Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
Her initial balance is of $300, hence [tex]A(0) = 300[/tex].The growth rate is of 15%, hence [tex]r = 0.15[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 300(1 + 0.15)^t[/tex]
[tex]A(t) = 300(1.15)^t[/tex]
It will reach $450 after t years, for which A(t) = 450, hence:
[tex]A(t) = 300(1.15)^t[/tex]
[tex]450 = 300(1.15)^t[/tex]
[tex]1.15^t = \frac{450}{300}[/tex]
[tex]1.15^t = 1.5[/tex]
[tex]\log{(1.15)^t} = \log{1.5}[/tex]
[tex]t\log{1.15} = \log{1.5}[/tex]
[tex]t = \frac{\log{1.5}}{\log{1.15}}[/tex]
[tex]t = 2.9[/tex]
It will take about 2.9 years for Emma's balance to reach $450.
A similar problem is given at https://brainly.com/question/14773454
Answer:
It will take about 2.9 years for Emma’s balance to reach $450.
Last summers, students who worked earned an average of $80 a week with a standard deviation of $12. What percentage of students earned more that $104 per week?
Answer:
2.28%Step-by-step explanation:
Given:
μ = 80σ = 12x = 104Find z-score:
z = (x - μ)/σz = (104 - 80)/12 = 2Percent value corresponding to 2 as per z-table is 0.9772. This is corresponding to 97.72%.
Percentage of students earned more than $104:
100 - 97.72 = 2.28If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?
Answer:
463,488,000,000
Step-by-step explanation:
8.8% = .088
426,000,000,000 * .088 = 37,488,000,000
426,000,000,000 + 37,488,000,000 = 463,488,000,000
plz help ty<3
6cd^2+ 5cd + 3c^2 d^3
I think its 52 I'm not sure please dont get angry If I got it wrong
P=√5+vt make v the subject
Answer:
p = √5 + vt
p - √5 = vt
p - 2.24 = vt
p - 2.24/t = t
fully simplify 124:72:48
Answer:
31:18:12
............................
Write using a fractional exponent.
Answer:
a number with a fractional exponent or power or index is the same as the denomination's root the whole number power the numerator
therefore the denominator will be three and numerator will be one
x²×⅓= x⅔
NO LINKS NO FILES NEED HELP ASAP GET IT RIGHT YOU GET CROWN!!
Seriously no links or files
Answer: A = 27 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (3)(9) A = 27 units^2
Which Game Is The Best And Why?
A.) Uncharted 4 a Thief's End
B.) Call Of Duty Modern Warefare
C.) Batman Arkham Knight
D.) Marvel's Spider-Man
Answer:
Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun
Step-by-step explanation:
Write the equation of the line described below in point-slope form.
Answer:
y-1=2(x-3)
Step-by-step explanation:
Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. m = the slope. [tex]1=y_{1}[/tex] and [tex]3=x_{1}[/tex] now you plug it in. y-1=2(x-3).
[tex]\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5[/tex]
The cube less the square of a number is twice the number. If x is a positive integer, what is its value
Answer:
2
Step-by-step explanation:
let 'x' = number
x³ - x² = 2x
x³- x² - 2x = 0
x(x² - x - 2) = 0
x(x - 2)(x + 1) = 0
x = -1, 0, 2
the only positive solution is the number 2
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
w>-20
Step-by-step explanation:
The distance your friend travels in y (miles) running x hours is represented by the equation y = 7.5x.
a. Graph the equation and interpret the slope
b. how many minutes does it take for your friend to run one mile
From 11 friends to 12 friends find the percent
Answer:
109.090909%
Step-by-step explanation:
Answer:
9.09091%
Step-by-step explanation:
From 11 friends to 12 friends find the percent
from 11 friends to 12 friends. The number of friends is increased by 1.
To get the percentage of increase:
(12 - 11) / 11 = 1 / 11 = * 100% =
The increase of 1 friend is equivalent to 9.09091% increase
11 is the basis. It is the 100%
1 is the increase. It is the 9.09091%
12 is the total number of friends.
100 POINTS IF U GET THIS RIGHT!
[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]
Answer:
Slope: 3/2
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -3x/2 - 3/8
=> Now, let's compare:
=> y = mx + b = y = -3x/2 - 3/8
We can tell that slope = m, which is 3/2.
Hoped this helped.
g
Pat a
mber
4. In a hockey league, 87 players play on seven
different teams. Each team has at least 12
players. What is the maximum number of players
on any one team?
