Answer:
It will take 4.4 years to gain $8000.
Step-by-step explanation:
Substitute the values in the formula.
A = P (1+r/n) nt 8000 = 6000 (1+0.06/12) 12t
Use BEDMAS (order of operations) and solve the value in the brackets.
8000 = 6000 (1.005) 12t
Divide both sides by 6000
1.3 = (1.005) 12t
Take the logarithm of both sides.
log (1.3) = log (1.005) 12t
Include the exponent in the equation.
log (1.3) = (12t) (log 1.005)
Divide both sides by log 1.005.
(log(1.3))/(log(1.005)) = 12t
Find out the log.
52.6039 = 12t
Divide both sides by 12.
4.4 = t
I'm attaching a word document where everything is organized.
Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees. What is the measure of Arc C E D? 106° 108° 148° 212°
Answer:
212°
Step-by-step explanation:
The computation of the measure of Arc C E D is shown below:
= Angle EBD + Angle CBE
= 160 + 52
= 212 degrees
We simply added the angle EBD and Angle CBE so that the ARC CED could come
Therefore the last option is correct
Answer:
D. 212°
Step-by-step explanation:
Just took the quiz
Hope this helps! :)
Shellys square garden has an area of 81f ft^2 what is the length of the side
Answer:
9 ft
Step-by-step explanation:
Hopefully this helps! :)
Help I don’t get it..
Answer:
Step-by-step explanation:
the shape looks like a cube.. and maybe they say something about that outside of the picture, even but assuming that it is a cube, we know all the sides are the same.
we also know that the area of one side of the cube is 3 [tex]\frac{1}{4}[/tex]
so multiply that
W x L = area
3 [tex]\frac{1}{4}[/tex] * 3 [tex]\frac{1}{4}[/tex] = area
10 [tex]\frac{9}{16}[/tex] = area
10.5625 = area
those two answer above are the same .. just one is in fractions and one is in decimals
there are 6 sides on a cube, so multiply the above answer by 6
6* answer = 63.375
63 [tex]\frac{3}{8}[/tex] ( this is your answer)
both of those are also identical , but look different for the reasons I mentioned above
use which ever from seems better to you. :)
If 20 articles cost ? 90, then the cost of 9 articles is ?
A. 45
B 4.50
C.40.50
D. 42
Answer:
C. $40.50
Step-by-step explanation:
OK so, If 20 articles cost ? 90, then the cost of 9 articles is ?
First you need to find out how much is 1 article.. Divide 90 by 20 you get, $4.5. now multiply 4.5 by 9. Which you get... 40.5. In other words it can also be written as, 40.50.
Hope its correct ;w;
Mike scored a 125 at a semi-final dividing competition season. He scored 95 at this final season. What is the percentage decrease in kc score?
Answer:
There was a 24% decrease
Step-by-step explanation:
Percentage decrease = (final season's score - semi-final score) / semi final score x 100
[tex]\frac{95-125}{125}[/tex] ×100
[tex]\frac{-30}{125}[/tex] × 100 = -24%
Hep meeee shhdjahsnsjsnsnsjjsnssjsusns
Answer:
X= 42 degrees
Step-by-step explanation:
When combining 3x+12 and x, this results in a 180 degree angle to be formed. Therefore create the equation 3x+12+x=180 to get the value of X.
3x+12+x=180
4x+12=180
-12. 12
4x= 168
x= 42
A shipping container has a volume of 48 cubic meters. What could be the dimensions (length, width, height) of the container if none of the dimensions are 1 m? Explain how you found the dimensions.
Answer:
6m * 4m * 2m
Step-by-step explanation:
Given that :
Cubic volume = 48 m³
Possible dimension if none of the dimensions is 1 m
Volumetric Dimension = (length * width * height)
The product of the three dimensions must give 48m³
Constraint : none of the dimensions has a volume of 1 m.
Hence, possible dimension :
6m * 4m * 2m = 48m²
Hence, one possible dimension is :
6m * 4m * 2m
The width of a recycling bin is 3/4 foot,the length is 1 foot,and the height is 1 1/2 feet.What is the volume of the recycling bin?
Answer:
1 1/8
Step-by-step explanation:
Laura has a bag of markers. In the bag there are:
7 red markers
5 blue markers
3 yellow markers
She pulls markers from the bag one at a time without putting any back into the bag. What is the probability that the first marker she pulls is yellow and the second marker is red?
