A deposit of $2000 is invested in an account that earns 4.5% interest. The duration of time before the balance reaches $3000 is 9.2 years.
From the given information;
the principal deposited amount = 2000the annual interest rate = 4.5%the amount (A) estimated in t years = 3000The time required until your balance reaches the amount of 3000 can be estimated by using the given formula;
[tex]\mathbf{A = P ( 1+ r)^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1+ \dfrac{4.5}{100})^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1+ 0.045)^t}[/tex]
[tex]\mathbf{3000 = 2000 ( 1.045)^t}[/tex]
[tex]\mathbf{3 = 2( 1.045)^t}[/tex]
[tex]\mathbf{( 1.045)^t= \dfrac{3}{2}}[/tex]
[tex]\mathbf{( 1.045)^t= 1.5}[/tex]
[tex]\mathbf{( 1.045)^t= 1.5}[/tex]
t = 9.2 years
Therefore, we can conclude that the time duration (in years) until your balance reaches $3000 is 9.2.
Learn more about simple interest here:
https://brainly.com/question/22621039?referrer=searchResults
In how many ways can Carlos draw a blue or a green marble from a jar containing 30 blue marbles and 6 green marbles?
5
36
24
180
Answer:
5 ways
Step-by-step explanation:
He can draw in 5 ways
Answer:
36
Step-by-step explanation:
I chose 5 and missed it. Review says correct answer is 36
the ratio of a shorter walkway to a longer walkway is 3 to 5. the lenght of the sorter walkway is 45 meters. what is the lenght of the longer walkway
Answer:
75 mStep-by-step explanation:
Let s- shorter walkway, l- longer walkway.
Given:
s/l = 3/5s = 45 mFind the length of l:
45/l = 3/5l = 45*5/3l = 75 mAnswer:
[tex]\sf\longmapsto \: length = 75 \: metres[/tex]
Step-by-step explanation:
Now let's find out what's the length of the long walkway–
[tex]\sf\longmapsto \: \frac{3}{5} = \frac{45}{\: length\: of \:longer\: walkway} [/tex]
[tex]\sf\longmapsto \: \: length\: of \:longer\: walkway= \frac{45 \times \: 5 }{3} [/tex]
[tex]\sf\longmapsto \: length\: of \:longer\: walkway= 75 \: metres[/tex]
The length of the longer walkway is [tex]\sf\longmapsto \: length = 75 \: metres[/tex]
If x=5 find the value of (x+3) ²
Answer:
64
Step-by-step explanation:
x = 5
5 + 3 = 8
8²= 8 x 8 which is 64
Answer:
(x+3) ²
((5)+3) ²
(8) ²
64
I needhelp with this math assignment
mr gardener is makin 6 treat bags.he has 185 chocloate coverd raisins. how many chocolate coverd rasins will be on each bag
Answer:
30
Step-by-step explanation:
he will still have extra but not enough to make another bag
Evaluate 64^1/2x 10^-2
Give your answer as a fraction in its simplest form.
Answer:
your fraction is 32/100
Step-by-step explanation:
64^1=64 -> 64/2 = 32
10^-2= 0.01 -> 32 * 0.01 = 0.32 = 32 over 100
What is the answer to this question
Answer:
2118/12681
Step-by-step explanation:
Number of students absent in high school/Total number of students in high school
2118/12681
what is the square root of 46?
[tex] \sqrt{46} ≈6.78233[/tex]
It is not a perfect square root because the number we are getting is in decimal.Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. On sunday, sam hopes to make atleast $150 painting rooms and can work for exactly 10 hours. Which of the following sets represents the range of money (m) that sam can make without violating either his monetary or time restriction?
A. m= {150,250}
B. m={0,150}
C. m={0,250}
D. m={100,250}
Answer: A, {150,250}
Step-by-step explanation:
In 10 hours he can do 5x2 hours work. or 5x$50 = $250 for 5 rooms
$150 is 3x $50 or 3x2 hours work.
He can work 6 hours and make $150
or he can work 10 hours and make $250
the range he can earn so that he makes at least $150 and no more than 10 hours is$150 to $250
($150,$250) in interval notation for working 6 to 10 hours (6,10)
Use the figure below to answer the question
Solve for x
Answer:
Step-by-step explanation:
The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with six sides, so we will let n = 6. The sum of the interior angles in this polygon would be 180(6 – 2) = 180(4) = 720. The angle on the bottom left is a right angle because of the square indicator. We know that this is 90 degrees. If we take the sum of the angles that we know we get 593. 720 - 593 = 127. x = 127.
Answer:
x=127
Step-by-step explanation:
take 180(n-2) where n=6, and you get 180(6-2) which simplified is 180(4) = 720. The sum of all the other angles is 593. subtract 593 from 720 (720-593=127). 127 is the angle of x.
all the steps laid out:
1. 180(n-2)
2. n=6
3. 180(6-2)
4. 180(4) = 720
5. 126 + 112 + 155 + 110 + 90 = 593
6. 720 - 593 = 127
7. x=127
HELPPP PLEASE THANK YOU
What is 0.000000037 written in scientific notation?
The scientific notation is 3.7 × 10^-8
:)
For every 1000 hits a You Tube channel gets it makes £40 from ad revenue. How many hits will the You Tube channel need to make £1?
Answer:
25 hits
Step-by-step explanation:
you would divide 1000 by 40 and get 25
Three times a number increased by 44 is the same as the opposite of the number. Find the number
Answer:
- 11
Step-by-step explanation:
let the number be n then 3 times the number is 3n and the opposite is - n
3n + 44 = - n ( add n to both sides )
4n + 44 = 0 ( subtract 44 from both sides )
4n = - 44 ( divide both sides by 4 )
n = - 11
The required number is - 11
HELP ME PLEASE PLEASE PLEASE
Answer:
See belowStep-by-step explanation:
A → Rational function = function with rational variablesB → Rational equation = equation with rational variablesC → Rational inequality = inequality with rational variablesD → None of these = variables with rootsGrouped as following:
A ⇒ 4, 5, 13B ⇒ 1, 2, 8, 11, 15C ⇒ 3, 6, 12D ⇒ 7, 9, 10, 14PLEASE SHOW WORK AND I'LL MARK BRAINLIEST
The regression equation y=-0.433x+104.94 approximates the percent of people in an audience who finish watching a documentary, y, given the length of the film in minutes, x.
What is the best prediction for the percent of people in an audience who will finish watching a documentary that is 60 minutes long? (Round your answer to the hundredths place and Do not include the percent sign in your answer as the computer knows it is a percentage)
You must show your work on this problem to receive credit.
Your Answer:
Answer:
78.96Step-by-step explanation:
Substitute x with 60 into the regression equation and evaluate:
y = -0.433*60 + 104.94 = 78.96%The quotient of a number x and five
Answer: fun fact : by reading what i just right u just lost 5 sec of ut life
Step-by-step explanation:
-x³-x²+5x-3 find each polynomial by degree and number of terms
Answer:
- (x-1)^2 x (x+3) is correct ans
Step-by-step explanation:
rewrite the expression
-x^3 - x^2 + 5x - 3
factor the expressions
x^3 + x^2 -2x^2 +2x=3x-3
factor the expression
-x^2 x (x-1)-2x x (x-1) +3 (x-1)
rewrite the expression
-(x-1) x (x^2 + 2x-3)
rewrite
-(x-1) x (x^2 + 3x - x - 3)
factor the expression
-(x-1) x (x^2+2x-3)
factor the expression
-(x-1) x (x x(x+3)-(x+3)
write in exponential form
-(x-1) x (x+3) x (x-1)
solution:
-(x-1)^2 x (x+3)
(Hope this helps can I pls have brainlist (crown)☺️)
Write the equation of the parabola in vertex form.
vertex (2,4), point (3,-2)
f(x)=
Answer:
f(x)=2x2−8x+4. Explanation: the equation of a parabola in vertex form is.
Which of the answer choices is a possible value for x? Select all that apply.
8x > 24
A: 2
B: 3
C: 4
D: 5
E: 6
Answer: B: 3
Step-by-step explanation:
The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches, find the dimensions of the rectangle
Answer:
length = 12
width = 9
Step-by-step explanation:
Let w= width of rectangle
length = w + 3
2w + 2(w + 3) = 42
2w + 2w + 6 = 42
4w = 36
w = 9 ( width of rectangle)
width = 9 inches
length = 9 + 3 = 12 inches
A cross between two heterozygous pea plants with yellow seeds
produced 1,719 yellow seeds and 573 green seeds. What is the ratio of
yellow to green seeds? Construct an explanation about what the
results show regarding inheritance.
Answer:
1719: 573 = 41.46: 23.93
I really need help. PLEASE
Answer:
Question 1: 2 Question 2: 1/3 Question 3: -3
Step-by-step explanation:
rise over run :)
A rectangle's length is four-fifths its width. The
perimeter is ten less than 5 times its width.
What is the area of the rectangle?
Becky has 30 T-shirts in a drawer: 12 concert shirts, 8 team shirts, and 10 plain shirts. Of
the 10 shirts she randomly selects to give to charity, 3 are concert shirts. How does this
frequency compare to the expected frequency based on the probability of randomly
selecting a concert T-shirt?
Answer:
The chance of her selecting a Cocert shirt are 12/30 which means therw is more probability she would choose at least one and the least probability to choose a Team sirt since the odds are 8/30 so it is expected she would select 4 concert shirts not 3, at lest for me.
What is 6% of 24.55 rounding to the nearest hundredth
Answer:
24.56!
Step-by-step explanation:
4 or less stays the same 5 or more goes up
SOMEONE HELP ASAP!!! PLAeASE eXPLAIN HoW U DID IT TOO
Answer:
Step-by-step explanation:
The first step will always be to break it down into steps.
Nathan lifted 13 boxes, each weighing 12 lb more than Steven's boxes. Steven lifted 15.
The total weight of Nathan's boxes would be the weight of 1 box times 13, because he lifts a total of 13 boxes.
S is the weight of Steven's boxes.
Steven's box + 12 lb = the weight of one of Nathan's boxes.
Then, you would multiply that number by 13 to get your answer.
Therefore, the first option is correct.
13(s + 12)
number of boxes Nathan lifted(Steven's weight + the extra pounds)
Hope this helped!
Answer:
13(s + 12)
Step-by-step explanation:
y-6=-4(x+4) show steps.
Answer:
y = -4x - 10
Step-by-step explanation:
y-6=-4(x+4)
1: distributive property
y-6= -4x - 16
2: add 6 both sides
y = -4x - 10
What's 100 x 2000 x 2 x 1.45 x 5 x 7 x 78345 x 0?
Answer: the answer is 0
Step-by-step explanation: anything multiplied with 0 has an answer of 0
Which one is this answer for this can someone help me pzl
Answer:
66
Step-by-step explanation:
The red mark with "22" indicted that's 22, So you can remove 44(A) and 66(D), It cant be 22(B), Its Cleary 11.5(C)