2016^2) without calculator
Answer:
Step-by-step explanation:
[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]
[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]
[tex]= (2017^2 - 2016^2)[/tex]
[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]
Someone please help T.T I need help ASAP
Step-by-step explanation:
Given that,
The quadratic equation that models the ball's height above the ground h, t seconds after it was thrown is given by :
[tex]h=-16t^2+108t+28[/tex] ...(1)
(a) For maximum height, put dh/dt = 0
So,
[tex]\dfrac{d(h)}{dt}=\dfrac{d}{dt}(-16t^2+108t+28)=0\\\\-32t+108=0\\\\t=\dfrac{108}{32}=3.37\ s[/tex]
Put the value of t in equation (1).
So,
[tex]h=-16(3.37)^2+108(3.37)+28\\\\h=210.24\ ft[/tex]
(b) When the ball reaches the ground,
h = 0
So,
[tex]-16t^2+108t+28=0\\\\t=7\ s[/tex]
So, the ball hits the ground in 7 seconds.
Which angles are complementary? I'm not sure if its B.
Answer:
You are right, it's B
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees.
Answer:
The answer is B. the measure of angle GPF and the measure of angle GPH.
Step-by-step explanation:
Two angles are called complementary when their measures add to 90 degrees.
Since the measure of angle FPD has a known angle measure of 90 degrees, the measure of angle FPH is also 90 degrees.
Thus, causing the measure of angle GPF and the measure of angle GPH to add up to 90 degrees, which makes the two angles complementary.
if f is the function defined by f(x) = 3x-1, find the solution set for F(x)=2
Answer:
x = 1
Step-by-step explanation:
3x - 1 = 2
Add1 to both sides
3x = 3
Divide both sides by 3
x = 1
Help me complete this
Answer:
x = 9.9 in.
Step-by-step explanation:
area of triangle = base * height /2
49 = x*x /2
49*2 = x^2
98 = x^2
[tex]\sqrt{98}[/tex] = x
[tex]7\sqrt{2}[/tex] = x
9.9 = x
your teacher plotted a set of cordinetes that contained a negative x and positive y Wich point graphed below could represent the point plotted
Answer:a
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
This set of coordinates does represent a point [tex]P(x,y)[/tex].
Considering a Euclidian plane, such that [tex]P(x,y) \in\mathbb{R}^2[/tex], we have [tex]x\in(-\infty, 0)[/tex] and [tex]y\in[0, \infty)[/tex] . Therefore, the point is in Quadrant II. You possibly forgot to give the points, but point like [tex](-1, 2), (-20, 5), (-1.234, 78)[/tex] could be the answer. In fact, you can just define the point as
[tex]P(x,y) \in\mathbb{R}^2 : x\in(-\infty, 0) \text{ and } y\in[0, \infty)[/tex]
Given that yx is a diameter of V, find mZVX if mYVZ=(15r -1)", mWVX =(8x- 2).mUVW =(7x +15).
and mYVU = 3x + 5).
A 32
B 45°
C 70
D. 134
rational numbers.
Example 6: Write any 3 rational numbers between –2 and 0.
-20
0
ondas
-
Answer:
my firnd coli
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Lol, can someone help me please?
Answer:
1. 11/26 because you add all of the numbers together and thats how i got 26 then you simplify 11/26 which is the simplist form.
2. 5/13 because you simplify 10/26 which equals 5/13
3. 5/26 because it is already in the simplist form
Step-by-step explanation:
~ Hope this helped u Kaitilyn :)))))
Answer:
11/26 is red, 10/26 is yellow, and 5/26 is blue
Step-by-step explanation:
So, to find the probabilities, we must figure out the total amount of frequency found. To do this lets add up the frequencies of red blue and yellow:
11+10+5 = 26
So our total is 26.
This will be the denominator of our fractions. The numerator will be the amount of the specific freuqency we are looking at.
So reds would be:
11/26 - Frequency of red over Total frequency = Ratio
10/26 - Frequency of red over Total frequency = Ratio
5/26 - Frequency of red over Total frequency = Ratio
So these are your 3 answers!
Hope this helps!
prove that
SinA÷tanA=cosA
Step-by-step explanation:
sinA/tanA
=>sinA ÷ sinA/cosA
=>sinA x cosA/sinA
=>cosA
Step-by-step explanation:
Hey there!
LHS
[tex] = \frac{ \sin(a) }{ \tan(a) } [/tex]
[tex] = \sin(a) \times \frac{ \cos(a) }{ \sin(a) } [/tex]
= cos A
Proved!!
Hope it helps!
Polygon ABCDE is reflected to produce polygon A’ B’ C’ D’ E’. What is the equation for the line of reflection?
Options:
A. y=0
B. x=0
C. x=2
D. y=1
Answer:
B. x=0
Step-by-step explanation:
The Polygon ABCDE is reflected by
y-axis => x=0 , to produce polygon A’ B’ C’ D’ E’
Answer:
B. x = 0
Step-by-step explanation:
Plato
PLEASEEEEE HELPPPPPPPP
Answer:
f(-5) = -195
Step-by-step explanation:
Given that,
[tex]f(x)=x^3-2x^2+3x-5[/tex] ....(1)
and
[tex]g(x)=x^2+x-1[/tex]
We need to find the value of f(-5).
Put x = -5 in equation (1).
[tex]f(-5)=(-5)^3-2(-5)^2+3(-5)-5\\\\=-195[/tex]
So, the value of f(-5) is equal to (-195).
Jared has 20 flowers. He wants to plant all of the flowers in equal rows in his garden. What are the different ways Jared can arrange the flowers in equal rows? Solve this problem any way you choose.
Answer:
5 rows of 4 each
4 rows of 5 each
2 rows of 10 each
10 rows of 2 each
1 row of 20
20 rows of 1
Step-by-step explanation:
Which of the following lists of ordered pairs is a function?

A.
(1, 2), (1, –2), (3, 2), (3, 4)

B.
(0, 2), (2, 3), (0, –2), (4, 1)

C.
(1, 6), (2, 7), (4, 9), (0, 5)

D.
(2, 4), (0, 2), (2, –4), (5, 3)
The answer is C
Step-by-step explanation:
Not sure I can't really give an explanation but its C
Correct answer plz. 15 points. Reported for wrong answer. Thx
Third option is the right answer:
−2x + 4y ≥ 0
What’s the word for this definition? “The change in the Y values divided by the change in X values”
Answer:
slopes is the ratio of the change in the y value over the change in the x value
international system of 89643092 in words
Answer:
Eighty nine million six hundred forty three thousand ninety two
Step-by-step explanation:
89,643,092
=> Eighty nine million six hundred forty three thousand ninety two
-5x=25 how to solve this problem