Answer:
15
Step-by-step explanation:
since there is 7 teams and 12 can be the minimum we can do 7 x 12=84
this means that 3 people could possibly be on one single team.
the maximum number is 12+3=15
Shreyas went to the fair and played a game with three spinners. He spins each spinner once and wins a prize if he gets 2 blues and 1 red.
Using the principle of probability, the likelihood that Shreya wins by getting 2 blues and 1 red is 0.416
Creating an area model for the first two spinners :
___ G _ B _ B _ R _R _R
R_RG_RB_RB_RR_RR_RR
R_RG_RB_RB_RR_RR_RR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
G_GG_GB_GB_GR_GR_GR
G_GG_GB_GB_GR_GR_GR
Creating an area model or tree diagram for the third spinner would result in a sample space of (48 × 12) = 576 combinations.
However, the probability that Shreya would win can be obtained thus :
To win he needs to pick get 2 blues and 1 red in any order :
3! = 3 × 2 × 1 = 6 ways
P(BBR) = 1/3 × 4/8 × 5/12 = 0.0694444
P(winning) = 6 × 0.0694444 = 0.416
Therefore, the probability that Shreya wins is 0.416.
Learn more :https://brainly.com/question/18405415
Simplify the following expression.
5/6 x 3/5
Answer:
1/2
Step-by-step explanation:
5/6 • 3/5
15/30 = 1/2
Answer:
1/2
Step-by-step explanation:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
5 × 3/ 6 × 5 = 15/30
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using
GCF(15,30) = 15
15 ÷ 15/30 ÷ 15 = 1/2
Therefore:
5/6 × 3/5 = 1/2
which one is the same to 0.6 . 1/6 , 6% , 3/5 , 60% or 6/100
Will mark brainliest
Answer:
27
Step-by-step explanation:
How to find derivative of a curved graph.
The number of employees for a certain company has been decreasing each year by 4%. If the company currently has 710 employees and this rate continues, find the number of employees in 11 years.
Answer:
Answer is A
Step-by-step explanation:
Which of these is not an improper fraction? A 5/5 B 40/30 C 934/85 D 3/7
PLEASE HELP !!!!!
Answer:
D and I think it is correct since it has a fraction whose numerator is less than the denominator good luck hope you pass
straight line graph table - complete the table of values for the equation y=x+6 using values that lie on the graph shown
Answer:
take any value of x and substitute such as x is 0
y will be plus 6 so (0,6)
y is 0 so x will be minus 6 so (-6,0)
Step-by-step explanation:
take any value of x and y and substitute
Mark as brainliest!!!
Put these in least to greatest
1/3,-3,3,0
Answer:
-3 , 0 , 1/3 , 3
Step-by-step explanation:
1/3= 0.3333
A bag contains three red marbles, three blue marbles, and three yellow marbles. You randomly pick three marbles without replacement. The first marble is red, the second marble is blue, and the third marble is red.
Answer:
first one is yellow
Step-by-step explanation:
What is the volume of a sphere with a radius of 4.4 cm, rounded to the nearest tenth
a
of a cubic centimeter?
O 223.8
0 294.4
O. 299.1
O 356.8
Answer:
V = 356.8 cubic centimeter
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
[tex]\pi V = \frac{4}{3} \pi (4.4)^{3}[/tex]
[tex]V = \frac{4}{3}\pi (85.184)[/tex]
V = 356.8179048
V = 356.8
there are 30 students in Mr. Robert's classroom. 45% of the students ride the bus how many students ride the buss?
Answer:
About 13 students
Step-by-step explanation:
30*45%=13.5
13.5<14
At a picnic, 12 people shared 4 large sandwiche
equally. How much of a sandwich did each
person get to eat?
Answer:
1/3
Step-by-step explanation:
Answer:
each person ate 1/3 of a sandwich
Step-by-step explanation:
can someone please help me :)
Answer:
1/2
Step-by-step explanation:
We have 2 points, (1,3) and (9,7). So, the slope of the line is (7-3)/(9-1)=4/8=1/2
factorize 21xy - 14xz - 28wx
Answer:
7x(3y - 2z - 4w)
Step-by-step explanation:
21xy - 14xz - 28wx ← factor out 7x from each term
= 7x(3y - 2z - 4w)
Answer:
7 x . (3y - 2z - 4w
Step-by-step explanation: