Step-by-step explanation:
A) In order to calculate the interest , we can use the following formula :
[tex]P=P_{0}.(1+i)^{t}[/tex]
Where P is the interest , P0 is the initial value, i is the interest and t is the time.
So , using P0 =600,i= 0.0005768 and t=27 ,we have :
[tex]P=600.(1+0.0005768)^{27} \\P=600.(1.01569)\\P=609.41[/tex]
Calculating only the interest, we have :
[tex]I=609.41-600\\I=9.41\\[/tex]
So the interest is $9.41.
B) He paid the final value calculated above, that is , $609.41.
PLEASE MARK ME AS BRAINLIEST
Can someone Simplify ( x+3 ) + ( 2x-1) =
Answer:
3x + 2 = is the answer
Step-by-step explanation:
Hope this Helps! :)
Which number is greatest? 89.91, 81.900, 81.90, or 81.9?
Answer:
the first option (89.91) is the greatest
HELP ASAPPP!!!! GIVING BRAINLIEST!
2 and 1/4 + 2 and 1/5 + 3 and 5/8
Answer:
[tex] 7 \frac{23}{40} [/tex]
Step-by-step explanation:
2 and 1/4 + 2 and 1/5 + 3 and 5/8
[tex] = 2 \frac{1}{4} + 2 \frac{1}{5} + 3 \frac{1}{8} \\ \\ = \frac{2 \times 4 + 1}{4} + \frac{2 \times 5 + 1}{5} + \frac{3 \times 8 + 1}{8} \\ \\ = \frac{8 + 1}{4} + \frac{10 + 1}{5} + \frac{24 + 1}{8} \\ \\ = \frac{9}{4} + \frac{11}{5} + \frac{25}{8} \\\\(lcm \: of \: 4, \: 5, \: 8 \: = 40) \\ \\ = \frac{9 \times 10}{4 \times 10} + \frac{11 \times 8}{5 \times 8} + \frac{25 \times 5}{8 \times 5} \\ \\ = \frac{90}{40} + \frac{88}{40} + \frac{125}{40} \\ \\ = \frac{90 + 88 + 125}{40} \\ \\ = \frac{303}{40} \\ \\ = 7 \frac{23}{40} [/tex]
solve for x 4.72 = 3.25 + x
Can someone help me out.. Will add brainliest!!
to figure out this equation, all you need to do is combine like terms!
x = 1x
4x = 4x
6x = 6x
1x + 4x + 6x = 11x
Hope this helped! :D
Answer:
11x is the answer
Step-by-step explanation:
the x by it self is a 1
Bob is doing a quality test on machine bolts. He tested 24 bolts that he randomly picked and found that 5 were defective Based on Bob's results, what is the expected number of bolts that will be defective if he tests 840 bolts?
Answer:
Mean of the binomial distribution
μ = 174.972 bolts
Step-by-step explanation:
Step(i):-
Given that Bob tested 24 bolts that he randomly picked and found that 5 were defective
The proportion of the defective item
[tex]p = \frac{x}{n} = \frac{5}{24} = 0.2083[/tex]
Step(ii):-
Let 'x' be a random variable in a binomial distribution
Mean of the binomial distribution
μ = np
μ = 840 ×0.280
μ = 174.972
Final answer:-
Mean of the binomial distribution μ = 174.972 bolts
Are the triangles congruent? Why or why not?
Yes, AngleA ≅ AngleD and AB ≅ DE.
Yes, they are congruent by either AAS or ASA.
No, AngleC is not congruent to any angle in TriangleDEF.
No, the congruent sides do not correspond.
Answer:b
Step-by-step explanation:
Ed
Answer:b
Step-by-step explanation: edge said ti was right
A cylinder is 5 centimeters tall and has a radius of 2.1 centimeters. Find the volume to the nearest tenth. Use 3.14 for .
61.2 cm
33.0 cm
65.9 cm
69.2 cm
Answer:
Option D
Step-by-step explanation:
Volume of a cylinder is [tex]V=\pi r^2h[/tex]
h - height
r - radius
We are given the radius of 2.1 centimeters and the height of 5 centimeters.
Using 3.14 for pi:
[tex]V=3.14*2.1^2*5\\\\V =69.237[/tex]
69.237 ≈ 69.2
Option D should be the correct answer.
triple the difference of six less than a number (rewrite)
Answer:
3(6-x)
Step-by-step explanation:
The expression "Triple the difference of six less than a number" can be represented as 3 * (x - 6), where x represents the number.
To mathematically represent "Triple the difference of six less than a number," we can use the following expression:
3 * (x - 6)
Here, x represents the number, and the expression calculates the difference between the number and six, which is then multiplied by three.
To know more about expression, refer here:
https://brainly.com/question/34132400
#SPJ6
have this done correctly for brainliest
Answer:
Statement 4 is true
Step-by-step explanation:
6(2n-8)=12 I need the answer
Answer:
N = 5
Step-by-step explanation:
6 (2n - 8) = 12
12n - 48 = 12
12n = 60
n = 5
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Answer:
5 = n (i think)
Step-by-step explanation:
6(2(5)- 8) = 12
6(10 - 8)= 12
6 (2) = 12
GIVING BRAINLIEST JUST HELP PLZZ.
Answer
V=216
Step-by-step explanation:
V=BxH
24 x 9 = 216
I need this awser this ASAP
Mark has a bag with 10 blue chips, 6 yellow chips, 4 green chips and 12 red chips. What is the probability of getting a green or a red chip
Answer:
50%
Step-by-step explanation:
There are 32 total chips. Since there are 16 green and red chips, which is 1/2 of 32, the probability of getting a green or red chip is 50%.
63 is 75% of what number?
Enter your answer in the box.
___
Answer: the Answer is 84.
Step-by-step explanation:
Please help very easy
Answer:
1) 35 + 5 = 40
2) 15 + -5 = 10
3) 10 + -25 = -15
Step-by-step explanation:
Hope this helps
Have a great day!
If P=(-3,4), find: Rx-axis (P)
Answer:
(-3,-4)
If it was on the y-axis it would be (3,4)
Step-by-step explanation:
Rx-axis (P) = (-3, -4)
What is reflection about x-axis?"When we reflect a point about x-axis then the x-coordinate remains the same, but the y-coordinate changes its symbol."
For given example,
we have been given a point P = (-3, 4)
We need to find Rx-axis (P)
That is we need to reflect given point about x-axis.
We know, when we reflect a point about x-axis then the x-coordinate remains the same, but the y-coordinate changes its symbol.
So, the reflected point would be (-3, -4)
Therefore, Rx-axis (P) = (-3, -4)
Learn more about reflection about x-axis here:
https://brainly.com/question/12155993
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Evaluate f(x+3) when f(x)=-x^2-2x+2
Answer:
f(x + 3) = -x² - 8x - 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationExpandingTerms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
f(x) = -x² - 2x + 2
f(x + 3) is x = x + 3
Step 2: Find
Substitute in x: f(x + 3) = -(x + 3)² - 2(x + 3) + 2Expand: f(x + 3) = -(x² + 6x + 9) - 2x - 6 + 2Distribute -1: f(x + 3) = -x² - 6x - 9 - 2x - 6 + 2Combine like terms: f(x + 3) = -x² - 8x - 138. (8G5) Using the diagram shown, find the value x and the value of y.
Show your work.
C
y
65°
x
A
D
B
Answer x =
y =
Answer:
interchangable parts, telephone, light bulb, railways, steam engines
Step-by-step explanation:
Please help me?!!!!!!!
Answer:
See below.
Step-by-step explanation:
a) 7/8 = 0.875
b) 7/5 = 1.4
c) 1/16 = 0.0625
d) 9/16 = 0.5625
A: 0.875
B: 1.4
C: 0.063
D: 0.563
please explain step by step! 100 points!!
Answer:
First you want to multiply 13.25 by 40 meters. Your answer will be 530. Once you get your answer you will have to label it. 13 x 40 = 520 x 0.25 530 Hope this helps
What answer 81 1/2 + 12
How do I find the perimeter? Please help !
