Using the simple interest relation, the amount invested in stocks and bond respectively is $15,000 and $2000
Simple interest
Principal × rate × timeLet her total principal = p
Stock :
Interest = 15000 × 0.07 × 1 = 1050Bond :
Interest = (p - 15000) × 0.09 = 0.09p - 1350Total interest earned :
1050 + 0.09p - 1350 = 1230
-300 + 0.09p = 1230
0.09p = 1230 + 300
0.09p = 1530
p = $17000
Hence,
Amount invested in stock at 7% = $15000
Amount invested in bond at 9% = $17000 - 15000 = $2000
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Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.
Answer:
5.4 units
Step-by-step explanation:
5x + 2y - 4 = 0 and (15, - 21)
d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)
A=5, B=2, C= - 4 and Px=15, Py= -21
d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)
= |75-42-4| / sqrt 29
= 29/sqrt 29 = 5.4
HELPPPPP I NEEED TO GET A GOOD GRADE OR I'M BUSTEDDDDDDDD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(MATH)
I WILL GIVE BRAINILEST! PIC DOWN BELOW!!
Answer:
D) -31
Step-by-step explanation:
use PEMDAS
3^2-(5 x 2^3)
3^2-(5 x 8)
3^2-40
9-40
-31
Cho các tập hợp
A =( x∈R|x²-5x+4≤0)
B= (x∈R|x-1|≤1)
C=(x∈R|x²-7x+6≤0)
xác định: (A∪B)∩C
(A∩B)∪C
CAN YOU BRAINLEST ME THANK YOU
HOPE IT HELPS YOU
Select the correct answer.
An archway is modeled by the equation y = -2x2 + 8x. A rod is to be placed across the archway at an angle defined by the equation x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B?
A.
8 units
B.
6 units
C.
5 units
D.
3 units
Answer:
D. 3 units
Step-by-step explanation:
after you add you get a another number you make a another unit and get your answer or you can get the answer of the another number and add it to together.
that what I think it is
Is triangle RWS triangle QWT
Answer:
Try it as a RWS triangle
State the radius of this circle:
X^2 +Y^2=121
Answer:
radius = 11
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 121 ← is the equation of a circle centred at the origin
with r² = 121 , then
r = [tex]\sqrt{121}[/tex] = 11
given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?
- $6,308,.12
-$3,189.68
-$3,152.06
-$1,594.84
Given the weekly deductions raised, the annual Federal Tax deduction is $ 3,189.68.
Given that the deductions for the week were: Federal Tax $ 61.34, FICA $ 52.05, and State $ 7.92; To determine what is the annual Federal Tax deduction, the following calculation must be performed:
The weekly deduction must be multiplied by the number of weeks that a year has, to obtain the final amount of taxes.
$ 61.34 x 52 = X $ 3,189.68 = X
Therefore, the annual Federal Tax deduction is $ 3,189.68.
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In Canada, 92% of the households have televisions.
72% of households have televisions and internet access.
5% have neither. Use appropriate probability notation to answer the following:
A) create a relative frequency table of this situation.
Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
NEVER GOING TO GIVE YOU UP NEVER GOING TO LET YOU DOWN NEVER GOING TO RUN AROUND AND DESERT YOU NEVER GOING TO MAKE YOU CRY NEVER GOING TO TELL A LIE AND HURT YOU OOOOOOOO GIVE YOU UP OOOOOO NEVER GOINT TO GIVE NEVER GOING TO GIVE
[tex]3642164 \times 363.6466 = 666[/tex]
[tex] \infty [/tex]
Answer:
thank you!
Step-by-step explanation:
Please help!!!
I need help finding the answer.
Answer:
2nd option
Step-by-step explanation:
The shaded area = outside area - inner area
= x² - (x - 6)² ← expand using FOIL
= x² - (x² - 12x + 36) ← distribute parenthesis by - 1
= x² - x² + 12x - 36 ← collect like terms
= 12x - 36
Solve for c.
-2.2 - 0.1c = -1.9
Answer: c = _____
Answer:
c = -3
Step-by-step explanation:
-2.2 - 0.1c = -1.9
-0.1c = 0.3
c = -3
Hopefully this helps!
Brainliest please?
Write the equation of the line , in slope - intercept form , with following information : rate of change: -1 point : (3, - 3)
Answer:
y = -x
Step-by-step explanation:
Slope-intercept form looks like this: y = mx + b, with m being the slope or rate of change and b being the y-intercept. We already know the rate of change, so we can put -1 as m: y = -1x + b. To find our y-intercept, we can plug the point (3, -3) into the equation and solve for b:
-3 = -1(3) + b
-3 = -3 + b
b = 0
So we have y = -1x + 0. This can be simplified to y = -x.
If a bag contains 16 red, 4 yellow, 20 blue, and eight white balloons, what is the part to whole ratio of red balloons to all balloons?
Answer: 1:3
Step-by-step explanation:
(add) 16 + 4 + 20, + 8 = 48.
Then simplify 16:48 = 2:6 = 1:3
Hope this helped, have a great day/night!
~IFoundJiminsLostJams~
A sample of 800 computer chips revealed that 57% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 62% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.02 level.
Answer:yes
Step-by-step explanation:
yes
What is the slope of the line that contains these points?
