Step-by-step explanation:
first of all, remember. when dividing by a fraction, this is the same as multiplying by the upside-down fraction.
and all these signs (including the fraction sign) stand for divisions and really do the same thing and can be exchanged with each other : "/", "÷", ":"
and when writing a number like 4 1/2, it is a shortcut and means actually (4 + 1/2).
so,
4 1/2 ÷ 1/2 = 4 1/2 × 2/1 = 4 1/2 × 2 = (8/2 + 1/2)×2 =
= 9/2 × 2 = 18/2 = 9
Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. What is the finance charge on this loan?
Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. The finance charge on this loan is 6.9%.
What is APR?Suppose there is an initial amount as P.
The interest, or say charge on it is applied annually as 'C' amount.
Taking how much percent of P is C, we get:
[tex]APR = \dfrac{C}{P} \times 100[/tex]
Given;
Principal =$2,200
interest = $132
Service charge = $21.
To find finance charge we use
Finance charge (FC) = interest + service charge(SC)
= $132 + $21
= $153
Therefore
APR = Finance charge / Principal
= $153 / $2200
= 0.069 or 6.9%
Therefore, The finance charge on this loan is 6.9%.
Learn more about finance charge;
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need help STAT 100 POINTS
Answer:
it would be 59.5
What is the sum 2, 3, 4, and 5?
Answer:
14
Step-by-step explanation:
We can find the sum of these numbers by adding them together.
The cumulative rule of addition lets us add numbers together in any order we want.
So, for 2 + 3 + 4 + 5 …
2 + 3 = 5
So now we have 5 + 4 + 5
5 + 4 = 9
Now we have 9 + 5
And 9 + 5 = 14
So, your answer is 14
Hope this helps!
Need help with this find the value of x
Using the quadratic formula to solve 2x² - 4x-7, what are the values of x?
ọ trở lại
O 18 -√101
28/101
.
012-√51
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (-4) \pm \sqrt { (-4)^2 -4(2)(-7)}}{2(2)} \implies x= \cfrac{ 4 \pm \sqrt { 16 +56}}{ 4 } \\\\\\ x=\cfrac{4\pm 6\sqrt{2}}{4}\implies x=\cfrac{2\pm 3\sqrt{2}}{2}\implies x= \begin{cases} \frac{2\pm 3\sqrt{2}}{2}\\\\ -\frac{2\pm 3\sqrt{2}}{2} \end{cases}[/tex]
the size of a triangle are X cm, (X-5)cm and (X+3)cm long. if the perimeter is 25 cm, find the length of the three sides?
Step-by-step explanation:
let's be more detailed than the other answer :
the perimeter is the sum of all sides of an object. in case of a triangle, well, that is the sum of all 3 sides.
so,
25 = x + (x-5) + (x+3) = x + x - 5 + x + 3 = 3x - 2
27 = 3x
x = 9
so, the sides are
x = 9 cm
(x-5) = 9 - 5 = 4 cm
(x+3) = 9 + 3 = 12 cm
Linda hiked 10 miles last weekend. She plans to hike 3/5 of that distance next weekend. enter the distance in miles that Linda plans to hike next weekend
Answer:
6 Miles
Step-by-step explanation:
What do we know: Linda hiked 10 miles last weekend, and she plans to walk 3/5ths of that next weekend.
Thus, we take 10 and multiply it by 3/5.
To understand it all better, let's write the equation like this, X will be the number of miles Linda plans to hike next weekend.
[tex]\frac{10}{1}[/tex]×[tex]\frac{3}{5}[/tex] = [tex]\frac{30}{5}[/tex]
Afterwards we can simplify like so, factoring 5 from both the numerator and the denominator:
[tex]\frac{5(6)}{5(1)}[/tex]
The 5's in the numerator and denominator cancel out, leaving us with:
[tex]\frac{6}{1}[/tex]
Or in simpler terms 6. Thus we can know that Linda will hike 6 miles next weekend.
