Answer:
[tex]15516.3163[/tex]
Step-by-step explanation:
[tex]8500\cdot(1.034)^{18}=15516.3163[/tex]
If Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516
Using this formula
Amount=P(1+r)n
Where:
p represent principal=$8,500
r represent rate=3.4% or 0.034
n represent number of years=18 years
Let plug in the formula
Amount=$8,500(1+0.034)∧18
Amount=$8,500(1.034)∧18
Amount=$8,500(1.82544)
Amount=$15,516
Inconclusion if Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516
Learn more here:
https://brainly.com/question/19143786
You spin the spinner below once. What is the P(getting a number less than 5)?
Answer:
3/4
Step-by-step explanation:
Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances
The required probability of getting a number less than 5 is 3/4
The correct option is (B)
What is Probability?The mathematical possibility of any event is called probability
The probability of impossible event is zero and sure event is one
The probability can be calculated as
Probability = [tex]\frac{favourable}{total}[/tex]
How to find probability?here we have given total event or sample is
S = {2, 3, 4, 5}
n(S) = 4
The required probability of getting a number less than 5
Favorable event E = {2, 3, 4}
n(E) = 3
Therefore the
P(E) = 3/4
Hence the correct option is (B)
This is the conclusion to the answer.
Learn more about probability here-
https://brainly.com/question/25870256
#SPJ2
Translate the following sentence into an equation. Five times a number less than eighteen is equal to thirteen.
Answer:
5(n<18)=13
Step-by-step explanation:
Five times a number less than eighteen is equal to thirteen
5 (n < 18 = 13
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.
How many angles are alternate exterior angles with angle 5?
Answer:
The answer is 7 angles.
Step-by-step explanation:
There 7 alternate exterior angles with angle 5.
Correct me if I'm wrong!
Thank you!!!
The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.
What is an alternate exterior angles ?The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.
Hence, the angle that is alternate exterior angles with angle 5 is as follows:
∠11learn more on alternate exterior angles here: https://brainly.com/question/16244138
Which graph represents the function f(x) = ()–x
Answer:
Slope: -1
y-intercept: 0
The graph of the function y = - x is attached at the end of the answer.
What is a linear function? What is a mathematical function, equation and expression?linear function : A linear function is of the form -[y] = ax + b
It has a degree of one and has only one root.
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the function as -
y = f(x) = - x
We have the following function -
y = - x
The function y = -x is a linear function. Refer to the graph of the function attached. The function has a slope of -1 .
Therefore, the graph of the function y = -x is attached with the answer.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ6
[tex]( {5b}^{2} + 3b + 4) + ( {6b}^{2} - 5)[/tex]
Answer: 11b^2 + 3b - 1
Step-by-step explanation:
(5b^2 + 3b + 4) + (6b^2 - 5)
5b^2 + 3b + 4 + 6b^2 - 5
11b^2 + 3b -1
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4
HELP ME PLZ NOT A TEST !!!!!!!!!!!!!!!!! ITS A REVIEW AND I DONT GET IT I NEED TO KNOW THE STEPS AND THE AWNSER
Answer: See below
Step-by-step explanation:
1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.
5²×3=25×3=75
A shows 75.
-----------------------------------------------------------------------------------------------------------------
2. You need to first distribute each factor and then combine like terms.
-14a+10b+20a-32b+2
6a-22b+2
B
-----------------------------------------------------------------------------------------------------------------
3. You need to first distribute each factor and then combine like terms.
-6n+30+18n-12
12n+18
D
Write an absolute value expression to represent the distance between -1 and -6 on a number line. then evaluate the expression.
Answer:
5.
Step-by-step explanation:
That would be |-1 - (-6)|
= |-5|
= 5.