Answer:
3/14
7/13
Step-by-step explanation:
Plzzzz Help :'( ASAP! I Don't Understand
Answer:
D.) 119º
Step-by-step explanation:
All angles in a triangle have to add up to 180º. Add 87º and 32º to get 119º, then subtract from 180º to get 61º. Angle C is 61º. Since it's also supplementary to 1, subtract 61º from 180º. 1 is 119º.
Answer:
D) 119°
C) The two angles are supplementary.
Step-by-step explanation:
First problem:
<1 is an exterior angle of the triangle.
<A and <B are interior angles of the triangle far from <1.
For <1, angles A and B are called remote interior angles.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
m<1 = m<A + m<B
m<1 = 87° + 32°
m<1 = 119°
Answer: D) 119°
Second problem:
AB is a line. The diagonal line intersects line AB forming 4 angles, a, b, c, and d. Angles c and d are next to each other, called adjacent angles, and have a common side, and the other two sides lie on line AB. That makes angles c and d a "linear pair." Two angles in a linear pair have measures that add to 180°, so angles c and d are supplementary angles.
Answer: C) The two angles are supplementary.
(THIS IS COPY ND PASTE)
Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?
its an inequality eqution, i already know he can spend 30 or less on the boook
answer:
30 > 4x + 2 and 6 books
step-by-step explanation:
read the question and set up the inequalitylet x = number of books he can afford30 > 4x + 2
30 would be on one side since that's the most he can spend4x because each book is $4+ 2 because there is a charge of $230 > 4x + 2
28 > 4x
7 > x
he can afford 6 booksit cannot be 7 because if he does buy 7 books, it would cost more than $30Joy recorded the distances she walked each day for six days. How far did she walk in 6 days? Enter your answer as a mixed number in simplest form.
Answer:
[tex]2\frac{1}{6}[/tex]
Step-by-step explanation:
The question is not complete, but I would show how to solve a similar question.
Joy recorded the distances she walked each day for five days. How far did she walk in 5 days?
Solution:
We can see that Joy distance is recorded in the dot plot. From the dot plot, we can see that she walked 1/3 miles each day for three days, 1/2 miles for one day and 2/3 miles for one day. Therefore, to get the total distance walked, we just have to sum the individual distance that she walked each day. Hence the total distance is given as:
[tex]Total \ distance=\frac{1}{3} +\frac{1}{3} +\frac{1}{3}+ \frac{1}{2}+ \frac{2}{3} =\frac{13}{6}=2\frac{1}{6}[/tex]
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes. Calculate the price per 36 rolls for each shop.
Answer:
The answer is below
Step-by-step explanation:
At Lidal shop, 4 toilet rolls is sold for £2.40. Therefore the cost of each toilet roll is given as:
Cost of each roll at Lidal = £2.40 / 4 = £0.60 per roll
Cost of 36 rolls = cost for each roll * 36 rolls = £0.60 per roll * 36 rolls = £21.6
At Oldi shop, 9 toilet rolls is sold for £4.68. Therefore the cost of each toilet roll is given as:
Cost of each roll at Oldi = £4.68 / 9 = £0.52 per roll
Cost of 36 rolls = cost for each roll * 36 rolls = £0.52 per roll * 36 rolls = £18.72
HELP AGAIN!!!!!!!!
Three squares each have sides of length 6 units and overlap each other as shown below. The points where the sides cross are midpoints. Find the area of the gray figure in square units.
Answer:
90
Step-by-step explanation:
Partition the figure by extending the sides of the ``middle'' square as shown at the right. Each original square contains four $3 \times 3$ small squares. The shaded figure consists of ten $3 \times 3$ squares, so its area is $10 \times 9 = \boxed{90\text{ square
units}}$.
In this exercise we have to use the knowledge of areas to calculate the area of the square in gray, so we have that:
[tex]A=90[/tex]
First it is informed that one side of the square is 6, so every square has exactly:
[tex]l^2=6^2=36[/tex]
Adding that we have 3 squares with the same value of sides:
[tex]36*3=108[/tex]
However, there are areas that are being calculated twice in the central square, these areas are smaller squares that have side values equal to 3, so:
[tex]l^2=3^2=9\\9*2=18\\108-18=90[/tex]
See more about areas at brainly.com/question/1631786
Write an algebraic expression for...
15 more than w
*An algebraic expression is a mathematical phrase that can contain numbers, variables (letters) and operations (+, -, x ÷)
Solve the inequality 7≥b+-2
Answer:
9 is greater than or equal to b
Step-by-step explanation:
7 is greater than or equal to b+-2
(Add two to both sides)
9 is greater than or equal to b
Hope this helps
What is the measure of the missing angle?
