Answer:
The amount invested in high-yield bonds was $20,000
Step-by-step explanation:
The total amount Dorothy invested = $80,000
The amount that can be earned by investing part of the amount in high-yield bonds = 10% profit
The amount that can be earned by putting the rest of the amount into "old economy" stocks = 12% profit
Dorothy's total profit = $9,200
Let 'x' represent the amount she invested in high-yield bonds, and let 'y' represent the amount she invested in "old economy" stocks, we have;
x + y = 80,000...(1)
0.1·x + 0.12·y = 9,200...(2)
From equation (1), we get;
y = 80,000 - x
Plugging in the above value of 'y' in equation (2), gives;
0.1·x + 0.12·y = 0.1·x + 0.12 × (80,000 - x) = 9,200
0.1·x - 0.12·x + 9,600 = 9,200
-0.02·x = 9,200 - 9,600 = -400
x = -400/(-0.02) = 20,000
x = 20,000
The amount Dorothy invested in high-yield bonds, x = $20,000
(∴ y = 80,000 - x = 80,000 - 20,000 = 60,000
y = 60,000
The amount she invested in old economy stocks, y = $60,000).
Find t:
6 x 10^t = 360
Answer:
t=1.78
Step-by-step explanation:
Solve for the value of y.
60°
(8y-2)
Ifm_2 = 68°, what is the measure of angle 7? 1 2. 3 5 7
Answer:
∠7=22°
Step-by-step explanation:
∠2 and ∠7 are supplementary angles, meaning they add to 90°.
∠2+∠7=90°
substitute ∠2
68°+∠7=90°
∠7=22°
Find the maximum value of
P = 4x + 5y
subject to the following constraints:
x + 3y = 13
3x + 2y < 25
X>0
y>0
P = [?]
Answer:
38 is the maximum value
Step-by-step explanation:
First we should graph each inequality. Then we can find the points on the intersecting region and take those points and plug them into the equation P = 4x + 5y. Then we can find the maximum value from there. The maximum value is tied to the point (7, 2), with P = 38. :)
I don't understand. but I think the screenshot will be useful
Answer:
a) 7, 10, 13, 16, ..., 34
Step-by-step explanation:
I'll only solve part a and you'll be able to do part b.
You're given:
3n+4
to find the first four terms, just plug in n = 1, 2, 3, 4 into n.
for n=1: 3(1)+4 = 7
for n=2: 3(2)+4 = 10
for n=3: 3(3)+4 = 13
for n=4: 3(4)+4 = 16
as you might guess, to find the 10th term, you plug in n=10.
for n=10: 3(10)+4 = 34
Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?
q + d = 6 25q + 10d = 33
q + d = 6 0.25q + 0.1d = 33
q + d = 33 25q + 10d = 6
q + d = 33 0.25q + 0.1d = 6
Answer:
q + d = 33 0.25q + 0.1d = 6 Option D
Step-by-step explanation:
The system of linear equation that can be used to find the number of quarters, q, and the number of dimes, d, Martin has is as follows:
q + d = 33
0.25q + 0.1d = 6
Martin has a combination of 33 quarters and dimes worth a total of $6.
Therefore,
q = number of quarters
d = number of dimes
The linear equation can be represented below:0.1 dollars = 1 dime
0.25 dollars = 1 quarters
Therefore,
0.25q + 0.1d = 6
The quarters and dimes total 33. Therefore,
q + d = 33Therefore, the combined equation will be as follows:
q + d = 33
0.25q + 0.1d = 6
learn more on dimes and quarters here;https://brainly.com/question/3095346?referrer=searchResults
For a certain population of sea urchins, 16% are longer than 8 inches. A random sample of 75 sea urchins will be selected. What is the standard deviation of the sampling distribution of the sample proportion of sea urchins longer than 8 inches for samples of size 75?
Answer:
0.042
Step-by-step explanation:
Given :
p = 16% = 0.16
q = 1 - p = 1 - 0.16 = 0.84
Sample size, n = 75
The standard deviation of sampling distribution :
√(pq)/n
√(0.16 * 0.84) / 75
√0.1344 / 75
√0.001792
Standard deviation of sampling distribution = 0.0423320
f(x) = 2x^2 - 4x - 5
vertex? (x,y)
number of solutions?
range?
