Using compound interest, it is found that it will take 11.28 years for the the account to grow to $4500.
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years.
P is the principal(the initial sum of money).
r is the interest rate(as a decimal value).
n is the number of times that interest is compounded per year.
t is the time in years for which the money is invested or borrowed.
In this problem:
$3000 is placed in the account, thus [tex]P = 3000[/tex].Interest rate of 3.6%, thus [tex]r = 0.036[/tex].Monthly compounding, thus [tex]n = 12[/tex].We have to solve for t when [tex]A(t) = 4500[/tex], thus:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]4500 = 3000(1 + \frac{0.036}{12})^{12t}[/tex]
[tex](1.003)^{12t} = 1.5[/tex]
[tex]\log{(1.003)^{12t}} = \log{1.5}[/tex]
[tex]12t\log{1.003} = \log{1.5}[/tex]
[tex]t = \frac{\log{1.5}}{12\log{1.003}}[/tex]
[tex]t = 11.28[/tex]
It will take 11.28 years for the the account to grow to $4500.
A similar problem is given at https://brainly.com/question/24507395
a bottle holds 80 fluid ounces of lemonade. how much is this in pints
Answer: 5 pints
Step-by-step explanation:
divide the volume value by 16
so 80 divided by 16.
Can someone do these two for me please?
Answer:
3) 2
4) Water's Edge Rafts
Step-by-step explanation:
3) Rate of change is nothing but the slope
Slope formula : y2 - y1 / x2 - x1
13 - 11 / 2 - 1
2/1
2
Rate of change = 2
4) Rate of change : y2 - y1 / x2 - x1
Water's Edge Rafts
36 - 6 / 6 - 1
30/5
6
Water's Edge Rafts' Rate of change = 6
Ryan's Rafts
17.25 - 15.00 / 2 - 1
2.25/1
2.25
Ryan's Rafts' Rate of change = 2.25
6>2.25
So, Water's Edge Rafts' has the highest rate of change
Answer:
2 for # 3
2.25 for # 4
Step-by-step explanation:
15-11/3-1
=2
(19.50-15)/(3-1)
2.25
Which of the following statements is true?
Answer:
lol what
Step-by-step explanation:
i dont get it xD
Where is the question??
I mean,Where is the options?
can you tell me pls..I will answer it correctly ❤️
Have a good day!
This is a statistics question.
Find the sample mean, median, and mode
10 21 32 30 31 258 18 23 25
Answer:
Mean: 49.78
Median: 25
Mode: There is no mode in this sample of values as each value appears in the sample set the same amount of times.
Find the unit rate $72 in 4 hours
Answer:
72 dollars ÷ 4
4 hours ÷ 4
=
18 dollars
1 hour
=
18 dollars
hour
= 18 dollars per hour
Step-by-step explanation:
Answer:
its 76 becuse 72+4=76
Step-by-step explanation:
72+4=76
Please help me I need this for tonight
Answer:
It is C because 4+8=3(4)
That's =12 =12
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
the answer to that I think is a or c. either one of those.
A soda company had sales of $35,107 million in 2010 and $45,992 million in 2014. Use the Midpoint Formula to estimate the sales in 2012. that the sales followed a linear pattern
Answer:
40,550
Step-by-step explanation:
40, 550 is the mod point
Which of these numbers is the greatest? No links
A. 2.3 x 10^3
B. 8.6 x 10^3
C. 1.2 x 10^4
D. 3,600
Answer:
c. 1.2 * 10^4
Answer : D. 3,600
sorry if that's wrong
What percent is represented by the shaded area?
Answer:
34%
Step-by-step explanation:
the graph is a hundred so all you have to do is count the number of squares which is 34
Write the standard form of the equation of the circle with radius r and center (h, k).
r = 2; (h, k) = (-10, 5)
Answer:
[tex](x+10)^2+(y-5)^2=4[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius
Plug in the center (-10,5) and the radius 2:
[tex](x-(-10))^2+(y-5)^2=2^2\\(x+10)^2+(y-5)^2=4[/tex]
I hope this helps!
Coverte 2.75 into fraction
Answer:
2 3/4 or 11/4
Step-by-step explanation:
2.75 = 11/4 = 2 3/4 as a fraction
To convert the decimal 2.75 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
2.75 = 2.75 / 1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
2.75 / 1 = (2.75 x 100)/(1 x 100) = 275/100.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(275,100) = 25. So,
(275 ÷ 25)/ (100 ÷ 25) = 11/4 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 275 /100
is also equal to 2 3/4 when expressed as a mixed number.
How to Convert a Decimal to a Fraction - Steps
Step 1: Write down the decimal as a fraction of one (decimal/1);
Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an interger at the numerator.
Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.
If –7 + 13i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
Group of answer choices
7 + 13i
-7 - 13i
20i
-13i
Answer:
2nd option -7 - 13i
Step-by-step explanation:
took review
a textbook store sold a combined total of 348 history and chemistry text in week.The number of history textbooks sold was three times the number of chemistry books were sold. how many book of each type were sold.
Answer:
x=87, y=261
Step-by-step explanation:
x+y=348 and 3x=y
plug 3x in for y.
x+(3x)=348
4x=348
x=87
plug x in to solve for y.
3(87)=y
y=261
multiply 6.23 and 2.8 the product is_________ (with solution please)
Step-by-step explanation:
please mark me as brainlest
help plz its so hard and im giving brainly and 20 points
Answer:
The answer is 5.
Step-by-step explanation:
10 ÷ 2 = 5.
Answer:
5
Step-by-step explanation:
If you want to divide ten blocks into two groups just imagine you split all of the blocks evenly, so you have ten and to have an equal amount of blocks on two sides you will put five on each side, then your answer is five because you are able now to equally divide them into two groups.
Hope it helps bai!
Happy Halloween if you celebrate it!
:- State the property involved in the statement: 96 X (123 – 11 ) = (96 X 123 ) – (96 X 11 ) a) Distributive property of multiplication for subtraction b) closer property c) Property of unity d) commutative law
please help me please help me
Answer:
Associative property of multiplication
Step-by-step explanation:
The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping. For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.
HELPP please.....................
Answer:
a.138 degrees
b.42 degrees
Step-by-step explanation:
Which values of a, b, and c correctly complete the division?
A. a = 4, b = 5, c = 6
B. a = 1, b = 6, c = 5
C. a = 1, b = 5, c = 6
D. a = 4, b = 6, c = 5
If we compare both sides of the equation we get,
D. a = 4, b = 6 and c = 5
The line y+4=3/4(x-8) contains point (a,2). Find a.
Answer:
a = 16
Step-by-step explanation:
[tex]y + 4 = \dfrac{3}{4}(x-8)\\\\y + 4 = \dfrac{3}{4}x- \dfrac{3}{4}*8\\\\y +4 = \dfrac{3}{4}x-3*2\\\\y+4+6= \dfrac{3}{4}x \\\\y+10= \dfrac{3}{4}x[/tex]
Now plugin x = a and y =2 in the above equation,
[tex]2+10= \dfrac{3}{4}*a\\\\12= \dfrac{3}{4}a\\\\12* \dfrac{4}{3}=a\\\\a=4*4\\\\a=16[/tex]
Evaluate the expression
12 - 3 2+429,- 4) for y = 3.
Answer:
9,427) y=5
is correct answer
Find the Quadratic function model that best fits this data.
Answer:
your answer is as follows
Step-by-step explanation:
the first option fits.. I.e., y=x^2-12
pogle...
Drought conditions in Texas are causing
lake levels to drop 3 inches per day.
If it doesn't rain for a week,
then what will the level change
be at the end of the week?
Answer:
21 inches
Step-by-step explanation:
if its 3 inches everyone day, and theres 7 days a week. that would mean it would drop 21 inches
Simplify the expression
Answer:
[tex]-\frac{4}{7} -\frac{8}{7} i\sqrt{5}[/tex]
Step-by-step explanation:
To rationalize the denominator, we would have to multiply by the complex conjugate of 6 + 2i√5 which is 6 - 2i√5:
[tex]\frac{8-8i\sqrt{5} }{6+2i\sqrt{5} } *\frac{6-2i\sqrt{5} }{6-2i\sqrt{5} }[/tex]
The denominator resembles the difference of squares:
6^2 - (2i√5)^2
36 + 20
56
Next we would need to multiply the numerator, but before, notice we can factor out 8 from 8 - 8i√5:
[tex]\frac{8(1-i\sqrt{5})(6-2i\sqrt{5}) }{56}[/tex]
We can cancel that 8 with that 56 in the denominator:
[tex]\frac{6-2i\sqrt{5}-6i\sqrt{5}-10}{7}[/tex]
This simplifies to:
[tex]\frac{-4-8i\sqrt{5} }{7}[/tex]
which is the same as:
[tex]-\frac{4}{7} -\frac{8}{7} i\sqrt{5}[/tex]
Samuel was preparing for the triathlon. He did 3 activities every morning: Ran for 30 minutes, covering 4.5 miles. Swam for 20 minutes, covering 2/3 mi. biked for 45 min, covering 9 miles. What was Samuel's average speed during his morning training?
PLEASE HELP!!!
Answer:
≈ 0.15 miles per minuteStep-by-step explanation:
Speed = distance / time
Let's find total distance and time
Distance
4.5 + 2/3 + 9 = 45/10 + 2/3 + 9 = 9/2 + 2/3 + 9 = (27 + 4 + 54)/6 = 85/6Time
30 min + 20 min + 45 min = 95 minAverage speed
85/ 6 ÷ 95 = 85/6*1/95 = 17/114 ≈ 0.15 miles per minuteAnswer:
8.9474
Step-by-step explanation:
just trust me please i swear to god it is 8.9474
2(5x+4)+3x
Solve.
No spam.
Answer:
≈13x+8
Step-by-step explanation:
Let's simplify step-by-step.
2(5x+4)+3x
Distribute:
=(2)(5x)+(2)(4)+3x
=10x+8+3x
Combine Like Terms:
=10x+8+3x
=(10x+3x)+(8)
=13x+8
[tex] \boxed {\bf Answered \: by \: subhash}[/tex]
[tex] \boxed{\bf Good \: luck \: for \: your \: assignment}[/tex]
Please answer the following questions. D Question 1 Morgan won $2,315 at a work raffle. They deposited $1898.30 into their savir What percent of their winnings did they deposit into their savings account? D Question 2
pls help i need this all my questions disappered
How many triangles are here
Answer:
6 types of triangles?
isosceles, equilateral, scalene, obtuse, acute, and right
How many Triangles are where ?
there is no image of triangles
thus i can not tell you how many triangles there are
The question is in the picture
Answer:
1/12Step-by-step explanation:
The spinner includes 12 numbers, 1 through 12.
The probability of getting each number is equal and is one out of 12:
P(11) = 1/12Total digits=12
11 is 1 among them
So
P(11)
No of 11s'/total nos1/11