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)^xIn a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.
Complete Question
In a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.
What percentage of this country's men are eligible for the military based on height?
Answer:
95.45 %
Step-by-step explanation:
We solve using z score formula
z-score iis z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 69
σ is the population standard deviation = 2.2
For x= 64.6 inches
z = 64.6 - 69/2.2
z = -2
Probability value from Z-Table:
P(x = 64.6) = 0.02275
For x= 73.4 inches
z = 73.4 - 69/2.2
z = 2
Probability value from Z-Table:
P(x<73.4) = 0.97725
The probability of this country's men are eligible for the military based on height is calculated as:
p(x = 73.4) - p( x = 64.6)
0.97725 - 0.02275
= 0.9545
Converting to Percentage is
= 0.9545 × 100
= 95.45 %
Lin opened a lemonade stand during the summer. She
noticed that she sold more lemonade on warmer days.
For each day she sold lemonade, she plotted the point
(t,c), where t represents high temperature and c
represents cups of lemonade sold.
b. A computer program found that the line c= 2t - 89
is a good fit for the data. Use this equation to predict
how many cups of lemonade Lin might sell on a day
when the high temperature is 74 degrees.
Use the sketch pad to show or explain your thinking.
Answer:
3
Step-by-step explanation:
At work, Mr. Grinnell receives 20 phone calls every 60 minutes. How many calls should he expect to receive in 180 minutes?
60
80
100
40
Answer:
Use a ratio.
20/60 = x/180
180/60 = 3, so 20*3 is 60.
The answer is 60.
Answer:
60
Step-by-step explanation:
Find out how many phone calls Mr. Grinnell receives in 1 minute.
60 mins = 20
1 min = 20 ÷ 60 = 0.333
180 mins = 0.333 x 180 = 59.94
59.94 rounded to the nearest whole number = 60
Solve each inequality and graph the solution. 1. 5w ≥ –6w + 11
2. 7h + 4 > 5 – 5h
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.
I AM BEGGING, PLEASE HELP ME. CAN SOMEONE PLEASE HELP ME!
I NEED IT QUICK:
WHAT IS THE VALUE OF X - YOU DONT HAVE TO EXPLAIN YOUR ANSWER I JUST NEED THE VALUE OF X
Answer:
37.5
Step-by-step explanation:
180-75 = 105
180 is the sum of all the angle in a triangle
180-105 = 75
75/2 = x becuz the triangle is icoceles
=37/5
Hope this helps :) Giving me brainiest would help a lot :))
help please quick! show work please.
Use the area to find the value of x:
Answer:
Step 1:divide
276/12=23
Step 2:
answer it!
Step-by-step explanation:
Your answer is 23. Divide the sf by the ft then you get x.
Answer: 23 ft
Step-by-step explanation: If you divide 276 by 12 your answer will be 23 ft.
(x^7 + 3x^6 - x^2 + 4) + (3x^7 - x^4 + 3x^2 - 9) add
Answer:
4x^7 + 3x^6 - x^4 + 2x^2 - 5
Zach wants to buy a skateboard that costs $85. He currently has $15 saved. Zach plans to save d, dollars to have enough to buy the skateboard. Which equation represents the amount of money Zach still needs to buy the skateboard? *
Answer:
85 = 15 + d
d = 70
Step-by-step explanation:
Cost of a skateboard = $85
Zach savings = $15
Amount needed more to save = $d
Which equation represents the amount of money Zach still needs to buy the skateboard?
Total cost = available savings + more savings
85 = 15 + d
85 - 15 = d
70 = d
d = 70
HURRY I NEED HELPPPPP !!!!
Write each expression as a single power of 10 .
