Step-by-step explanation:
P=principle balance
r= interest rate
n= no. of times interest compounded per year
t= time period.
[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]
BRAINLIST PLS
Based on the information given the balance after 10 years is $4579.94
Balance after 10 yearsUsing this formula
Amount=P(1+r/n)^nt
Where:
P=principle balance=2500
r= interest rate=6.1%
n= Number of times interest compounded per year=4
t= time period=10 years
Let plug in the formula
Amount=2500(1+0.061/4)^4×10
Amount=2500(1+0.01525)^40
Amount=2500(1.01525)^40
Amount=$4579.94
Inconclusion the balance after 10 years is $4579.94
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Find the slope (-10,-3) (7,2)
Answer:
Let (-10,-3) be (x1, y1)
and (7, 2) be (x2, y2).
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Substitute in values:
[tex]\frac{2-(-3)}{7-(-10)} =\frac{5}{17}[/tex]
Answer:
5/17
Step-by-step explanation:
Slope = Change in /Change in X
Slope = 2 - (-3) / 7 - (-10)
Slope = 5/17
-Chetan K
A farmer has two tractors. The probability that
tractor 1 will break down is 3% and the
probability that tractor 2 will break down is
5%. What is the probability that both tractors
will break down on a given day? Give your
ansineras
Step-by-step explanation:
the break down probabilities are for the same given day ? one day ?
if that is so, then the expected value for a break down day for tractor 1 will be 34 days (rounded up 100%/3%), and for tractor 2 20 days (100%/5%).
that would be horrible. a tractor would only work for about a month without major repair.
because normally such probabilities are given for a warranty period like 1 or 3 or 5 years.
but the description does not say anything about that. so, we have to go with the primary assumption.
so, the question is about the probability that both things happen at the same time (the same day).
this is like asking for the probability of rolling a double 6 with two dice - both events (a 6 on a die) have to happen "together". so it is the probability of one event multiplied by the probability of the second event : 1/6 × 1/6 = 1/36
5% = 0.05 (5% is 5 hundredths) = 5/100
3% = 0.03 (3% is 3 hundredths) = 3/100
now both events (break-down of both tractors) happen together means 5/100 × 3/100 = 15/10000 = 0.0015
that means the probability in % is 0.15%
that means in other words, this event (both tractors breaking down on the save day) is expected to happen 15 times in 10000 days, or once every 667 days (or roughly every 2 years).
During a sale, a store offered a 20% discount on a camera that originally sold for $650. After the sale, the discounted price of the camera was marked up by 20%. What was the price of the camera after the markup? Round to the nearest cent.
Answer:
$624
Step-by-step explanation:
650 * .80 = 520
520 * 1.20 = 624
A new video streaming and renting company Webflix claims it is better than its competitors. They charge $3.00 per month plus $1.25 per rental of new movie releases. A close competitor refutes the claims of Webflix and stated that they are actually better than its competitors. Zulu charges $4.00 per month plus
$1.00 per rental of new movie releases.
a) If you rent 7 movies, which streaming service would cost more? Explain/show your reasoning
b) Write a system of equations representing the total costs of the two streaming companies based on x
movie rentals.
c) How many movie rentals would it take for the streaming services to cost the same? Explain/show
your reasoning
d) Make an argument on which streaming service is the better cost.
Answer:
A
Step-by-step explanation:
I I think that's the answer
5 razor blades cost 35p find the cost of 15 razor blades
Answer:
The cost would be 105p
Step-by-step explanation:
If 5 razor blades equals 35 p 5x3=15 so 35x3=105
Answer:
the ansawer would be 105
Step-by-step explanation:
You could figure this out by either multiplying 35 by 3 since 35 is 5 blades, and 5 multiplied by 3 is 15, you can also multiply 35 by 3.
You can also use ratios to figure it out. You'd have to set it up like this; 5 to 35 then you'd have to divide both 5 and 35 by 5. You'd get 1 to 7. Then, finally multiply the ratio by 15, getting 15 to 105.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the from the 1st hour to the 4th hour? Be sure to include the correct units of measurement
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.
X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)
The rate of change is 24 / 3 = 8.
The answer is 8 dollars per hour.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.
At the end of the night, the driver calculates his profits and makes a graph to analyze the data.
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 = 78 ,
at 1 = 54
the change is 78 - 54 = 24.
X is the time the change from 4 to 1 = 3
The change is ( 4 - 1 = 3)
The rate of change = 24 / 3 = 8.
