Answer:
137
Step-by-step explanation:
Use the formula for exponential growth:
f(x) = a(1 + r)^x
In this formula, f(x) is the resulting number, in this case the number of fast food stores. a is the initial value, in this case 50. r is the growth rate, which they told you was 7%. And x is the number of time intervals, which is how many years between 1990 and 2005.
Substitute the known values into the equation:
f(x) = a(1 + r)^x
r is going to be 0.07 because the growth rate in the equation is the decimal form of 7%. x will be 15 because 2005-1990 = 15
f(x) = 50(1 + 0.07)^15
f(x) = 50(1.07)^15
Now just solve.
f(x) = 50(1.07)^15
First raise 1.07 to the 15th power.
f(x) = 50(2.75903154)
Then simplify.
f(x) = 137.951577
They want the approximate amount, so round it down to 137. The number actually rounds to 138, but he doesn't have a full 138 stores, so you use 137.
At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22. 8 12. 5 What is the probability that a customer ordered a large given that he or she ordered a hot drink? Rounded to the nearest percent, [ ? ]%
Answer: 29%
Step-by-step explanation:
This is correct on acellus :)
The probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .
What is Probability ?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.
The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Probability Formula = f/n
where,
f is the number of times an event occurs
n is the total number of trials
The probability is represented as:
P(Large | Hot)
This is calculated using:
P(Large | Hot) = n(Large and hot)/n(hot)
Using the data on the given table, we have:
P(Large | Hot) = 22/(8 + 12 + 5)
P(Large | Hot) = 0.88
In percentage
P(Large | Hot) = 88%
Hence, the probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .
To know more about Probability
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What is the solutions set of y=x^2+2x+7and y=x+7
Answer:
when x=0 ,y=7
when x=-1, y=6
Step-by-step explanation:
Taking [tex]y=x^{2} +2x+7, y=x+7[/tex] as equation 1 and 2 respectively
Inserting equation 2 in 1,
[tex]x+7=x^{2} +2x+7\\[/tex]
getting rid of 7 since its in both the sides with the same + signs,
[tex]x^{2} +2x-x=0\\x^{2} +x=0\\x(x+1)=0\\x=0 / x=-1[/tex]
when x=0 ,
y=7
when x=-1 , y=6
Can someone help me with this pls there is the picture
A jar contains 9 marbles marked with the numbers 1 through 9. You pick a marble at random. What is the probability of not picking the marble marked with the number 2? Enter your answer as a simplified fraction. The probability of not picking the marble marked with the number 2 is
Answer:
1/9 or unlikely
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
Please help ASAP!! It’s due tomorrow please!!
Answer:
250 lifeguards
(P.S, i dunno if i got it right or not should be correct tho)
Step-by-step explanation:
15 km divide 0.06 for every life guard. therefore, there are 250 lifeguards
There will be 9 lifeguards
.6 x 15 = 9
0.06 x 15 = 0.9
0.9 as a whole number = 9
Therefore There will be 9 lifeguards
Question 3 of 35
In O A, AC is congruent to
14.52
с
B
N
G
o
14.52
A. BD
B. GN
C. NO
O D. AO
A television can be bought on hire purchase with a deposit of $800 and 20 monthly installments of $275. What is the hire purchase price
Answer:
the hire purchase price is $6300 .
Explain pleaseeeeeeeeeeeee
Answer:
81°
Step-by-step explanation:
all triangles = 180°
Please give a real answer. What is the surface area of this composite figure?
Answer:
268 cm²Step-by-step explanation:
[tex]10\cdot7+7\cdot8+2\cdot(\frac12\cdot8\cdot6)+2\cdot(2\cdot6)+2\cdot(2\cdot7)+6\cdot7=\\\\=70+56+48+24+28+42=268[/tex]10) The Red bus company charges $100 plus
$50 per hour to rent a bus. The Blue bus
company charges $200 plus $25 per hour.
After how many hours do the bus
companies charge the same amount?
Answer:
After 4 hours of renting the bus both companies would charge 300 dollars.
Answer:
4 hours
Step-by-step explanation:
$100 (base price) + 200 (4 hrs at a $50 rate) = $300
$200 (base price) + $100 (4 hours at a $25 rate) = $300
Jesse and her family are painting their house. When they first started, they bought four 16-cup cans of paint. In order to paint their house, it took all of those cans plus they needed another 16-cup can of paint. How many cups of paint did it take Jesse and her family to paint their house?
Answer:
80
Step-by-step explanation:
yes
please help me find x.
Answer:
81°
Step-by-step explanation:
x + 99 = 180
x = 180 - 99
x = 81
Answer:
x = 81°
Step-by-step explanation:
The two angles shown add up to 180° because they are supplementary because they forma straight line. So, we can write an equation to model the situation:
x° + 99° = 180°
x = 81°
help asap, with good explaination please
Answer:
60 cubes
Step-by-step explanation:
10 times 6
6 are in each layer but there are 12 going down layer by layer
so 10 times 6 equal 60
the actuall answer is 60
= 60
5 in.
2 in.
3 in.
What is the volume of the rectangular prism?
A.10 in^3
B.16in^3
C.20in^3
D.25in^3
E.30in^3
Answer:
E
Step-by-step explanation:
V=l x w x h / 5 x 2 x 3
The area of a circle, in terms of π , is 72 π m2. Find the value of the radius. Give your answer as a simplified surd.
Answer:
R=3rad2
Step-by-step explanation:
Area of circle: pi r^2
72pi=pir^2
r^2=72
r=6rad2
Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
aa, ca, ac, cc
Step-by-step explanation:
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answer:
12/25
Step-by-step explanation:
The problem tells us that we need to use 25 equally sized stones to make a 12 feet long path. As the stones must be equally sized, you have to divide 12 by 25 to distribute the feet length equally. Therefore, 12 divided by 25 is just rewritten as 12/25 feet long.
How can you tell when a variable is a
perfect square?
Answer:
hope this helps
Step-by-step explanation:
If a variable with an exponent has an even exponent then it is a perfect square. To get the square root, we simply divide the exponent by 2. For example x8 is a perfect square, its square root is x4
What is the value of 3n +1 when n = 4?
A. 12
B. 13
C. 7
D. 8
Answer:
B. 13
Step-by-step explanation:
3(4) + 1 = 13
Answer:
13
Step-by-step explanation:
3n=3x4=12
12+1=13
The average marks of 10 students is 41. If the average marks of the top 6 and bottom 5 rankers are 45 and 36 respectively, how much did the
5th ranker score?
a. 41
b. 42
c. 43
d. 40
no spam please
Find x ????????????????????????
Answer:
here
h=x,p=15,b=9
using pythagoras theorem
h^2=p^2+b^2
x^2=15^2+9^2
x^2=225+81
x^2=306
x=3 √34 is the answer
What is the measure of angle R?
if someone could help me out with this i'd appreciate it
Answer:
answer b
Step-by-step explanation:
the graphs below have the same shape. what is the equation of the red graph?
Answer:
b
Step-by-step explanation
13. Sarita recorded the high temperatures in her town for the month of July and used
her data to make this box and whisker plot.
The mean temperature of the month was 94".
At least half of the temperatures were 94 or greater.
E
||||
88 90 92 94 96 98 100 102 104
Temperature (°F)
Which statement must be true?
There were fewer temperatures between 92° and 94 than
between 94° and 99%.
There were more temperatures between 99 and 104° than
between 88° and 92,
Answer:b
Step-by-step explanation:
PLEASE HELPPPP
Willa rolls a l-6 cube once.
Part A: What is the probability WIlla rolls a number less than 4?
Part B: Willa then rolls the number cube a total of 25 times. The number 2 results 5 times. What type of probability theoretical or experimental, would be used to show the chances of a number 2 resulting on the next roll? Explain how you know.
Answer:
immma send you the link friend me on here
Step-by-step explanation:
Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker?
Answer:
8,138.88 mm³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
π = 3.14
Radius, r = 9 mm
Height, h = 32 mm
Volume of a cylinder = πr²h
= 3.14 × (9 mm)² × 32 mm
= 3.14 × 81 mm² × 32 mm
= 8,138.88 mm³
Volume of a cylinder = 8,138.88 mm³
Quantity of pepper that will fit in the shaker = 8,138.88 mm³
-5/6x-7/30x+1/5x-52 please help me guys cuz imk not good with math
Answer:
[tex]\frac{-13}{15} x-52[/tex]
Step-by-step explanation:
[tex]\frac{-5}{6}x-\frac{7}{30}x+\frac{1}{5}x-52[/tex]
[tex]=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52[/tex]
Combine Like Terms:
[tex]=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52[/tex]
[tex]=(\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x)+(-52)[/tex]
[tex]=\frac{-13}{15}x+-52[/tex]
Therefore, [tex]\frac{-13}{15}x+-52[/tex] will be your final answer.
What is (f - g)(x)?
f(x) = -2x + 4
g(x) = -x2 + 4x + 5
Step-by-step explanation:
[tex] ( - 2x + 4) - ( - {x}^{2} + 4x + 5) = {x }^{2} - 6x - 1[/tex]
I NEED HELP ASAP!!!!!!
Answer:
I think it's d or a
Step-by-step explanation:
ggood luck