Step-by-step explanation:
Total number of Black cards is 26
Total number of cards having a ten is 4 out of which 2 are red
Number of favourable outcomes=28
TOTAL number of possible outcomes =52
Therefore the probability = 28/52 = 7/13
Samantha wants to buy a house and plans to rent the apartment located in the basement for extra income. The house has a purchase price of $200,000 and she will make a 10% down payment. Samantha has qualified for a 30 year mortgage with a fixed rate of 5.875%. Approximately how much rent should she charge for the apartment in order to cover her monthly mortgage payment if she only wants to spend $500 a month of her own money?
Answer:
$567.07
Step-by-step explanation:
Given that :
Purchase price = $200,000
Number of years = 30
Rate = 5.875%
Down payment = 10%
Hence, mortgage amount :
Purchase price - down payment
200,000 - (0.1 * 200000)
200,000 - 20,000
= $180,000
Using a mortgage calculator :
Mortgage amount = 180,000
Mortgage term = 30 years
Interest = 5.875%
Monthly payment will be : $1067.07
Hence, if she only wants to $500 from her own money, A rent of ($1067.07 - $500) = $567.07 will need to be charged
Help me with those two questions
Given:
A figure in which a transversal line intersect two parallel lines.
[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].
To find:
The value of x and y.
Solution:
We know that, if a transversal line intersect two parallel lines, then
(1) Alternate exterior angles are equal.
(2) Same sided interior angles are supplementary. So their sum is 180 degrees.
In the given figure j and k are parallel lines and l is a transversal line.
From the given figure, it is clear that,
[tex]m\angle 2=m\angle 7[/tex] (Alternate exterior angles are equal)
[tex]4x+7=5x-13[/tex]
[tex]7+13=5x-4x[/tex]
[tex]20=x[/tex]
Therefore, the value of x is 20.
Now,
[tex]\angle 3+\angle 5=180[/tex] (Same sided interior angles are supplementary)
[tex]3y-2+68=180[/tex]
[tex]3y+66=180[/tex]
[tex]3y=180-66[/tex]
[tex]y=\dfrac{180-66}{3}[/tex]
[tex]y=\dfrac{114}{3}[/tex]
[tex]y=38[/tex]
Therefore, the value of y is 38.
A velocity field (in m/s units) is given by u = 2x 2 y, v = − xy2 , w = 0. (a) Obtain the streamline equation and plot several streamlines in the domain 0 x 5, 0 y 5. (b) Find the velocity vector at point (1, 2),
Answer:
I don't know but, try your hardest you can do it! I know you can!
pls help me I will mark the first one to say don't need explanation
Answer:
m = -1/3
Step-by-step explanation:
By using rise over run, the slope is going 1 down and 3 across.
Answer:
-63
Step-by-step explanation:
Marty's class collected $34.00 in a school-wide penny collection contest. If Tommy's class added $3.00 to the amount they
collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class.
2(x + $3.00)= $34.00
How much money did Tommy's class collect?
Ο Α.
$20.00
OB.
$17.00
O C.
$3.00
OD.
$14.00
Answer:
the answer that you are looking for is D
Step-by-step explanation:
The Tommy's class collect the amount of 14 dollar.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.
We need to find the solutions of the equation 2(x + $3.00)= $34.00 ;
Now solving for x;
2(x + $3.00)= $34.00
Open the bracket;
2x + 6 = 34
Combine the like terms;
2x = 34 - 6
2x = 28
x = 14
Therefore, the equation 2(x + $3.00)= $34.00 has only one solution which is 14.
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Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
3(s + 4) = 30 what the value of s
Answer:
s=6
Step-by-step explanation:
Hope this helps :)
The value of s for the given expression 3(s + 4 = 30 will be 6.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
3(s + 4) = 30
Divide both sides by 3
s + 4 = 10
Subtract both sides by 4
s + 4 - 4 = 10 - 4
s = 6
Hence "The value of s for the given expression 3(s + 4 = 30 will be 6".
