Answers
Answer:
A = $5183.36
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested rather than paying it out. Interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Abdul deposited P=$4000 into an account with r=2.6% = 0.026 compounded quarterly. Since there are 4 quarters in a year, n=4. We are required to calculate the amount in the account after t=10 years.
Applying the formula:
[tex]{\displaystyle A=4000\left(1+{\frac {0.026}{4}}\right)^{4*10}}[/tex]
[tex]{\displaystyle A=4000\left(1.0065\right)^{40}}[/tex]
A = $5183.36
Related Questions
Justify Step 4 of this Proof
Answers
Answer:
I believe it's SSS
Step-by-step explanation:
This is because all sides are congruent to each other.
Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answers
Answer:
are you sure it is not 180? if it is it is 12.87
but if it is 238 it is 21 days or something close
Simplify:
5x - 6x- 8x + 7
Answers
Answer:
-9x+7
Step-by-step explanation:
Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi
Answers
Answer:
147 gallons
Step-by-step explanation:
21 miles x 7 gallons
I need help and D. Is x>-25
Answers
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
what is x in 4x²-12x+ 9 = 0
Answers
Answer: x = √9/8
answer is x = square root of 9/8
Step-by-step explanation:
For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
Answers
Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.
By the factor theorem, we can write the quadratic in terms of its zeroes as
x² + kx + 12 = (x - a) (x - b)
Expand the right side and equate the coefficients:
x² + kx + 12 = x² - (a + b) x + ab
Then
a + b = -k
ab = 12
The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.
Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :
a + (a - 1) = -k → 2a = 1 - k → a = (1 - k)/2
a (a - 1) = 12 → (1 - k)/2 • ((1 - k)/2 - 1) = 12
→ (1 - k)²/4 - (1 - k)/2 = 12
→ (1 - k)² - 2 (1 - k) = 48
→ (1 - 2k + k²) - 2 (1 - k) = 48
→ k² - 1 = 48
→ k² = 49
→ k = ± √(49) = ±7
What decimal is equal to 6/20
O 0.2
O 0.3
O 0.6
O 0.8
Answers
Let x= t+2 and y= t² Write an equation for y in terms of only X
Answers
Answer:
[tex] y = {x}^{2} - 4x + 4[ /tex]
Step-by-step explanation:
[tex] x = t + 2 \\
\implies \: x - 2 = t....(1) \\
y = {t}^{2} ....(2) \\
plug \: t = x - 2 \: in \: equation \: (2) \\
y = {(x - 2)}^{2} \\
\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]
Part II. Find x.
Gx-56
x + 10
What kinds of angles are these?
Answers
Answer:They are corresponding angles
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
Carson invested $850 in an account paying an interest rate of 5.7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 6 years?
Answers
Answer:
$850×5.7/100=48.45
850+48.45=898.45
898
Answer: 1197
Step-by-step explanation:
Which is true? Any translation can be replaced by two reflections. Any translation can be replaced by two rotations. Any rotation can be replaced by a reflection. Any reflection can be replaced by a rotation followed by a translation.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
There is no numbering of the question, which is specified in the enclosed file. please, Find it.
In point 1, the statement is true .
In point 2, the statement is False.
In point 3, the statement is true .
In point 4, the statement is False.
what is the slope of a line passing through the points (7,5) and (3,5)
Answers
Answer:
[tex]m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 5)
Point (3, 5)
Step 2: Find slope m
Substitute: [tex]m=\frac{5-5}{3-7}[/tex]Subtract: [tex]m=\frac{0}{-4}[/tex]Divide: [tex]m=0[/tex]Answer:
0/-4
Step-by-step explanation:
You would us the slope formula: [tex]\frac{y2-y1 }{x2-x1}[/tex]
so y2 is 5 and y1 is 5 so 5-5= 0
then x2 is 3 and x1 is 7 so 3-7= -4
so the slope is [tex]\frac{0}{-4}[/tex]
HELP ILL GIVE BRAINLIST
Answers
Answer:
$4.25
Step-by-step explanation:
Easy price is 85 so
Divide 85 by 100
0.85
then multiply by 5
0.85*5=4.25
Brainliest please and you're welcome
The subject of the formula is y
y = x - 5
Rearrange the formula to make x the subject.
Answers
Answer: x=y+5
Step-by-step explanation:
Add 5 to both sides:
y+5=x-5+5
y+5=x
Answer:
x=y+5
Step-by-step explanation:
y=x-5
move 5 to the other side of the equation we sign changes
y+5=x
rearanging makes
x=y+5
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.
