Answer:
FV= $712.88
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $500
Number of periods (n)= 12 years
Interest rate (i)= 3% compounded annually
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.03^12)
FV= $712.88
Answer:
25%
Step-by-step explanation:
Because she divided it
i am beyond confused
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
Answer:2:5
Step-by-step explanation: you have 2 red marbles which is the numerator and 5 as the denominator because it is the bigger number .
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
Answer:
17.5 meters
Step-by-step explanation
I included an illustration of what they are asking for.
Notice, since the light of the sun is coming from the same place, the shadow angles relative to the ground, X and Z, will be the same. So the triangles formed are similarUse SOH CAH TOA to find the angle Z This just means when you have an angle in a right triangle, in order to know whether to use Cosine, Sine or Tangent, look at what sides you haveWe have the sides opposite (O) and adjacent (A) to angle Z, so we tangent (T)[tex]\tan (Z)=\frac{O}{A}\\\tan (Z)=\frac{10m}{8m}=1.25[/tex] Now since angle Z equals X, they have the same tangent valueSo we can use that to find the building height, which it the opposite (O)Don't forget to use the new adjacent 14m[tex]\tan (X)=\frac{O}{A}\\1.25=\frac{O}{14m}\\O=(1.25)(14m)\\O=17.5m[/tex]Which is equal to K-L ?
Answer:7 -3
6 0
13-6=7
7-10=-3
25-19=6
18-18=0
Step-by-step explanation:
Answer:
third option from the top
Step-by-step explanation:
7. -3
6. 0
80 L is what percent of 400 L tank
Answer:
50%
Step-by-step explanation:
BRAINLIEST PLEASE
Answer:
the percentage of 80L from 400L is 20%
Step-by-step explanation:
in order to find the percentage of something you need to divide the total amount from the number you want to find the percentage of:
80 / 400 = 0.2
we now multiply 0.2 by 100 to turn it into a percentage:
0.2 * 100 = 20%
Is the relation a function? If it is a function, state the domain and range. If not, circle or
highlight the part that causes it to not be a function.
Answer:
Please check the explanation.
Step-by-step explanation:
Writing this relation in set notation using curly braces:
{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}
The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.
Hence, this relation is a function.
We know that the domain is the set of all x values.
Thus, the domain is: {1, 2, 3, 4, 5}
We know that the domain is the set of all y values.
Thus, the range is: {-1, 0, 3, 5, 6}
What is the value of V81
[tex] \sqrt{81} [/tex]
what do you divide (-2/3) with to get 3/10
Answer:
the equation forms like this
-2/3 divide x =3/10
Solve for
x
by cross multiplying.
Exact Form:
x=− 20/9
Decimal Form:
x=−2.¯2
Mixed Number Form:
x=−2 2/9
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,-6) and (-9,6)
Answer:
13
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]
8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?
Answer:
7 dollars
Step-by-step explanation:
Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8
An airplane is 4,000 feet above the ground. It begins to descend at a rate of 140 feet per minute. How many minutes will it take until the plane is 2,600 feet above the ground?
Answer:
10 minutes!
Step-by-step explanation:
140 * 10(min) = 1,400
4000 - 1,400 = 2,600 ft
so will take 10 minutes for the plane to descend 1,400 ft
Answer:
10 minutes
Step-by-step explanation:
in five minutes it will descend by 700 feet so multiply that by 2 you get 1400 and thats how much to add and thats 10 minutes so 10
You are selling candy bars for a fundraiser. you want to sell at least $200. If snickers cost $2 per bar and M&M's cost $3 per bag, then write an inequality that represents all the possible combinations you can sell to meet your goal.
Answer:
Step-by-step explanation:
Goal = > $2500
Amount raised = $700
Amount needed to raise = $2500 - 700 = $1800
Number of candy bars needed = x
Price of a candy bar = $1.50
1.5x > 1800
x > 1800 ÷ 1.5
x > 1200
Answer: They need to sell more than 1200 candy bars.
