Answer:
$3700
Step-by-step explanation:
Given that:
Initial amount = $1400
Amount deposited per week = 50
Amount after 47 weeks =?
Using the Arithmetic Progression relation :
Tn = A + (n - 1)d
Weekly deposit = d = 50
A = initial / first deposit = 1400
n = number of deposits
T47 = 1400 + (47 - 1)50
T47 = 1400 + (46)*50
T47 = 1400 + 2300
T47 = 3700
Answer:
$3750
Step-by-step explanation:
T47 = 3750
Please halp me, thanks so much
-Tornado
Answer:
>
Step-by-step explanation:
Step-by-step explanation:
Since c is on the left of -1 on the number line,
c < -1.
If we add 2 to both sides of the inequality we get c + 2 < 1.
Hence the correct sign is "<".
help I have been stuck on this for an hour
2+6-1
Answer:
the answer is 7.
Hey thanks a lot for the points and merry Christmas and have a great day onwards. :)
Answer:
7
Step-by-step explanation:
Hugo and Viviana work in an office with ten other coworkers. Out of these 12 workers, their boss needs to choose a group of four to work together on a project. Suppose Hugo and Viviana absolutely refuse, under any circumstances, to work together. Under this restriction, how many different working groups of four can be formed
Answer:
450
Step-by-step explanation:
The total number of possible working groups of 4 workers selecting from 12 workers is the number of ways of selecting 4 persons from 12 persons
[tex]=\binom{12}{4}=\frac{12\times 11 \times 10 \times 9}{1\times 2 \times 3\times 4}=495[/tex]
The total number of possible groups of 4 workers in which 2 persons (Hugo and Viviana) always come together
[tex]= \binom {12-2}{4-2}=\binom {10}{2}=\frac{10\times9}{1\times2}=45[/tex]
So, the total number of possible working groups in which Hugo and Viviana are not working together in any of the groups [tex]= 495-45=450[/tex].
PLS HELP WILL GIVE BRAINLIST
Answer:
The answer is 1050
Step-by-step explanation:
Evaluate the expression shown for x = 9.
5
--X+7
6
0
-13.
ܝ
2.
Answer: B or -I/2
Step-by-step explanation: I did this question
(2 + 9) (3 ÷ 4) answer this
Answer:
Fraction- 33/4
Decimal- 8.25000
Step-by-step explanation:
Hope this helps!
Brain-List?
F(x) = 2x+6, g(x) = 3² findf(g (-3))
Step-by-step explanation:
If F(x) = 2x+6, g(x) = 3² findf(g (-3))
Solution
f(g (-3)) = 2x+6(3²(-3)) = 2x+6(3×3(-3))
= 2x+6(-27) = 54x-162 = 54x = 162
54/54x = 162/54
x = 3
Answer:
➩ [tex]f(g(-3)) = 24[/tex]
Step-by-step explanation:
➨ Rearrange/Simplify the equations
[tex]F(x)=2x+6\\g(x)=9[/tex]
➨ Find [tex]f(g(-3))[/tex]
[tex]g(-3)=9[/tex] ➩ All x-values have same y-values ➩ Constant Function
Substitute [tex]g(-3) = 9[/tex] in the f(x)
[tex]f(g(-3)) = f(9)\\f(9)=2(9)+6\\f(9)=18+6\\f(9)=24\\f(g(-3)) = 24[/tex]
Thus, the answer ➩ [tex]f(g(-3)) = 24[/tex]
An object's temperature cools exponentially after it is removed from a furnace (hot oven). If its initial temperature is
730
730
°C and it cools at a rate of
2.95
2.95
% per minute, find the object's temperature after
18.0
18.0
minutes.
Answer: I think 53.1
Step-by-step explanation:
The object's temperature after 18.0 minutes is 425.83.
Given that,
An object's temperature cools exponentially after it is removed from a furnace (hot oven).