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Select the correct answer pls!!
The population of deer in a forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 percent per year.
Based on this prediction, about how many years will it take for the population to double in size?
Use the equation P = P.(1 + r)
in which Po represents the initial population size, rrepresents the growth rate, trepresents the number
of years, and Prepresents the final population size.
A.
5.0 years
B.
1.8 years
OC. 0.3 year
OD.
3.8 years
Answer:
35 years
Step-by-step explanation:
Given that:
Current deer population, P0 = 800
Growth rate = 20% yearly
For the population to double in size, P = 2 * P0 = 2 * 800 = 1600
t = number of years
Using the relation :
P =P0(1 + r)^t
1600 = 800(1 + 0.2)^t
1600 / 800 = (1.02)^t
2 = (1.02)^t
t = log2 / log(1.02)
t = (0.3010299 / 0.0086001)
t = 35.003069
t = 35 years
Answer:
3.8
Step-by-step explanation:
please help a girl out I'm so confused
Answer:
first pays 60
Step-by-step explanation:
Please help me! image is below
Answer:
42.9m but im not really sure about it and I can't explain exactly how I did it because I'm german and my english is not that good.
3x+16=7x
answer please
Answer:
x = 4
Step-by-step explanation:
We have the algebraic expression 3x + 16 = 7x and are asked to solve.
When we need to solve for x, we need to get x alone always.
So 3x + 16 = 7x.
Subtract 3x from both sides :
16 = 4x
Divide 4 from both sides :
x = 4
Answer:
[tex] \large \boxed{x = 4}[/tex]
Step-by-step explanation:
Goal
Solve for x-term.Given
Equation[tex]3x + 16 = 7x[/tex]
Step 1
Combine like terms. We move 3x to subtract 7x since we can't add with a constant with a variable.[tex]16 = 7x - 3x \\ 16 = 4x[/tex]
Step 2
Move 4 to divide 16 because we need to make x-term as the subject of equation.[tex] \frac{16}{4} = x \\ 4 = x[/tex]
Step 3
If you are not sure that the answer is correct, we can check the answer by substituting x = 4 in the equation.[tex]3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28[/tex]
The equation is true for x = 4. Hence, the solution is x = 4
4/9 x 15/8 answer the question and give the simplest form.
Need help and I need it fast plz
Answer:
The answer is b can i have brainliest
Step-by-step explanation:
Answer:
it's b :)
Step-by-step explanation:
Find the value of x pls help thank u so much
Answer:
7.81
Step-by-step explanation:
Answer:
[tex] \sqrt{66} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]BD = \sqrt{6 \times 5} = \sqrt{30} \\ \\ In \: \triangle ABD: \\ by \: pythagoras \: theorem : \\ \\ AD^2 = AB^2 + BD^2 \\ \\ {x}^{2} = {6}^{2} + {( \sqrt{30}) }^{2} \\ \\ {x}^{2} = 36 + 30 \\ \\ {x}^{2} = 66 \\ \\ x = \sqrt{66} [/tex]
Expand and simplify (2x+1)(x+3)
Answer:
2x^2+7x+3
Step-by-step explanation:
(2x+1)(x+3)
2x^2+x+6x+3
2x^2+7x+3
Express 543/1000 as a decimal
the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?
Answer:
Options (C), (D) and (E)
Step-by-step explanation:
Slope of the given line = [tex]\frac{1}{3}[/tex]
Any line having same slope will be parallel to the given line otherwise the lines will intersect.
Therefore, we will find the slope of the lines passing through two points given in the options.
Option A
Slope of the line passing through (12, -13) and (15, -12)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{-13+12}{12-15}[/tex]
= [tex]\frac{1}{3}[/tex]
Therefore, both the lines are parallel having no point of intersection.
Option B
Slope = [tex]\frac{-9+7}{18-24}[/tex]
= [tex]\frac{1}{3}[/tex]
Both the lines are parallel having no point of intersection.