Answer:
F(x) = 2x^2 - 4x - 5
vertex? (1,-7)
range?
{y|y>=-7}
number of solutions?
Sorry I couldn’t find the answer, I hope this will do.
A student must have at least 10 hours of instructor-assisted driving time to pass
the course. Write an inequality to describe this situation.
Answer:
t ≥ 10
Step-by-step explanation:
Since the student needs at least 10 hours of driving time, they need greater than or equal to 10 hours to pass.
Lizzie rolls two dice. What is the probability that one of the dice shows a 6 or the
the total sum of both dice is a prime number (or both)?
I really need the answer pls I have to submit this really quickly
Answer:
5/12
Step-by-step explanation:
one if duce shows a 6 =>
(6,..) and (..,6) => 11 events
both dice is prime number :(2, 3 &5)
3×3 = 9 events
total events = 11+9=20 events
so, probability = P = 20/36 or 5/12
Find the measure of ZBAC.
Answer:
[tex] = \frac{57}{2} \\ = 28.5[/tex]
John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer. John decided to go to Planet Fitness, which costs $30 to join, and $5 per visit. Caleb decided to go to Club4Fitness, which just charges $8 per visit. After how many visits have John and Caleb spent the same amount of money, and how much money did they spend?
Answer:
10 visits
Step-by-step explanation:
John and Caleb want to make the high school basketball gym, so they are going to join a gym over the summer.
Let the number of visits be represented as: x
For John
John decided to go to Planet Fitness, which costs $30 to join, and $5 per visit.
The equation = $30 + $5 × x
= 30 + 5x
For Caleb
Caleb decided to go to Club4Fitness, which just charges $8 per visit.
The Equation = $8 × x
= 8x
We equate both equations to each other
30 + 5x = 8x
Collect like terms
30 = 8x - 5x
30 = 3x
x = 30/3
x = 10
Therefore, John and Caleb would spent the same amount of money after 10 visits.
I need help please ty
Answer:
Step-by-step explanation:
dads know dude
BRAINLIEST TO FIRST ANSWER
Use this story to answer all the following questions:
Vanessa's team played 8 games of basketball. During those 8 games her team's score was: 68, 76, 63, 58, 64, 75, 78 and 78.
What is the mean?
2.
What is the median?
3.
What is the range?
4.
What is the mean absolute deviation?
Answer:
The mean is 70, that's all I know. Sorry!
Step-by-step explanation:
Here's how you find the mean:
1. Add together ALL NUMBERS. (which equals 560 in this case.)
2. DIVIDE by the amount of numbers there are. (So 560 ÷ 8 = 70)
3. There's your answer! The mean of these numbers is 70.
I really hope this helps! Have a great day\night!
Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
Complete question :
The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.
Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
Answer:
21 runners
Step-by-step explanation:
Mean, μ = 13 seconds
Standard deviation, σ = 0.3
Lana's race time = 13.2
We find the proportion of runners who had race time above 13.2 ;
Proportion of who had race tune above 13.2
P(x > 13.2)
Obtain the Zscore
Zscore = (x - μ) / σ
Z = (13.2 - 13) / 0.3
Zscore = 0.2 / 0.3 = 0.6667
P(Z > 0.6667) = 0.25239 (Z probability calculator)
This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)
Hence, Number of runners Lana beat = 25% of total runners ;
0.25 * 84 = 21
Hence, Lana beat about 21 runners
help me with this math plz
Hans invests $550 at a rate of x% per year compound interest. At the end of 10 years, the value of the investment is $638.30, correct to the nearest cent.
Find the value of x.
Answer:
1.5%.
Step-by-step explanation:
x per cent is written as 0.01x as a decimal fraction.
