The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
For the considered case, we're given that:
Initial amount Laura deposited = $5,500 = PType of interest: Compound interestUnit of time: AnnuallyRate of interest = 1.6% annually = RTotal unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:
[tex]A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)[/tex]
Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
Learn more about compound interest here:
https://brainly.com/question/11897800
Answer fast pls
(6m² -13m +5) / (2m-1)
Factor this polynomial
Answer:
(2m - 1)(3m - 5)
Which inequality represents the sentence below? the difference of a number and one and four tenths is more than nine and seventy-eight hundredths. p minus 1.4 greater-than 9.78 p minus 1.4 less-than 9.78 1.4 minus p greater-than 9.78 1.4 minus p less-than 9.78
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
100 on edge test
PLEASE HELP ASAP! I AM TIMED!
How will the area of a square change if its side becomes twice as long; 3 times as long; 10 times as long; n times as long?
Answer:
4, 9, 100, n^2
Step-by-step explanation:
Its very simple, all you have to do is find the number to the power of two because its a square.
Captain Perguin bought 150 crackers for his
pet parrot. He ate 10% of them himself. How
many crackers did Captain Perguin eat?
Answer:
15
Step-by-step explanation:
Percentages represent a proportion of a number. This means that a percentage represents part of a whole.
In this question, Captain Perguin ate 10% of 150 crackers. There are 2 ways to solve this problem explained below.
Multiplication
One way to find a percentage is through multiplication.
First, convert the percentage into a decimal. Do this by moving the decimal point 2 places to the left. This means that 10% becomes 0.1Next, multiply this decimal by the whole number. Then, multiply [tex]150*0.1=15[/tex].This means that Captain Perguin ate 15 crackers.Shortcut
Multiplication is not the only way to find the answer. This question is special because it asks for 10%. Instead of multiplication, you could simply move the decimal point of the original number 1 digit to the left. This means that 10% of 150 must be 15. Remember this trick does not work for percentages other than 10%.
10 + (2 x 3)^2 ÷ 4 x 1/2^3
Answer:
the answer is 11.125
Step-by-step explanation:
Multiply the numbers
Evaluate the exponent
Divide the numbers
Multiply the numbers
Evaluate the exponent
Add the numbers
Solution: 89/8 or 11.125
HOPE THIS HELPS!!! :)
Step-by-step explanation:
remember the priorities :
first brackets
then exponents
then multiplications and divisions (from left to right)
then additions and subtractions (from left to right)
remember, a fraction is a division ...
10 + (2 × 3)² ÷ 4 × 1/2³ =
= 10 + 6² ÷ 4 × 1/2³ =
= 10 + 36 ÷ 4 × 1/8 =
= 10 + 9 × 1/8 =
= 10 + 9/8 =
= 10 9/8 = 11 1/8 = 89/8 = 11.125
Is a triangle with sides 7meters, 6 meters, and 9 meters a right triangle? Explain.
When designing a new school cafeteria, the school administrators planned for there to be twice as many tables in each row as there are rows. After increasing the size of the cafeteria, it was decided to add 3 more rows of tables and to increase the original number of tables in each row by 2. The maximum number of tables the cafeteria can hold is 126.
If r represents the original number of rows the school administrators planned to have in the cafeteria, which of the following represents this situation?
A.
2r2 + 7r + 6 ≤ 126
B.
2r2 + 8r + 6 ≥ 126
C.
2r2 + 7r + 6 ≥ 126
D.
2r2 + 8r + 6 ≤ 126
Answer:
D.
Step-by-step explanation:
i belive it will be that baded on the fact it said twice as many rows.
What is this I need help ASAP plsssssssssssssssssssssss
Answer:
6 14/15
Step-by-step explanation:
change to improper fraction
change to common denominator
solve parentheses
subtract
Graph y = x + 4
PLEASE HURRY!!!
Answer:
Step-by-step explanation:
Find the 2nd, 3rd and 4th term of the geometric sequence
4.5,_,_,_,364.5
Step-by-step explanation: This is a geometric progression, so apply the formula:
[tex]ar^{n-1}[/tex], where a = first term in the sequence
r = common ratio
n = position of term
So first find r, which is the common ratio, and after that just substitute the numbers into the equation. n is the only thing that changes.
Refer to the picture for solving
(brainiest please :) )
If you are buying at item at a store for a price of $41, and there is a 7.3% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:44$
Step-by-step explanation:
7.3% of 41 is 2.993
add that to 41 and u get 43.993
round up and u get 44$
Please answer 50 points
Answer: I'm not sure but i think is 21
Answer:
The answers are number 1, 3 and 4
Step-by-step explanation:
I need help with this please because I don’t know how to do it and I never learned it before.
Answer:
3ft to 1ft
Step-by-step explanation:
24/8=3 and 8/8=1
See image below the post
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
[tex]\boxed{x = -17}[/tex]
✽ Simplify both sides of the equation.
