Answer:
140$
Step-by-step explanation:
so if peilling lent 28$ and then john has 5x as much that means john had 4x as much before getting the 28$ which would mean that john had 112$ dollars so now with that knowledge just add the 28$ to get 140$ or just do 5 x 28 to get 140
Carlos took seven years to pay off his loan by making identical quarterly payments. the loan had a principal of $22,375 and 5.49% interest, compounded quarterly. carlos paid a total of $28,821.67. how much did carlos pay in service charges? round all dollar values to the nearest cent. a. $1,721.31 b. $4,725.36 c. $1,670.98 d. $6,446.67
The Carlos pay in service charges is $1721.3
We have given that the Carlos took seven years to pay off his loan by making identical quarterly payments.
The loan had a principal of $22,375 and 5.49% interest, compounded quarterly.
P=22375 and interest rate =5.49%
Carlos paid a total of $28,821.67.
We have to find how much did Carlos pay in service charges
First we find the monthly payment of the loan
What is the formula of monthly payment?The formula for monthly payment is,
[tex]M=\frac{amount}{discount}[/tex]
Discount factor
[tex]P=\frac{1-(1+i)^{-n}}{i} \\[/tex]
Where, Amount = $22,375 and r=0.0549 and compounded quarterly therefore n=4
[tex]i=r/n=0.0599/4[/tex]
i=0.0137
Time =7 years
[tex]n=4\times 7=28[/tex]
Now put all the values in above formula we get
[tex]P=\frac{1-(1+0.01372)^{-28}}{0.01372}\\\\P=\frac{1-(1+0.1372)^{-28}}{0.01372}\\\\P=\frac{1-0.6827}{0.01372}\\\\P=\frac{0.3172}{0.01372}\\\\P=23.11[/tex]
Monthly payment,
Use the value in the formula of monthly payment
[tex]M=\frac{22375}{23.1177}[/tex]
[tex]M=967.871[/tex]
The payment he has for for 7 years compounded quarterly that is for 28
Therefore the payment,
[tex]Payment= 967.871 \times 28 = $27100.39[/tex]
[tex]Service charges = Total payment - payment[/tex]
[tex]= $28,821.67 - $27100.39[/tex]
[tex]= $1721.27[/tex]
Therefore, Carlos pay in service charges is $1721.3
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Answer:
a
Step-by-step explanation:
just took test on edge
Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. (1 point)
−6x − 10 > 14 + 2x
_______________
-8x>24
x 14
B.) -8x -10 >14
C.)−4x − 10 < 14
D.) −8x − 10 < 14
Answer:
- 8x > 24
Step-by-step explanation:
Given
- 6x - 10 > 14 + 2x ( subtract 2x from both sides )
- 8x - 10 > 14 ( add 14 to both sides )
- 8x > 24 ← required missing step
Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.
x < - 3 ← is the solution
I need help on this question
Answer:
fg and Ab ex a=b +G=fa none of the abovesavannah loves to talk on her cell phone. she has $100 in her budget to pay this months cell phone bill. $20 per month plus $0.10 per minute of usage. what is the maximum number of minutes she can talk this month?
10x+3 and 3+10x *
A: Yes, they are equivalent
B: No, they're not equivalent
Answer:
Yes because of the commutative property
Answer:
A
Step-by-step explanation:
the order does not matter just the numbers and signs
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
Y= 30(1.003)^x
For the given exponential function, the change represents a growth and the percentage rate is 0.3%.
Exponential FunctionThe formula for the exponential function is:
[tex]y(t)=y(0)*(1+R)^t[/tex], where:
y(t)= final value
yo=initial value
R=rate
t= time
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives: [tex]y=30*(1.003)^x[/tex].
When you compare [tex]y=30*(1.003)^x[/tex]with [tex]y(t)=y(0)*(1+R)^t[/tex], it is possible to see:
1. 1+R=1.003, so >1 . Therefore, the change represents growth.
2. 1+R=1.003 , therefore,
1.003=1+R
R=1.003-1
R=0.003
then,
%R=0.003*100=0.3%
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Gianna works in a department store selling clothing. She makes a guaranteed salary of $500 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Gianna make in a week in which she made $975 in sales? How much would Gianna make in a week if she made xx dollars in sales?
Earnings when selling $975:
Earnings when selling $x:
Answer:
$646.25 is her earnings when selling $975.
Her earnings when selling $x is 500 + 0.15x.
