Given :
Price of property , P = $145000 .
Money paid off in two ways a short term note at 11% interest and a long term note at 8% interest.
Total interest , I = $13850 .
To Find :
The amount of each note .
Solution :
Let , x money is paid off in 11 % interest rate and ( 145000-x) in 8% interest rate.
Therefore , their sum of interest in mathematics is given by :
[tex]\dfrac{11x}{100}+\dfrac{8(145000-x)}{100}=13850\\\\11x+1160000-8x=1385000\\\\3x=225000\\\\x=\$75000[/tex]
Therefore , the amount of note is $75000 and $70000 for 11% and 8% interest rate respectively .
Hence , this is the required solution .
If the man has 20 dollars in his bank account and spends 2 dollars a day on coffee. How much money will he have in his account after 3 days?
Consider the experimental situation described below. Ability to grow in shade may help pines in the dry forests of Arizona resist drought. How well do these pines grow in shade? Investigators planted pine seedlings in a greenhouse in either full light or light reduced to 5% of normal by shade cloth. At the end of the study, they dried the young trees and weighed them. Identify the experimental unit(s) or subject(s). (Select all that apply.)
Answer:
Pine tree seedlings
Step-by-step explanation:
An experimental unit refers to the subject or factor under investigation. The subject or factor is subjected to different treatments in the course of the study. In the case of the experimental situation described above, the pine tree seedlings are the experimental units that actually received the treatments.
The treatments included being subjected to full or reduced light in the greenhouse. The response of the seedlings to these treatments would determine the outcome of the study.
What is the perimeter of rectangle EFGH?
Answer:
But where are the rectangles??
Simplify 2-1 + 5* 4 + 11
Answer:32
Step-by-step explanation:firs we multiply 5*4 =20 .then we subtract 2-1=1 add those numbers 20+1=21 and then add 11 which equals 32
1. Round the following number to the underlined place value.
492,205
Answer:
If the 4 is underlined its 500,000
if its the 9 then its 490,000
if its the first 2 then its 492,000
if its the second 2 its 492,200
if its the 0 then its 492,200
Step-by-step explanation:
Combine the sentences into one sentence.
The zookeeper cleans the habitat.
The habitat belongs to the monkeys.
IM SEEING IF THIS WEBSITE ACCUTALLY WORKS
Answer:
The zookeeper cleans the monkeys habitat
Answer:
The zookeeper cleans the habitat that belongs to the monkeys.
Step-by-step explanation:
A make-your-own ice pop kit says to pour 4 fluid ounces of juice into each bag. How many ice pop bags can you fill with 1 quart of juice?
Answer: 8 bags.
Step-by-step explanation:
It is given that, a make-your-own ice pop kit says to pour 4 fluid ounces of juice into each bag.
We need to find the number of ice pop bags we can fill with 1 quart of juice.
We know that,
1 quart = 32 ounces
We have 32 ounces of juice and each bag contains 4 fluid ounces.
[tex]\text{Number of ice pop bags}=\dfrac{\text{Total juice}}{\text{Juice contained in each bag}}[/tex]
[tex]\text{Number of ice pop bags}=\dfrac{32}{4}[/tex]
[tex]\text{Number of ice pop bags}=8[/tex]
Therefore, 8 ice pop bags we can fill with 1 quart of juice.
Answer:
8 bags
Step-by-step explanation:
Which of the following variables are categorical?
I. Driver ID
II. Age
III. Car
IV. Gender
Answer: IV. Gender
Step-by-step explanation:
A categorical variable is a variable that has two or more categories.
Driver ID consists of numbers and alphabet and it has no category.
Age is expressed in numbers , it cannot be categorical.
Car has many types but not category.
Gender has mainly 2 categories as male and female (some times 3 if we include transgender)
So, Gender is a categorical variable.
So correct option is IV. Gender
Jesper Co begins its next year of operations with a Beginning Supplies balance of 1,400. The end of period count of inventory revealed an Ending Supply balance of 4,500. If COGS for the same period was 36,700, Purchases must have been what? 0 33.600 35.300 39.800 36.700
Answer:
Purchases= $39,800
Step-by-step explanation:
Giving the following information:
Beginning Supplies= 1,400
Ending Supply balance= 4,500
COGS= 36,700
To calculate the purchases, we need to use the following formula:
Purchases= COGS + desired ending inventory - beginning inventory
Purchases= 36,700 + 4,500 - 1,400
Purchases= $39,800
Write and solve an equation to answer the question.
How many people must attend the third show so that the average attendance per show is 3000?