Please show how u got your answer
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
Answer:
131.25 miles
Step-by-step explanation:
if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
Use the graph below for this question: A 6 4 3 What is the average rate of change from x = -1 to x = -2? (1 point) 2 - 2 4 -1
Answer:
- 2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, - 1 ] , then
f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )
f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus
average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm
Answer:
The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.
Step-by-step explanation: If thats
not right, then i am sorry, i am just getting started
A real estate agent earns a 2% commission on each home that he sells. What is his commission if he sells a home worth $1,000,000?
How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?
Answer:
It depends how much they get paid which is 20 dollors
Step-by-step explanation:
SO THE ANSWER IS 20
{(2,0), (4, -3), (6, 9), (-2,7), (4,9)}
What is the range?
um...? idk
Answer:
(8,9)
Step-by-step explanation:
The biggest number minus the smallest number.
i need help 5+(−4)+(−7)+2
can you guy help me for this questions
Answer:
-4
Step-by-step explanation:
first remove the parentheses
5-4-7+2
then calculate the sum or difference
-4
2x^2+15x=8
factor or solve as indicated, show all work.
please and thank u!
Answer: x= -8 or x = 1/2
Step-by-step explanation:
2x^2 + 15x = 8 Subtract 8 from both sides to let the whole equation equal 0
- 8 -8
2x^2 + 15x - 8 = 0 Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1. 16 times -1 is -16 and 16 plus -1 is 15.
Rewrite the whole equation in this form,
2x^2 +16x - 1x - 8 = 0 Factor on the left side
2x ( x + 8) -1 (x + 8) = 0 Now factor out x + 8
(x + 8) (2x -1) = 0 Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.
x + 8 = 0 or 2x - 1 = 0
-8 -8 +1 +1
x = - 8 2x = 1
x = 1/2
Simplify as far as possible.
√
18
−
√
2
Answer:
3
Step-by-step explanation:
√18 / √2 = √(9x2) / √2 = 3√2 / √2 = 3
plz help i need help im failing
Answer: It is D
Step-by-step explanation:
It is the 4th table
For x and y values to be a function, it must pass the vertical line test. This means that for every y value, there must be a different x value, or there can be two y values for one x value.
A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?
Answer:
The radius of the clock is 7.72 meters
Step-by-step explanation:
Here, we want to calculate the radius of a clock which has a circumference of 48.5 m
Mathematically;
Circumference C = 2 * pi * r
48.5 = 2 * 22/7 * r
7 * 48.5 = 44r
r = (7 * 48.5)/44
r = 7.72 meters
Will mark as brainliest!!!!!!!!!!
Answer:
hi I just wanna talk ;)
Step-by-step explanation:
2x + y = 7 3x -2y = -7 solve by substitution
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(1, 5)
Equation Form:
x = 1, y = 5
Brainliest Please!!
The solution for the given equations: x = 1 , y = 5.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given, equations
2x + y = 7 -------(a)
3x -2y = -7 -------(b)
Taking equation (a)
2x + y =7
y = 7 - 2x ------(c)
Substituting value of y in equation (b) from equation (c)
3x - 2(7 - 2x) = -7
3x - 14 + 4x = -7
7x = 7
x = 1
Putting value of x in equation (c)
y = 7 - 2 (1)
y = 5
Hence, x = 1 and y = 5 is the solution for the given equations 2x + y = 7 and 3x -2y = -7.
Learn more about substitution method here:
https://brainly.com/question/14619835
#SPJ2
GMM
The numbers are
36
X
And 46 degrees
Answer:
45
Step-by-step explanation:
just had that q and sumbitted my quiziz and got it correct
a 40ft flag pole has a rope tied from the top to the ground. the rope makes a 25 degree angle with the ground, how long is the rope
Answer:
The rope is 94.65 feet.
Step-by-step explanation:
What is the slope of the line that passes through the points (-10, 8) and (−15,−7)? Write your answer in simplest form.