Answer:
8
Step-by-step explanation:
Let,
x1 = 0
x2 = 1
y1 = 18
y2 = 26
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 26 - 18 ) / ( 1 - 0 )
= 8 / 1
Slope = 8
pls help i’m so confused
Answer:
I think your answer is i
Step-by-step explanation:
The rotational symmetry would be letters i
The letter with rotational symmetry is i
Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year. The other offers a starting salary of $28,000 plus a raise of $1,800
when the two jobs will have the same salary?
The difference in starting pay:
32,000 - 28,000 = 4,000
The difference in raises:
1,800 -1,000 = 800
Number of years to be the same:
4,000 / 800 = 5
Answer 5 years
Two or more expressions with an Equal sign is called as Equation. After 5 years the two jobs will have the same salary
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Brandon is offered two jobs. One has a starting salary of $32,000 plus a raise of $1,000 every year.
The other offers a starting salary of $28,000 plus a raise of $1,800.
The difference in starting pay:
Thirty two thousand minus twenty eight thousand equal to four thousand.
32,000 - 28,000 = 4,000
The difference in raises:
Eighteen thousand minus thousand equal to eight hundred.
1,800 -1,000 = 800
Number of years to be the same:
4,000 / 800 = 5
Hence after 5 years the two jobs will have the same salary.
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Hi hi! I'd appreciate the help, and I'll give Brainliest. I need this now please!
Answer:
Step-by-step explanation:
There are a few different ratios you can use:
2:1 = 12:6 = 24:12
3:1 = 12:4 = 36:12
4:1 = 12:3 = 48:12
5:1 = 15:3 = 60:12
These are just a few i could give
10.com
Leg, width
and height
Answer:
volume = length × breadth × height
v = l × b × h
= 6 × 7 × 10
= 420 cm³
so the volume of the cubeoid is 420 cm³
Step-by-step explanation:
brainliest plz
What will NEVER change?
In a sequence of translations, reflections, and rotations,
what will NEVER change from the pre-image to the
image?
(Select all that apply)
The lengths of the line segments.
T
The position of the object.
The measures of the angles.
The orientation of the object.
Answer:
Step-by-step explanation:
the lengths of the line segments
Jane paid $110 for an item at 40% off. What was the original price?
Answer:
$183.33
Step-by-step explanation:
Which problem could the bar diagram represent
ANSWER: is there a picture for the question?
Step-by-step explanation:
Calculate the area of the shape below. Give your answer in cm².
Answer:
area of the shape below is
53cm^2
.......
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer: 2,208$
Step-by-step explanation:
To solve this problem, simply determine how much each attendee costs by doing 960$/30attendees = 32$/attendee. Then, simply multiply this number by 69 to get: 2,208$
Hope it helps :) and let me know if you want me to elaborate further.
Class 6 MATHS is this correct?
Answer:
yes it is correct great job
A penguin walks 10 feet in 6 seconds. How far does he walk in 45 seconds?
o
Addison is considering two sales jobs. She
estimates her total monthly sales will average $18,000. Which job should Addison take if she wants to earn more money each month? How much more will she earn?
A commission of 24% of her total
monthly sales.
Salary of $4,000 with a commission of 12.25% on her total monthly sales
over $14,500.
Answer: job 2 $ 108.75
Step-by-step explanation:
The total income after adding commission will be $5776.25.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that salary of $4,000 with a commission of 12.25% on her total monthly sales of over $14,500.
Total income will be calculated as:-
Total income = 4000 + 12.25% of 14500
Total income = 4000 + 1776.25
Total income = $5776.25
Therefore, the total income after adding the commission will be $5776.25.
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(Pre calc) I only need to do part A i would love to have some help I will make it 120 Points
Answer:
The domain should be X
Step-by-step explanation:
I'm a bit unsure but I think it's correct
Given matrices A and B shown below, find (3)A+(8)B.
Answer:
[tex]\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]
Solve for the values of x for each of the following exponential equations and inequalities.
1. 82− = 2
3. 5 = 25−2
4. 3+2 ≥ 27
5. 43 = 8−1
Answer:
8
2−x
=2
8^{2-x}=8^{1/3}8
2−x
=8
1/3
2-x=\dfrac{1}{3}2−x=
3
1
x=\dfrac{5}{3}x=
3
5
2.
(\dfrac{1}{2})^{x}<\dfrac{1}{8}(
2
1
)
x
<
8
1
(\dfrac{1}{2})^{x}<(\dfrac{1}{2})^{3}(
2
1
)
x
<(
2
1
)
3
x>3x>3
3.
5^x=25^{x-2}5
x
=25
x−2
25^{x/2}=25^{x-2}25
x/2
=25
x−2
\dfrac{x}{2}=x-2
2
x
=x−2
\dfrac{x}{2}=2
2
x
=2
x=4x=4
4.
3^{x+2}\geq273
x+2
≥27
3^{x+2}\geq3^33
x+2
≥3
3
x+2\geq3x+2≥3
x\geq1x≥1
5.
4^{3x}=8^{x-1}4
3x
=8
x−1
2^{6x}=2^{3x-3}2
6x
=2
3x−3
6x=3x-36x=3x−3
3x=-33x=−3
x=-1x=−1
Step-by-step explanation: