Answer: The numbers are 5, 8, and 9
Step-by-step explanation:
x+y+z=22
y=x+3
z=2x-1
After you have those three equations, you can plug the y and z value into the first equation.
You get x+x+3+2x-1=22, so 4x+2=22
Therefore, 4x=20, so x=5
If x=8, then y=5+3, so y=8
Also, z=2(5)-1, so z=9
Niki makes the same payment every two months to pay off his $61,600 loan. the loan has an interest rate of 9.84%, compounded every two months. if niki pays off his loan after exactly eleven years, how much interest will he have paid in total? round all dollar values to the nearest cent. a. $39,695.48 b. $10,294.26 c. $3,126.29 d. $39,467.12 please select the best answer from the choices provided a b c d
The interest that Niki paid in total will b A $39,695.48
what will be the interest paid by Nikki?We will use the formula of amount for two monthly compounded
[tex]A=\dfrac{P(1-(1+\dfrac{r}{t}^{-nt} )}{\dfrac{r}{t} }[/tex]
P is the periodic payment.
Here, A = $61,60
r = 0.0984
t = 6
n = 11 years
By putting values in the formula we get,
[tex]61600=\dfrac{P(1-(1+\dfrac{0.0984}{6} ^{-11\times6} )}{\dfrac{0.0984}{6} }[/tex]
[tex]61600=\dfrac{P(1-(1+0.0164)^{-66}}{0.0164}[/tex]
[tex]1010.24=P(1-0.341769)[/tex]
[tex]1010.24=0.658231\times P[/tex]
[tex]P=$1534.78[/tex]
So, Niki pays $1534.78 every two months for eleven years.
Now the total payment made by Niki = [tex]11\times 6\times 1534.78=101295.48[/tex]
Hence, interest paid is = [tex]101295.48-61600=39695.48[/tex]
Thus interest that Niki paid in total will b A $39,695.48
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Answer:
A $39,695.48
Step-by-step explanation:
got it right on edge ;)
Tell weather the angles are adjacent or vertical then find the value of x
Answer:
x = 49
Step-by-step explanation:
Pls, choose me as brainliest!
Answer:
=> x = 49Step-by-step explanation:
=> x + 10 = 59 { They are equal because they are vertically opposite angle }
=> x = 59-10
=> x = 49
=> x+10 => 49+ 10 => 59
help me please will give brianliest need help in 1hour.
A rectangular park is 40 yards wide. A city planner wants to put a 1-yard wide path all the way around it. How long is the park now if its area including the new path will be 4,200 square yards?
Answer:
98 square yards (hopefully its not too late!)
Step-by-step explanation:
I do not have one sorry,
Answer:
98 Square yards (not 2 late i hope!)
Step-by-step explanation:
...
sorry dont have one
The volume of a cylinder is 1087 cm and its height is 12 cm.
Step-by-step explanation:
Appropriate QuestioN :The volume of a cylinder is 108π cm³ and its height is 12 cm. What is the length of the cylinder's radius?Need to FinD :We have to find the length of the cylinder's radius.[tex] \red{\frak{Given}} \begin{cases} & \sf{Volume\ of\ the\ cylinder\ =\ {\pmb{\sf{108{\pi}\ cm^3.}}}} \\ & \sf{Height\ of\ the\ cylinder\ =\ {\pmb{\sf{12\ cm.}}}} \end{cases}[/tex]
We know that,
The volume of a cylinder is the density of the cylinder which shows the amount of material contained in the cylinder. The volume of the cylinder is given by, πr²h.Where,
r is for radius.h is for height.[tex]\rule{200}{3}[/tex]
Now, let's calculate the length of the cylinder's radius.[tex] \sf \dashrightarrow {Volume\ of\ cylinder\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\pi}\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\cancel \pi}\ =\ {\cancel \pi}r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {108\ =\ r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {\dfrac{\cancel{108}}{\cancel{12}}\ =\ r^2} \\ \\ \\ \sf \dashrightarrow {r^2\ =\ 9} \\ \\ \\ \sf \dashrightarrow {r\ =\ \sqrt{9}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{r\ =\ 3\ cm.}}}}_{\sf \blue{\tiny{Radius\ of\ cylinder}}}} [/tex]
∴ Hence, the length of the cylinder's radius is 3 cm.
Find the value of x, the area is 48 inches squared.
Answer: x=8in.
Step-by-step explanation: Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
Answer:
x = 3
Step-by-step explanation:
there are 4 right triangles inside the quadrilateral
area of 4 triangles
= 4 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
= 4 × [tex]\frac{1}{2}[/tex] × 8 × x
= 2 × 8x
= 16x , then
16x = 48 ( divide both sides by 16 )
x = 3
How long will each knight spend on guard duty in one day
Step-by-step explanation:
248 min i think hope it helps
16. Suppose Eva has 12 3/4 pounds of flour. The day's baking will require triple that amount.
How much flour will Eva need?
A. 37 lb
B. 38 1/2 lb
C. 373/4 lb
D. 38 1/4 lb
E. 38 1/3 lb
Answer:
Option D
Step-by-step explanation:
Given the following question:
[tex]12 \frac{3}{4} \times3[/tex]
In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.
