Answer:
A. Interest = $1710
B. Monthly payment = $467.08
Step-by-step explanation:
Simple interest formula:
[tex]\sf A = P(1+rt)[/tex]
where:
A = final amountP = principalr = annual interest rate (in decimal form)t = time (in years)Given:
P = $9,500r = 9% = 0.09t = 2 yearsSubstitute given information into the formula:
[tex]\begin{aligned} \sf \implies A & = \sf 9500(1+0.09 \cdot 2)\\& = \sf 11210 \end{aligned}[/tex]
Interest = final amount - principal
= 11210 - 9500
= $1710
term = 2 years
1 year = 12 months
⇒ term = 2 × 12 = 24 months
Monthly payment = final amount ÷ months in term
= 11210 ÷ 24
= $467.08
So
[tex]\\ \rm\rightarrowtail I=\dfrac{PRT}{100}[/tex]
[tex]\\ \rm\rightarrowtail I=\dfrac{9500(2)(9)}{100}[/tex]
[tex]\\ \rm\rightarrowtail I=95(18)[/tex]
[tex]\\ \rm\rightarrowtail I=\$ 1710[/tex]
#B
Total months=24
Monthly payment:-
Principle+Interest/months9500+1710/2411210/24467.08≈467$) Neena buys books and puzzles at a yard sale. The price of a book is the same as the price of a puzzle. She spends $15.The situation can be represented by the graph and system of equations shown, where b is the price of each book and p is the price of each puzzle. What is the price of each book? What is the price of each puzzle?
Answer:
Each one 7.50 :)
Step-by-step explanation:
When we add, we can solve this!
7.50 + 7.50 = 15
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Each costs $7.50
Step-by-step explanation:
Given
1 book and 1 puzzle costs $15Both have the same costSolving
If they cost the same, divide the whole cost by the number of items (2)$15/2 = $7.50 [cost of a book/puzzle]100 points HELP (EASY)
Answer:
6 inches
Step-by-step explanation: I did the test
Answer
HEY :) do you want hep with all f them or just some of the awnsers
Step-by-step explanation:
The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.
Answer:
4π ft.
Step-by-step explanation:
Area = π r^2 = 4π = π2^2
- so the radius is 2 ft,
and the circumfrence = 2 π r
= 2*π*2
= 4π ft.
The circumference of the circle is 4π feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The formula for the area A of a circle with radius r is given by:
A = πr²
We are given that the area of the circle is 4π ft², so we can set up the following equation:
4π = πr²
Dividing both sides by π, we get:
r² = 4
Taking the square root of both sides, we get:
r = 2
The circumference C of a circle with radius r is given by:
C = 2πr
Substituting r = 2, we get:
C = 2π(2) = 4π
Therefore,
The circumference of the circle is 4π feet.
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Christina is 11 years older than caden. the sum of their ages is 35. how old is christina? how old is caden?
Answer:
Caden is 11 and Christina is 24.
Step-by-step explanation: IF we know the sum of their ages is 35, then we can do the math. 35 - 11 = 24
So this means we know two ages 11 and 24.
The only thing left to do is to figure out who's age is who's. We know that Christina is older so she has to be 24 year old and Caden would be younger.
I hope this helps!
an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. the heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the legnth of the shorter base of each trapezoid is 1.5 centimeters. what is the total area of the face of the watch to the nearest tenth of a square centimemter
Answer:
Step-by-step explanation:
The total area of the face of the watch is 9.0 cm²
What is a hexagon?The polygon with six side is called a hexagon.
Given that, a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.
height, h = apothem of the hexagon = 2 cm and
base, b = length of shorter base of trapezoid.
Area of the triangle
So, the area of this triangle is A = 1/2bh
= 1/2 × 1. 5 cm × 2 cm
= 1.5 cm × 1 cm
= 1.5 cm²
Area of the hexagon
Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A
= 6 × 1.5 cm²
= 9.0 cm²
So, total area of the face of the watch is 9.0 cm²
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A frog jumps in the air. The height, in inches, of the frog is modeled by the function h(t)=60t-75t , where t is the time after it jumped, measured in seconds.
Solve .
The time of motion of the frog after it jumped into air is determined as 0.8 second.
Time of motion of the frog
The time of motion of the frog is determined by solving the quadratic equation as follows;
60t - 75t² = 0
60t = 75t²
divide both sides by t
60 = 75t
divide both sides by 75
60/75 = t
0.8 s = t
Thus, the time of motion of the frog after it jumped into air is determined as 0.8 second.
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-
Harley is 8 years younger than India.
Jessica is three times older than Harley.
The sum of the three ages is 88.
Write the ratio of Jessica's age to India's age.
Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Harley's age.Variable y: India's age.Variable z: Jessica's age.Harley is 8 years younger than India, hence:
x = y - 8.
Jessica is three times older than Harley, hence:
z = 3x.
The sum of the three ages is 88, hence:
x + y + z = 88.
x + x + 8 + 3x = 88
5x = 80
x = 16.
Hence:
y = x + 8 = 24.
z = 3x = 48
The ratio of Jessica's age to India's age is given by:
z/y = 48/24 = 2.
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Help me with these, just say sometimes, always, or never. Correct answers please and no links. Correct answers get brainly
Answer:
12. sometimes
13. always
14. always
Step-by-step explanation:
Exponential functions with a positive base are defined for all real numbers. Such functions will always have a positive value.
__
12)The larger the base, the faster the decay for x < 0. In that part of the domain, 2^x > 10^x. (sometimes)
__
13)See the initial comment. (always)
__
14)See the initial comment. (always)
In given figure ,AD,BE and CF are the medians of triangle ABC. Prove that AB vector+BEVector+CF vector = 0
Need fast
Exam questions
Answer:
they all meet at them same poin
Step-by-step explanation:
Part A Write a numerical expression to represent the approximate perimeter of triangle FGH in terms of the lengths of its sides.
side FG and FH are 5.8 and side HG is 6 units
p=FG+FH+HG =5.8+5.8+6 is a numerical expression to represent the approximate perimeter of triangle FGH.
Perimeter
The perimeter of a geometric figure is the sum of its sides.
The question gives:
the geometric figure - trianglethe sides of the triangle - 5.8, 5.8 and 6Therefore the perimeter will be the sum of 5.8, 5.8 and 6. You can write as:
p=FG+FH+HG
p= 11.6+6=17.6
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The top of Mrs. Vonvilla’s coffee table has the dimensions shown. She wants to put a bumper around the edges of the table to protect her child in case he falls. What is the perimeter of the tabletop?
A coffee table has a length of 48 inches and a width of 28 inches.
Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
76 in.
152 in.
304 in.
1,344 in.
Answer:
152 inch
Step-by-step explanation:
The dimensions of tha coffee table are .
The perimeter of a rectangle is defined as , where is the length and is the width.
So, by given we have
If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have
The perimeter of the coffee table is 152 inches.
When Brooklyn runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 3 seconds. Using the empirical rule, what percentage of races will her finishing time be between 70 and 82 seconds?
Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:
76 - 2 x 3 = 70.
76 + 2 x 3 = 82.
Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.
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Find the distance between the points.
Answer:
8
Step-by-step explanation:
Answer:
it will be 8
Step-by-step explanation:
PLEASE SOLVE THIS I DONT HAVE MUCH TIME I WILL GIVE BRAINLYZ
A rectangle has a length of 10 cm and a width of 6 cm
How long is the diagonal of the rectangle?
Answer:
d = 2√34
Explanation:
d² = 10² + 6²d² = 100 + 36d² = 136d = √136d = 2√34Which proportional line has the smallest slope?
Question 14 options:
y= 8x
y=2x
y= .75x
y=.256x
Answer: y=.256x
Step-by-step explanation:
This line has the smallest coefficient for x.
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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please answer these 3 question
Answer:
i think 5 prisms are cool
Step-by-step explanation:
Which functions have a horizontal asymptote? y = f(x) y = h(x) y = g(x) y = k(x)
Each function out of the given 4 functions has a horizontal asymptote.
What is an asymptote?An asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance.
Mathematically, if y=k is a horizontal asymptote for a function x=f(y) the limiting value of the function is infinity as y→k.
Out of the given curves, for every curve limiting value of the function tends to infinity as y→0
So, each function out of the given 4 functions has a horizontal asymptote.
Therefore, each function out of the given 4 functions has a horizontal asymptote.
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Answer:
All of them
Step-by-step explanation:
Please help I will give brainliest.
Answer:
c = 9
Step-by-step explanation:
You're looking for a number so that when you use that number in place of x, you end up with 20.
f(x) = 3x - 7
f(c) = 3c - 7
20 = 3c - 7
Add 7
27 = 3c
Divide by 3
9 = c
The slope for 5 and 2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know, slope (m) is equal to tan θ for a straight line :
[tex]\qquad \tt\dashrightarrow \: m = \tan( \theta) [/tex]
[tex]\qquad \tt\dashrightarrow \: m = \dfrac{5}{2} [/tex]
So, we can say that it's a positive constant slope
A company is sued for job discrimination because only 39% of the newly hired candidates were minorities or women when 47% of all applicants were minorities or women. Is this strong evidence that the company’s hiring practices were discriminatory? a) Is this a one-tailed or two-tailed test? b) In this context what is a Type I error? c) In this context what is a Type II error? d) Which type error would the company consider to be more serious? e) Which type error might job applicants consider to be more serious?
The research is a one-tailed test because the company won't be sued if many minorities were hired.
How to illustrate the research?In the context, the type I error will be deciding the company is discriminating or not. The type II error will be deciding the company is not discriminating when it is.
The power of the test is the probability of correctly detecting actual discrimination. The type of error that the company consider to be more serious is the type I error.
In conclusion, the type of error that job applicants might consider to be more serious is type II error.
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Consider the system of equations.
y = 4x + 2
y=-2x + 6
Part A
Graph the equations. Estimate the solution of the system of equations.
Estimated solution:
Part B
Solve the system algebraically,
Show your work
I need help like I get it at some points and some at nun
this is the graph for y =4x+2
What is the difference between 1.1 and 1.10
Answer:
They are the same.
Step-by-step explanation:
1.1 and 1.10 are both the same, actually. There is just an extra 0 at the end. For example, 2 and 2.0 are the same, because 0 is 0, and it doesn't change your answer. The 0 could go on as in 1.100000000 but it will still equal 1.1 .
Hope this helped :)
Can someone please help me. ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!
The graph below shows the relationship between the number of pants sold and the cost. Choose two true statements.
A: The ordered pair (1, 9) represents the unit rate as cost per pair of pants.
B: The ordered pair (1, 18) represents the unit rate as cost per pair of pants.
A: The ordered pair (0,0) represents the fact that one pair of pants costs $0.
A: The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.
Answer:
The ordered pair (1, 9) represents the unit rate as cost per pair of pants.
and
The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.
Step-by-step explanation:
hope this helped
1. If PQ || SR and PQRS is an isosceles trapezoid,
find m<1.
A. 30°
B. 32°
C. 34°
D. 36°
Answer:
B. 32°
Step-by-step explanation:
Finding ∠S and ∠R
∠S = 58°∠S = ∠R (Isoceles trapezoid)⇒ ∠R = 58°Similarly, ∠P = ∠Q (same reason as above)
Applying the Angle Sum Property of Quadrilaterals,
∠P + ∠Q + ∠R + ∠S = 360°2∠P + 2∠S = 360°∠P + ∠S = 180°∠P = 180° - 58°∠P = 122° = ∠QFinding the missing angles of the triangle
Left angle : ∠x + 96° = 122°∠x = 26°Applying the Angle Sum Property of Triangles,
∠x + ∠Q + ∠1 = 180°26° + 122° + ∠1 = 180°∠1 = 180° - 148°∠1 = 32°NEED ANSWER ASAP How many people drive less than 30 km to work?
Answer:
20 peopleStep-by-step explanation:
According to the graph we have
10 km = 11 people20 km = 9 peopleTheir sum is
11 + 9 = 20 peoplei am currently struggling to find this algebra 2 answer can anyone help? ill give you whatever
To celebrate the first day of school, Nathan brought in a tray of caramel brownies and walnut brownies. He brought 100 brownies in all. 4 of the brownies were caramel. What percentage of the brownies were caramel?
Answer:
Step-by-step explanation:
Out of 100 brownies ,4 were caramel.
Ratio of Caramel Brownies to Brownies: 4/100
If you further simplify it , 4/100 is the same thing as 1/25 , which can also be expressed as
Answer: 4% of the brownies were caramel
Please Can I Get Some Help
All so anyone Know Who Clown Pierce is hes my profile too
Answer:
7
Step-by-step explanation:
yep
Answer:
I think it would answer 7
Step-by-step explanation:
hope that helps