Answer:
28 years
Step-by-step explanation:
To find the number of years that the investment will reach $3500, we can use the formula of compound interest:
P = Po * (1+r)^t
where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.
In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:
3500 = 1800 * (1+0.0246)^t
1.0246^t = 3500/1800
1.0246^t = 1.9444
Using logarithm in both sides:
log(1.0246^t) = log(1.9444)
t*log(1.0246) = 0.2888
t * 0.0106 = 0.2888
t = 0.2888 / 0.0106 = 27.2453 years
So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)
△ABCtriangle, A, B, C and \triangle ADE△ADEtriangle, A, D, E both have a right angle and share \angle BAC∠BACangle, B, A, C.
y = 2x + 5 for x = 1.
1. ( 1, 12)
2. (1, -2 )
3. ( 3, 1 )
4. ( 1, 7 )
Since you know the value of x, you can substitute/plug it into the equation to find the value of y:
y = 2x + 5 Plug in 1 into "x" since x = 1
y = 2(1) + 5
y = 7
When x = 1, y = 7 --> (x, y) = (1, 7) Your answer is #4
8. If mLM = (8x - 56) and mNP = (5x + 22),
find mLP.
M 39°N
LP
Based on the calculations, the measure of arc LP is equal to 17°.
In Mathematics and Geometry, a perpendicular bisector is a segment, or ray that bisects a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
Based on the definition of a perpendicular bisector, we can logically deduce that the two larger arcs have the same measure;
mLM = mNP
8x - 56 = 5x + 22
8x - 5x = 22 + 56
3x = 78
x = 78/3
x = 26°
Since the sum of all the four (4) arcs form a full circle, we would set up an equation and equate it to 360 degrees;
mLM + mNP + mMN + mLP = 360°
8x - 56 + 5x + 22 + 39 + mLP = 360°
8(26) - 56 + 5(26) + 22 + 39 + mLP = 360°
152 + 152 + 39 + mLP = 360
mLP = 360 - 343
mLP = 17°
Missing information:
The question is incomplete and the missing figure is shown in the attached picture.
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 85% pure antifreeze. The company wants to obtain 255 gallons of a mixture that contains 60% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
75 gallons of water
180 gallons of premium anti-freeze
Step-by-step explanation:
X + Y = 255
X = 255 - Y
0.85Y = 0.6(255)
0.85Y = 153
Y = 180
X = 255 - 180
X = 75
find the distance between -6 and 8
Answer:
14
Step-by-step explanation:
the distance between -6 and 8
6 + 8
= 14
Thus, the distance between -6 and 8 is 14
50 points help Which number is a common factor of 24 and 136?
Answer:
8
Step-by-step explanation:
Answer:
1, 2, 4, 8. 8 is the greatest common factor.
Step-by-step explanation:
Find factors of both.
24: 1, 2, 3, 4, 6, 8, 12, 24
136: 1, 2, 4, 8, 17, 34, 68, 136
Find common numbers.
24: 1, 2, 3, 4, 6, 8, 12, 24
136: 1, 2, 4, 8, 17, 34, 68, 136
Factors are 1, 2, 4, and 8.
Solve for x
-8x = -48
x=-40
x=-6
x=6
x=-384
Answer:
Option C, x = 6
Step-by-step explanation:
Step 1: Divide both sides by -8
[tex]-8x = -48[/tex]
[tex]-8x / -8 = -48/-8[/tex]
[tex]x=6[/tex]
Answer: Option C, x = 6
Answer:
x = 6
Step-by-step explanation:
Let's solve your equation step-by-step.
−8x = −48
Step 1: Divide both sides by -8.
−8x /−8 = −48 /−8
x = 6
Solve 2y+1−x=7x for y
Answer:
Y=4X-1/2
Step-by-step explanation:
You must isolate the variable by dividing each side by factors that dont contain variables.
Answer:
y = 4x - 1/2
Step-by-step explanation:
2y + 1 − x = 7x
2y = 7x + x - 1
2y = 8x - 1
y = (8x - 1)/2
y = 4x - 1/2
(25 points)
Solve the equation. SHOW your work. SHOW which properties of equality you used to solve each equation.
-6 = x/8 + 4
Answer:
-80
Step-by-step explanation:
We have: -6 = [tex]\frac{x}{8}[/tex] + 4. In order to solve for x, we need to isolate it; in order to isolate x, we have to "undo" order of operations.
The regular order of operations is PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction.
Here, since we're solving for x, we need to go backwards. So, first, subtract 4 from both sides:
-6 - 4 = [tex]\frac{x}{8}[/tex] + 4 - 4 ⇒ -10 = [tex]\frac{x}{8}[/tex]
Then, multiply by 8 on both sides:
-10 * 8 = [tex]\frac{x}{8}[/tex] * 8 ⇒ x = -80
Thus, x = -80.
Hope this helps!
Answer:
x = -80
Step-by-step explanation:
Alright let's get started!
Rewrite the equation as ,
x/8 + 4 = -6
Move all terms not containing x to the right side of the equation.
(Subtract 4 from both sides of the equation.)
x/8 = -10
Multiply both sides of the equation by 8 to get rid of the denominator,
8 * x/8 = -10 * 8
8 cancels out on the left side,
x = -80
what is a..
Positive slope?
Negative slope?
Undefined slope?
Zero slope?
Please explain all in a good and understandable way and thank you
Answer:
Positive Slope-A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises. Another words, the line goes up.
Negative Slope-A line with a negative slope is a line that is trending downward from left to right. In other words, the line's rise to run ratio is a negative value. Or the line goes down
Undefined Slope- An undefined slope is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is.
Zero Slope-A zero slope is just the slope of a horizontal line. The y-coordinate never changes no matter what the x-coordinate is.
Step-by-step explanation:
Hope this helped
Solve: 2x - 10 / 4 = 3x
Answer:
x = -2.5 or -5/2
Step-by-step explanation:
1. Solve
2x = 3x + 10/4
-x = 10/4
x = -10/4
x = -2.5
2. Check Answer
2( -2.5) = 3( -2.5) + 10/4
- 5 = - 7.5 + 10/4
-5 = -5
Answer:
x = -10/4
Step-by-step explanation:
[tex]2x - \frac{10}{4} = 3x \\ 2x - 3x = \frac{10}{4} \\ - x = \frac{10}{4} \\ x = - \frac{10}{4} [/tex]
Ms. Baube launched a water balloon from the roof of the gym. Mr. Howard filmed the launch and gave her the data for the balloon's flight. How high was the roof of the school?
Answer:
I'd say 16 meters since that's the height when they started on the roof. I don't know where you got 25. That's the highest the balloon went.
To change a temperature in degrees Celsius, C, to a temperature in degrees Fahrenheit, F, the equation below can be used.
F = 9/5C+32
Select the state that best describes this equation.
A. The equation is a nonlinear function.
B. The equation is not a function.
C. The equation is a linear function.
equation of line has form of y=kx±b, so
Answer: C
Answer:
C
Step-by-step explanation:
i'm doing a test right now on this question
f(x)= 3x+1 and g(x)= x^2-6 find (f-g)(x)
Answer: -x^2+3x+7
Step-by-step explanation:
What is the height of this triangle? Round your answer to the nearest tenth.
A) 11.4 units
B) 11.5 units
C) 5.7 units
D) 5.6 units
Answer:
5.7
Step-by-step explanation:
pythagorean theorem
A^2 + B^2 = C^2
sub in
A^2 + 7^2 = 9^2
simplify
A^2 + 49 = 81
solve
A^2 = 32
solve further
A = [tex]\sqrt{32[/tex]
use calculator and get:
5.65685
round and get:
5.7
Point (5, -2) is reflected across the line y = x. Where is the new location?
Answer:
(- 2, 5 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
(5, - 2 ) → (- 2, 5 )
Answer:
That would be -5, -2
Step-by-step explanation:
Please help me on this question ♀️
Choices:
(A) 5.6
(B) 8.75
(C) 11
(D) 15
Answer:
TS = 11.
Step-by-step explanation:
Consider triangles UTO and UCS.
m < C = m < UTO (Given)
< U is common to both triangles.
Therefore triangles UTO and OCS are similar.
So corresponding sides are in the same ratio and:
5 / (TS + 4) = 4/ (7+5)
5 * (7 + 5) = 4(TS + 4)
TS + 4 = 5*12 / 4
TS + 4 = 15
TS = 11.
What is the volume of this container?
Answer:
504 in³
Step-by-step explanation:
this is a rectangular prism and the volume formula is v = l * h * w
so now
v = l*w*h
v= 6*8*12
v = 576 inch³
that's not the answer, that's the volume for whole thing but there is a gap and we have to subtract it from the whole volume. you can look at the option and say it's 504 inch³ from common sense. here is the work:
the gap has 2 inch length, 6 inch width and 6 in height.
v = l*h*w
v = 6 * 2 * 6
v= 72 inch
now subtract the gap volume from total volume so
576 - 72 = 504 in³
Name the quadrant in which the point (–4, –4) lies. III IV II I
help me please
NOW if u can
Answer:
1. A polygon is a plane figure with at least three sides and angles. It mus be closed and have straight lines.
Polygon: Square
Not a polygon: Circle
2. same, same
Step-by-step explanation:
answer:
polygona plane figure with at least three straight sides and angles, and typically five or more.
A circle is not a polygonA hexagon is a polygon2. congruent figures have same size and the same shape
hope it helps
Gerald is lightheaded and tired from a lack of oxygen in his tissues.
What is most likely the reason he feels this way?
His plasma level is high.
O
His white blood cell count is high.
His platelet count is low.
His red blood cell count is low.
The most likely reason for Gerald feeling this way is because his red blood cell count is low.
Based on the information given, it was stated that Gerald is lightheaded and tired from a lack of oxygen in his tissues.