Answer:
79 degrees
Step-by-step explanation:
You add the two angles and get 79. Then you subtract it from 180 because it is a straight angle. 180-101=79
Answer:
79
Step-by-step explanation:
28+73+x=180
a straight line is 180. That's how I got what it is equal to.
28+73= 101
101+x=180
subtract
180-101= 79
hope this helps!!
What is the graph of the solution set of b - 4 2 -1?
Answer:
the B graph
Step-by-step explanation:
(20,8),(9,16). Can u do a step by step
Answer: [20x, 8y] [9x, 16y]
Step-by-step explanation:
Go on x value 20 and go up to 8 on y value.
Go on x value 9 and go up 16 on y value.
Consider this expression. x-4/2(x+4)
Answer:
Option A
Step-by-step explanation:
We will simplify the expressions given in the options first,
x² - 16 = (x - 4)(x + 4)
2x + 8 = 2(x + 4)
x² + 8x + 16 = (x + 4)²
Option A
[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]
= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]
= [tex]\frac{x-4}{2(x+4)}[/tex]
Option B
[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]
= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]
= [tex]\frac{2}{x^2-16}[/tex]
Option C
[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]
= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{(x-4)(x+4)}{2}[/tex]
Option D
[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]
= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{2(x+4)}{(x-4)}[/tex]
Therefore, Option A is the answer.
AC = 12 in the image shown. Is BC tangent to circle A?
Α)
No, because 62 +92 = 122
B
Yes, because 62 +92 = 122.
No, because 62 +92 = 122
D)
Yes, because 62 +92 = 122
Which proportion can be used to find the arc length, s, in units?
Answer:
Option B
Step-by-step explanation:
Formula to be used to calculate the length of an arc,
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here, θ = Angle subtended at the center by the arc
r = radius of the circle
By substituting values in the formula,
s = [tex]\frac{150}{360}(2\pi )(42)[/tex]
[tex]\frac{s}{2\times 42\pi }=\frac{150}{360}(\frac{2\times 24\pi }{2\times 24\pi } )[/tex]
[tex]\frac{s}{84 \pi }=\frac{150}{360}[/tex]
Therefore, Option B will be the answer.
6+x^2)^2. Please solve for me
Answer:
36 + x^4Step-by-step explanation:
6^2 + x^2^2
36 + x^4
Hope that helps!
If you had a right triangle with legs measuring 40 yards and 100 yards long,
what would be the length of the hypotenuse? Round your answer to the
nearest yard if necessary. *
70 yd
92 yd
108 yd
146 yd
9514 1404 393
Answer:
(c) 108 yd
Step-by-step explanation:
For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...
c² = a² +b²
Solving for c, we have ...
c = √(a² +b²)
c = √(40² +100²) = √(1600 +10000) = √11600
c ≈ 107.70 . . . . yards
The length of the hypotenuse is about 108 yards.
Describe the properties of the graph of the given polynomial functions
Answer:
graph of polynomial function is smooth and continues graph it doesn't have gap and sharp line.
Step-by-step explanation:
first we make table to joine numbers on graph then we can join the number on the graph.
I need help with this
Answer:
268
formula:
A= 2(wl+hl+hw)
3/10÷4/5 im just lost
Answer:
0.375
Step-by-step explanation:
lololololollolollo
Answer:
0.375
Step-by-step explanation:
hope it helps <3
Solve the triangle in the figure.
Question options:
A)
BC = 9; m∠A = 53.1°; m∠B = 6.9°; m∠C = 90°
B)
BC = 11; m∠A = 42.8°; m∠B = 47.2°; m∠C = 90°
C)
BC = 19; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
D)
BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
Answer:
D)
BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
Step-by-step explanation:
15²-12² = 9²
BC = 9
sin B = 12/15 = 0.8
∠B = 53.1°
The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:
H² = P² + B²
The length BC will be calculated as below:-
15²-12² = 9²
BC = 9
The angle B will be calculated as below:-
sin B = 12/15 = 0.8
∠B = 53.1°
Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ2
write the equation of the line pictured in standard form
Answer:
x+2y=4
Step-by-step explanation:
y=-1/2x+2 multiply both sides by 2
2y=-1x+4
2y+x=4 or x+2y=4 standard form
a boat travels at a rate of 25 miles, m, per hour, h. which equation represents this scenario?
A) m=25h
B) m=12+h
C) m=12-h
D) m=h/12