9514 1404 393
Answer:
3.67 years
Step-by-step explanation:
The amount is found using the compound interest formula.
A = P(1 +r/n)^(nt)
for principal P invested at annual rate r compounded n times per year for t years.
We can solve this for t:
A/P = (1 +r/n)^(nt) . . . . divide by P
log(A/P) = (nt)log(1 +r/n) . . . . take the logarithm
t = log(A/P)/(n·log(1 +r/n)) . . . . divide by the coefficient of t
Filling in the given values, we find ...
t = log(12000/10000)/(4·log(1 +0.05/4)) ≈ 3.6692
It will take about 3.67 years for the balance to reach $12,000.
Answer:
the answer is 3.67 years
A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?
Please explain
add 12 with 16 by 20 it gives you 48 cubic inches
12 +16+20=48 cubic inches
Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850
This question is incomplete, the complete question is;
Trevor is interested in purchasing the local hardware/electronic goods store in a small town in South Ohio. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 60% of the business days it is open. Estimate the probability that the store will gross over $850 at least 6 out of 10 business day
Answer:
P( at least 6 out of 10 business days ) = 0.6312
Step-by-step explanation:
Given the data in the question;
p = 60% = 0.6
q = 1 - p = 1 - 0.6 = 0.4
Using Binomial distribution;
P( X = r ) = [tex]^nC_r p^rq^{n-r[/tex]
where [tex]^nC_r = n!/(r!(n-r))[/tex]
we substitute
P( at leas 6 ) = P(6) + P(7) + P(8) + P(9) + P(10)
= [¹⁰C₆ × 0.6⁶ × 0.4⁴] + [¹⁰C₇ × 0.6⁷ × 0.4³] + [¹⁰C₈ × 0.6⁸ × 0.4²] + [¹⁰C₉ × 0.6⁹ × 0.4¹] + [¹⁰C₁₀ × 0.6¹⁰ × 0.4⁰]
= [0.250] + [0.214] + [0.1209] + [ 0.0403] + [ 0.00604 ]
= 0.6312
Therefore, P( at least 6 out of 10 business days ) = 0.6312
How can I do this dudhhehrhr
Answer:
the answer is 30
Step-by-step explanation:
(6+4) * 3
Do what is in the parenthesis!
(6+4) = 10
Then do the *3
10*3 = 30!
Hope this help! Goodluck!
oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?
Answer:
5 hours
Step-by-step explanation:
sam originally paid $18 hours but then had to pay 9 every 1 hour
18+9/1=?
sam paid 63 $ in total so
63-18= 45
45/9=5
What is the quotient ?
Answer: A quotient is the the number resulting from the division of one number by another.
Step-by-step explanation:
24/4 the quotient (answer) is 6
Please help!!!!!! I’ll mark Brainlyist!!!!!
Answer:
its 55
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 113.49
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Danny reads for one half hour every day.
At the end of four weeks, how many hours has Danny read?
There are 7 days in a week.
1/2 hour x 7 days = 3 1/2 hours per week.
3 1/2 hours per week x 4 weeks = 14 hours
He read for a total of 14 hours
Answer:
14 hours
Step-by-step explanation:
half hour = 30 minutes
1 week = 7 days
30(minutes) x 7(days) = 210 minutes
210(minutes) x 4(weeks) = 840 minutes
Now we know how much time Danny has read (840 minutes), but we need to know what that is in hours.
840 minutes = how long Danny has read in minutes
60 minutes = hour
840(minutes) ÷ 60(minutes) = 14(hours)
At the Dream Cone ice cream shop, there are
540 ways to make an ice cream sundae
consisting of one flavor of ice cream, one
topping, and one type of syrup. If there are 9
ice cream flavors and 5 types of syrup, how
many toppings are there?
Answer:
12 toppings
Step-by-step explanation:
5*9=45
540/45=12
The number of toppings in the ice cream cone are 9.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.
Let the number of toppings be x.
So, 9×5×x=540
⇒ 45x=540
⇒ x=9
Therefore, the number of toppings in the ice cream cone are 9.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
The tape diagram represents an equation.
W
1.3
2.7
Write an
equation to represent the image.
Answer:
w+1.3=2.7
Step-by-step explanation:
Answer:
1.3 + w = 2.7
Step-by-step explanation:
Hope this helps
ik this is alot but please help me.
Answer:
help u in what please ask the question so we can anwser
Please answer now! Please!
Is this proportional? What is the COP? What is the equation?
Answer:
Step-by-step explanation:
The constant of proportionality is y/x=k. In this case it is 30/5=48/8...6 k=6
The equation is
y=6x where y=number of wheels and x=number of buses
What does it mean to solve an equation
y+=5
Complete the satements
The valabile in the ention is represented by
to solve the equation you must find the
1 is a solution of the equation because
frat makes the equation te
satue statement
9514 1404 393
Answer:
yvalue of y1+4=5Step-by-step explanation:
In early primary education, when you're learning your arithmetic facts, you were probably exposed to math problems that looked like this:
___ + 4 = 5
In algebra problems, we give a name to the blank, and we call that name a "variable." In this problem, we have have named the blank "y". The variable in the equation is y.
y + 4 = 5
__
To answer the math question above, we fill in the blank with the numerical value that makes the statement true. To solve the algebraic equation, we find the value of y that makes the equation true.
__
1 goes in the blank to make the original statement true:
1 + 4 = 5
1 is a solution to the equation because replacing y with 1 makes 1+4=5 a true statement.
What’s the answer to this question need help !!!!!!!!!!!
Answer:
A.Yes, [tex]6^{2} + 8^{2} = 10^{2}[/tex]
Step-by-step explanation:
Choose the fraction that is NOT equivalent to 2/2?
A.1/1
B.2/1
C.3/3
D.4/4
Answer:
B 2/1
Step-by-step explanation:
2/2=1
3/3=1
4/4=1
and 2/1=2
carl has 1,064 legos. sharon has 19 time the amount of legos. how many legos does sharon have
1064 x
19
________
20216 legos
Sharon has 20216 legos
Label the diagram
with
x-axis y-axis origin quadrant I quadrant II quadrant III quadrant IV
A
B
C
D
A) y-axis
B) quad lll
C) x-axis
D) quad IV
Is this the answer you were looking for?
If you add Natalie's age and Fred's age, the result is 44. If you add Fred's age to 4 times
Natalie's age, the result is 83. Write and solve a system of equations to find how old Fred and Natalie
are
Answer: 31, 13
Step-by-step explanation:
(1.75)^2 in expanded form
Answer:
1.75 x 1.75
fillerfillerfiller
I need these 4 questions, they are 7th grade level so should be easy enough
If angle A in the diagram equals 45 degrees and angle B is 4x + 5 degrees, determine the value of x.
A. 10 Degrees
B. 25/2 Degrees
C. 40 Degrees
D. 160 Degrees
there are 72 students in pe.12 students well be in a team.how many teams can be formed
Answer:
6 teams
Step-by-step explanation:
72/12 = 6
45,678 in unit form
PLS HELP (CLICK ON HERE TO SEE QUESTION)
Answer:
C
Step-by-step explanation:
the answer is C because the 2 angles are congruent, making it the same degree
hope this helps :)
Answer:
160
Step-by-step explanation:
y is the same shape and degree is 1 60 on the other side please mark brainliest
Find the perimeter of the figure to the nearest hundredth. due today
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Answer: 36.57
Explanation:
6x4 = 24
3.14(2)^2 = 12.56
12.57+24=36.57
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:11
Step-by-step explanation:smart
find a fuction rule for the line that passes through the origin (0,0) and the point (3- 18)
Answer:
just carrie the 2 and box up rh2-4 then you would get the answer I'm smart as f
A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5 minutes, the pizza pan is at 300°F.
(a) At what time is the temperature of the pan 125°F?
(b) Determine the time that needs to elapse before the pan is 150°.
(c) What do you notice about the temperature as time passes?
Answer:
A) It will get to a temperature of 125°F at 9:19 PM
B) It will get to a temperature of 150°F at 9:16 PM
C) as time passes temperature approaches the initial temperature of 450°F
Step-by-step explanation:
We are given;
Initial temperature; T_i = 450°F
Room temperature; T_r = 70°F
From Newton's law of cooling, temperature after time (t) is given as;
T(t) = T_r + (T_i - T_r)e^(-kt)
Where k is cooling rate and t is time after the initial temperature.
Now, we are told that After 5 minutes, the temperature is 300°F.
Thus;
300 = 70 + (450 - 70)e^(-5k)
300 - 70 = 380e^(-5k)
230/380 = e^(-5k)
e^(-5k) = 0.6053
-5k = In 0.6053
-5k = -0.502
k = 0.502/5
k = 0.1004 /min
A) Thus, at temperature of 125°F, we can find the time from;
125 = 70 + (450 - 70)e^(-0.1004t)
125 - 70 = 380e^(-0.1004t)
55/380 = e^(-0.1004t)
In (55/380) = -0.1004t
-0.1004t = -1.9328
t = 1.9328/0.1018
t ≈ 19 minutes
Thus, it will get to a temperature of 125°F at 9:19 PM
B) Thus, at temperature of 150°F, we can find the time from;
150 = 70 + (450 - 70)e^(-0.1004t)
150 - 70 = 380e^(-0.1004t)
80/380 = e^(-0.1004t)
In (80/380) = -0.1004t
-0.1004t = -1.5581
t = 1.5581/0.1004
t ≈ 16 minutes.
Thus, it will get to a temperature of 150°F at 9:16 PM
C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.
Thus,we have;
T(t) = T_r + (T_i - T_r)
T_r will cancel out to give;
T(t) = T_i
Thus, as time passes temperature approaches the initial temperature of 450°F
Order the steps in which to solve this expression. The value should be last.
PLEASE HELPPP.
Answer:
Exponents, Multiplication, Division (from left to right), Addition, Subtraction (from left to right), value
Step-by-step explanation:
Which graph shows a proportional relationship?
A. B. C D.
Answer:
B
Step-by-step explanation:
a proportional relationship must have a straight line when graphed and it must go through the origin (0,0)
Right off the bat we can eliminate answer choice C because the line is not straight
the answer is not a nor d
the line may be straight but it does not go through the origin therefore it is not a proportional relationship
B makes a straight line and the line goes through the origin therefore B is the answer
If the scale factor of Figure A to Figure B is 7:2 find the perimeter of Figure A.