Answers
Answer: 8 skates
Step-by-step explanation:
Given that:
Skate rental = $3
Let number of skates rented by cotters = x
Hence, amount paid by cotters = 3x
The Moores paid $6 more
Moores amount = 3x + 6
Combined amount paid = 42
3x + 3x + 6 = 42
6x + 6 = 42
6x = 42 - 6
6x = 36
x = 36 / 6
x = 6
Hence, amount spent by the Moore's:
3x + 6
3(6) + 6 = 18 + 6 = $24
Cost per skate rental = $3
Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates
ILL GIVE BRAINLIEST AND LOTS OF POINTS
Find the percent of increase
6. from 44 to 66 7. from 6 to 6.5
Find the percent decrease. Where necessary round to the nearest tenth of a percent
8. from 56 to 36 9. from 72 to 18
Answers
Answer:
6. 33% increase
Step-by-step explanation:
Equation of increase/decrease: (Final value-initial value)÷(Initial Value)
6. (66-44)÷(66)=0.33
-Multiply by 100 to get 33% increase
7. (6.5-6)÷(6)=0.083
-Round and multiply by 100 to get 8.0% increase
8. (56-36)÷(56)=0.357
Round and multiply by 100 to get 36% decrease
9. (72-18)÷72=0.75
Multiply by 100 to get 75% decrease
Answer:
from 44 to 66 7 from 6 to 6.5
1415.9090909091%
667 - 44
44
x 100% = 1415.9090909091%
8.3333333333%
6.5 - 6
6
x 100% = 8.3333333333%
i dont know the other one sorry :(
Yesterday I drank 16 cups of coffee. Today I drank 82% more cups. How many cups of coffee did I drink today?
Answers
Answer: 29.12 cups of coffee
Step-by-step explanation:
16 cups of coffee x 0.82 = 13.12
13.12 + 16 = 29.12
adding and subtracing linear wxpressions 12(−4x+8)−14(8x−12)
Answers
Answer:
-160x+264
Step-by-step explanation:
-48+96x-112x+168
-160+264
what is the square root of a perfect square always rational
Answers
Answer:
The square root of a perfect square will always be a whole positive or negative number
Step-by-step explanation:
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answers
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18
Answers
Answer:
First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)
So we know that the two integers will be close to 8.48
Since they are consecutive, lets first test out 8 and 9
We multiply these two and get 72, which is the number we were looking for.
now we find their sum.
9 + 8 = 17
Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.
-9 + -8 = -9 - 8 = -17!
So, the answer you are looking for is E: -17
Please answer quickly its a test and i need to get a good grade on it, will give brainliest
What was an important impact of the Louisiana Purchase?
A. The land size of the United States was doubled and vast new resources were acquired.
B. The United States was pushed into a long, costly war with the Indian tribes in the territory.
C. The United States became a major world power rivaling Great Britain in wealth and influence.
D. The people of the United States began an immediate land rush into the territory to form new states.
Answers
I think the answer is A because it I'm right it did double the size.
Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?
Answers
Answer:
350miles
Step-by-step explanation:
Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilaterat ABCD will be reflected across the x-axis and then rotated 90 clockwise about the origin to create quadrilateral A^ prime B^ prime C^ prime D^ prime . What will be the y -coordinate of B?
Answers
Answer:
Step-by-step explanation:
180 degree rotation about point C prime composition reflected across line m
Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.
The y-coordinate of B" is 3
The coordinates of vertex B of quadrilateral ABCD is:
[tex]\mathbf{B = (-3,7)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{B' = (-3,-7)}[/tex]
The rule of 90 degrees clockwise rotation across the origin is:
[tex]\mathbf{(x,y) \to (y,-x)}[/tex]
So, we have:
[tex]\mathbf{B" = (-7,3)}[/tex]
Hence, the y-coordinate of B" is 3
Read more about transformation at:
https://brainly.com/question/18549175
Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.
Answers
Answer:
Step-by-step explanation:
What grade?
Answer:
$67
Step-by-step explanation:
4000 for 4% equal $160/year total in 5 year equal $4800
the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne
Solve -(10x + 1) + 4(x- 1) = -23
Answers
Answer:
x = 3Step-by-step explanation:
-(10x + 1) + 4(x- 1) = -23 expand-10x - 1 + 4x - 4 = -23 combine similar terms-10x + 4x = -23 + 1 + 4 simplify-6x = -18 divide -6 both sidesx = -18 / -6 simplifyx = 31. distribute the negative.
2. subtract the numbers
3. combine like terms
4. add five to both sides of the equation
5. simplify
6. divide both sides of the equation by the same term
7. simplify again :)
have a good day
If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
,what is its next term ak+1 when k is even?
Answers
Given:
kth term of a sequence is
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
To find:
The next term [tex]a_{k+1}[/tex] when k is even.
Solution:
We have,
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
Put k=k+1, to get the next term.
[tex]a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}[/tex]
If k is even, then k+1 must be odd and odd power of -1 gives -1.
[tex]a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}[/tex]
[tex]a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}[/tex]
[tex]a_{k+1}=-\dfrac{1^2-k^2}{2k+1}[/tex] [tex][\because (a-b)(a+b)=a^2-b^2][/tex]
[tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex]
Therefore, the next term is [tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex].
Graph the following line. y=3/2x -5
Answers
Answer:
See the attached image.
Step-by-step explanation:
Remember the equation of the line is y = mx + b.
m = 3/2 (slope) ... rise/run. up 3 over 2.
b = -5 (y-intercept)
*These lines go on forever.
The graph of the line y = (3/2)x - 5 is given below.
Given that:
Equation of the line is y = (3/2)x - 5
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
Convert the equation into intercept form, then we have
y = (3/2)x - 5
(3/2)x - y = 5
x / 3.33 + y / (-5) = 1
The graph of the line is given below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ6
3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?
Answers
Answer:
i think they both scored the same
Answer:
Colton did.
Step-by-step explanation:
Jack's score was 80%.
Colton got a score of 83.33...
I got Colton's score by solving 10/12.