The total interest paid for the period of three months will be $5225 on the loan amount of $450000.
What is interest?
The interest is the charges levied on the amount which we borrow from any bank for a particular period of time.
Here in the question given data is
P= $450000
R=2.2%+2.8%=5%
T=1/4 years or three months
So from the simple interest formula
[tex]\rm SI=\dfrac{P\times R\times T}{100}[/tex]
[tex]\rm SI=\dfrac{450000\times 5\times 1}{100\times 4}[/tex]
[tex]\rm SI= \$5625[/tex]
Hence the total interest paid for the period of three months will be $5225 on the loan amount of $450000.
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P varies inversely with Q, and P=12 when Q=8. Find P when Q=3.
Answer:
32
Step-by-step explanation:
Given :
P ∝ Q⁻¹ or P ∝ 1/QFinding the propotionality constant
P = k/Q12 = k/8k = 12 * 8 = 96Finding P in Case (ii)
P = k/QP = 96/3P = 32pls help me find the answer to this i am working out on it but am confused also giving brainly no links pls.
Answer:
5/72
Step-by-step explanation:
I am pretty sure its right
The length of a rectangle is 9 ft and width is 7 ft. Find its perimeter and area
Answer:
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²Step-by-step explanation:
Given :-
Length of rectangle = 9 feet Width of the rectangle = 7 feetTo Find :-
Perimeter and areaSolution :-
We know that,
Perimeter of rectangle = 2(L + W)Substituting the values, we get:
↠ Perimeter = 2(9 + 7)
↠ Perimeter = 2(16)
↠ Perimeter = 32 feet
Now,
Area of rectangle = Length × WidthSubstituting the values, we get:
↠ Area = 9 × 7
↠ Area = 56 ft²
Hence,
Perimeter of rectangle = 32 feet Area of rectangle = 56 ft²Choose the phrase that correctly completes this sentence.
Taking out a loan is like ____________________.
I will make someone the BRAINLLYEST
what is this and i will
Answer:
42 (d)105 (i)solve for c
x^(2)+12x+c
Answer:
14x+c
Step-by-step explanation:
I hope it's to help
Classify the triangle shown below. Check all that apply.
Answer:
A and B
Step-by-step explanation:
A. Since 2 angles are congruent you know that there has to be 2 equal sides
B. It has an obtuse angle which is 100 degrees.
C. Triangle has 2 congruent sides so this is incorrect
D. Not all sides are equal
E. Not all angles are acute
F. None of the angles are 90 degrees
A salesperson earns 7.5% commission on each vehicle sold. What price
must he sell a vehicle for in order to earn a commission of at least $3,000?
What is the measure of m?
Answer:
<M = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180. 52+ 78+x = 180. Combine like terms. 130 +x = 180.
The value of m for the given combination of two right-angle triangles will be 7√5.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
In the bigger right-angle triangle suppose the missing length is x.
By Pythagora's theorem,
(28 + 7)² = x² + m²
x² = 35² - m² (1)
In the smaller right-angle triangle,
x² = 28² + n² (2)
By comparing equations (1) and (2).
35² - m² = 28² + n²
m² + n² = 35² - 28²
In the smallest right-angle triangle,
m² = n² + 7²
n² = m² - 7²
By substitution,
m² + m² - 7² = 35² - 28²
2m² = 35² - 28² + 7²
m² = 245
m² = 7² x 5
m = 7√5.
Hence "The value of m for the given combination of two right-angle triangles will be 7√5".
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last time, TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.
Answer:
I just answered these with your most recent post.
The population of Sheffield is 690,000 to the nearest thousand and the population of Nottingham is 730,000 to the nearest 1000.
Calculate the upper and lower bounds for the difference in population between Sheffield and Nottingham.
Please answer with clear instructions so that i can apply this to other questions
Answers:
lower bound = 39001
upper bound = 40999
========================================================
Explanation:
You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.
It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.
Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.
-------------------
Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:
730,499 - 689,500 = 40,999
This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.