If its initial temperature is 730°C and it cools at a rate of 2.95% per minute.
We have to determine,
The object's temperature after 18.0 minutes.
According to the question,
The initial temperature is 730°C and it cools at a rate of 2.95% per minute,
The temperature after t minutes is modeled by an exponential function, which has the following format is,
[tex]T(t) = T(0) . (1-r)^t[/tex]
Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.
Then,
T(0) = 730°c and r = 2.95% = 0.0295
Substitute all the values in the equation,
[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}[/tex]
Therefore,
The object's temperature after 18.0 minutes is,
[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\\\\ T(18) = 730 \times 0.5833\\\\T (18) = 425.83[/tex]
Hence, The required value of the object's temperature after 18.0 minutes is 425.83.
To know more about the Exponential function click the link given below.
https://brainly.com/question/16902197
Which situation could NOT represent a proportional relationship?
A The number of gallons of water in x barrels with 42 gallons of water in each barrel
B The amount an employee who makes $8.50 per hour earns in h hours
C The weight in x weeks of a puppy that gains 2 pounds per week if its starting weight is 8 pounds
D The cost of purchasing p pounds of bananas for $0.55 per pound
In a game of chance there is a box filled with 20 black balls, 13 red balls, and 7 green
balls. If a single ball is drawn from the box, then what is the probability that the ball
is green?
Please help me out.
Answer:
7/40
Step-by-step explanation:
7 balls are green-->numerator
7 balls out of 40( in total) are green.
7/40
This means that out of every 40 balls picked, 7 of them should be green.
A bag of skittles contains green, orange, red, and yellow candies. 2/3 of the bag contains green and orange candies and 1/12 of the bag is red candies. What is the probability of picking out a yellow skittle from this bag?
Answer:
4/12
Step-by-step explanation:
Which linear equations have one solution? Check all that apply.
O 5x-1 =3(r+ 11)
O 4(r-2) + 4x = 8(x-9)
O 4(–6) + 4 = 2(r- 3)
o 2(-4) = 5(r-3) + 3
O 20-1) + 3r= 5(r-2) + 3
Answer:
The linear equations which have one solution are C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex], D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex] and E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex].
Step-by-step explanation:
From Algebra we know that a system of linear equation has a unique solution when the number of variables is equal to the number of equations. Now we proceed to check if each option fulfills this condition:
A. [tex]5\cdot x -1 = 3\cdot (r + 11)[/tex]: Number of equations: 1/Number of variables: 2 [tex]\{x, r\}[/tex]
B. [tex]4\cdot (r-2)+4\cdot x = 8\cdot (x-9)[/tex]: Number of equations: 1/Number of variables: 2 [tex]\{x, r\}[/tex]
C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]
D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]
E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]
The linear equations which have one solution are C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex], D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex] and E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex].
Jack is keeping a record of the number of steps he takes each day.
Monday 8 565 steps
Tuesday
Wednesday
14 707 steps
15 323 steps
Thursday 9 788 steps
Friday
12 482 steps
Work out the range of the numbers of steps
Answer:
6758
Step-by-step explanation:
Given the data:
Monday _______ 8565 steps
Tuesday ______ 14707 steps
Wednesday ____ 15323 steps
Thursday ______ 9788 steps
Friday _________12482 steps
The range from the data is :
(Highest value - lowest value)
(15323 - 8565)
18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears? Make a two-way table to help you!
Answer:
5/9Step-by-step explanation:
Total number of bikes = 18Bikes with gears S = 9Bikes with suspension S = 11Bikes with both GS = 5From the information above we have:
Bikes with gears only = 9 - 5 = 4Bikes with suspension only = 11 - 5 = 6Sum of the above two gives us the number of bikes with suspension or gears:
4 + 6 = 10Probability of selected bike be G or S is:
P(G or S) = 10/18 = 5/9Liam was born on October 1, 2009. His grandparents put $20,000 into an account that yielded 3%
interest compounded quarterly. When Liam turns 18, his grandparents will give him the money
for a college education. How much will Liam get on his 18th birthday?
