Answer:
Step-by-step explanation:
12(n/12 = 8 + n)
n = 96 + 12n
-11n = 96
n = -96/11
Answer:
-96/11 or -8 8/11
Step-by-step explanation:
For this, create an equation, x/12=x+8.
Any number without a denominator has a denominator of 1, so x/12=(x+8)/1.
Now, cross multiply to get 1*x=12(x+8).
Simplify that to x=12x+96.
Subtract 12x from both sides, and you have -11x=96.
Divide by -11, and x=-96/11.
Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a master's degreee. To achieve this goal, you deposit $ 5000 at the end of each year in an annuity that pays 6.5 % compounded annually.
a. After 5 years, you will have approximately= $
(Do not round until the final answer. Then round to the nearest dollar as needed.)
b. The interest is approximately= $
(Use the answer from part a to find this answer.)
Answer: a. After 5 years, you will have approximately= $ 6,850.43 .
b. The interest is approximately =$ 1850.43
Step-by-step explanation:
Given: Principal amount (P) = $5000
Rate of interest (r)= 6.5% = 0.065
n= 1 (compounded annually)
a) Time (t) = 5 years
Formula for accumulated amount :
[tex]A=P(1+\dfrac rn)^{nt}[/tex]
Then,
[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]
Hence, After 5 years, you will have approximately $ 6,850.43 .
b) Compound interest = A-P
= $ 6,850.43 - $ 5,000
= $ 1850.43
Hence, The interest is approximately $ 1850.43.
Del Gato Clinic's cash account shows a $11,589 debit balance and its bank statement shows $10,555 on deposit at the close of business on June 30. Outstanding checks as of June 30 total $1,829. The June 30 bank statement lists a $16 bank service charge. Check No. 919, listed with the canceled checks, was correctly drawn for $467 in payment of a utility bill on June 15. Del Gato Clinic mistakenly recorded it with a debit to Utilities Expense and a credit to Cash in the amount of $476. The June 30 cash receipts of $2,856 were placed in the bank's night depository after banking hours and were not recorded on the June 30 bank statement.
Answer:
Adjusted bank balance $11,582
Adjusted book balance $11,582
Step-by-step explanation:
Preparation of bank reconciliation statements
DEL GATO CLINIC Bank Reconciliation
June 30
Bank statement balance $10,555
Add: Bank deposit $2,856
Total $13,411
Deduct: Outstanding checks $1,829
Adjusted bank balance $11,582
($13,411-$1,829)
DEL GATO CLINIC Bank Reconciliation
June 30
Book balance $11,589
Add: Error in check $9
($467-$476)
Deduct: Bank charges$16
Adjusted book balance $11,582
($11,589+$9-$16)
Therefore Adjusted bank balance will be $11,582 while Adjusted book balance will be $11,582
Help me please! What’s m
Answer:
should be 60 right?
Step-by-step explanation:
a triangle =180 degrees
angle be is 60
60+60+60 =180
not a very good explanation but im almost certain the answer is 60
Answer:
A = 60°
Step-by-step explanation:
B is equal to 60°, so 60 + 80 = 120
180° - 120° = 60°
Pls Brainliest, it would help a lot! ;)
What is the equation of the line using the information
below?
m= 10 and b=-3
Equation=
Answer:
y= 10x-3
Step-by-step explanation:
If you are using the y=mx+b model, the above answer is correct. M represents the slope and B represents the y-intercept.
Find the distance between the points -6.2 and -9.8.Show your work for full credit.
Answer:
it is 3.6
Step-by-step explanation:
it's in the pictures below.
Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?
Answer:
384
Step-by-step explanation:
No. of students in the club last year = 320
No. of students in the club this year increased by 20%
To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)
That is,
= 20% * 320
= 20/100 * 320
= 64
Finding the number of students in the club this year
320 + 64 = 384 students
NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase
There are between
and
languages spoken around the world.
Describe the end behavior of the graph f(x) using limits.
Answer:
um
Step-by-step explanation:
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Option B is the correct answer.
We have,
From the graph,
As the x-value increases, the function y-values goes to -∞.
As the x-value decreases, the function y-values goes to -∞.
Now,
f(x) is the y-value.
The end behavior of the graph f(x) using limits can be represented as,
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Thus,
The end behavior of the graph f(x) using limits are
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
and
[tex]\lim_{x \to \infty} f(x) = -\infty[/tex]
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ4
If two angles are adjacent, then they have a common ray
Answer:
There are some special relationships between "pairs" of angles. Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) ... A Linear Pair is two adjacent angles whose non-common sides form opposite rays.
Step-by-step explanation:
4x+2y-7x-z+8
What is the like terms
Answer:
4x and 7x
Step-by-step explanation:
Answer:
4x and -7x that is the answer
The amount of money Irene earns for walking dogs is shown in the table.
How much money in dollars does Irene earn for walking 15 dogs?
Irene's Earnings
Dogs Walked 2 4
6
8
Money Earned $10.50 $21.00 $31.50 $42.00
Your answer
Answer:$5.25
Step-by-step explanation:
is easy just do 10.50 divided by 2 and your answer is $5.25
4(2q – 3) = 8q-12
Pls solve and show steps
Answer:
LHS = RHS = -12
Step-by-step explanation:
=> 4(2q - 3 ) = 8q - 12.
=> 8q - 12 = 8q - 12 .
=> 8q - 8q - 12 = -12 .
=> -12 = -12 .
Hence LHS = RHS .
[tex]4(2q - 3) = 8q - 12[/tex]
[tex]8q - 12 = 8q - 12[/tex]
[tex]8q + - 12 = 8q + - 12[/tex]
[tex] - 12 - 8q = - 12 - 8q[/tex]
[tex] - 12 = - 12[/tex]
[tex] - 12 + 12 = - 12 + 12[/tex]
[tex]0 = 0[/tex]
By the above equation , we can conclude that any real number can be placed in the place of q to make the left hand side of the equation become equal to the right hand side of the equation .
Therefore , any real number ( integer , fraction and rational number ) can be placed in the place of q .
How do you evaluate a function.
Answer:
to evaluate a function, substitute the input
Step-by-step explanation:
(the given number or expression) for the function variable (place holder, x) replace the x with the number or expression. 1. given function f (x)=3x -5 finf (f) 4.
Li and Jen went shopping. • Li bought 5 pairs of earrings and 1 necklace for a total of $63. • Jen bought 1 pair of earrings and 2 necklaces for a total of $36. Each pair of earrings cost e dollars and each necklace cost n dollars. Which system of equations can be used to find the cost, in dollars, of each pair of earrings and each necklace?
Answer:
Earing is $13Necklace is $10Step-by-step explanation:
Firstly, let us express the cost
for Li
5e+n=63---------1
for Jen
e+2n=36---------2
the system of equations are
5e+n=63----1
e+2n=36-----2
Multiply 1 by 1 and 2 by 5 to eliminate e we have
5e+n=63
5e+10n=180
-0-9n=-117
9n=117
Divide both sides by 9 we have
n=117/9
n=13
put n=13 in eqn 1 we have
e+2(13)=36
e+26=36
e=36-26
e=10
Earing is $13
Necklace is $10
given the value of mean of 4,7,x,9,8 is 6. Calculate x.
Answer:
2
Step-by-step explanation:
mean=6
number of terms=5
mean =sum of the terms/number of terms
6 = 4+7+x+9+8/5
by cross multiplying,
4+7+x+9+8 = 6 × 5
x+28=30
x=30-28
x=2
hope this helps you!
Tabitha's mom gave her $10.00 to buy school supplies. Tabitha needs to buy 2 pens and some notebooks. If each pen costs $1.99 and each notebook costs $2.99, how many notebooks can Tabitha buy using only the money her mom gave her?
pls help ;c (40 points)
A survey found that women's heights are normally distributed with mean 62.6 in. And standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 68.3 in. And standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. And a maximum of 64 in. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?
Answer:
The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches
Step-by-step explanation:
To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.
For significance value of 0.5, z = 0
We are given;
μ = 68.3 in
σ = 2.5 in
Thus from z = (x - μ)/σ, we have;
0 =(x - 68. 3)/2.5
0 = x - 68. 3
x = 68.3 inches for men max
Similarly, for significance value of 0.05, z = -1.645
Thus to find x;
-1.645 = (x - 68. 3)/2.5
-4.1125 = x - 68.3
x = 68.3 - 4.1125
x = 64.1875 inches for men min
Last one
7(5k-25)=35
Answer:
7(5k-25)=35- distribute
35k-175=35- add 175 to both sides
35k = 210- divide
k=6
Step-by-step explanation:
can you guys please help
Answer:
I cant read all of that. Im sure others ant either.
Step-by-step explanation:
Answer:
i cant read it for some reason, can you type it?
Step-by-step explanation:
anyone know the first one ? i'll brainlist
Answer: ray
Step-by-step explanation:
Answer:
Ray
Step-by-step explanation:
because incident ray means the ray that comes from an object and strikes a surface and also it seems to work in that problem.
What is 330000 in standard to scientific notation?
Answer:
3.3*10^5
Step-by-step explanation:
Answer:
3.3 * 105
Step-by-step explanation:
Write the number between 1 and 9 and place decimal accordingly. So, the answer is 3.3 multiplied by 10 raised to power 5.
-9m-8+4m combine like terms ?
Answer:
-8-5m
Step-by-step explanation:
nash is training for a marathon and decided to run 26 miles every week,in the first week the ratio of the number of miles he ran to the number of miles he walked was 3:10 he ran 6 miles n first mirst week he ran 16 miles in the 5 week how many miles id he improved by from week 1 to week 5
Answer:
Step-by-step explanation:
10
Multi-step Equations
12) -(7 - 4x) = 9
Answer:
4
Step-by-step explanation:
-7+4x=9
4x=16
x=4
Express the following equation in slope-intercept form:
y-11 = -5/2 (x + 8)
Answer:
hope this helps :)
Step-by-step explanation:
y=−[tex]\frac{5}{2\\}[/tex]x−9
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below. Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 66 + 36 = 3 (22 + 12)
Step-by-step explanation:
Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
GCF (greatest common factor) = 6
Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :
66 + 36 = 3 (22 + 12)
But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :
66 + 36 = 6 (11+ 6)
= 6(17)
= 102
Hence, this is the required solution.
John owns a bakery. His recipe calls for 10 ounces of flour to make a pound
of bread. How much bread will he make if he uses 23 ounces of flour?
What is the image point of (0, -1) after a translation left 5 units and down 1 unit?
Answer:
The point is (-5, -2).
Step-by-step explanation:
Translation to the left means subtract from x value. Translation down means subtract from y value.
Answer:
(-5,-2)
Step-by-step explanation:
Subtract 5 from the x value
Subtract 1 from the y value
Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already.
Answer:
Yes, but doing so will clear out his account.
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
Aaron's bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:
Transaction
Cost ($)
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84
Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already
Aaron's bank account balance=$1213.69
He made all this transactions below;
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84
The summation of all his transactions is;260.16+97.98+75.00+115.35+68.53+
331.84= $948.86
Which means after performing those transactions above, he was left with $948.86.
We were informed that Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83.
For him to paint his car now he will spend $264.83, if we add with the previous transactions it sum up to $1213.69 which was actual amount he has at hand. I.e ($264.83+$948.86)=
$1213.69
Therefore, the answer is Yes, but doing so will clear out his account.
Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?