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3 divided by 2
Answer:
[tex]4\frac{1}{20}[/tex]
Step-by-step explanation:
[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]
[tex]\frac{27}{4} \div \frac{5}{3}[/tex]
[tex]\frac{27}{4} \times \frac{3}{5}[/tex]
[tex]\frac{27 \times 3}{4 \times 5}[/tex]
[tex]=\frac{81}{20}[/tex]
[tex]=4\frac{1}{20}[/tex]
Answer:
7 divided by 2
Step-by-step explanation:
Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1
Answer:
x = 3
Length of each segment = 3
Step-by-step explanation:
Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.
m(TU) = m(VU)
(8x + 11) = (12x - 1)
By further solving this,
8x + 11 + 1 = 12x - 1 + 1
8x + 12 = 12x
8x + 12 - 8x = 12x - 8x
12 = 4x
x = [tex]\frac{12}{4}[/tex]
x = 3
(12x - 1) = 12×3 - 1
= 35
And the length of each segment will be 35 units.
i need help guys ):
Answer:
It is a dilation. You know because when you see the shapes form left to right, the shape increases in size.
What is the equation of the line that passes through the point (-7,-1) and has a slope of 1?
Answer:
Step-by-step explanation:
y + 1 = 1(x + 7)
y + 1 = x + 7
y = x + 6
What is the equation of the graphed line?
a. y = 4x - 6
b. y = -4x + 6
c. y = 2/3x - 4
d. y = 3/2x - 4
Answer:
its c
Step-by-step explanation:
-4 is the y- intercept form and 2/3 is the slope
Answer:
C.
Step-by-step explanation:
Y intercept is -4 so a. and b. are out right away
the slope is up two over three so change in Y over change in X
In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?
(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2
Answer:
(2) 21.6
Step-by-step explanation:
The segment OA is the radius of the circle
The arc of the complete circle is equivalent to its perimeter
perimeter = 2*π*radius = 2*π*10 = 62.83 cm
This arc is proportional to 360°. So, for 124°:
360°/124° = 62.83 cm/ x cm
x = 124*62.83/360
x = 21.6 cm
In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4
Answer:
Correct option: 2 -> sqrt(37)
Step-by-step explanation:
To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.
The equation of the law of cosines is:
c^2 = a^2 + b^2 - 2 * a * b * cos(C)
So, we have that:
c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)
c^2 = 49 + 9 - 21
c^2 = 37
c = sqrt(37)
Correct option: 2
Help asap plzz
-3x + 7 = -8
Answer:
x=5
Step-by-step explanation:
-3x+7=-8
Bring 7 to the other side, it becomes negative
-3x=-8-7
Signs are same on rhs so u add
-3x = -8+-7= -15
Bring -3 to the other side n divide
therefore,
x=-15/-3
= +5 (two negatives become positive)
Hope it helps!
Answer:
x = 5
Step-by-step explanation:
→Subtract 7 from both sides:
-3x + 7 = -8
-3x = -15
→Divide both sides by -3:
x = 5
Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3
Answer:
y = -1/3x+3
Step-by-step explanation:
use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer. y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
The equation that represents the graphed function would be; y = -1/3x+3
We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.
Now plug in the values and get the answer.
y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 3-2) / ( 0-3)
m = -1/3
The equation will be y=-1/3x+3
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ7
What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles
Answer:
35 miles per hour
Step-by-step explanation:
The slope is
m = (y2-y1)/(x2-x1)
= (280-210)/(8-6)
= 70/2
= 35 miles per hour
Answer: 1hr/35miles
Step-by-step explanation:
Can someone help me with this please
Answer:
63.6
Step-by-step explanation:
[tex]\sqrt{45^{2} + 45^{2}} = \sqrt{4050}[/tex]
Translate the phrases below into inequalities and interval notation. Use the variable x for the inequalities. Phrase Inequality Interval notation at least 11 at most 11 more than 11 fewer than 11 strictly between 3 and 11 between 3 and 11, inclusive no more than 3
Answer:
At least 11: x≥11 ; At most 11:x≤11 ; More than11: x>11 ; Fewer than 11: x<11; Strictly between 3 and 11 : 3 < x < 11 ; Between 3 and 11: 3≤x≤11 ; Inclusive no more than 3: x≤3
Step-by-step explanation:
At least 11: x≥11At least means that the number can't be lower than 11 (11 included)
At most 11: x≤11At least means that the number can't be higher than 11 (11 included)
More than11: x>11More means that the number must be higher than 11 ( 11 not included)
Fewer than 11: x<11Fewer than means that the number must be lower than 11 ( 11 not included)
Strictly between 3 and 11 : 3 < x < 11"Strictly between" means excluding the endpoints
Between 3 and 11: 3≤x≤11Including endpoints.