9v=27 what the answer and solve
Answer:
V=3
Step-by-step explanation:
9v=27
You have to get v on its own so you have to do the inverse operation which in this case would be division, 9/9, what you do to one side you have to do to the other so 27/9
That’s would separate v from the other numbers and so V=3
9v=27
9v/9=27/9
V=3
Answer: v=3
Step-by-step explanation:
Simplifying
9v + -27 = 0
Reorder the terms:
-27 + 9v = 0
Solving
-27 + 9v = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 9v = 0 + 27
Combine like terms: -27 + 27 = 0
0 + 9v = 0 + 27
9v = 0 + 27
Combine like terms: 0 + 27 = 27
9v = 27
Divide each side by '9'.
v = 3
Simplifying
v = 3
Please answer question 11
Answer:
I'm pretty sure it's 4
Step-by-step explanation:
association property of addition involves well addition and that's what it shown in y+0=y
WhaT is the calculation of Add 3 and 8 than multiply by 9
(3+8)9
3+8=11
11x9
99
hope it helps!
Work your brain today y’all!! I had $3.00. My Mom gave me $10.00. My Dad gave me $30.00. I had another $17.00. How much did I have?
Answer:60
Step-by-step explanation:
Answer:
$60
Step-by-step explanation:
3+10+30+17
3+10=13
30+17=47
13+47=60
Matthew rode his bike 5/8 mile in 1/4 hour. What is the unit rate in miles per hour?
Answer:
The unit rate in miles per hour is 2.5 mph.
Step-by-step explanation:
Since Matthew rode his bicycle for 5/8 of a mile in a quarter of an hour, to determine the speed at which he was traveling we must perform the following calculation:
1/4 x 4 = 1 hour
5/8 x 4 = miles that would have been covered in one hour
20/8 of a mile would have been covered in one hour
20/8 = 2.5
2.5 miles would have been covered in an hour, with which his speed was 2.5 mph.
Suppose f(x) = 2(x + 1)2 and f(g(x)) = 2(2x + 4)2. What is g(x)?
Answer:
C
Step-by-step explanation:
Did the test and got it right.
The function g(x) = 2x + 3 if f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)² option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Suppose f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)². What is g(x)?
A.g(x) = x + 3
B.g(x) = x + 4
C.g(x) = 2x + 3
D.g(x) = 2x + 4
We have:
f(x) = 2(x + 1)²
Let take g(x) = 2x + 3
Find f(g(x))
f(2x + 3) = 2[(2x+3) + 1]²
= 2(2x + 4)² = f(g(x))
Thus, the function g(x) = 2x + 3 if f(x) = 2(x + 1)² and f(g(x)) = 2(2x + 4)² option (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
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Elijah decides to lease a $20,000 vehicle for two years. It is estimated that the car will be resold in two years at a price
of $12,841, The Interest being charged is 41%. What is the financing foo?
$12.23
$43.87
$56.10
$68.33
Answer:
$43.87
Step-by-step explanation:
Elijah has decided to lease her car for years. She will be earning lease rental on the car along with interest. The interest charges on the lease rentals is amortized at the lease interest rate. The lease interest rate for the vehicle is decided to be 41%.
Year 1 : $20,000 * 41% * 0.045 * .025 = $18.20
Year 2 : ($20,000 - $18.20) * 41% * 0.045 * 0.25 = $25.67
The sum of year 1 and year 2 is $43.87.
15. Food bill: $30
Sales tax: 5.5%
Tip: 15%
Ans:
30.
In the figure, ACDE is a parallelogram. ZEAB = 125°, ZCBD = 78° and
ZEFD = 76º. Find ZECD.
Answer:
81°
Step-by-step explanation:
let,
ZECD be x°
125°+78°+76°+x°= 360°{ the sum of angle of parallelogram is 360°}
or, 279°+x°= 360°
or, x°= 360°- 279°
or, x° = 81°
what is the relationship between integers and whole numbers
Hey there! I'm happy to help!
A whole number is a type of integer. Integers are numbers without fractions or decimals. They are can be positive or negative. Whole numbers are just the positive integers.
I hope that this helps! Have a wonderful day! :D
Answer:
Whole numbers are natural numbers, and integers are like whole numbers but with negative, and positive numbers.
Step-by-step explanation
Example:
Whole number= 0, 1, 2, 3, 4,...
Integer= -4, -3, -2, -1, 0, 1, 2, 3, 4...
Name all the segments in a triangle
Answer:
Every triangle has three medians, just like it has three altitudes, angle bisectors, and perpendicular bisectors. The medians of a triangle are the segments drawn from the vertices to the midpoints of the opposite sides. The point of intersection of all three medians is called the centroid of the triangle.
Step-by-step explanation:
if you could please mark brainliest i am trying to get to the next rank!
3/5a = 5 1/2 rational number equation
Answer:
a = 55/6
Step-by-step explanation:
Solving in steps:
3/5a = 5 1/23/5a = 11/2a = 11/2 : 3/5a = 11/2*5/3a = 55/6 or 9 1/6What’s the answer to (16-x)2?
Answer:
-x + 18
Step-by-step explanation:
just add 16 and 2. this is the furthest it can be simplified
What number is less than 6/9 of a dollar but greater than 0.45
Answer:
0.50
Step-by-step explanation:
to get both numbers in the same unit you have to change one, I'm changing 6/9
6 divided by 9 is ABOUT 0.6 so you can choose any numbr between 0.46 and 0.59
Q. A customer hands you three (3) five-dollar bills, five (5) quarters, and two (2) dimes to pay the
full amount for an item. How much does the item cost?
A. $15.45
B. $16.35
C. $16.20
D. $16.45
Answer:
The cost would be D. 16.45
Some people think that the behavior of the stock market in January predicts its behavior for the rest of the year. Let the explanatory variable be the percent change in a stock market index in January. Let the response variable be the percent change in the stock market index for the entire year. You have a data set with 50 cases (where each case is a calendar year). Based on this data, you have the following statistics: mean of the x-variable: 2.75% standard devation of the x-variable: 4.48% mean of the y-variable: 8.17% standard devation of the y-variable: 22.31% correlation between the two variables: 0.655 Suppose that the mean change in January is 10.81%. What is the predicted value of the change in the stock market index for the year
Answer:
1.95
Step-by-step explanation:
Formula for slope is = γ Sy/Sx
γ = Correlation, Sy = S.D. of Y value, Sx= S.D. of X value
Sy = 8.17% = 0.0817
Sx = 2.75% = 0.0275
γ = 0.655
Slope = 0.655 *(0.0817/0.0275)
Slope = 1.94595
Slope = 1.94595
Slope = 1.95
Therefore, the slope of the regression line is 1.95
What is m∠PTQ? a. 12 b. 40 c. 50 d. 140
HELP!!!
Answer:
B. 40°
Step-by-step explanation:
m<PTQ = (x + 28)°
m<RTS = (2x + 16)°
Angle PTQ and angle RTS are vertically opposite angles, therefore, m<PTQ = m<RTS
[tex] x + 28 = 2x + 16 [/tex]
Solve to find the value of x
[tex] x + 28 - 2x = 2x + 16 - 2x [/tex] (subtracting 2x from each side)
[tex] -x + 28 = 16 [/tex]
[tex] -x + 28 - 28 = 16 - 28 [/tex] (subtracting 28 from each side)
[tex] -x = -12 [/tex]
[tex] x = 12 [/tex] (dividing each side by -1)
Find angle PTQ:
m<PTQ = (x + 28)°
Plug in the value of x
m<PTQ = 12 + 28 = 40°
elizabeth and success buy books from 2 different book shop, elizabeth bought 4 books for £28, sucess bought 7 book for £63 who had a better deal
Answer:
Elizabeth got the better deal
Step-by-step explanation:
Elizabeth bought 4 books for £28 = £28/4 = £7 per book
Success bought 7 books for £63 = £63/7 = £9 per book
If it is a polynomial, name the polynomial:
2/3x^4 + 7
A) Binomial
B
Monomial
C
Trinomial
D
Not a polynomial
Answer:
should be a monomial
Step-by-step explanation:
because there is only one addition or subtraction sign.
Huntington\'s disease is an inherited autosomal dominant disorder that can affect both men and women. Imagine a couple has had seven children, and later in life, the husband develops Huntington\'s disease. He is tested and it is discovered he is heterozygous for the disease allele, Hh. The wife is also genetically tested for the Huntington\'s disease allele, and her test results show she is unaffected, hh. A.) What is the percent probability that the first child of this couple will have Huntington\'s disease? B.) What is the probability that any six of the seven children will have Huntington\'s disease?
Answer:
a) probability that the first child of this couple will have Huntington's disease is 1/2 = 50%
b) probability that any six of the seven children will have Huntington's disease is 0.05468 ( 5.468% )
Step-by-step explanation:
a)
Given that;
Hh ( diseased father) and hh (normal)
H h
h Hh hh
h Hh hh
therefore Hh ⇒ 2 and hh ⇒ 2
so here we can see that chances of getting Huntington's disease is 1 : 1
so probability that the first child of this couple will have Huntington's disease is 1/2 = 50%
b)
probability that 6 out of the 7 children will have Huntington's disease;
we use the expression
<P> = (n! / (S! × t!)) × p^S × q^t
where n! is total number of children factorial
S! is diseased number of children factorial
t! is healthy number of children factorial
p is probability of diseased children
q is probability of healthy children
so we substitute
<P> = (7! / (6! × 1!)) × 1/2^6 × 1/2^1
= (7 × 6! / (6! × 1!)) × 1/2⁶ × 1/2
= 7 × 1/64 × 1/2
= 0.05468
probability that any six of the seven children will have Huntington's disease is 0.05468 ( 5.468% )
The Huntington's disease.
As per the question, the disease is a rare inherited disease that is caused by the breakdown of the nerve cells of the brain. The disease has a broad impact on functional abilities and usually results in movement, thinking, and other disorders.
Thus the answer is the chance of the disease to a child is about 50% as it starts at age of 30 to 40. The chances of six children are 5.4%.
The disease is an inherited aspect of the body genes and the disorder s created is due to the diseases allele is heterozygous The results shows that the chances of the first child to have this disease will be 1/2 that is 50% and the chances if any six people out of seven that have this disease is about 5.46%Learn more about Huntington's disease.
brainly.com/question/8935079.