[tex]12 \frac{3}{4} \times3[/tex]
[tex]12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}[/tex]
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{51}{4} \times\frac{3}{1}[/tex]
[tex]51\times3=153[/tex]
[tex]4\times1=4[/tex]
[tex]=\frac{153}{4}[/tex]
Convert the improper fraction back into a mixed number:
[tex]\frac{153}{4}[/tex]
[tex]\frac{153}{4} =153\div4=38\frac{1}{4}[/tex]
[tex]=38\frac{1}{4}[/tex]
Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.
Answer now give brainless
Answer:
Reflected over x axis
compressed by 2
right 3
up 3
Step-by-step explanation:
I graphed both and looked at the differences
a rectangles side is 7.6 cm. the bottom of the rectangle is 11cm. what is the area?
Answer:
83.6 cm
Step-by-step explanation:
Area = width x length
so 7.6 x 11
which is 83.6
Therefore, the area of the rectangle is 83.6 cm
hope this helps, give brainliest?
Answer:
18.6 should be ur answer!
Step-by-step explanation:
I will mark your answer if correct
Answer: -7 and 4
Step-by-step explanation: -2 - 5 = -7 and 7 - 3 = 4
g(m) = -2n/9
explanation:
make "m" the subject.
solve:
-2m - 5n = 7m - 3n
-2m - 7m = -3n + 5n
-9m = 2n
m = -2n/9
[tex]\rightarrow \sf \bold{m=-\dfrac{2n}{9}}[/tex]
Hurry please!! Write an equation of the line in slope-intercept form
Answer:
D
Step-by-step explanation:
Answer:
[tex]d)\ y=\frac{1}{3}x +2[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}[/tex]
[tex]y=mx+b\\y=\frac{1}{3}x +b[/tex]
(3, 3)
[tex]y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b[/tex]
[tex]y=\frac{1}{3}x +2[/tex]
Check your answer:
[tex]y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3[/tex]
This statement is true
Hope this helps!
can someone help me with this question
Answer:
The horizontal shift is to the left by 2 units and the vertical shift is down 3 units for this function.
I hope I was able to help!
Step-by-step explanation:
someone please help me work this problem out, this is very confusing.
Answer:
24
Step-by-step explanation:
You are basically inserting -4 into the function as x. It would be (-4)^2-2(-4) You can simplify it into 16 - (-8) or 24.
Answer:
24
Step-by-step explanation:
Well, f(-4) is the case in the formula when x=-4.
On that occasion, f(-4)=(-4)^2-2*(-4)=16+8=24
(Please help!) Find the surface area of the rectangular prism
Answer:
156.25
Step-by-step explanation:
A = 2 (wl + hl + hw)
A = 2 (5.5 x 3 + 7.25 x 3 + 7.25 x 5.5)
A = 2 (16.5 + 21.75 + 39.875)
A = 2 x 78.125
A = 156.25
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 24 = x 18 squared 24 = x (18 24) squared = x squared 18 squared 24 squared = x squared.
Answer:
18 squared + 24 squared = x squared
Step-by-step explanation:
As we know from Pythagorean theorem:
a^2=b^2+c^2, where a -s hypotenuse and b&c are adjacent sides of right angle.
Here we should have: x^2=18^+24^2
Amy takes 17/5
minutes to drive from her home to the local shopping centre. She spends 1/8
of this time waiting at traffic lights.
Answer:
Make 7/5 and 1/8 have a common denominator, which is 40.
7/5 x 8/8 = 56/40(minutes driving to her home)
1/8 x 5/5 = 5/40 she spends
..............................................................................
Answer:
x = 166°
Explanation:
m || n|| means parallel lines.
x = 166°
reason:
Alternate interior angles, so has same angle measure.
Answer:
x = 166°
Step-by-step explanation:
Alternate interior angles are equal
Therefore, x = 166°
Instructions: Write the equation of the line in Point-Slope Form
given the information below. Use Point One.
Point One = (-3,3)
Point Two = (-2,-1)
Answer:
Step-by-step explanation:
What is 2.73 divided by 30
Answer:
2.73 divided by 30 is 0.091
Answer:
0.091
Step-by-step explanation:
First, let's convert 2.73 into a whole number by multiplying it by 100.
2.73 × 100 = 273.We also have to multiply 30 by 100.30 × 100 = 3000Now, we divide 273 by 3000.
Please help me and we can be friends!
Thank You for who helps me
Hi! I hope you are enjoying your day!
In order to subtract these fractions, we should turn the first fraction into an improper fraction.
What is an improper fraction?
An improper fraction is a fraction whose numerator is greater than its denominator.
How to turn a mixed number into an improper fraction?
Multiply the whole number by the denominator.- Multiply 1 times 8
2. Add the numerator.
- Add 7 to the product of 1 and 8 (which, of course, is equal to 8)
8+7=15
Therefore, we have
[tex]\bold{\displaystyle\frac{15}{8} -\frac{3}{8}}[/tex]
Now all we have to do is subtract the numerators!