Option C
Slope = [tex]\frac{-20+21}{15-18}[/tex]
= [tex]-\frac{1}{3}[/tex]
Therefore, both the lines will intersect.
Option D
Slope = [tex]\frac{-15+14}{30-36}[/tex]
= [tex]\frac{1}{6}[/tex]
Both the lines will intersect each other.
Option E
Slope = [tex]\frac{-11+10}{24-30}[/tex]
= [tex]\frac{1}{6}[/tex]
Both the lines will intersect each other at a point.
Options (C), (D) and (E) are the correct options.
Solve the proportion.
X/4=13/52
Answer:
THE ANS IS X=1
Step-by-step explanation:
X/4=13/52
BY CROSS MULTIPLY, WE GET
52X=4 into 13
52X=52
BY CUTTING,WE GET
X=1
THANKS AND MARKS AS BRAINLY
math work pls help :)
Answer:
C ASA
Angle side Angle.....
The cost of every college is expected to increase 3.5%
next year.
The cost to attend Westish College is currently $18000.
What is the expected cost to attend Westish College
next year?
Answer:
$18,630
Step-by-step explanation:
The cost of every college is expected to increase 3.5% next year.
The cost to attend Westish College is currently $18000.
What is the expected cost to attend Westish College next year?
The increase in the cost for next year is calculated as:
3.5 % × Current cost
= 3.5% × $18,000
= $630.
The expected cost to attend Westish college next year=
$18,000 + $630
= $18,630
Solve for side c if side a = 30ft and side b = 40ft
Answer:
50
Step-by-step explanation:
18 + x = 10 x=____ help
Answer:
X=-8
Step-by-step explanation:
18+x=10
-18 -18
x=-8
PLEASE HELP ME
Melinda, Meredith, John, Mark, Stan, and Max are sitting at a table. What
fraction of the students have names that begin with the letter ‘M'? *
O 1/4
O 2/3
O 1/2
O 4/5
I really need help on this it’s really urgent.
Thank you :)
Answer:
Step-by-step explanation:
[tex]-\frac{1}{3}y - \frac{1}{3} x[/tex]
2400 people attended a basketball game. 696 of the people attending supported the home team, while 1704 supported the visiting team. What percentage of people attending supported the home team?
Answer:
0.29 or 29 percent I put it on god
Step-by-step explanation:
The percentage of people attending supported the home team is 29%.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, 2400 people attended a basketball game. 696 of the people attending supported the home team, while 1704 supported the visiting team.
From the general formula of percentage:
percentage = value/ total value * 100
Since, Out of 2400 only 696 supported the home team
thus,
Percentage = 696/2400*100
Percentage = 29%
Therefore, 29% percentage of people attending supported the home team.
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PLEASE HELP :))
3
Solve for x.
6
12
5
r-1
Answer:
12 is the answer
Step-by-step explanation:
12 is the answer
here answer it pls but serious answers
Answer:
Step-by-step explanation:
1/4 , 1/10 2/3 2/5
A washer and dryer cost $711 combined the washer cost $61 more than the dryer what is the cost of the dryer
Answer:
$325
Step-by-step explanation:
Let the dryer be x and the washer be y
x+y= 711---------1
y= x+61-----------2
put y= x+61 in 1
x+x+61= 711
2x+61= 711
2x= 711-61
2x=650
x= 650/2
x=325
Hence the dryer cost $325
WORTH 20 POINTS
please help me I really need help
Answer:
18.4
Step-by-step explanation:
9.2 + 9.2 = 18.4
Iona and Jamey have lunch at a bistro. The bill totals $29.75, and they leave their server a 24% tip. How much total money do they pay?
Answer:
$36.89
Step-by-step explanation:
Given data
Totals $29.75
tip= 24% tip
=24/100*29.75
=0.24*29.75
=7.14
In all the bill is 7.14+29.75
=$36.89