[tex]\frac{x+2}{5}-\frac{x+1}{4}=1[/tex]
[tex]\frac{1}{5}x + \frac{2}{5} + \frac{-1}{4} = 1[/tex] (Distribute)
[tex](\frac{1}{5}x + \frac{-1}{4} ) + (\frac{2}{5} + \frac{-1}{4}) = 1[/tex] (Combine Like Terms)
[tex]\frac{-1}{20}x + \frac{3}{20} = 1[/tex]
✽ Subtract 3/20 from both sides.
[tex]\frac{-1}{20}x + \frac{3}{30} - \frac{3}{20} = 1 - \frac{3}{20}[/tex]
[tex]\frac{-1}{20}x = \frac{17}{20}[/tex]
✽ Multiply both sides by 20/(-1).
[tex]( \frac{20}{-1}) * (\frac{-1}{20}x) = (\frac{20}{-1}) * (\frac{17}{20})[/tex]
Hence, x = -17
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Circle a has a radius of 17 inches. what is the circumference of circle a?
Answer:
106,81 inch ..............
A square garden is expanded to a rectangle in which the width is 1.5 times the original side length and the length is 3.5 times the original side length. The area of the expanded garden can be modeled by the expression (1.5s)(3.5s).
Simplify the expression (1.5s)(3.5s).
5s
5s2
5.25s2
5.25s
Answer:
Step-by-step explanation:
To simplify, we multiply the like terms, which are the constant, and the s. For the constants of 1.5, and 3.5, we just do 1.5x3.5 to get 5.25, and when we multiply both s's together, we get [tex]s^2[/tex]. adding those 2 together, we get 5.25[tex]s^2[/tex]. so it would be the third one down.
please rate and mark as brainlest.
Answer:
C 5.25s2
Step-by-step explanation:
I just need to say this.. Every time I look something up for the answer on google it leads me to an incorrect answer but when I look up something on Brainly somebody tells me the CORRECT answer. I'm telling you, People on brainly who answer on here are smarter than google. Keep up the good work people.
Answer:
Thank you!
Step-by-step explanation:
In the diagram, QS | UT ,RS = 4 , ST = 6 , and QU = 9 What is the length of RQ ?
RQ=
Answer:
QR=6
Step-by-step explanation:
Divide 6 by 4 equal 1.5
So you need to divide 9 by 1.5 which is equal to 6
So RQ=6
57+16 is the same as 60+
Answer:
57+16 is the same as 60+13
Answer:
57+16 is the same as 60+13
Step-by-step explanation:
calculate the Highest common factor of 130,260,390
the Highest common factor of 130,260,390 = 130
130 = 2⋅5⋅13
260 = 2⋅2⋅5⋅13
390 = 2⋅3⋅5⋅13
Common multipliers (130; 260; 390): 2, 5, 13
Now to find the highest Common factor you need to multiply the common factors
Answer: (130 ; 260 ; 390) = 2 ∙ 5 ∙ 13 = 130
Answer:
130
Step-by-step explanation:
130 = 2x5x13
260 = 2x2x5x13
390 = 2x3x5x13
common factors = 2, 5, 13
therefore, 2x5x13 = 130
Cheers!
are the lines y=-5 and y=3 parallel
Answer:
yes
Step-by-step explanation:
because both of them are horizontal straight lines
Terri and Kay are stocking cereal boxes in a middle aisle for a store display.
Together, they stocked 60 cereal boxes on the display. Kay stocked 8 more than of the 1/3 boxes that Terri
stocked. Which system of equations can be used to determine the number of cereal boxes Terri stocked
and the number of cereal boxes Kay stocked for the store display?
Let x represent the number of boxes Terri stocked and y represent the number of boxes Kay stocked.
Answer:
x = 26
y = 34
Step-by-step explanation:
Let the boxes stocked by Terri = x
Therefore the boxes stocked by Kay = x + 8 because he stocked 8 more boxes
Hence since they both stocked 60 boxes
x+x+8 = 60
2x = 60 - 8
2x = 52
divide both sides by 2
x = 26
Terri stocked 26 boxes and Kay stocked 26+8 boxes = 34 boxes
Given f (x) = 5(2 - x), what is the value of f (-4)?
Answer:
f(- 4) = 30
Step-by-step explanation:
To evaluate f(- 4) substitute x = - 4 into f(x), that is
f(- 4) = 5(2 - (- 4)) = 5(2 + 4) = 5(6) = 30
A bag contains some white and black balls . The probability of picking two white balls one after other without replacement from that bag is 14/33. Then what will be the probability of picking two black balls from that bag if bag can hold maximum 15 balls only?
Answer:
2/35
Step-by-step explanation:
Let w and b be the numbers of white and black balls in the bag respectively.
So, the total numbers of the balls in the bag is
[tex]n=w+b\;\cdots(i)[/tex]
As the bag can hold maximum 15 balls only, so
[tex]n\leq15 \;\cdots(ii)[/tex]
Probability of picking two white balls one after other without replacement
=Probability of the first ball to be white and the probability of second ball to be white
=(Probability of picking first white balls) x( Probability of picking 2nd white ball)
Here, the probability of picking the first white ball [tex]=\frac{w}{n}[/tex]
After picking the first ball, the remaining
white ball in the bag [tex]= w-1[/tex]
and the remaining total balls in the bag [tex]=n-1[/tex]
So, the probability of picking the second white ball [tex]=\frac{w-1}{n-1}[/tex]
Given that, the probability of picking two white balls one after other without replacement is 14/33.