[tex]\bold{\displaystyle\frac{12}{8}}[/tex]
Surprise! This fraction can be reduced:
[tex]\boxed{\boxed{\bold{\displaystyle\frac{3}{2}}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
Find the missing side of the right triangle. 7 ܠ x x= [?] /[ Enter the number that belongs in the green box.
Answer:
Step-by-step explanation:
True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why
Yes, solutions, roots, x-intercepts, and zeros are the same thing.
What is a quadratic equation?
The general quadratic equation is given by:
a*x^2 + b*x + c = 0
So the solutions are the values of x such that the above thing is zero.
On another hand, a parabola or a quadratic function is given by:
a*x^2 + b*x + c = y
The roots, zeros, or x-intercepts (these represent the same thing) are given by:
a*x^2 + b*x + c = 0
Zero or Root means that when you evaluate the function in that value the outcome is zero.X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.
Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.
If you want to learn more about quadratic functions, you can read:
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Faith is taking an $8,100, 2 ½ -year loan with an APR of 8. 22%. What is the monthly payment for this loan?
Using simple interest, it is found that the monthly payment for this loan is of $325.485.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem, the parameters are A(0) = 8100, r = 0.0822, t = 2.5, hence, the total amount is:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]A(t) = 8100[1 + 0.0822(2.5)][/tex]
[tex]A(t) = 9764.55[/tex]
it will be paid over 2.5 x 12 = 30 months, hence the monthly payment is given by:
M = 9764.55/30 = $325.485.
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Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course. The base of the green is 4 feet wide, and the height is 12 feet. The felt costs $1. 99 per square foot. What is the cost of the felt to cover the green? $23. 88 $31. 84 $47. 76 $95. 52.
The total cost of the triangular felt of the 24 square feet is 47.76 Dollars. Then the correct option is C.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course.
The base of the green is 4 feet wide, and the height is 12 feet.
The area of the triangle will be
[tex]\rm Area = \dfrac{1}{2}*base *height\\\\Area = \dfrac{1}{2}*4*12\\\\Area = 24[/tex]
The area of the triangle is 24 square feet.
The felt costs $1. 99 per square foot. Then the cost of 24 square feet will be
[tex]\rm Total\ cost = 1.99*24\\\\Total\ cost =\$ \ 47.76[/tex]
The total cost of the 24 square feet is 47.76 Dollars. Then the correct option is C.
More about the triangle link is given below.
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help I need the answer to this question ASAP
You had $50. You spent 10% of the money on clothes, 20%
the rest on books. How much money was spent on books
Answer:
$9 was spent on books
Step-by-step explanation:
10% of 50 = 5
50-5 = 45
20% of 45 = 9
Answer:
$9
Step-by-step explanation:
Given:
You had $50
Spend 10% on clothes
Spend 20% rest on books
Solve:
$50 x 10% = 5
$50 - 5 = $45 [ Spend on clothes]
$45 x 20% = 9 [ Spend on Book]
Thus, Spend on books = $9
[RevyBreeze]
One of the legs of a right triangle measures 19 cm and its hypotenuse measures 13 cm, Find the measure of the other leg. If necessary, round to the nearest tenth.
not possible, the hypotenuse must be the longest side of a right triangle
Tom solved 9 out of the 15 practice questions for a test correctly. If the actual test is 35 questions, how many can Tom expect to solve correctly?
Answer:
21
Step-by-step explanation:
9/15 = 3/5
35*3/5=105/3
105/3=21
lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
Answer:
x = 28°
Explanation:
m || n|| means parallel lines.
x = 28°reason:
Alternate interior angles, so has same angle measure.
HELP ASAP
Antonio's sister has challenged him to find the sum of the 23rd through 40th terms of the series. Help
Antonio by finding this value. Explain your reasoning and show your work below.
The function A(n) = 22(1.1)^n-1 is an illustration of a geometric series
The sum of the 23rd through 40th terms of the series is 17.49
How to determine the sum of the seriesThe nth term of the geometric series is given as:
[tex]A(n) = 22(1.1)^{n-1[/tex]
The nth term of a series is represented as:
[tex]A(n) = ar^{n-1[/tex]
So, by comparison;
We have:
[tex]a = 22[/tex]
[tex]r = 1.1[/tex]
The sum of nth term of a geometric progression is:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
Start by calculating the sum of the first 22 terms
[tex]S_{22} = \frac{22(1.1^{22} - 1)}{22 - 1}[/tex]
[tex]S_{22} = \frac{157.086}{21}[/tex]
[tex]S_{22} = 7.48[/tex]
Next, calculate the sum of the first 40 terms
[tex]S_{40} = \frac{22(1.1^{40} - 1)}{40 - 1}[/tex]
[tex]S_{40} = \frac{973.70}{39}[/tex]
[tex]S_{40} = 24.97[/tex]
Subtract S22 from S40
[tex]S_{40} - S_{22} = 24.97 - 7.48[/tex]
[tex]S_{40} - S_{22} = 17.49[/tex]
Hence, the sum of the 23rd through 40th terms of the series is 17.49
Read more about progression at:
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