Answer:
You can afford $1,000 per month as a house payment.
You can get a home loan at 5.3% interest for 15 years (paid monthly).
Then, after 15 years, the price of house that you can afford would be:
A x (1 + (5.3/100)/12)^(12 x 15) = 2.2 x A
With payment of 1000$ per month in 15 years, then we have
2.2 x A = 1000 x 12 x 15 = 180000
=> The price of house that you can afford now, would be:
A = 180000/2.2 = 81818.2$
Hope this helps!
:)
what is the circumference of this circle?
Answer:
12π
Step-by-step explanation:
C = Dπ
C = 12π
Answer:
37.68
Step-by-step explanation:
Trust me
Make me brainleist
Simplify the expression by combining like terms. Write the terms in alphabetical order of the variables.
X+20y-2z+19x-2y+19z
Answer: [tex]20x+18y+17z[/tex]
Step-by-step explanation:
[tex]x+20y-2z+19x-2y+19z\\(x+19x)+(20y-2y)+(-2z+19z)\\20x+18y+17z[/tex]
A public health researcher examines the medical records of a group of 937 men who died in 1999 and discovers that 210 of the men died from causes related to heart disease. Moreover, 312 of the 937 men had at least one parent who suffered from heart disease, and, of these 312 men, 102 died from causes related to heart disease. Calculate the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease. (A) 0.115 (B) 0.173 (C) 0.224 (D) 0.327 (E) 0.514
Answer:
The correct option is (B) 0.173.
Step-by-step explanation:
The law of total probability states that:
[tex]P(A)=P(A\cap B)+P(A\cap B^{c})[/tex]
The conditional probability of an event A given that another event B has already occurred is:
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]
Then the probability of intersection of A and B is:
[tex]P(A\cap B)=P(A|B)\cdot P(B)[/tex]
Denote the events as follows:
H = a man died from causes related to heart disease.
X = a man had at least one parent who suffered from heart disease
The information provided is:
[tex]P(H)=\frac{210}{937}\\\\P(X)=\frac{312}{937}\\\\P(H|X)=\frac{102}{312}[/tex]
The probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is, [tex]P(H|X^{c})[/tex].
Compute the value of [tex]P(H|X^{c})[/tex] as follows:
[tex]P(H)=P(H|X)\cdot P(X)+P(H|X^{c})\cdot P(X^{c})[/tex]
[tex]\frac{210}{937}=[\frac{102}{312}\cdot \frac{312}{937}]+[P(H|X^{c})\cdot (1-\frac{312}{937})]\\\\\frac{210}{937}-\frac{102}{937}=[P(H|X^{c})\cdot \frac{625}{937}]\\\\\frac{108}{937}=P(H|X^{c})\cdot \frac{625}{937}\\\\P(H|X^{c})=\frac{108}{937}\times \frac{937}{625}\\\\P(H|X^{c})=0.1728\\\\P(H|X^{c})\approx 0.173[/tex]
Thus, the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is 0.173.
The correct option is (B).
Is it true that (x^2–3x+2)/(x –1) = x – 2, for all values of x? Justify your answer.
Answer:
x²-3x+2=0
x²-2x-x+2=0
(x²-2x)(-x+2)=0
x(x-2)-1(x-2)=0
(x-2)(x-1)=0
x-2=0 or x-1=0
x=2 or x=1
Evaluate 2x^3 + 5x^2 + 4x + 8 when x = -2
Answer:
4Step-by-step explanation:
Given the function 2x³ + 5x² + 4x + 8. In order to evaluate the value of the function at x = -2 we will substitute the value of x given into the function as shown;
F(x) = 2x³ + 5x² + 4x + 8
at x = -2
f(-2) = 2(-2)³ + 5(-2)² + 4(-2) + 8
f(-2) = 2(-8) + 5(4) +(-8) + 8
f(-2) = -16+20-8+8
f(-2) = -16+20
f(-2) = 4
The value of the function when x = -2 is 4
please help with this
Answer:
Width = 3x^2 + 5
Step-by-step explanation:
Area = Length*Width
(6x^2+10)=2*Width Divide both sides by 2
3x^2+5 = Width
Answer:
3x^2 +5
Step-by-step explanation:
Take the pink area 6x^2 and divide by 2
6x^2/2 = 3x^2
Take the blue area and divide by 2
10/2 = 5
Add them together to find the width
The width is 3x^2 +5
please help meee it has time limit
Answer:
It is boxes of cereal and bags of pretzels.
Step-by-step explanation:
Boxes of cereal costs $3.95 per box and pretzels cost $3.59 per bag. This is because 15.8÷4= $3.95 and 10.77÷3= $3.59
Kira unravels a shirt to get blue thread. From each centimeter (cm) of the shirt, Kira gets 231 cm of thread. She unravels 7cm of the shirt.
How much thread does Kira get ?
Answer:
1617 cm of thread.
Step-by-step explanation:
We are told that the equivalence would be that for each cm of shirt Kira gets 231 cm of thread, therefore it would be:
231 cm thread / 1 cm shirt
they tell us that she managed to remove 7 cm of shirt, therefore:
7 cm shirt * 231 cm thread / 1 cm shirt = 1617 cm thread
Therefore Kira obtained 1617 cm of thread.
Answer:
Kira gets 1,617
Step-by-step explanation:
In Khan word problems 4 grade divsion TRUST ME I GOT IT RIGHT!! THANK U
Simplify to create an equivalent expression.
8(10 - 6q) + 3(-7q - 2)
Answer:
27q + 74
Step-by-step explanation:
=80 - 48q -21q - 6
=27q + 74
Which of the ratios below is equivalent to 1:3? Select all that apply.
A) 4:12
B) 6:18
C) 6:2
D) 8:24
E) 5:8
Answer:
[tex] \: \: \: \: \: 1 : 3 \\ = 4 : 12 \\ = 6 : 18 \\ = 8 : 24 \\ [/tex]
hope this helps
Answer:
Answer:
4:12
6:18
8:24
hope this helps
Step-by-step explanation:
Data was collected for 226 randomly collected 10 minute interval. For each Tim and I are in a rule the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below
What is the width for this GFDT?
Number of guest. Frequency
60-64. 57
65-69. 39
70-74. 7
75-79. 36
80-84. 87
Answer:
The class width of this grouped frequency distribution (GFDT) = 5.
The total width of the distribution = 25, that is, from 60 to 84.
Step-by-step explanation:
The class width of a GFDT (grouped frequency distribution) is obtained by dividing the range by the number of classes required and then rounding up.
Note that rounding up is different from rounding off as 4.2 is rounded up to 5 and rounded off to 4.
The class width is the span of each of the class in the grouped frequency distribution.
For this distribution,
Maximum value = 84
Minimum value = 60
Range = (Maximum value) - (Minimum value) = 84 - 60 = 24
Number of classes required = 5
Class width = (24/5) = 4.8 = 5 (rounded up).
The total width of the distribution is given as
Total width = Range + 1 = 24 + 1 = 25.
Hope this Helps!!!
Multiple choice question for geometry
Answer:
The first option
Step-by-step explanation:
You need to find the average of the y-coordinates because you are looking for the y-value of the midpoint
Answer:
The first one
Step-by-step explanation:
Hope this helped