Step-by-step explanation:
In most cases, you'll need a down payment of 20% – 25% to qualify. If you have a credit score that's higher than 720, you may qualify for an investment property loan with 15% down. FHA loan: You cannot use an FHA loan to buy an investment property.
Order of operations. Need to find the unknown number. Help?
8 + 2 x 5 = m
9 - 7 + 2 = k
7 x 8 - 6 = g
16 + 4 divide 2 = s
12 - 6 divide 2 = y
36 divide 6 + 13 = f
Answer:
m = 18
k = 4
g = 50
s = 18
y = 9
f = 19
Step-by-step explanation:
Please answer ASAP!!!!!!!
Answer:
B is the correct answer
Step-by-step explanation:
just did this problem
A tank is filled with 1000 liters of pure water. Brine containing 0.08 kg of salt per liter enters the tank at 6 liters per minute. Another brine solution containing 0.09 kg of salt per liter enters the tank at 5 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 11 liters per minute.
A. Determine the differential equation which describes this system. Let SG) denote the number of kg of salt in the tank after t minutes. Then ds/dt=_____.
B. Solve the differential equation for S(t).
Answer:
The answer is below
Step-by-step explanation:
Let s(t) represent the amount of salt in the tank at time t. Therefore:
ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)
[tex]\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:[/tex]
[tex]ln(930-11s)= - \frac{11t}{1000}+A\\\\Take \ exponential:\\\\930-11s=e^{ - \frac{11t}{1000}+A}\\\\930-11s=C_1e^{ - \frac{11t}{1000}}\\\\11s=930-C_1e^{ - \frac{11t}{1000}}\\\\s=\frac{930-C_1e^{ - \frac{11t}{1000}}}{11} \\\\To \ find\ C_1,s(0)=0.Hence:\\\\0=\frac{930-C_1e^{ - \frac{11(0)}{1000}}}{11} \\\\0=930-C_1\\\\C_1=930\\\\s(t)=\frac{930-930e^{ - \frac{11t}{1000}}}{11} \\\\s(t)=930(\frac{1-e^{ - \frac{11t}{1000}}}{11})[/tex]
A) So, the required value is [tex]1.01-\frac{11S}{1000}[/tex].
B) The required value is [tex]\frac{1010}{11} (1-e^{-11/1000t} )[/tex]
Differential Equation:A differential equation is an equation that contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable).
[tex]\frac{dy}{dx} =f(x)[/tex]
(A) Let [tex]S(t)[/tex] denotes the number of kg of the salt in the tank at the time [tex]t[/tex] minutes.
Then,
[tex]\frac{ds}{dt}=[/tex](rate of salt in to tank)-(rate of salt of tank)
[tex]\frac{ds}{dt}=\left ( 0.08\times 0.09\times 5 \right )-\left ( \frac{s\left (t\right )}{1000}\times 11 \right ) \\ \therefore \frac{ds}{dt}=1.01-\frac{11S}{1000}[/tex]
(B)
[tex]\frac{ds}{dt}=\frac{101}{100}-\frac{11S}{1000} \\ \Rightarrow \frac{ds}{dt}=\frac{1010-11S}{1000} \\ \Rightarrow \frac{ds}{1010-11S}=\frac{dt}{1000}[/tex]
Integrating we get,
[tex]-\frac{1}{11}I_n|1010-11S|=\frac{t}{1000}+In \ C_1 \\ \Rightarrow 1010-11S=C_1e^{-11/1000t} \\ S(t)=\frac{1010-C_1e^{-11/1000t}}{11}[/tex]
Initially, [tex]S(0)=0\\\Rightarrow C_1=1010[/tex]
Then the required solution is,
[tex]\therefore S(t)=\frac{1010}{11} (1-e^{-11/1000t} )[/tex]
Learn more about the topic of Differential Equation: https://brainly.com/question/24546081
40 points please help!! I will mark brainliest! Random answers will be reported
Answer:
B. Yes, SASStep-by-step explanation:
Given
PS ≅ RQPR ≅ RP∠SPR ≅ ∠QRPThe two sides and the included angle - SAS
Correct option is
B. Yes, SAS5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
Answer:
the minimum number of bits needed for quantization is 7
Step-by-step explanation:
Given the data in the question;
if quantization is Δv, then the maximum quantization Error is Δv/2
now if we split up the whole range from -[tex]m_{p}[/tex] to [tex]m_{p}[/tex] evenly into L levels, so
Δv = [tex]2m_{p}[/tex] / L
Δv / 2 = [tex]m_{p}[/tex] / L
given that the error must be at most 1% of [tex]m_{p}[/tex],
1%[tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
1/100 × [tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
100 = L
now L must be a factor of 2 to be binary encoded,
so lets consider;
L = 128
2ⁿ = 128¹
2ⁿ = 2⁷
n = 7
Therefore, the minimum number of bits needed for quantization is 7
Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?
Answer:
b
Step-by-step explanation:
Multiply. Write the answer in simplest form. 1/5 . 2/9
2/45 in simplest form
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 6.
Event B: The sum is an even number.
Round your answers to two decimal places.
I need the answers fast .
You randomly draw a marble from a bag of marbles that contains 3 blue marbles, 4 green marbles, and 5 red
marbles.
What is P(draw a blue marble)?
Classify each statement about the function f(3) = 323 +6 as true or false.
Answer:
true.
false
true.
false.
Step-by-step explanation:
1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it not to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.
2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.
3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.
4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.
-y = 3(-x)³ + 6 now lets see what happens it we let x = 2
For the original equation: y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30
Now we try the test equation: -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18
So -y = -18
So y = 18
The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.
Thus, the origin is not a point of symmetry. False.
I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.
The Domain = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry.
Domain, range, and y-interceptGiven the function [tex]f(x)=3x^3 + 6[/tex]
Domain and range are the value of input and output that the function exists.
For the given function, the domain and range exist on all real numbers.
Domain = (-∞, ∞) and Range = (-∞, ∞)
The y-intercept occur at (x) = 0
g(0)= 3(0)^3 + 6
g(0) = 6
Hence the Domain = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry. False.
Learn more on range and domain here: https://brainly.com/question/2264373
Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes straight ahead (A). The experiment terminates as soon as a car is observed to turn left. Let X = the number of cars observed. What are possible X values? List five different outcomes and their associated y values.
Answer:
Outcomes are { L, RL, AL, RAL, ARL }
Associated X values are { 1, 2, 2, 3, 3 }
Step-by-step explanation:
As given,
left = (L),
right = (R)
goes straight ahead = (A)
Now,
The Sample space become = { L, RL, AL, RAL, ARL }
In L -
Number of cars = 1
In RL-
Number of cars = 2
In AL-
Number of cars = 2
In RAL-
Number of cars = 3
In ARL-
Number of cars = 3
Katy invests £200 000 in a savings account for 4 years. The account pays compound interest
at a rate of 1.5 % per annum.
Calculate the total amount of interest Katy will get at the end of 4 years
Answer:
212272.71
Step-by-step explanation:
we have the following equation (for interesting that compound yearly)
PV(1+i)^n
200000(1+.015)^4
212272.71
The total amount of interest Katy will get at the end of 4 years is £12,272.71
Compound interestCompound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interestCompound interest refers to the phenomenon whereby the interest associated with a bank account, loan, or investment increases exponentially—rather than linearly—over time.Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periodsHow to solve this problem?The steps are as follow:
Given:p = £200 000
r = 1.5%
n = 4 years
Formula to find Amount (A) after 4 years will as follow:A = p(1+r/100)ⁿ
A = 200000(1+1.5/100)⁴
A = 212,272.71 £
The compound interest is given by:C.I. = A - p
C.I. = 212,272.71 - 200,000
C.I. = £12,272.71
So the total amount of interest Katy will get at the end of 4 years is £12,272.71
Learn more about Compound interest here:
https://brainly.com/question/24924853
#SPJ2
PLEASE HELP I WILL GIVE BRAINLEST!!
Answer:
8 1/8
Step-by-step explanation:
I used a calculator....
(hope this helps :P)
Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8.
Answer:
x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i
Step-by-step explanation:
Which of the following is not true about the boundary line in the graph of a linear inequality in two variables?
A. The points on the boundary line are always solutions to the linear inequality.
B. The boundary line separates the ordered pair solutions to the inequality from the ordered pairs that are not solutions to the inequality.
C. A solid line is used when the inequality is non-strict ( ≤ or ≥ ).
D. A dashed line is used when the inequality is strict ( < or > )
D. A dashed line is used when the inequality is strict ( < or > )
A linear inequality in two variables is obtained by taking a linear equation in two variables, and replacing the equality sign with any one of the four inequality signs: <,>,=<,>=.
The graphed region of points satisfying the inequality is always half of the plane bounded by the corresponding line.
When the inequality is [tex]\leq[/tex] or [tex]\geq[/tex], the line is included. Otherwise, the line is excluded.
So, A dashed line is used when the inequality is strict ( < or > ) is not true about the boundary line in the graph of a linear inequality in two variables
Therefore, the correct option is D.
Learn more:https://brainly.com/question/15816805
Which graph represents the solution 2x - 5y <3
Answer:
There is no picture... But here is a representation of the inequality on a graph
The graph 2x - 5y < 3 cut the x-axis at the point (3,0) and the y-axis at the point (0,-0.6).