Oi beinggreat78, check this out
Answer:
[tex]\sf C = 37.7~in.[/tex]
_________
[tex]\sf Steps[/tex]
[tex]\sf Given~diameter=12[/tex][tex]\sf Use~diameter-to-circumference~formula[/tex][tex]\sf Formula:[/tex] [tex]\pi d = \pi * diameter[/tex]
_________
[tex]\sf Solve[/tex]
[tex]\pi * d(12) = 37.7~in.[/tex]
If tan A=2 sin A .Then find the value of A, given 0<\= A <\=360.
[tex]tan(A)=2sin(A) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{sin(A)}{cos(A)}~~ = ~~2sin(A)\implies sin(A)=2sin(A)cos(A) \\\\\\ sin(A)-2sin(A)cos(A)=0\implies sin(A)[ ~~ 1~~ - ~~2cos(A) ~~ ]=0 \\\\[-0.35em] ~\dotfill\\\\ sin(A)=0\implies A=sin^{-1}(0)\implies A= \begin{cases} 0\\ 180^o\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 1-2cos(A)=0\implies 1=2cos(A)\implies \cfrac{1}{2}=cos(A) \\\\\\ cos^{-1}\left( \cfrac{1}{2} \right)=A\implies A= \begin{cases} 60^o\\ 300^o \end{cases}[/tex]
Using identities, evaluate 11.2²
[tex]~~~~(11.2)^2\\\\=(11+0.2)^2\\\\=11^2 + 2(11)(0.2) + (0.2)^2\\\\=121+4.4+0.04\\\\=125.44[/tex]
Hey there!
11.2^2
= (11.2)^2
= 11.2 * 11.2
= 125.44
Therefore, the answer should be: 125.44
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help!, the questions are in the picture
The circumference of a circle is 37.68 miles. What is the circle's diameter?
Use 3.14 for .
Answer:
12 miles
Step-by-step explanation:
[tex]C=\pi d\\37.68=3.14d\\12=d[/tex]
Thus, the diameter of the circle is 12 miles
How much joe pay in dollars to get 40 euros
Answer:
42$
Step-by-step explanation:
Hope it helps :)
please help me find the distance between the two polar coordinates
thank you!
Answer:
⅜ is the distance
Hope you found this answer very useful
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
a = 24
Step-by-step explanation:
a - 1.5 = 22.5
a = 24
you can plug it into the other 2 to make sure it is right my brain hurts so i won't.
Have a nice day! :) and btw people will think it is a scam because 2 answers are allowed right so the points split in half and the person answering will only get 10 points
Find the exact area of the shaded please helppp ILL GIVE BRAINLIESTTTTTT
Answer:
The exact area is [tex]5\pi[/tex]
Step-by-step explanation:
The area of the major circle is subtracted from the area of the minor circle (blank)
Major circle
[tex]r=\frac{6}{2} =3[/tex]
[tex]A=\pi r^{2} =\pi (3)^{2} =\pi (9)=9\pi[/tex]
Minor circle:
[tex]r=\frac{4}{2} =2[/tex]
[tex]A=\pi r^{2} =\pi (2)^{2} =\pi (4)=4\pi[/tex]
The shaded area:
[tex]9\pi -4\pi =5\pi[/tex]
Hope this helps
s a right triangle. If RQ = 8, what is PQ
Answer:
PQ = 4
Step-by-step explanation:
[tex]tan(30)=\frac{RQ}{8}\\RQ=8tan(30)\\RQ=\frac{8}{3}\\RQ=\frac{8}{3}/3\\HYPOTENUSE=8\\PQ = 4\\[/tex]
help me please i and this asap
Answer: Select 2 because its 2 times the volume of cone
Step-by-step explanation:
Determine whether each situation calls for a survey, an experiment, or an observational study. Explain your reasoning.
1. A research group wants to determine if playing music in a patient waiting room reduces stress levels.
2. A nutrition research group wants to determine whether ninth-grade students who reported having eating breakfast
every school morning had higher standardized test scores than who did not report having eaten breakfast every school
morning.
3. A restaurant plans to ask 100 randomly selected customers to determine which menu item is most popular.
help pleaseeeeeeeeeeeee
1
VOLUME OF RECTANGULAR PRISMS
4 cm
1
7.5 cm
18 cm
Answer: 540 cm³
Step-by-step explanation:
The volume of a rectangular prism can be found with:
V = L * W * H
-> L is the length
-> W is the width
-> H is the height
V = L * W * H
V = 18 cm * 7.5 cm * 4 cm
V = 540 cm³
The volume is 540 cm³.
Pls, look at the picture for the question.
Answer:
the answer of the question is A
X
GRADE 07 MATHEMATICS I SECTION 3 / 1 OF 11
A distance of 2 inches on a map represents an actual distance of 3 miles. The map shows a scale
drawing of a rectangular plot of land. The width of the plot of land on the map is 6 inches. What is the
actual width, in miles, of the plot of land?
Enter your answer in the space provided.
Answer:
9
Step-by-step explanation:
6 divided by 2 equals 3 then you multiply 3 by 3 which equals 9.
Hope this helps!!!!!!!!!!
Be safe!!!!!!!
Answer:
9 miles
Step-by-step explanation:
Given scale: 2 in = 3 miles
⇒ 1 in = 1.5 miles
If the width of the plot of land is 6 inches, then to calculate the actual width multiply 6 by 1.5:
actual width = 6 × 1.5 = 9 miles
Which steps should be used to graph the equation below? y - 4 = 1/3 * (x + 2)
Answer:
Step-by-step explanation:
y - 12/3 = 1/3x + 2/3
y = 1/3x + 14/3
Find the midpoint of the line segment joining the points C= (4,7) and D= (-2,-3)
Answer:
(1, 2)
Step-by-step explanation:
Hi there!
We are given two points - (4, 7) and (-2, -3)
We want to find the midpoint between these two points
The midpoint can be found using the formula [tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion & mistakes
[tex]x_1=4\\y_1=7\\x_2=-2\\y_2=-3[/tex]
Now substitute into the formula
[tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex]
[tex](\frac{4+ -2 }{2}, \frac{7+-3}{2})[/tex]
The pluses can be replaced with minus signs:
[tex](\frac{4 -2 }{2}, \frac{7-3}{2})[/tex]
Now subtract
[tex](\frac{2 }{2}, \frac{4}{2})[/tex]
Divide
(1,2)
The midpoint is (1, 2)
Hope this helps!
What is the y-intercept of f (x) = 3.4’x?
Answer:
3
Step-by-step explanation:
Y intercept when x = 0
F(0) = 3 * 4^(0) = 3 * 1 = 3
Why are 1995 pennies worth less than 2018 pennies?
Answer:
Most 1995 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1995 penny with no mint mark and the 1995 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade.
Step-by-step explanation:
hope this helps.
Question 9 of 10
A system of two equations is shown below. What will you need to multiply the
top equation by in order to solve this system using the elimination method?
X +2y = 11
6X + 4y = 34
A. 6
• B. -2
C. 2
( D. -4
Answer:
by 6
Step-by-step explanation:
Isolate x for x + 2y= 11: x= 11- 2y
Substitute x =11 -2y
6(11 - 2y) + 4y = 34|
Simplify
[66 -8y= 34]
Isolate y for 66 - 8y= 34: y =4
For x = 11 - 2y
Substitute y = 4
X= 11-2 x 4
Simplify
X=3
The solutions to the system of equations are:
X=3,y=4
Evaluate the expression when a = 4, b=8 and c=12 4(a+b)-c
Answer:
36
Step-by-step explanation:
4(a+b)-c
4(4)+4(8)=16+32-12
48-12=36
Madison hits a tennis ball with an initial velocity of 18 m/s straight up into the air. When she hits the ball, it is 1.2 m above the ground
Which equation can be used to find the time, t, it takes for the ball to reach the ground?
A) -16t^2 + 18t+ +1.2=0
B) 4.9t^2 + 18t + 1.2 = 0
C) 4.9^2 + 1.2t + 18 = 0
D) -16t^2 +1.2t + 18 = 0