Inclusive no more than 3: x≤3Inclusive includes number 3 (less or equal)
Feel free to ask for more if needed or if you did not understand something.
Please help!
A bus traveled 120 miles on a highway in 2 1/2 hours. If the bus traveled at a constant speed, what was the speed of the bus in miles per hour?
Answer:
48 miles per hour
Step-by-step explanation:
Take the miles and divide by the time to get miles per hour
120 miles / 2.5 hours
48 miles per hour
Answer:
the bus is going 48 mile per hour
Step-by-step explanation:
The original price of a plane ticket was reduce by 150 if p= the ticket original price in dollars which algebraic expression represents the reduced price?
Answer:
p-150
Step-by-step explanatio
p=precio
reducido=150
se redujo, quiere decir que es "-"
Entonces dice "que expresión presenta el precio reducido"
Entonces sería:
(precio) - (reducido)
p-150
If fix)=x2-2 and g(x) = x-3, what is(f•g)(x)?
o (f•g)(x) = x +7
o (f•g)(x) = x^2 - 6x+7
o (f•g)(x) = x^2- 3x+7
o (f•g)(x) = x^2 - 5
Answer:
The last option is correct. (f*g)(x) = x² - 5
Step-by-step explanation:
Since is f * g you have to multiply them together.
x² - 2 * x - 3 (x)
Next ust simplify.
x² -5x
Need help ASAP
How to check that a trinomial is a perfect square ?
Answer:
Step-by-step explanation:
multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.
I Need the answer and how to do the question, anyone can help?
Answer:
P(A and B) = 0.1344 = 13.44%
Step-by-step explanation:
If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.
It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21
P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%
Can someone please help me with this??
Answer: (x,y)=(-2/3,15)
Negative 2 over three
The numerical coefficient in "6m" is:
The numeral coefficient is the number ( the one that we know)- so its 6
Nina and Jo both ran an 8 km race. Nina took 45 minutes to run the whole race. Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Answer:
6.0869 mph
Step-by-step explanation:
Nina:
8 km: 45 mins
Jo:
8 km: 49 mins
Speed = distance / time
Speed= 8 / 49
HEY PLEASE I NEED HELP IM OFFERING 30 POINTS
which point is a solution to the given system of inequalities
x+4y>12
3y>x+6
A.(-4,6)
B.(5,2)
C.(0,3)
D.(-2,3)
Answer:
the first option, (-4, 6)
Step-by-step explanation:
for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.
1. (-4,6)
x + 4y > 12
-4 + 4(6) > 12
20 > 12 is true
now we can substitute the second inequality.
3(6) > -4 + 6
18 > 2 is true, therefore making this set of points true.
it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :
5 + 4(2) > 12
5 + 8 > 12
13> 12 is true
3(2) > 5 + 6
6 > 11 is not true
the rest of the answer choices are also not true.
I hope this helped you!
Answer:
(-4, 6)
Step-by-step explanation:
Im having trouble on these ones. Can someone help>
Answer:
9. 40°
10. 50°
11. 270°
12. 310°
Step-by-step explanation:
m∠BPC = 40° because it is complementary to ∠APB, which is 50°.
Arc AB is 50° because it will be equal to the central angle, which is 50°.
Arc ADC is 270° because it will be equal to the central angle, which is 270°.
Arc ADB is 310° because it will be equal to the central angle, also 310°.