A. 10^(−3) ⋅ 10^(−2)
B. 10^4 ⋅ 10^(−1)
C. 10^5/10^7
D. (10^(−4))^5
E. 10^(−3) ⋅ 10^2
F. 10^y / 10^5
Answer:
A. 10^(−3) ⋅ 10^(−2) = 10^-5
B. 10^4 ⋅ 10^(−1) = 10^3
C. 10^5/10^7 = 10^-2
D. (10^(−4))^5 = 10^-20
E. 10^(−3) ⋅ 10^2 = 10^-1
F. 10^y / 10^5 = 10^(y-5)
Ahmad went on a bicycle tour. In the first two hours , he averaged 12 km/h; but in the next three hours he averaged 8 km/h;. A)Calculate the total distance covered b) , calculate his average speed for the whole journey
Answer: See explanation
Step-by-step explanation:
We are informed that Ahmad averaged 12 km/h in the first 2 hours. Total distance for the first 2 hours = 12km × 2 = 24km.
In the next three hours he averaged 8 km/h. The total distance for the next 3 hours = 8km × 3 = 24 km
A) Calculate the total distance covered.
This will be the distance covered for the 5 hours. This will be:
= 24km + 24km
B. Calculate his average speed for the whole journey.
This will be:
= Total distance covered / Total time taken
= 48km / 5
= 9.6 km/hour
5 Discuss FIVE important steps relating to career decision making
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
To know more about the line:
https://brainly.com/question/2696693
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The slope of the tangent to a curve at any point (x, y) on the curve is negative x divided by y . Find the equation of the curve if the point (2, -2) is on the curve.
x + y = 0
x^2 - y^2 = -2
x^2 + y^2 = 16
x^2 + y^2 = 8
Answer:
.
Step-by-step explanation:
.
Answer:
i belive its x^2 + y^2 = 8
Step-by-step explanation:
PLEASE SHOW WORK AND EXPLAIN IM AM VERY CONFUSED ASAP WILL GIVE BRAINLIEST 10 MINUTES TILL ITS DUE
Answer:
b
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = 4x + 3 (subtract 3 from both sides )
y - 3 = 4x ( divide both sides by 4 )
[tex]\frac{y-3}{4}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-3}{4}[/tex] → b
Find The Volume (nearest integer):*
Answer:
3053.63 or to the nearest integer 3054
Step-by-step explanation:
Volume formula of a sphere
[tex]V=4/3\pi r^3\\V=4/3*\pi *9^3\\V= 3053.63 \\[/tex]
Rounded off = 3054
Expand (- 3a - 5x) (- 2b - 4y).
Answer: −3a(−2b−4y).−5x(−2b−4y). to this
6ab+12ay+10bx+20xy
Step-by-step explanation: hope this helps :)
Answer:
( −3a − 5x ) ( −2b − 4y )
= ( −3a + − 5x ) ( −2b + −4y )
=( −3a ) ( −2b ) + ( −3a ) ( −4y ) + ( −5x ) ( − 2b ) + ( − 5x ) ( − 4y )
= 6ab + 12ay + 10bx + 20xy
Hope it helps
Please mark me as the brainliest
Thank you
find the nth term - 8,14,20,26
Henry's height is 3 inches more than one-half of Charlie's height. If Henry is 24 inches tall, how tall is Charlie?
Answer:
Charlie is 20.5 inches tall
Step-by-step explanation:
Henry: 24 inches
3 and 1/2 inches taller than Charlie
Charlie: 24 - 3.5 inches
20.5 inches
Answer:
9 inches
Step-by-step explanation:
henry = 3 inches more than 1/2 of charlie
24=henry
24/2= 12-3=9 inches hope this helps
1
Which is an equation of the line with slope 2 that contains the point (6,4)?
a.y= 22 - 8
1
y =
+1
b.
х
1
2
2 +4
C С.
1
y =
2
Question 2
Which is the equation of a line that passes through the point (5, 6) and has a slope of O?
a.y = 5
b.y=6
X cx=5
d. x = 6
Okoo
Answer:
Step-by-step explanation:
1. y - 4 = 2(x - 6)
y - 4 = 2x - 12
y = 2x - 8
2. y - 6 = 0(x - 5)
y - 6 = 0
y = 6
answer is b
The slope of the line below is-2. Which of the following is the point-slope
form of the line?
10-
10
10
(4-8)
10-
A. y + 8 = -2(x-4)
B. y - 8 = -2(x + 4)
c. y - 4 = -2(x+8)
a
D. y+ 4 = -2(x-8)
Answer:
A
Step-by-step explanation:
y-y1 = m(x-x1)
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:
Jonas wants to paint the walls of his bedroom and the
ceiling. The dimensions of his room are 7 feet by 12 feet
by 8 feet
What statements about calculating the surface area of
the walls to be painted are correct? Select all that
apply.
Include the areas of all six faces.
Include the areas of five faces.
7 ft
Include the areas of four faces.
The surface area that will be painted is 376 ft?.
The surface area that will be painted is 472 ft2.
8 ft
12 ft
Answer:
Include the areas of five faces.
The surface area that will be painted is 376 ft2.
Step-by-step explanation:
Answer:
Include the areas of five faces
The surface area that will be painted is 376 ft2.
2 and 4
Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).
Answer:
The speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind) is approximately 2.9 km/h
Step-by-step explanation:
In the question, we have;
The speed of the tailwind = 2 km/h
The time it takes Baba Yaga to the Bald Mountain = 6 hours
The location where Baba Yaga finds her broom = 40 km before Bald Mountain
The duration of the entire journey = 9 hours
Let 'v' represent the speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind), we get;
(v + 2) × t = (v - 2) × (t - 9)
v·t + 2·t = v·t - 9·v - 2·t + 18
2·t = 18 - 9·v - 2·t
4·t = 18 - 9·v
t = 4.5 - 2.25·v
(v + 2) × 6 = (v - 2) × (t - 9) + 40
6·v + 12 = (v - 2) × (4.5 - 2.25·v - 9) + 40
6·v + 12 = (v - 2) × (-2.25·v - 4.5) + 40
With a graphing calculator, we have;
6·v + 12 + 2.5·v² - 0.5·v - 9 - 40 = 0
5·v² + 11·v - 74 = 0
Using the quadratic formula
v = (-11 ± √(11² - 4·5×(-74)))/(2·5)
v ≈ 2.9, or v ≈ -5.1
Therefore;
The speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind), v ≈ 2.9 km/h
A 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
Order the steps to solve the equation log(x2 - 15) = log(2x) form 1 to 5.
x² – 2x - 15=0
Potential solutions are -3 and 5
x² – 15 = 2x
X-5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0
Answer:
Took L for my gang keep working hard
Step-by-step explanation:
Jack correctly wrote another expression, 100−2t 100 - 2 t , to find the number of tickets Kate has now. Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.
Complete question :
Kate had 50 tickets to use for rides at the fair. She lost some of them. Her dad doubled the tickets she had left. Kate wrote the expression 2(50−t) to find the number of tickets she has now, where t t is the number of tickets she lost. Jack correctly wrote another expression, 100−2t, to find the number of tickets Kate has now. Use the drop-down menus to explain what each part of Kate's and Jack's expressions mean.
Answer:
50 means Kate's initial number of tickets
t = number of tickets she lost
2 = multiple by which her dad gave ; two times the number of her remaining tickets.
100 = double the number of initial tickets
2t = two times the number of tickets lost
Step-by-step explanation:
Kate's expression :
2(50 - t)
50 means Kate's initial number of tickets
t = number of tickets she lost
2 = multiple by which her dad gave ; two times the number of her remaining tickets.
Jack's expression:
100 - 2t
Jack's expression is an expanded for of Kate's equation
100 = double the number of initial tickets
2t = two times the number of tickets lost
2(50 - t) :
(2 * 50) - (2 * t)
100 - 2t
How many times will a circle's diameter fit around that circle?
3 times
Step-by-step explanation:
The exponential function h, whose graph is given below, can be written as h(x) = a•b^x
Complete the equation for h(x).
Answer:
1,6
Step-by-step explanation:
1,6 thats how