It should be noted that the reason why he'll be lightheaded and tired from a lack of oxygen in his tissues is that his red blood cell count is low. This will make him dizzy sometimes too.
Read related link on:
https://brainly.com/question/15737800
If [tex]\sqrt{5}[/tex] = x - 2, what is the value of (x - 2)[tex]^{2}[/tex]?
Answer:
5 = (x - 2)^2
Step-by-step explanation:
sqrt(5) = x - 2
Square each side
(sqrt(5))^2 = (x - 2)^2
5 = (x - 2)^2
Okay this is easier than you think!
if (x - 2) equals [tex]\sqrt{5}[/tex]
then that means [tex](x-2)^{2}[/tex] = [tex]\sqrt{5} ^ {2}[/tex]
Anything under a square root when sqared, is itself
[tex]\sqrt{5} ^{2} = 5[/tex]
so the value of [tex](x-2)^{2}[/tex] = 5
I hope I helped! Comment if you have questions or vote this answer as the brainliest ! :)
If the sphere has a volume of approximately 904.78 cm3, what is the approximate area of the largest cross-section of the sphere shown? A) 28.27 cm2 B) 113.1 cm2 C) 226.2 cm2 D) 452.39 cm
Final answer:
Given a sphere with a volume of 904.78 cm3, we find the radius to be approximately 6.13 cm, and the area of the largest cross-section, a circle, turns out to be approximately 118.08 cm2.
Explanation:
If the sphere has a volume of approximately 904.78 cm3, we can start by calculating the radius of the sphere using the volume formula for a sphere:
V = (4/3)πr3
Solving for r:
r = &Sqrt[3]{(3V)/(4π)} = &Sqrt[3]{(3×904.78 cm3)/(4π)} ≈ 6.13 cm
The largest cross-section of the sphere will be a circle with the diameter equal to the diameter of the sphere, hence the area A of this circle will be:
A = πr2 = π×(6.13 cm)2 ≈ 118.08 cm2
Therefore, the approximate area of the largest cross-section of the sphere is 118.08 cm2, which is not listed among the provided options, implying a possible typo or error in the options. Option closest to the calculated area is B) 113.1 cm2.
Find the slant height l of the cone.
3. S = 1127 ft?
8 ft
Answer:
l = 14 ft
Step-by-step explanation:
S = 112π ft²
πrl = 112π
π*8*l = 112π
[tex]l=\frac{112*\pi}{\pi*8}\\\\l=\frac{112}{8}\\\\[/tex]
l = 14 ft
Which of these defines the longest arc?
Answer: C
Step-by-step explanation:
The arc length, s, equals the radius, r, times the central angle, θ, given in radians. (In shorthand, s=r⋅θ.) If r=5 cm and θ=6 radians, the arc length is 5 cm⋅6=30 cm. If r=7 cm and θ=5 radians, the arc length is 7 cm⋅5=35 cm. If r=9 cm and θ=4 radians, the arc length is 9 cm⋅4=36 cm. An angle of 180∘ is π radians, or about 3.14. If r=10 cm, the arc length is 10 cm⋅3.14=31.4 cm. Of these choices, the longest arc is 36 cm.
a basketball player attempted 15 baskets in the game he makes 9 of the attempted baskets which ratio describes the number of baskets the player made to the number of baskets to play attempted thanks so much!!
Answer:
3:5
Step-by-step explanation:
We are given that
Basket player attempted basket=15
He makes number of attempted basket=9
We have to find the ratio which describes the number of baskets the player made to the number of baskets to play attempted.
[tex]\frac{number\;of\;baskets\;made}{number\;of\;basket\; to play attempted}=\frac{9}{15}[/tex]
[tex]\frac{number\;of\;baskets\;made}{number\;of\;basket\; to play attempted}=\frac{3}{5}[/tex]
Hence, the ration which describes the number of baskets the player made to the number of baskets to play attempted=3:5
Answer:
3:5
Step-by-step explanation:
what 2+2 pls hep meeeeeeeeee
Answer:
2+2 is 4
Step-by-step explanation:
-1 is 3 quick maths
The graph shows the path of light from a wall reflecting off mirrored ceiling tiles, where x is the distance from the wall in feet and y is height in feet along the wall where the light source hangs.
Which statement describes the room based on the graph?
The ceiling is 10 feet high.
The ceiling is 20 feet high.
The light source is 10 feet off the ground.
The light source is 20 feet off the ground.
Answer: The ceiling is 10 feet high.
Step-by-step explanation: the light source is 7 feet, and the ceiling is 10.
A is the correct answer.
The radius of a circle is 1 kilometer. What is the diameter?
r=1 km
Answer:
d = 2 km
Step-by-step explanation:
The diameter is twice the radius
d= 2r
We know the radius is 1 km
d = 2* 1 km
d = 2 km
Answer:
The diameter is 2 km.
Step-by-step explanation:
Diameter = radius * 2.
Algebra method 4x - 6 = 30
Answer: The answer is x=9
(PLEASE VOTE ME BRAINLIEST. I NEED TO LEVEL UP LOL)