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given inequality is 2x - 5y <3. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When the inequality 2x - 5y < 3 is plotted on the graph it covers the region which is less than the line 2x - 5y < 3. The graph cut the x-axis at the point (3,0) and the y-axis at the point (0,-0.6).
The graph of the given inequality is attached with the answer below.
To know more about inequality follow
https://brainly.com/question/28511630
#SPJ5
Solve for x. Round measures to the nearest tenth
There can be more than 1 answer btw :)
Answer:
A and D
Step-by-step explanation:
is 25/4 a rational number
Answer:
No.
Because,24/4=5.25
Answer:
Yes
Step-by-step explanation:
All rational numbers have endings. Since 25/4=6.25 it is rational
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
105
Step-by-step explanation:
A straight line is 180 degrees so 180-75=105
Answer:
x= 105 degrees
Step-by-step explanation:
We know that the sum of x and 75 degrees is equal to 180 degrees.
So that means that x= 180-75 or x=105 degrees
anyone?............
[tex] \frac{132 }{2?} = 66[/tex]
Kevin has 1,066 trading cards. Each album holds 26 cards. How many albums does Kevin need to hold all his cards?
Answer:
41
Step-by-step explanation:
Ok so you would divide 1,066 by 26 which would equal 41. Have a great day!
9 1/4- 2 5/8 in simpilest form
Answer:19.625
Step-by-step explanation:
Mr. Quick bought a new computer system. The regular price was $1850, but he got a 15% discount. How much did he pay?
Answer:
the price Mr. Quick paid is=$1343
I think I can help you with this
you can easily solve this by using a rule of three
Step one
find the discount value if
$1580⇒ 100%
$x? ⇒ 15%
do the relation
the discount is $237
the price Mr. Quick paid is
the price Mr. Quick paid is=regular price - discount
the price Mr Quick paid is=$1580-$237
the price Mr Quick paid is=$1343
I hope it helps, Have a great day!!! :)
Step-by-step explanation:
If you make x dollars per hour and you work 8 hours, how much money will you make?
Add and
subtract fraction. X+5=23
Math nation. I need help, please.
Answer:
Step-by-step explanation:
Draw a picture! You get a right triangle with vertical leg = 17,000 ft, and you want to find the hypotenuse.
sin(21°) = 17,000/hypotenuse
hypotenuse = 17,000/sin(21°) = 47,437.3 ft
SOMEONE HELP I NEED TO PASS
If $700 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is Ant 700(1.03)^t.
Required:
a. Find the average rate of change per year of the total amount in the account for the first four years of the investment (from t= 0 to t= 4).
b. Find the average rate of change per year of the total amount in the account for the second four years of the investment (from t=4 to t=8)
c. Estimate the instantaneous rate of change for t =4.
d. The average rate of change per year of the total amount in the account for the first years of the investment â(from t= 0 to t=4â) is ___________â$
e. The average rate of change per year of the total amount in the account for the second years of the investment â(from t= 0 to t=4â) is_____________ â$
f. The instantaneous rate of change for t=4 is about â$_____________
Answer:
21.96 ; 24.72
Step-by-step explanation:
Given that :
Give the equation:
A(t) = 700(1.03)^t
A.)
Average rate of change over the first 4 years ;
(t=0 to t=4)
At t = 0
A(0) = 700(1.03)^0 = 700
A(1) = 700(1.03)^1 = 721
A(2) = 700(1.03)^2 = 742.63
A(3) = 700(1.03)^3 = 764. 9089
A(4) = 700(1.03)^4 = 787.856167
[(721 - 700) + (742.63 - 721) + (764.9089 - 742.63) + (787.856167 - 764.9089)] / 4
= 87.856167 / 4
= 21.96404175
= 21.96
Over the 2nd 4 years :
A(4) = 700(1.03)^4 = 787.856167
A(5) = 700(1.03)^5 = 811.49185201
A(6) = 700(1.03)^6 = 835.8366075703
A(7) = 700(1.03)^7 = 860.911705797409
A(8) = 700(1.03)^8 = 886.73905697133127
[(811.49185201 - 787.856167) + (835.8366075703 - 811.49185201) + (860.911705797409 - 835.8366075703) + (886.73905697133127 - 860.911705797409)] / 4
= 98.88288997133127 / 4
= 24.72
Wilma has 28 coins, all nickels, and dimes worth $2.05. How many nickels does she have?
Answer:
15 nickels and 13 dimes
Step-by-step explanation:
5n + 10d = 205 cents
n + d = 28
n = 28-d
5(28-d) +10d = 205
140 -5d + 10d = 205
5d = 65
d = 13
n = 28-d = 28-13 = 15
5n = 5(15) = 75
10d = 10(13) = 130
75+130=205