Let's say Lily invested x amount of money in bonds and 2x in stocks. What the yield is annually from those is 6% of x plus 2 * 8% of x, as she gets 6% in bonds and 8% in stocks. Simplified is 0.06x + 0.16x. Add and you get 0.22x. Now you can solve a simple equation.
Equation:
0.22x = 325.6 (as annual income is $325.60)
----divide both sides by 0.22----
x = 1480
----multiply by 2 to get your answer----
2x = amount of stocks = 1480 * 2 = $2960
Please help with this Math work.
Answer:
12
Step-by-step explanation:
12 is the lowest common denominator here. Both 4 and 6 divide evenly into 12 with no remainder.
use a protractor to find the measure of each angle. Write each angle and its measure in a box ordered by the measure of the angles from least to greatest.
Answer:
Part 1) and Part 2) in the procedure
Step-by-step explanation:
step 1
Find the measures of angles
we know that
The sum of the angles A, B and C must be equal to 360 degrees
Using a protractor
The measures of angles are
∠A=140°
∠B=100°
∠C=120°
step 2
Ordered the measures of the angles from least to greatest
1) ∠B=100°
2) ∠C=120°
3) ∠A=140°
What is the volume of a cube if the length is 3 mm, the width is 3 mm, and the height is 3 mm? A) 9 cubic millimeters B) 18 cubic millimeters C) 27 cubic millimeters D) 30 cubic millimeters
A nine cubic millimeters
The volume of a cube with each dimension being 3 mm is obtained by multiplying the length, width, and height which results in 27 cubic millimeters. So the correct answer is C) 27 cubic millimeters.
Explanation:To solve for the volume of a cube, the formula Volume = Length x Width x Height is used. In the case given, all three dimensions (length, width, and height) are 3 mm. This results in Volume = 3 mm x 3 mm x 3 mm which simplifies to 27 cubic millimeters.
Hence, the correct option is C) 27 cubic millimeters.
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students were asked to write a trinomial that could not be factored using integers. which students followed the given directions.
pat x2 + 3x- 10
sam x2+x-12
mel x2+2x-1
lee x2+2x-3
ANSWER
Mel followed the right direction.
EXPLANATION
Pat's trinomial is;
[tex] {x}^{2} + 3x - 10[/tex]
There are factors of -10 that sums up to 3.
[tex]5 + - 2 = 3[/tex]
Hence this trinomial could be factored into (x-2)(x+5)
Sam's trinomial:
[tex] {x}^{2} + x - 12[/tex]
There are factors of -12 that sums up to 1.
4+-3=1
[tex] {x}^{2} + x - 12 = (x + 4)(x - 3)[/tex]
Mel's trinomial:
[tex] {x}^{2} + 2x - 1[/tex]
There are no factors of -1 that sums to 2.
This trinomial cannot be factored.
Lee's trinomial:
[tex] {x}^{2} + 2x - 3[/tex]
There are factors of -3 that sums up to 2
3+-1=2
[tex] {x}^{2} + 2x + 3 = (x + 3)(x - 1)[/tex]
Can someone plz help with inequalities. PLZ EXPLAIN!!! Just everything to do with them. Thanks
Answer:
Females and Males
Step-by-step explanation
Men and Women are a perfect example of inequal, men are much greater. Jkjk
n mathematics, an inequality is a relation that holds between two values when they are different. The notation a ≠ b means that a is not equal to b. It does not say that one is greater than the other, or even that they can be compared in size.
What is the math answer
Answer:
16
Step-by-step explanation:
The perpendicular diameter to the chord divides it into two congruent parts.
Since
VU⊥XS, XT=3b-1,TS=b+5,we have that XT=TS.
Hence,
3b-1=b+5,
3b-b=5+1,
2b=6,
b=3.
So,
XT=3·3-1=9-1=8
TS=3+5=8
and
XS=XT+TS=8+8=16.
1.24•10^3 + 2.3 • 10^4
The numbers in this addition problem are given in scientific notation. First we should convert these values into decimal notation by moving the decimal points over by the power of 10 that the significant figures are being multiplied by.
The first number is being multiplied by 10^3, so the decimal place will move to the right 3 places to become 1240.
The second number is being multiplied by 10^4, so it becomes 23000.