Answer:
add all of the sides
Step-by-step explanation:
The graph shows a trip taken by a car where t is the time(In hours) and y is the distance(in miles) fro Phoenix.
A) How far from Phoenix was the car at the beginning of the trip?
B) What was car’s speed?
C) How long did the trip last?
D) How far from Phoenix was the car at the end of the trip?
Would appreciate answers!
Please help, I will give brainliest, I am struggling badly.
Answer:
C
Step-by-step explanation:
A line with a slope of 1/3 using the y=mx+b line slope equation would be:
y=1/3x+b
We can now plug the x and y values into this equation with x being -6 and y being 2.
2=1/3 * -6 +b
2= -2 +b
b=4
Therefore the equation is
y=1/3x+4
C
I hope this helps! :)
Answer:
y=1/3x+4
The answer is (C)
What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?
Answer:
[tex]R' = (-1,-0.5)[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment:
[tex]P = (-3,-3)[/tex]
[tex]R = (1,2)[/tex]
Dilation:
[tex]D_{(0.5,P)}[/tex]
Required
Determine R'
First, subtract the coordinates of P from R. This means that R is measured from P.
[tex]R = (1-(-3),2-(-3))[/tex]
[tex]R = (1+3,2+3)[/tex]
[tex]R = (4,5)[/tex]
Next, apply dilation factor 0.5
[tex]R' = R * 0.5[/tex]
[tex]R' = (4,5) * 0.5[/tex]
[tex]R' = (4* 0.5,5* 0.5)[/tex]
[tex]R' = (2,2.5)[/tex]
Lastly, measure R' from the origin by adding the coordinates of P to R'
[tex]R' = (2+(-3),2.5+(-3))[/tex]
[tex]R' = (2-3,2.5-3)[/tex]
[tex]R' = (-1,-0.5)[/tex]
Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.
The coordinate of the R' after the dilation is (-1,-0.5)
What is dilation?Dilation of a figure or image is to enlarge or shorter it from the original length by a scale factor.
Given information-
The points of PQRS are Q(-3,2), R(1,2), P(-3,-3), S(1,-3).
The given points are dilated. This dilation can be measured by subtracting the point P from each point . Thus the point of Q is,
[tex]Q'=Q-P\\Q'=(-3-(-3), 2-(-3))\\Q'=(0,5)[/tex]
Similarly,
[tex]R'=R-P= (1-(-3),2-(-3))=(4,5)\\P'=P-P=(-3-(-3), 3-(-3)=(0,0)\\S'=S-P=(1-(-3),-3-(-3))=(4,0)\\[/tex]
As the dilation factor is 0.5. Thus, the point of Q is,
[tex]Q"=(0.5)\times(0,5)=(0,2.5)[/tex]
Similarly,
[tex]R"=(0.5)\times(4,5)=(2,2.5)\\P"=(0.5)\times(0,0)=(0,0)\\S"=(0.5)\times(4,0)=(2,0)\\[/tex]
Add the points P back, to the above coordinate plane to get the dilation point. Thus the point of Q is,
[tex]Q'''=(0,+(-3), 2.5+(-3))\\Q'''=(-3,-0.5)[/tex]
Similarly,
[tex]R'''=(2+(-3),2.5+(-3))=(-1,-0.5)\\P'''=(0+(-3),0+(-3))=(-3,-3)\\S'''=(2+(-3),0+(-3))=(-1,-3)\\[/tex]
Thus the coordinate of the R' after the dilation is (-1,-0.5)
Learn more about the dilation here;
https://brainly.com/question/10253650
Which set does not contain –3?
Find the percent change from the first value to the second.
60; 90
Answer:
Step-by-step explanation:
90 is half again as much as 60: 60 + (1/2)(60) = 90
This is a 150% increase.
I need help bc i dont understand so plz help due tomorrow
Answer:
c = 3 is the only thing i can think of lmk if im wrong..
Step-by-step explanation:
c =3 because 12÷4 (pentagons)= 3