$34,251.05
i hope this helps
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + \frac{R}{n} )^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
The amount Liam got on his 18th birthday is $34,251.05.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + \frac{R}{n} )^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
Example:
P = 200
R = 2%
t = 3 years
compounded annually, n =1
A = $212.24
We have,
Principal = $20,000
Rate = 3%
There are 4 quarters in a year.
It is compounded quarterly.
This means,
n = 4
t = 18 years
The amount compounded quarterly.
A = 20,000 [tex](1 + 0.0075)^{72}[/tex]
A = 20,000 x [tex]1.0075^{72}[/tex]
A = $34,251.05
Thus,
The amount Liam got on his 18th birthday is $34,251.05.
Learn more about compound interest here:
https://brainly.com/question/13155407
#SPJ2
I need help fast thanks
Answer:
In the explanation
Step-by-step explanation:
a) Multiply the second equation by 2, subtract both lines. You get x = -3. Plug this in to get y, y = -2
b) Multiply the first equation by 2, add both lines. You get x = 8. Plug this in to get y, y = -3
c) Multiply the first equation by 5, subtract both lines. You get y = 1. Plug this in to get x, x = -3
d) Multiply the first equation by 2 and the second one by 3, add both lines. You get x = 1. Plug this in to get y, y = 4
Hope this helps!
Answer correct plz if u steal points ill report
Answer:
I my knowledge
option D y=6x
Step-by-step explanation:
and I am 100% sure you
Answer:
y=6x
Step-by-step explanation:
p-1÷p=5 then p2-1÷p2=? finda the value of p
Answer:
10
Step-by-step explanation:
since everything is doubled
we just do 5 multiplyed by 2
–4(5x – 9) + 6(2x + 5)?
We are interested in comparing the amount of acidity in sour cream with respect to using different starters for making the sour cream. The data is given below.
Acidity Starter
1 8.04 3
2 6.61 2
3 11.99 4
4 7.78 5
5 8.40 1
6 9.58 4
7 6.58 5
8 6.66 1
9 5.34 3
10 7.92 2
11 7.98 5
12 7.98 3
13 8.98 2
14 7.94 1
15 11.32 4
16 9.74 2
17 9.46 1
18 9.14 3
19 12.00 4
20 9.32 5
21 9.66 1
22 11.28 4
23 8.04 5
24 8.12 2
25 6.72 3
What are the assumptions that we should check before conducting the hypothesis test?
Answer:
Assumptions before conduction hypothesis test are mentioned below in the explanation.
Step-by-step explanation:
As this question is incomplete, and I will try my best to answer this question.
We are asked in this question to write the assumptions that we check before conducting the hypothesis test.
Solution:
Assumptions of hypothesis test:
1. We have to make assumption that all the observations are independent.
2. Secondly, we need to take assumption that, all the parent population of the data reflects normal distribution.
3. Furthermore, we need to assume that experimental error or random error is independently identical and normally distributed with mean "0" and variance of (σ^2).
Above are the assumptions that we should check before conducting hypothesis test.
Use the Distributive Property to expand this expression. z(–6.4 – 3.5x)
Answer:
-6.4z -3.5xz
Step-by-step explanation:
Ramon earns $1,690 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
3.1%
Step-by-step explanation:
divide his electricty payment by his monthly pay
A Super Happy Fun Ball is dropped from a height of 4 feet and rebounds 4 5 of the distance from which it fell. How many times will it bounce before its rebound is less than 1 foot
Answer:
More than 6.21 times
Step-by-step explanation:
The common ratio [tex]r=\dfrac{4}{5}[/tex]
Distance of first bounce
[tex]a_1=4\times \dfrac{4}{5}=\dfrac{16}{5}[/tex]
Second bounce
[tex]a_2=ar^{n-1}=\dfrac{16}{5}(\dfrac{4}{5})^{2-1}\\\Rightarrow a_2=\dfrac{16}{5}(\dfrac{4}{5})[/tex]
n bounce
[tex]a_n=ar^{n-1}\\\Rightarrow a_n=\dfrac{16}{5}(\dfrac{4}{5})^{n-1}[/tex]
Now the nth bounce will be less than 1 feet
[tex]\dfrac{16}{5}(\dfrac{4}{5})^{n-1}<1\\\Rightarrow (\dfrac{4}{5})^{n-1}<\dfrac{5}{16}[/tex]
Applying logarithms on both sides we get
[tex](n-1)\ln \dfrac{4}{5}<\ln\dfrac{5}{16}\\\Rightarrow n>\dfrac{\ln\dfrac{5}{16}}{\ln \dfrac{4}{5}}+1[/tex]
The inequality changes as both [tex]\ln\dfrac{5}{16}[/tex] and [tex]\ln \dfrac{4}{5}[/tex] are negative numbers.
So,
[tex]n>6.21[/tex]
Hence, the number of bounces is more than 6.21 times.
HELP PLEASE
this is really hard help me
Write the point-slope form of the equation of the line through the given point and slope.
through: (1, -2), slope = -6
y - 2 = -6 (x + 1)
y - 2 = 6 (X + 1)
y + 2 = -6 (x - 1)
y + 2 = 6 (x - 1)
Answer:
[tex]y +2 =-6(x - 1)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,-2)[/tex]
[tex]m=-6[/tex]
Required
Determine the point slope equation
This can be determined using the following formula:
[tex]y - y_1 =m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (1,-2)[/tex]
[tex]m=-6[/tex]
So, we have:
[tex]y - (-2) =-6(x - 1)[/tex]
This gives:
[tex]y +2 =-6(x - 1)[/tex]
Hence, the point slope form is [tex]y +2 =-6(x - 1)[/tex]
Can you help with all label them by there numbers plz thank you
Answer:
13- 25 fish
14- 9 miles
15- 7.825 ft3
16- 11.3 feet
Step-by-step explanation:
13-
14 x 2 = 28 fish
He dropped three things so:
28 - 3 = 25 fish
14-
7 days x 3weeks = 21 days
3laps x 21 days = 63 laps
63 laps x 1/7 mile = 9 miles
15-
all his savings: 2.6 + 7.34 + 5.71 = 15,65 ft3
melted snow = 15.65 / 2 = 7.825 ft3
16-
3.5 - 1.8 = 1.7 feet
1.7 + 9.6 = 11.3 feet
Answer:
Step-by-step explanation:
# 13.
I assume there will be no bonus, because penguin dropped some things.
14 × 2 - 3 × 1 = 25 fish
# 14.
3 laps, [tex]\frac{1}{7}[/tex] mile, 7 days, 3 weeks
3 × [tex]\frac{1}{7}[/tex] × 7 × 3 = 9 miles
# 15.
[tex]\frac{2.6+7.34+5.71}{2}[/tex] = 7.825 ft³
# 16.
[tex]3\frac{1}{2}[/tex] = 3.5
+ 3.5 - 1.8 + 9.6 = (3.5 + 9.6) - 1.8 = 11.3 ft.
Fractions finding the whole
Answer:
top left: 1/3
top right: 16
bottom left: 1/3
bottom right: 15
Step-by-step explanation:
Which of the following expressions is equivalent to (-7)5?
Answer: A would be the answer hope this helps
Nichol runs 3/4 mile in 1/4 hour. How many miles can she run in 1 hour?
Answer:
The answer is 3 miles, I had the same question
5. Find x if √x=79.
Answer:
x=6241
Step-by-step explanation:
^2 on both sides.
x=79^2.
x=6241.
Hope this helps plz hit the crown :D
Answer:
6241
Step-by-step explanation:
hope this is correct