Add these together to get:
1240 + 23000 = 24240
The answer is 24240.
Identify each of the following numbers as rational or irrational.if the number is irrational,explain how you know?
Answer:
a) Irrational
b) Rational
c) Rational
d) Rational
e) Irrational
f) Irrational
Step-by-step explanation:
a) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal.
b) It is a terminating decimal
c) It is a fraction
d) It is a integer
e) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal
f) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal
Plz help me with this
Answer: Consistent
Step-by-step explanation:
When given a system of equations, the definitions of the solution are:
Consistent & Independent: exactly ONE solution (lines intersect)Consistent & Dependent: INFINITE solutions (same line)Inconsistent: NO solutions (parallel lines)In the given graph, the lines intersect and have exactly ONE solution --> The system is Consistent and Independent.
can someone please give me the answers to these 2 will add 40 points
Answer:
Q1. x = 17.1; y = 5.6Q2. x = 9.7; y = 24.1Step-by-step explanation:
Use sine and cosine.
[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
Q8.
We have:
[tex]opposite=y\\\\adjacent=x\\\\hypotenuse=18\\\\\alpha=18^o\\\\\sin18^o\approx0.309\\\\\cos18^o\approx0.9511[/tex]
Substitute:
[tex]\dfrac{y}{18}=0.309[/tex] multiply both sides by 18
[tex]y=5.562\to y\approx5.6[/tex]
[tex]\dfrac{x}{0.9511}=18[/tex] multiply both sides by 0.9511
[tex]x=17.1198\to x\approx17.1[/tex]
Q9.
We have:
[tex]opposite=y\\\\adjacent=x\\\\hypotenuse=26\\\\\alpha=68^o\\\\\sin68^o\approx0.9272\\\\\cos68^o\approx0.3746[/tex]
Substitute:
[tex]\dfrac{y}{26}=0.9272[/tex] multiply both sides by 26
[tex]y=24.1072\to y\approx24.1[/tex]
[tex]\dfrac{x}{26}=0.3746[/tex] multiply both sides by 26
[tex]x=9.7396\to x\approx9.7[/tex]
turn -x^2+5 into an ordered pair
Set the equation to equal 0:
-x^2 +5 = 0
Subtract 5 from both sides:
-x^2 = -5
Multiply each side by -1:
x^2 = 5
Take the square root of both sides:
x = √5
Complete the solution by having both positive and negative:
x = √5 and x = -√5
Ordered pair: (√5,-√5)
Plz help me with this
Answer:
The rate of change of g(x) is 7/8 which when multiplied by 20/21 gives 5/6, the rate of change of f(x). This means the answer is the second one.
Step-by-step explanation:
Please help ASAP please
Answer:
in april
Step-by-step explanation:
Keep track of every 1, 2, 3, or 4 rolled in 30 rolls and repeat this process 100 times to represent the days the temperature is above 80°F in June.
The BEST way to perform the simulation in this scenario would be to keep track of every 1, 2, 3, or 4 rolled in 30 rolls, as these represent the number of days the temperature is above 80°F in June. Repeat this process 100 times.
By simulating the number of days the temperature is above 80°F in June for 30 rolls and repeating it 100 times, you will obtain a larger sample size and a more accurate estimate of the probability. This approach allows for more data points and reduces the impact of random variations that can occur in smaller sample sizes.
Therefore, option 3 is the best way to perform the simulation: Keep track of every 1, 2, 3, or 4 rolled in 30 rolls and repeat this process 100 times to represent the days the temperature is above 80°F in June.
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Samuel is looking at the floor plan of his house to determine how much carpet he needs to buy for his basement. Based on the floor plan of his basement, how can he decompose the measurements into expressions find the area? A) First, find two areas using (4m + 10m = 14m2) and (8m + 3m = 11m2). Next, add (14m2 + 11m2 = 25m2). B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2). C) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, subtract (40m2 - 24m2 = 16m2). D) First, add all the labeled sides using (4m + 10m + 12m + 3m = 29m2). Next, add the remaining sides (8m + 7m = 15m2).
Answer:
B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).
Step-by-step explanation:
Samuel should is looking to find the area of his basement in order to cover it with carpet.
An area is calculated by multiplying two dimensions (so answers A and D are not it).
Best solution is to divide the area into two large rectangles then ADD them together to get the total area.
The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m). He would have achieved the same result of course, but by going a different way.
Find the area of the figure.
Answer:
i might be wrong but i think its 900
Step-by-step explanation:
Answer:
236.625
Step-by-step explanation:
7.5 * 7.5 = 56.25
56.25 * 3.14 = 176.625
176.625 + 60 = 236.625
PLEASE HELP! Much Appreciated!
Find the area of each shaded region. Assume that all angles that appear to be right angles are right angles.
Answer:
[tex]1,275\ m^{2}[/tex]
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of complete rectangle minus the area of the smaller inside rectangle
so
[tex]A=(65)(30)-(45)(15)=1,950-675=1,275\ m^{2}[/tex]
Alternative Method
The area of the shaded region is equal to the area of three rectangles
[tex]A=(10)(30)+(45)(15)+(10)(30)=1,275\ m^{2}[/tex]
4) Ben is making bread that calls for 5 cups of flour. His measuring
cup only holds 2 cup. How many times will Ben need to fill the
measuring cup to get to the 5 cups of flour?
WHAT IS THIS PLS HELP
Answer:
x = -10
Step-by-step explanation:
-3/4 (x+2) = 6
Multiply each side of the equation by -4/3 to clear the fraction
-4/3 *-3/4 (x+2) = 6*-4/3
(x+2) = 2*-4
x+2 = -8
Subtract 2 from each side
x+2-2 = -8-2
x=-10
Which ratios are all equivalent to 1:5 2/9,2/10,6:30,5 to 20, 3/20, 8 to 40
2:10 6:30 8:40 has a ratio of 1:5. How I did it was to divide the first number by the second number to get 1:5
The drawing tip of a child’s marker is in the shape of a hemisphere. The diameter of the great circle of the hemisphere is 18 millimeters. What is the volume of the drawing tip? π cubic millimeters
Answer:
pi*486mm ^3
Step-by-step explanation:
The equation of a hemisphere is half of that of a sphere, therefore it is 2/3pi*radius^3
We must calculate radius, which is just diameter/2 so 18/2 or 9
We can remove pi, as you want this measured in pi cubic millimeters.
this leaves us with (2/3)*9^3 which is 486cm
Henceforth, the final answer is pi*486 cubic millimeters.
Answer:
Answer is C on Ed
Step-by-step explanation:
Can someone help me with 8 , 9 , and 10?
Parking Lot A has twice as many cars as Parking Lot B. After 10 cars draw away from Parking lot A, and 13 cars moved from parking lot A to Parking lot B, Parking lots have the same amount of cars. How many cars were there in each Parking Lot?
Answer:
The original number of cars in parking Lot A was 72 cars and the original number of cars in parking Lot B was 36 cars
Step-by-step explanation:
Let
x----> original number of cars in parking Lot A
y----> original number of cars in parking Lot B
we know that
x=2y ----> equation A
(x-10-13)=y+13 ----> equation B
substitute equation A in equation B and solve for y
(2y-10-13)=y+13
(2y-23)=y+13
2y-y=13+23
y=36 cars
Find the value of x
x=2y -----> x=2(36)=72 cars
therefore
The original number of cars in parking Lot A was 72 cars
The original number of cars in parking Lot B was 36 cars
Parking Lot B initially had 36 cars, and Parking Lot A had twice that amount, which is 72 cars. After 10 cars left Parking Lot A, and 13 cars were transferred from Parking Lot A to B, both lots ended up with the same number of cars.
The question asks us to solve a word problem involving the principle of algebraic equations to determine the number of cars in two parking lots. Let's refer to the number of cars in Parking Lot B as x. Therefore, Parking Lot A has 2x cars since it has twice as many cars as Parking Lot B.
According to the problem, after 10 cars leave Parking Lot A and 13 cars move from A to B, both lots end up with the same number of cars. We can set up the following equation to represent this scenario:
Initial condition: A has 2x cars, B has x cars.
10 cars leave A: A now has 2x - 10 cars.
13 cars move from A to B: A now has (2x - 10 - 13) cars, and B now has (x + 13) cars.
Both lots have the same number of cars: 2x - 10 - 13 = x + 13.
Solving the equation:
2x - 23 = x + 13
2x - x = 13 + 23
x = 36
Therefore, Parking Lot B initially had 36 cars, and Parking Lot A had 72 cars (2×36).
which graph below has a slope of -1/2
Where are your graph?
Please help with Math :) Thanks!
Last choice the area becomes 25 times greater
4. Which relation is a function?
O {(3, 4), (2, 4), (5, 1), (3,5)}
O {(3, 4), (3, 3), (1, 2), (1,5)}
{(1,4), (1, 3), (1, 2), (1, 1);
{(1, 3), (2, 6), (3,9), (4, 12)}
Answer:
The last option choice [(1,3), (2,6), (3,9), (4,12)
Step-by-step explanation:
The key idea to understand in a function/relation is that each input can only have one output. Inputs are your x-variables and outputs are your y-variables.
In the first relation, you see the two points (3,4) and (3,5). 3 is your input [since its x] , however, it gives you two outputs [y's], 4 and 5. So you can cross out the first option.
In the second relation, look at the points (3,4) and (3,3). Again, both have the same input 3, but different outputs, 4 and 3. So you can cross out the second option.
In the third relation, look at all of the points. They all share a common input, 1, but different outputs, 2, 3, 4, and 5. So you can cross out the third option too.
Lastly, look at the last relation. They all have different inputs but the key thing to look at here is that each input only has one corresponding output. Thus, this is the right answer.
I hope this helps!
y=4x + 45
x = 4y
Solve the system of equation algebraically.
Answer:
x= -12,y= -3
Step-by-step explanation:
Answer:
hey this is the answer
Step-by-step explanation:
x= -12,y= -3
One American flamingo has a mass of about 2 kg. What is the mass of 40American flamingos that each have a mass of about 2kg?
They have a total mass of about 80kg
Answer: 80kg
Step-by-step explanation: 40 flamingos X 2kg = 80 kg
What conjecture can you make about the sum of the first 22 positive even numbers?
A.) The sum of the product of the number of terms and the number of terms plus one.
B.) The sum is the product of the number of terms and the number of terms minus one.
C.) The sum is the product of the number of terms and two.
D.) The sum is equal to the number of terms squared.
Answer:
A.) The sum of the product of the number of terms and the number of terms plus one.
Step-by-step explanation:
So, we have the sum of the first 22 positive even numbers:
S = 2 + 4+ 6 + ... + 44
We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).
S = (2 + 44) * 11 = 46 * 11 = 506
Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).
S = 22 * 23 = 506
That's confirmed.
Answer B would give 22 * 21 = 462, so it's not right
Answer C would give 22 * 2 = 44, obviously not right
Answer D would give 22 * 22 = 484, close but not right.
Answer:
the answer is d
Step-by-step explanation:
What expression gives the height, h, of the triangle?
Answer: Your answer is C.
Step-by-step explanation: I'm taking this test rn and it's C. K12 anyone?
Answer:
C.Step-by-step explanation:
In the given graph, we have an isosceles triangles, which height divides its side in two equal parts.
So, from the division, we have to equal right triangles, which on leg is 6, and its angle is 80°, being the height the other leg.
Now, to find the height, we have to use trigonometric reasons, specifically, the tangent reasons because involves a relation with both legs
[tex]tan80=\frac{h}{6}[/tex]
So, we isolate [tex]h[/tex] to find its expression
[tex]h=6(tan80)[/tex]
If we compare with given choices, you'll observe that option C is the right answer.
HELP!!!
This Venn diagram shows sports played by 10 students .
Let event A = The students plays basketball .
Let event B = The student plays soccer .
What is P(A|B) ?
Answer:
the answer is c
Step-by-step explanation:
Probability is the ratio of the favorable event to the total number of events. Then P(A|B) is 0.40.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
This Venn diagram shows sports played by 10 students.
Let event A = The students play basketball.
Let event B = The student plays soccer.
Then the probability of the will be
[tex]\rm P(A|B) = \dfrac{P(A \cap B)}{P(B)}\\\\\\P(A|B) = \dfrac{\dfrac{2}{10}}{\dfrac{5}{10}}\\\\\\P(A|B) = \dfrac{2}{5} = 0.40[/tex]
Thus, P(A|B) is 0.40.
More about the probability link is given below.
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