638.30 = 550(1 + 0.01x)^10
(1 + 0.01x)^10 = 638.30/550
Taking logarithms:
10 ln (1 + 0.01x) = ln ( 638.30/550)
ln (1 + 0.01x) = ln ( 638.30/550)/ 10
ln(1 + 0.01x) = 0.014889
Converting the logs:-
1 + 0.01x = e^0.014889 = 1.015
0.01x = 1 - 1.015
0.01x = 0.015
x = 0.015/ 0.01
= 1.5.
classify a triangle whose side lengths are 8, 16, and 18
Answer:
Acute
Step-by-step explanation:
hmmmmmmmmmmmmmmmmmmmm
Answer:
correct
Step-by-step explanation:
don't change anything
Help me please. Algebra 2 is sooooo hard. I’m about to give up an fail this class
Answer:
ex2 = e4x+5 --> 5, -1
ln(x+5)=ln(x-1)+ln(x+1) --> 3
log(4)(5x^(2)+2)=log(4)(x+8) --> -1, 6/5
log(x-1)+log5x=2 --> 5
Step-by-step explanation:
None needed
plsssssssss somebodyy helppp meeeee
I need help Please and thank you What is the area of the triangle below? 21 yd 14 yd
Answer:
147 square yards
Step-by-step explanation:
Area = 21 x 14 x 1/2
Area = 294 x 1/2
Area = 147 yd ^ 2
Hope that helps! :)
-Aphrodite
Marking brainliest! its due today, so pls do your best thank you!!
Answer:
Question 1: x = 3, y = 2
Question 2: x = 0.5
Step-by-step explanation:
Question 1 explanation: In a parallelogram, both the horizontal and the vertical sides are equal, this means that [tex]2y + 3 = y + 5[/tex] ⇒ [tex]y = 2[/tex]. Since you've already figured out the value of y, you can input the value to side QR to help find x. [tex]4x-3=4*2+1[/tex] ⇒ [tex]4x-3=9[/tex] ⇒ [tex]4x=12[/tex] ⇒ [tex]x=3[/tex]. So x equals 3 and y equals 2.
Question 2 explanation: Since side AE is equivalent to side EC, that means quadrilateral ABCD is a parallelogram. In a parallelogram, the diagonal lengths from the corners of the shape to the center are equal, which means [tex]10x = 2x + 4[/tex] ⇒ [tex]8x=4[/tex] ⇒ [tex]x = 0.5[/tex].
Which is the product of product of (-1 2/5) (-2 3/4)? A. -2 3/10 B. 2 3/10 C. 3 17/20 D. -3 17/20 E. 6 9/10
can you understand? let me know in comment
Who is able to solve this problem for me please!!!!!!!!!!
Brainiest will be marked!!!!
No link i can’t open it!!!
Answer:
11
Step-by-step explanation:
I did the square root method.
hope this helps!
Hi Is 4/8 equal 8/10
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Answer:
No
0.5 ≠ 0.8
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
No, it is not.
Step-by-step explanation:
The reason is that if you simplified 4/8, you will get 1/2. When you simplified 8/10, you will get 4/5. 1/2 and 4/5 aren't the same number or equivalent to each other so the answer will be no.
Hope that helps. If you need help with anything, let MissAsker know :)!
What is the area of the rectangle below?
Answer:
5/9m
Step-by-step explanation:
5/6 x 2/3
50 POINTS
If A denotes the area of the sector of a circle of radius r formed by the central angle theta, find the missing quantity. if necessary, round the answer to two decimal places.
r=9 inches, theta = pi/6 radians, A=?
Answer:
Step-by-step explanation:
Area of sector = ½ r² ∅
1/2 ( 9^2) pi/6
81 x pi/6 x 1/2
81 x (0.52359877559) x 1/2
Area of sector = 21.21
what is the circumference of circular ground in diameter d m ? Find it
The diameter od the ciruclar ground given the circumference is 126 m.
What is the diamter of the ciruclar ground?The circumference of a circle is the distance round the circle. The diameter of a circle is a straight line that touches two points on the circumference of a circle and also passes through the center.
Diameter = cirucumference / pi
396 ÷ 22/7 = 126 m
Here is the complete question: The circumference of a circular ground is 396meter find its diameter
To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152
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Its a pull and the location has to be less than 400N