[tex]\Rightarrow \frac{w}{n} \times \frac{w-1}{n-1}=\frac{14}{33}[/tex]
[tex]\Rightarrow \frac{w(w-1)}{n(n-1)} =\frac{14}{33}[/tex]
Here, [tex]w[/tex] and [tex]n[/tex] are counting numbers (integers) and 14 and 33 are co-primes.
Let, [tex]\alpha[/tex] be the common factor of the numbers [tex]w(w-1)[/tex] (numerator) and [tex]n(n-1)[/tex] (denominator), so
[tex]\frac{w(w-1)}{n(n-1)} =\frac{14\alpha}{33\alpha}[/tex]
[tex]\Rightarrow w(w-1)=14\alpha\cdots(iii)[/tex]
And [tex]n(n-1)=33\alpha.[/tex]
As from eq. (ii), [tex]n\leq 15[/tex], so, the possible value of [tex]\alpha[/tex] for which multiplication od two consecutive positive integers (n and n-1) is [tex]33\alpha[/tex] is 4.
[tex]n(n-1)=11\times (3\alpha)[/tex]
[tex]\Rightarrow n(n-1)=12\times11[/tex] [as [tex]\alpha=4[/tex]]
[tex]\Rightarrow n=12[/tex]
So, the number of total balls =12
From equation (iv)
[tex]w(w-1)=7\times (2\alpha)[/tex]
[tex]\Rightarrow w(w-1)=8\times7[/tex]
[tex]\Rightarrow w=8[/tex]
So, the number of white balls =8
From equations (i), the number of black balls =12-8=4
In the similar way, the required probability of picking two black balls one after other in the same way (i.e without replacement) is
[tex]=\frac{b}{n} \times \frac{b-1}{n-1}[/tex]
[tex]= \frac{4}{15} \times \frac{4-1}{15-1}[/tex]
[tex]= \frac{4}{15} \times \frac{3}{14}[/tex]
[tex]= \frac{2}{35}[/tex]
probability of picking two black balls one after other without replacement is 2/35.
Solve equation with fractions. 1/4h=6 what does h equal
Answer:
24
Step-by-step explanation:
[tex]\frac{1}{4}h=6[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}h=6\cdot \:4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]h=24[/tex]
Hence, h = 24
~Learn with Lenvy~
Answer:
24
Step-by-step explanation:
*Combine multiplied terms into a single fraction
1/4h=6 → 1h/4=6
*Multiply by 1
1h/4=6 → h/4=6
*Multiply all terms by the same value to eliminate fraction denominators
h/4=6
4×h/4=4×6
*Multiply the numbers
h=4×6
=24
In this activity, you will create an image and an equation to model a situation
and then solve the equation.
Roger and his friends conducted a clean-up drive at their school. They formed
three teams, Team A, Team B, and Team C, and they collected 12 pounds of
trash in all. Team B collected 3 pounds of trash, and Team C collected 5 pounds
of trash.
The pan balance represents equality. Draw shapes on both sides of the
balance scale to represent the situation. Use a sphere to represent each
pound of known trash and a cube to represent the total weight of the
unknown trash.
Answer: For the first scale, u would put a cube and 8 spheres. For the second, u would put the total which is 12 so 12 spheres.
Step-by-step explanation:
The trash collected by all the three teams is shown by the 8 spheres and a box on one side of the scale. Since the weight was 12 pounds, it can be shown as 12 spheres on the other side of the scale
Im pretty sure this is right, Enjoy!
Suzie babysits for $6 per hour. She also works as a housecleaner for $9 per hour. She is only allowed to work 15 hours per week. She wants to make at least $95 per week. If we call babysitting, x, and housecleaning, y, which of the solutions would fit this scenario?
Answer:
x+y≤15
6x+9y≥95
Step-by-step explanation:
Let x be the hours worked for babysitting and let y be the hours worked for house cleaning.
As Suzie babysits for $6 per hour. She also works as a house cleaner for $9 per hour.
Total hours she can work= 15 hours per week.
Hence,
x + y is less than or equals to 15
But since she wants to make at least $95 per week. It implies that,
6x + 9y is greater than or equal to 95
So from the statements above, the equations will be:
x+y≤15
6x+9y≥95
1 1/4 x 3/4 as a fraction
Answer:
2 and 1/16th! ^^
Step-by-step explanation:
Answer:15/16
Step-by-step explanation:
1 1/4×3?4
= 5/4×3/4
= 5 × 3/4 × 4
= 15/16
A worker earns $9 per hour and works 25 hours each week. If the worker receives a 3% pay increase, how much additional pay will the worker earn each week?
the answer choices:
1)$2.70
2)$6.75
3)$9.27
4)$10.20
Answer:
$6.75
Step-by-step explanation:
25 hours times $9= $225/week
3% increase from $9.00= $0.27
$9.27 times 25 hours= $231.75
$231.75-$225= $6.75 more per week
help pls i’ll give brainliest
Answer:
53
Step-by-step explanation: