Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
8.12
Given the diagram below, what is cos(45") ?
450
Triangle not drawn to scale
A. 2-3
B. 4/2
C.
D. JE
The value of cos 45° in the given triangle is 1/√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given right triangle the hypotenuse is 8√2
In the given triangle the two legs are equal.
Let x be the length of the two legs
By Pythagoras theorem, let us find the length of a leg.
x²+x²=(8√2)²
2x²=64(2)
2x²=128
Divide both sides by 2
x²=64
Take square root on both sides
x=8
Now let us find the cosine function, the ratio of adjacent side and hypotenuse
cos45 = 8/8√2
=1/√2
Hence, the value of cos 45° in the given triangle is 1/√2, Option C is correct.
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5 Marta designs a logo for her mother's business,
X-treme Nutrition. The logo is shown.
35°
35°
b
Which equation and solution best represents
angle b?
A b + 35 = 90; b = 55°
B b-35 = 35; b = 70°
C 6+ 70 = 180; b = 110°
D b + 35 = 180; b = 145°
Answer:
(C). b + (2 × 35) = 180; b = 110°
Step-by-step explanation:
Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, that Mr. Brown purchased?
A. t = 160 + 75(10)
B. 75 + t(10) = 160
C. 75t + 10 =160
D. 160t - 75 = 10
Could you show your work? Thanks!
Answer:
Step-by-step explanation:
The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.
please helpppp and explain
Answer:
angle BAC=50-2x
Step-by-step explanation:
angle ACD=115+x
then, angle ACB=180-(115+x) because it is a supplementary angle
angle ABC=angle ACB because it is an isosceles triangle
angle BAC=180-2[180-(115+x)]
angle BAC=180-360+230-2x
angle BAC=50-2x
Amelia's account balance is $16. If she uses her debit card to buy a $32
shirt from the mall, what will the balance of her account be?
Answer:
-$16
Step-by-step explanation:
16-32=-16
Find the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.
Answer:
2199.11 (with pi)
2198 (with 3.14)
Step-by-step explanation:
A=2πrh+2πr²
A=2π(14)(11)+2π(14)²
A=2π(154)+2π(196)
A=2(483.56)+2(615.44)
A=967.12+1230.88
20 points . I need help with this.
Answer:
1) 117
2) 51
3) congruent
4) to each other
Step-by-step explanation:
Hans opens a circular window that is 3.5 feet across at its widest point. What is the circumference of the window to the nearest whole number? Use 3.14 for π. help pls
Answer: 11
Step-by-step explanation:
i did 3.5 x 3.14 = 10.99 and rounded to the nearest whole number, 11.
The circumference of the circular window to the nearest whole number is 11 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 pir^2.
We have,
To find the circumference of the circular window, we need to use the formula:
C = πd
where C is the circumference, π is the constant pi, and d is the diameter of the circle.
Since the window is 3.5 feet across at its widest point, the diameter of the circle is also 3.5 feet.
Plugging in the value of the diameter in the formula, we get:
C = πd
C = 3.14 x 3.5
C = 10.99
Rounding the result to the nearest whole number, we get:
C ≈ 11 feet
Therefore,
The circumference of the circular window to the nearest whole number is 11 feet.
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Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible.
Answer:
The plant grew [tex]12\frac{1}{14}[/tex] inches
Step-by-step explanation:
Operations with Fractions
Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.
We are required to find the total growth during the two weeks. We have to find the sum of:
[tex]6\frac{2}{7}+5\frac{11}{14}[/tex]
Let's convert both fractions to improper form:
[tex]6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}[/tex]
Adding the integers:
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}[/tex]
Now we find the LCM of 7 and 14 is 14, thus:
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}[/tex]
Rewriting as a mixed number:
The plant grew [tex]12\frac{1}{14}[/tex] inches
Math Help plz. I cant figure it out.
Answer:-1 1/3 because 5 1/3+-4 1/6 is like subtracting them as a positive and you get 1 1/6 then subtract 2 1/2 to get -1 1/3
Step-by-step explanation:
Write the equation of a line that is parallel to the line y=4x+2 and passes through the point (4,1)
Answer:
y = 4x-13
Step-by-step explanation:
The standard equation of the line is y = mx+c
m is the slope
c is the intercept
Given the equation y = 4x+2
The slope m = 4
Substitute m = 4 and the given point into the formula y = mx+c
1 = 4(4)+c
1 = 14+c
c = -13
Get the equation
Recall that y = mx+c
y = 4x + (-13)
y = 4x-13
Hence the required equation is y = 4x-13
Tobey, Finn, and Mary rode their bicycles in the park.
Tobey: 432 yards
Finn: 1,300
Mary: 1/4 mile
Who rode the furthest? Explain how you know.
Answer: Mary
Step-by-step explanation:
Tobey 432 yards is 1296 foots
Mary 1/4 mile is 1320 foots
You didnt mark what kind of measurment Finn has but I assume it's foots, then Mary wins!
(Tobey 1296)
(Finn 1300)
(Mary 1320)
Answer:
Yeah it's Mary
Step-by-step explanation:
Given that is the midpoint of AB and E is the midpoint of AC, AD =32cm, AE=19cm, and DE=39cm, determine the perimeter of DBCE
Answer:
since triangle AED similar to ACB
CE=19cm mid point bisect it
BD=32Cm mid point bisect it
Step-by-step explanation:
BC=2DE=2×39=78Cm
perimeter=sum of all side=ce+de+bd+bc=19+39+32+78=168cmtherefore perimeter of DBCE=168CmStandard
Expanded
Written
6000 + 900 + 10 + 5
Answer: This is written in Expanded form.
Step-by-step explanation: The number is 6,915, to write a number in expanded form, write it's place values by the number it's in.
Ex: Expanded form of 5,731: 5,000 + 700 + 30 + 1
A) describe each two-dimensional figure cross section that results from slicing each three-dimensional figure
B)describe the two dimensional figure cross section that results from slicing the cylinder number 6 with a vertical cross-section
PLEASE HELP QUICK
I WILL MARK BRAINLYIEST'
AnswerWE NEED MORE
Step-by-step explanation:
Last week, labron jogged for 2 1/4 miles. This week , he plants to jog 2 times as far as last week. How many miles does Lebron Plant to jog this week?
Answer:
4.5 miles
Step-by-step explanation:
2 times as far as last week
last week was 2.25 miles
2* 2.25 = 4.5 miles
the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)
Answer:
Height x=2
Step-by-step explanation:
area of top & bottom:
(5)(4)(2)=40
area of 2 sides:
(x)(5)(2)=?
area of the other two sides:
(x)(4)(2)=?
total area=76
76=40+10x+8x
simplify:
36=18x
x=2
y=x-2
make x the subject
Answer:
x + 2 = y
Step-by-step explanation:
y = x - 2
x = y - 2
x + 2 = y
Answer:
x=y-2Step-by-step explanation:
x equals y -2 that is the answer to this equation
What is the measure of N
Answer:
No picture sorry
I need help with this please
Answer:
Car B is going faster
Step-by-step explanation:
Car B has a higher rate.(It goes 20 more miles per hour)
Name the central angle of the given arc.
What is equivalent to 7x(4x-5)
7x(4x-5)
Distribute
28x^2-35x
Ans : 28x^2-35x
Answer:
28x - 5
Step-by-step explanation:
coeffecients with the same variable can be multiplied added subtracted divided so i multiplied 7 and 4 because they have the same variable which is X so it would be 28x and you can't multiply 7x by 5 because it doesnt have a variable consider multiplying if it has the same variable when it has a variable. so it would just be 28x - 5
1
5
5.0,
71
1. -0.3, 4.33, -12, 10001, -12, -2017, 4
From the given numbers, list the numbers that are
(i) positive integers, (ii) negative integers,
(iii) positive numbers, (iv) negative numbers.
Answer:
positive number
Step-by-step explanation:
because I got it right
I will give BRAINLIEST:)
Answer:
A'C'=AC=3
Step-by-step explanation:
Answer:
C: 3 units
Step-by-step explanation:
Just think about it... 180 degrees rotated is exactly opposite rotation degree.
If you rotate 90 degrees, the triangle will end up on quadrant 4.
Rotate 360 degrees, the triangle will stay in the same quadrant.
In conclusion, C is the best option
whats 3472532*67 then divided by 3? Thank you! -Ibuki
Answer:
77,553,214.66666667
Step-by-step explanation:
calculater
Answer:
77553214 2/3
Step-by-step explanation:
i squeezed out the baby yet i have no idea who the father is
To keep her pet groundhog Marley happy, Gwen built a rectangular pen for Marley with an area of 242 square feet. She only had 66 feet of fencing to use, and wanted the length to be twice as long as the width. What are the dimensions of the pen?
Juliette made cookies for a bake sale and wants to package the same number of cookies together. If she makes 16 chocolate chip cookies, 32 mint cookies, and 24 gingerbread cookies, what is the most number of each type of cookie that will be in the bag?
Answer:
8 cookies
Step-by-step explanation:
We are asked in the above question to find the most number of cookies that would be in the bag.
We solve the above question using the Greatest Common Factor method
We find the factors of 16, 24, 32
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 32 are: 1, 2, 4, 8, 16, 32
Then the greatest common factor is 8.
Therefore, the most number of each type of cookie that will be in the bag is 8 cookies
The number of incidents in which police were needed for a sample of 10 schools in one county is:
6
40
49
4
42
47
17
8
32 11
Find the first and third quartiles for the data.
Part: 0/2
Part 1 of 2
First quartile Q, is
Answer:
3Step-by-step explanation:
expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and
each side of a triangle is nine inches long. find the perimeter
The triangle in which the side are nine inches long has a perimeter of 27 inches.
Perimeter of a triangle
The perimeter of a triangle is the sum of the length of the whole side.
The triangle have three sides and the perimeter is the sum of the whole sides.
According to the question, the triangle has the whole sides as 9 inches.
This means the triangle is an equilateral triangle.
Therefore,
length of side = 9 inches
perimeter = 9 + 9 + 9
perimeter = 27 inches
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The ratio of students to teachers at a school is 19 : 1. At this school, there are 400 people (teachers and students). How many of these 400 people are students? (enter number only, without the unit)
Answer:
There are 380 students and 20 teachers.
Answer:
380
Step-by-step explanation:
Let 19x = no. of students
x = no. of teachers
Then, x + 19x = 400
20x = 400
x = 20
19x = 19(20) = 380