Therefore, The answer is 8 dollars per hour.
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Write the statement "--5 times x subtracted from 22 is less than 9 more than
x" as a mathematical inequality. I dont know this sorry
Answer:
5x-22<9<x
Step-by-step explanation:
5 times x = 5x
subtract 22 = 5x-22
less then = 5x-22<
9 more then x = 5x-22<9<x
Audrey & Jack begin a candlelight
dinner at 5pm with a 9-inch candle. At
8pm, their candle is only 3 inches.
What is the average rate of change of
the height of the candle per hour?
Answer:
-2 inches per hour
Step-by-step explanation:
Finding the average rate of change is just like finding the slope. So, take the y values (height) and subtract them and divide that by the difference in the x values (time).
( 3 - 9 ) / ( 8 - 5 )
= -6 / 3
= -2 inches per hour
This shake is made from five congruent triangles. Find the total area of the shape
Area of one triangle = [tex]A = \frac{a·b}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 {cm}^{2} \\ [/tex]
For 5 triangles = [tex]9 \times 5 = 45 {cm}^{2} [/tex]
- BRAINLIEST answerer
what is the slope of the equation above?
Isabelle ran a distance of about 26 miles during a marathon. In other countries, kilometers is used to measure length. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of kilometers Isabell ran?
Answer
A
16.3 kilometers.
B
41.6 kilometers.
C
7.2 kilometers.
D
53.5 kilometers.
Answer:
Step-by-step explanation:
b
47-?=50-35 please help
Answer:
x = 32
Step 1: Solve the right-hand side of the equation.
47 - x = 50 - 35
=> 47 - x = 15
Step 2: Subtract '47' from both ends.
=> 47 - x = 15
=> -x = 15 - 47
Step 3: Solve for x.
=> -x = -32
=> x = 32.
Hoped this helped.
The average bedroom is an apartment is approximately 16x10
Answer:
Bro what to find with this
Answer:
which would mean it would have the area of 160 square feet
Step-by-step explanation:
Zachary wants to ride his bicycle 26.8 miles this week. He has already ridden 8 miles.
If he rides for 4 more days, write and solve an equation which can be used to
determine m, the average number of miles he would have to ride each day to meet his
goal.
Answer:
4.7 ~~~ :D
Step-by-step explanation:
t = total...i = initial amount ridden......d = days..... m = average amount of miles
---------------
t = i +dm
26.8 = 8 + 4m
----------------- solve -----------------
26.8 = 8 + 4m ----> 18.8 = 4m ----> 4.7 = m
The expression is 26.8 = 8 + 4m and the average number of, miles he would have to ride each day to meet his goal is 4.7.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Let the attributes be, t = total, i = initial amount ridden, d = days, and m = average amount of miles.
The required expression can be written as below:-
t = i +dm
26.8 = 8 + 4m
The value of average miles will be calculated by solving the expression:-
26.8 = 8 + 4m
18.8 = 4m
4.7 = m
Therefore, the expression is 26.8 = 8 + 4m and the average number of, miles he would have to ride each day to meet his goal is 4.7.
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Bacteria colonies can triple in size every 4 days. If you start with 150 bacteria microorganisms, how large would the colony be after 16 days? First, complete the equation: Future Amount = 150(1+[?]
Answer:
But notice that the colony tripled 4 times in 16 days, or it tripled 16 / 4 = 4 times.
Step-by-step explanation:
150 x 3 x 3 x 3 x 3 = 150 x 34 = 150 x 81 = 12,150.
Hope this helps
Answer:
ha i got nothing
Step-by-step explanation:
he i got nothing
Amy buys 16 envelopes for 14p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.
Answer:
£2.76
Step-by-step explanation:
The cost of Amy's purchase is ...
16×(£0.14) = £2.24
Her change from £5.00 is ...
£5.00 -2.24 = £2.76 . . . . Amy's change
Use point-slope form to write the equation of a line that passes through the point
(-6,3) with slope – 2.
Answer:
y = -2x - 9
Step-by-step explanation:
Slope = - 2
Using the slope = -2 and the point (-6, 3) substitute into y= mx + b and solve for "b"
y = mx + b
3 = -2(-6) + b
3 = 12 + b
3 - 12 = b
-9 = b
The equation of the line is y = -2x - 9
the person who answes my question can u stay because i have more thankyou
Answer:
c. 60 mins
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
If the point (2K-3, K+2) lies on the graph of the equation 2x+y+14=0, find the value of k.?
Answer:
k = -2
Step-by-step explanation:
Substitute 2k-3 for x and k+2 for 2
2x + y + 14 =0
2(2k-3) + (k + 2) + 14 = 0
4k - 6 + k + 2 + 14 = 0
4k + k - 6 + 2 + 14 = 0
5k + 10 = 0
5k + 10 - 10 = 0 - 10
5k = -10
[tex]\frac{5k}{5} = \frac{-10}{5}[/tex]
k = -2
Plsss some one help with this
Answer:
the answer is c and the entire equation means that the tickets each cost $15 and the service fee is $12
An equilateral triangle and a rectangle have the same perimeter.
How do you find the side lengths of the equilateral triangle and the rectangle?
I think you already got the explanation part
I've just solved for 'x' in here
And to check if the answer is correct or not, you just put in this value of x and try finding the perimeter for each.
You'll get 24 units!
I'm sorry, but it wouldn't let me answer earlier XD
Question 1 of 10
If f(x) = 4x - 12, what is f(2)?
A. -20
ОО O
B. 8
C. -4
O
D. 4
Answer:
C -4
Step-by-step explanation:
f(2)= 4(2) - 12
f(2) = -4
please help me asap
Answer:
No, it isn't linear because the graph is not a straight line.
Step-by-step explanation:
(see picture of graph)
Linear means a straight line, and these points do not form a line, so it is not linear. You can also calculate this by finding the slope between each point and the previous.
The chances that you will be ticketed for illegal parking on campus are about 1/3. During the last nine days, you have illegally parked every day and have NOT been ticketed (you lucky person!). Today, on the 10th day, you again decide to park illegally. The chances that you will be caught are:
The required probability of getting caught on the 10th day is 3/5.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Probability of getting caught in 9 days
= [1 - 1/3]*9=6
The probability of getting on the tenth day is given as,
= 6/10
=3/5
Thus, the required probability of getting caught on the 10th day is 3/5.
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Choose all of the proportional relationships that have a greater unit rate than the unit rate of this graph.
10
9
8
7
6
5
4
3
2
1
5
7
B
00
9 TD
X
y
2
5
10
15
low
y
3
6
9
6
12
18
6
y = 2x
y = 0.25%
y
2
4
y
3
6
9
8
16
24
8
12
The proportional relationships that have a unit rate that is greater than that of the one of the graph are: the first and third tables, and y = 2x.
How to Determine the Unit Rate of a Proportional Relationship?The unit rate can be calculated as, m = y/x. In an equation that represents a proportional relationship, y = mx, the value of m is the unit rate.
Using a point on the graph, (5, 2):
Unit rate of the graph = y/x = 2/5
Unit rate = 0.4.
Unit rate for the first table = 3/5 = 0.6 [greater than 0.4]
Unit rate for the second table = 2/6 = 0.3 [less than 0.4]
Unit rate for y = 2x, is 2 [greater than 0.4].
Unit rate for y = 0.25x, is 0.25 [less than 0.4].
Unit rate for the third table = 2/4 = 0.5 [greater than 0.4]
Unit rate for the second table = 3/8 = 0.375 [less than 0.4]
Those that have a unit rate that is greater than the one of the graph are: the first and third tables, and y = 2x.
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Find the equation of a line parallel to y = -5x – 10 that passes through the point
(-5,0).
Answer:
8684787
Step-by-step explanation:
1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.
Answer:
A = £1102.50
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.
Here A = £1000·(1 + 0.05)^2, which evaluates to A = £1102.50
For every 20 penguins at the North Pole there are 9 polar bears. If you encountered 27 polar bears, how many penguins would you expect to see?
Answer:
60 penguins
Step-by-step explanation:
We need to find out how many times 9, the number of polar bears for every 20 penguins, was multiplied by, so that we can multiply 20 penguins by the same amount.
27/9 = 3
20*3 = 60
Answer: 60
Step-by-step explanation:
The ratio is 20:9. If you times both sides by 3, you will get 60:27, which means 60 penguins per 27 polar bears.
What is the are of a circle if pi is 22/7
Answer:
In-sufficient data
Step-by-step explanation:
The formula for area is pi*radius*radius
Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. If someone uses 400 liters of orange juice, how much soda water would they need? And how many batches would that make?
Answer:
They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Answer:
500 soda water, 100 batches, just a guess so sorry if im wrong
Step-by-step explanation: