You put $200 into an account earning 6% interest compounded yearly.
Write a rule to model the situation. Your answer should not include spaces and be formatted like: y=3(4)^x
Based on your equation, when will the account be worth $2500? Round your answer to the nearest hundredths place and do not include labels. Ex. 3.14
Answer:
y = 200(1.06)^xStep-by-step explanation:
Given:
Initial amount = 200Interest rate = 6% or 0.06 timesNumber of compounds = 1Number of years = xFinal amount is:
y = 200(1 + 0.06)^x ⇒y = 200(1.06)^xA store sells boxes of crayons. The boxes come in two sizes. A small box holds 12 crayons. A large box holds 38 crayons. In one day, the store sold 18 small boxes and 32 large boxes of crayons.
Which answer is the most reasonable estimate of the total number of crayons the store sold that day?
500 crayons because 10 × 30 + 20 × 10 = 500
1,000 crayons because 10 × 10 + 30 × 30 = 1,000
1,100 crayons because 40 × 20 + 10 × 30 = 1,100
1,400 crayons because 10 × 20 + 40 × 30 = 1,400
Answer:
500
Step-by-step explanation:
10x30
Answer:
1,400 crayons because 10 × 20 + 40 × 30 = 1,400
Step-by-step explanation:
you basically just estimate
A spinner has 4 equal sections makes blue, green, yellow blue. Spinner points to blue 68 out of 100 spins. If the spinner is spun 50 more times , how many times would you expect the pointer to land blue?
Answer
30
Step-by-step explanation:
The sum of two numbers is 8. Two times the larger number plus four times the smaller number is 8. Find the numbers.
Answer: 12 and -4
Step-by-step explanation:
Assume the larger number is x and the smaller one is y.
In that case the relevant simultaneous equations are:
x + y = 8
2x + 4y = 8
Use substitution to find relative value of y:
x + y = 8
y = 8 - x
Use to solve equation:
2x + 4y = 8
2x + 4(8 - x) = 8
2x + 32 - 4x = 8
2x - 4x= 8 - 32
-2x = -24
x = -24 / -2
x = 12
y = 8 - x
= 8 - 12
= -4
find the slope and a point on the line for the lines with the following equation y - 9 = -3/4(x + 4)
Answer:
Slope is -3/4 the y-intercept is (0,6)
Step-by-step explanation:
Answer this if you're Smart!!!
1+1x(13-1x15)+123x(23/4)=
Answer:
706.25
Step-by-step explanation:
well i be smart my friend XD
1 + 1 (13 - 1 * 15) + 123 (23 / 4)
1 + 1 * - 2 + 123 x 5.75
1 - 2 + 707.25
-1 + 707.25
706.25
Answer:
Step-by-step explanation:
1 × 1(13 - 1 × 15) + 123 × (23/4) = 1 × 1(13 - 15) + 123 × (23/4)
= 1 × 1(-2) + 123 × (23/4)
= 1 × (-2) + 123 × (23/4)
= 1 × (-2) + 123 × (5.75)
= -2 + 123 × (5.75)
= -2 + 707.25
= 705.25
find the value of the slope and the type of slope
Answer:
-5
Step-by-step explanation:
Each time the x value goes up 1, the y value goes down 5.
change in x = 1
change in y = -5
slope = (change in y)/(change in x)
slope = -5
Answer:
-five
Step-by-step explanation:
rise over run
When calculating the discriminant if your answer was 16, what does that say about your roots?
Answer:
Your roots are equal to 16
Is the situation continuous or discrete?
Answer:
continuous
Step-by-step explanation:
5 Discuss FIVE important steps relating to career decision making
At an amusement park 40%of the tickets were sold in the 1st hour if 800 tickets were sold in an hour how many tickets were sold in a day
Answer:
40% = 0.40
800 / 0.40 = 2000 total tickets were sold
Step-by-step explanation:
Determine which is the graph of the given function.
-0.57+ 5 if x <1
=
-0.5(x + 5) if x 1
A turtle travels mile in hour. At this rate, how far can the turtle travel in an hour
1/18 mile
2/9 mile
4 1/5 miles
4 1/2 miles
Answer:
4 1/2
Step-by-step explanation:
The origional question is ¨A turtle travels 1/2 mile in 1/9 hour. At this rate, how far can the turtle travel in an hour¨ To be honest i have no clue how to explain it but that is the awanser.
The turtle will travel [tex]4\frac{1}{2}[/tex] in an hour.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Given that, a turtle travels 1/2 mile in 1/9 hour. we need to find, at this rate, how far can the turtle travel in an hour.
We will solve this by using proportionality, since, rate is constant,
Let the turtle travels x miles in an hour,
Therefore,
x / 1 = (1/2) / (1/9)
x = 1/2 × 9
x = 9/2
x = [tex]4\frac{1}{2}[/tex]
Hence, the turtle will travel [tex]4\frac{1}{2}[/tex] in an hour.
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Work out the size of angle x.
38°
х
101°
The size of the angle 'x' is 117°
The external angle of a triangle:An external angle of a triangle is an angle formed by extending one side of the triangle and intersecting with the extension of another side.
In a triangle, the measure of an external angle is equal to the sum of the measures of the two opposite interior angles.
Here we have a triangle
Let the ABC be the triangle as given in the picture
=> ∠A = 38°
From the baseline BC
=> Measure of B = 180° - 101° = 79°
As we know
In a triangle, the measure of an external angle is equal to the sum of the two opposite interior angles
=> x = ∠A + ∠C
=> x = 38° + 79°
=> x = 117°
Therefore,
The size of the angle 'x' is 117°
Therefore,
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Write an equation for each line. A graph. Line k. Line m. Line p. Line r.
Answer:
line k: y = x + 4
line m: y = -2x + 4
line p: y = -6
line r: x = 1
Step-by-step explanation:
The equation for each line considering the graph is line k: y = x + 4, line m: y = -2x + 4, line p: y = -6, line r: x = 1
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Calculate the slopes of the lines as shown below,
[tex]m = y_2 - y_1 / x_2 - x_1[/tex]
For line k, m = 0 - (-4) / -4 -0
m = -1
Thus, the equation of a line having slope -1 and coordinates (0, 4) can be written as,
[tex]y-y_1 = m(x- x_1 )[/tex]
y - 4 = -1(x-0)
y -4 = -x
y = -x + 4
Similarly, write the equation for lines m, p, and r,
line m: y = -2x + 4
line p: y = -6
line r: x = 1
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The volume of the rectangular prism is ___ cubic units.
Answer:
144 cube units
Step-by-step explanation:
volume = width*height*length
V=12*3*4
V=144 cube units
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
Which statement best describes the relationship in the table?
A
The number of minutes is proportional to the number of pages, with a unit rate of
1.5 minutes per page.
B. The number of minutes is proportional to the number of pages, with a unit rate of
2.25 minutes per page.
C. The number of minutes is proportional to the number of pages, with a unit rate of
4.5 minutes per page.
D. The relationship in the table is not proportional.
Answer:
B
Step-by-step explanation:
change in y-values is a constant 4.5
change in x-values is a constant 2
4.5/2 = 2.25/1 [this means 2.25 minutes per page]
Suzanne can put up 20 feet of fencing in 64 minutes. How many minutes will it take her to put up 35 feet of fencing?
Answer:
112 minutes
Step-by-step explanation:
Suzanne can put up 20 feet of fencing in 64 minutes.
We need to find minutes it will take to put up 35 feet of fencing.
20 feet = 64 minutes
1 feet = (64/20) minutes
For 35 feet,
[tex]35\ feet=\dfrac{64}{20}\times 35\\\\=112\ minutes[/tex]
So, it will take 112 minutes to put up 35 feet of fencing.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
c
Step-by-step explanation:
sum of two numbers x and y is 140
x+y=140
the difference between x(the larger number) and y( smaller number)
x-y=32
Answer:
a
Step-by-step explanation:
Vanessa bought some cupcakes and brownies at the school bake sale.
She bought 25 items in total and spent $40.
Each cupcake costs $2 and each brownie costs $3.
Answer:
6 brownies and 2 cupcakes.
Step-by-step explanation:
Solve each inequality and graph the solution. 1. 5w ≥ –6w + 11
2. 7h + 4 > 5 – 5h
Bob challenges Alice to a swimming race from one end of a 10-meter pool tothe other. Bob is so confident he will win that he lets Alice use the starting blockbecause diving in from there will give her a lead. He will start in the pool at the wall.Alice accepts the offer. At time t=0 seconds, Alice hits the water 2 meters out fromthe edge of the pool at a constant speed of 1 meter per second, which she maintainsthroughout the race. Meanwhile, at t=0, Bob starts off from rest at the pool walland is speeding up. Bob’s distance from the wall at any given time, t, is given byBt()=0.25t2, where Bt() measures the distance from the starting point at the poolwall. Will Bob be able to beat Alice to the opposite end of the pool? Is it possible forBob to win, and if so, how long would the pool need to be for him to win?
Bethany purchased gasoline at four different gas stations. The table shows the total cost of the gasoline she
purchased at each station.
Cost of Gasoline
Gas Station
Number of
Gallons
Total Cost
(dollars)
w
10
30.38
х
17
52.36
Y
16
48.48
z
19
57.95
At which gas station was the cost per gallon of gasoline the highest?
Answer: station X
Step-by-step explanation:
Because it was 3.08 the rest were lower
Answer:
Answer: station X
Step-by-step explanation: I got it right on the test i know im right.
The height of a ball t seconds after it's thrown into the air
from the top of a building can be modeled by h(t) = -16t? +
48t + 64, where h(t) is height in feet. After how many
seconds does the ball hit the ground?
0-1 sec
O 2 sec
O 4 sec
0 1.5
for the ball to get to the ground the h=0 no hight it is now in the base point.
substitute the value t=0 into the equation we get 64.
since we want to know the time in seconds then we should subtract 60 from 64 (64-60=4)
then my answer is 0-4.
I'm not sure it's correct just wait for others to respond
The y-intercept of y=2.5^x-6
Answer:
-6
Step-by-step explanation:
-6 is the y-intercept :)
will you please tell me what the answer is
Answer:
Ummm idek L O LLLLLL
Step-by-step explanation:
anyone would like to help me out ??
Answer: 1
Step-by-step explanation:
The slope of a line perpendicular to x+y=5 is 1
(10-x)(3x -9)=0
NEED HELP ASAP
Answer:
Step-by-step explanation:
Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.
(10-x)(3x-9)=0 when
10-x=0, x=10
3x-9=0, x=9/3=3
So there are two solutions when x=3 and x=10
The number of days, d, required to complete a job varies inversely as the number of workers, w, on the job.
If it takes 9 days for 8 workers to complete a job, then how many workers would it take to do the job in 18 days?
Answer:
4
Step-by-step explanation:
this one is an easy relationship- if you have double the time (18 vs9), then you need half the workers (8/2)
Find the value of x in the triangle shown below.
X°
23°
48°
The value of x in the triangle shown is 68.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We are Given triangle is an isoceles 56=56
Thus, the sum of angles of triangle is 180.
X+56+56=180
X=180-112
X=68
Therefore, the value is X is 68.
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