---------------------
On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:
729,500 - 690,499 = 39,001
This is the lower bound. It's the smallest the difference can be. It's considered the floor.
----------------------
Let d be the difference in the populations. In other words, d = y-x
We found that the lower bound was 39,001 and the upper bound was 40,999
Meaning that
[tex]39,001 \le y-x \le 40,999[/tex]
or
[tex]39,001 \le d \le 40,999[/tex]
Use the function f(x) = x2 − 2x 8 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 2 5 7 12
The difference between the maximum value of g(x) and the minimum value of f(x) is 5.
Given function is:
[tex]f(x)=x^{2} -2x+8[/tex]......(1)
What is the general form of a quadratic equation?The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].
As we know the minimum value of a quadratic function is [tex]\frac{4ac-b^{2} }{4a}[/tex] when a>0
For f(x) a>0 so minimum value of f(x) = [tex]\frac{4*1*8-(-2)^2}{4*1}[/tex]=7
From the graph, the maximum value of g(x) =12
So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5
Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.
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Could someone please help me with this problem and give me an explanation on how to solve it?
Answer:
B
Step-by-step explanation:
(a^3/2) / a
= a^(1/2)
= √a
= B
Answer:
D. A ( a-1/2)
Step-by-step explanation:
Hello!!
You must cancel out the common factor or in this case, ( a3/2) on the top.
You will now have ( 3/2) which should then be simplified to ( 1 1/2) or in this case ( A- 1/2)
Hope this helped!. :)
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.
What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet
✰ Concept Used :-
⠀
In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.
⠀
✰ Given Information :-
⠀
Hypotenuse = 22 ft. Base = 10 ft.⠀
✰ To Find :-
⠀
The value of side or the perpendicular⠀
✰ Formula Used :-
⠀
[tex] \star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star [/tex]
⠀
✰ Solution :-
⠀
[tex]\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, option B. 19.60 ft. is the correct option.
⠀
[tex]\underline{\rule{230pt}{2pt}} \\ \\ [/tex]
Answer:
Answer is B
Step-by-step explanation:
PLEASEEEEEE HELP ME OUT
Answer:
[tex]x = 135(being \: opposite \: angles \: of \: a \: paralleogram)[/tex]
Step-by-step explanation:
x =135(being opposite angles of a parallelogram)
Please help only 2 questions please!! >_<.
Answer:
Edit:
7. Linear because the graph is a straight line with an x and y variable
8. Non-linear because the graph is not a straight line
Sorry for the confusion with my previous answer! I hope this helps!
Number 18. Please?!!!!
Answer:
The womans age is 25
mothers age is 50
Step-by-step explanation:
add those up and you get 75
Answer:
The woman is 25, and her mother is 50.
Step-by-step explanation:
The woman is half the mother's age.
That means the mother is twice the woman's age.
Let the woman's age be x
The mother's age is 2x.
The sum of the ages is 75.
x + 2x = 75
3x = 75
x = 25
2x = 2(25) = 50
Answer: The woman is 25, and her mother is 50.
A student clamied that the number -4 is not rational because it is not a ratio of two integers. Do you agree or disagree?
Answer:
I disagree.
Step-by-step explanation:
An integer is a whole number ranging from -2,147,483,648 to 2,147,483,647.
A ratio of two integers with -4 could be -4/1, so -4 is a rational number.
I agree.
Solution:Every single integer can be written as a fraction.Please remember that the set of integers includes negative numbers, zero, and positive numbers.In this case, we have a negative number (the minus sign in front of the number tells us it is negative).So, how can we write an integer as a fraction?Every integer can be written as a fraction with a denominator of 1.Therefore, the answer is:-4/1So, is 4 rational? Yes, because it can be written as a fraction.Hope it helps.
Do comment if you have any query.
How much should be invested at 7% compounded daily for 15 years to make $200,000?
The amount of money that should be invested at 7% compounded daily is $199,421.68.
How to calculate compound interest.Mathematically, compound interest is given by this formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where:
A is the future value.P is the principal.R is the interest rate.T is the time measured in years.n is the number of times compounded.Given the following data:
Future value = $200,000.
Interest rate = 7% = 0.07.
Time = 15 year.
Substituting the given parameters into the formula, we have;
[tex]200000=P(1+\frac{0.07}{365} )^{ 15}\\\\200000=P(1+0.00019)^{15}\\\\200000=P(1.00019)^{15}\\\\200000=1.0029P\\\\P=\frac{200000}{1.0029}[/tex]
P = $199,421.68.
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A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the
trapezold?
O 28 cm?
O 36 cm
45 cm?
O
90 cm?
Answer: 28 cm.
Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2. The work is done below:
b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.
5 + 9 x 4 / 2 = ?
Step 1 (Add): 5 + 9 = 14.
Step 2 (Multiply): 14 x 4 = 56.
Step 3 (Divide): 56 / 2 = 28.
Therefore, 28 cm is your answer.
Hope this helps! :)
questions in the picture below
Answer:
Answer is
a) 50%
b) 20%
c) 40%
Step-by-step explanation:
help! (pic below, choices r A or B!)
I WILL MARK BRAINLIEST
Answer:
C. $250
Step-by-step explanation:
-To find the unit rate you need to divide the Amount Earned by Time worked
-When you do this you get 6.25
-Then you multiply 6.25 by 40
-That equals 250 and therefore the answer is C
Consider the following incomplete deposit ticket: what was art’s total deposit? a. $1,701.23 b. $1,545.83 c. $1,856.63 d. $1516.35
Total deposite is the resultant amount we deposite. The total deposite that Art made is given by: Option B: $1,545.83
How to get the resultant deposited amount?Resultant deposited amount = Deposited amount - The amount deducted.
We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.
Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.
The missing image of the deposite ticket is attached below.
From that image, we can see that:
Deposited amounts were: 13.50, 942.06, 75.53, 670.14 all in dollars.Deducted amount was: 155.40 dollarsThus, the net deposited amount is:
Net deposite = deposited amounts - deduced amounts
Net deposite = 13.50 + 942.06 + 75.53 + 670.14 -155.40
Net deposite = 1545.83 (in dollars).
Thus, the total deposite that Art made is given by: Option B: $1,545.83
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Answer:
B
Step-by-step explanation:
What is the value of z so that -3 and 3 are both solutions of x2 + z = 25?
0 41
016
09
o 22
Answer:
I think it is B (16)
Step-by-step explanation:
I AM GIVING AWAY BRAINLIEST AND POINTS TO WHOEVER ANSWERED! PLEASE HELP!
The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.
Draw a rhombus with the diagonals.
4 right triangles are formed.
The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).
The diagonals of a rhombus bisect each other. This means that they cut each other in half.
So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the
rhombus).
Triangle 1. ABC
side a = 2.5, side b = 1
tan A = a/b = 2.5/1 = 2.5
tan A = 2.5
tan 68.2 deg = 2.5
Since, angle C = 90 and angle A = 68.2
angle B = 21.8 deg. (180 - (90 + 68.2))
Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.
Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.
Therefore, the opposite corners are
180 - 136.4 = 43.6 and
180 - 43.6 = 136.4.
So, the four angles are,
136.4, 43.6, 136.4, and 43.6----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you"
B.B.King
Thanks!
Have a great day!
Mark me brainliest too!
~ms115~
use the distribute propty to write an expression that is equlavent to 8
Answer:
8(a+4)=8a+32
Step-by-step explanation:
Solve for x. round to the nearest tenth.
37°
x
48
Answer:
1.3
Step-by-step explanation:
To find what x equals, you need to first divide by 48 and 37.
This is because that x is being multiplied by 37.
48 ÷ 37 = 1.297.......
The 97 in 1.297 is repeating and goes on forever.
Rounding the the nearest tenth would create the number 1.3 as the correct answer.
which of the following is a polynomial function in factored from with zeros at 0, -3, and 4?
The answer would be: f(x) = x(x + 3)(x – 4)
please help I can't find the mean
Answer:
add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
0 + 5 + 6 + 7 + 7 = 25
25/5 = 5