Step-by-step explanation:
You know that her guaranteed salary is $500, and she also gets a commission that is 15% of her sales. So, the expression is
500 + 0.15x
Where x is total sales. When you are given $975 as her total sales, plug it in for x:
500 + 0.15(975)
500 + 146.25
$646.25 is her earnings when selling $975.
Her earnings when selling $x is 500 + 0.15x.
49 7 because (-7) (-7) = -49
Answer:
nope ummm a negative number times another negative is positive. whats your question tho?
Finally, it's the weekend! While out with friends, you return a pair of shoes and get $52.95 then you and your 2 friends go out for tacos, and you pay $35.86 for everyone's meals. How much money do you have in your account now?
A bacteria starts with 500 cultures and grows exponentially. The number of bacteria at time t, where t is time in hours, is given by the function g (t)=500•2^2t.
The bacteria multiplies by ____________ every hour.
Answer:
a factor of 4
Step-by-step explanation:
The equation is
[tex]500 (2) {2}^{t} [/tex]
Which can be simplified to
[tex]500 (4) {}^{t} [/tex]
Since 4 is the base, the constant factor is 4.
consider the following two linear equations -2x+4y=4 "2x+8y=8" solve for the point of intersection
[tex] - 2x + 4y = 4[/tex]
[tex]2x + 8y = 8[/tex]
Add the systems together:[tex]2x - 2x + 4y + 8y = 4 + 8[/tex]
[tex]12y = 12[/tex]
[tex]y = 1[/tex]
Substitute y=1 in any equation:[tex]2x + 8(1) = 8[/tex]
[tex]2x + 8 \: = 8[/tex]
[tex]2x = 0[/tex]
[tex]x = 0[/tex]
Define point A as the intersection between the two lines:[tex]a(0. \: .1)[/tex]
How far is the
crab from the
sea level?
very far, but it can come to beaches as well
True or false: The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset.
Answer:
False
Step-by-step explanation:
You calculate range by first putting all the numbers in order. Then subtract the lowest number from the highest.
What the question is thats how to calculate the median.
Have a wonderful day!
From the definition of the range, we understood that the given statement is false.
The given statement is "The range is calculated by adding the highest and lowest scores in a data set and then dividing by the number of scores in the dataset".
We need to state whether the given statement is true or false.
What is the range?The range formula is mostly used in statistics to determine the range given in a particular data set. The formula helps in determining the centre of the set by finding the difference between the lowest and the highest number. In distribution, the large range means higher variability whereas the small range means low variability. The range formula includes the other aspects of statistics such as mean, median, and mode. Hence, the formula to calculate the range is:
R = Highest Value (H) - Lowest Value (L).
Therefore, from the definition of the range, we understood that the given statement is false.
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#SPJ2
someone please help me, I will give brainliest
find the indicated side of the triangle
Answer:
28√2
Step-by-step explanation: i promise its the answer.
Answer:
28
Step-by-step explanation:
Its the top part for the number
Find the 84th term of the arithmetic sequence 18, 31, 44,. 18,31,44,
the answer is 1097 because I calculated every single thing.
4x + 3=10
can someone please help solve for x
Answer:
x = 7/4
Step-by-step explanation:
4x + 3 = 10
4x = 10 - 3
4x = 7
x = 7 ÷ 4
x = 7/4
hope that helps...
Hello there! I am EnjoyingLife, and I hope you find my answer helpful :)
The first step is to subtract 3 from both sides (remember the Golden Rule of Algebra: Whatever we do to one side, we do to the other)
[tex]\tt{4x+3-3=10-3}[/tex]
[tex]\tt{4x=10-3}[/tex]
[tex]\tt{4x=7}[/tex]
Divide both sides by 4 in order to isolate x:
[tex]\tt{x=\frac{7}{4}[/tex]
Hope it helps!
Have an amazing day!
Good luck!
[tex]\tt{EnjoyingLife}[/tex]
John runs 18 miles in 4 hours. How many miles can John run per hour?
Answer:
4.5 miles per hour
Step-by-step explanation:
you start with 18 = 4x
divide both sides by 4
and you get x = 4.5
Eric made $289 for 17 hours of work.
At the same rate, how many hours would he have to work to make $ 119?
Answer:
7 hours
Step-by-step explanation:
You would divide 289 by 17. You get 17. Then you would divide 119 by 17 and you get 7
Answer:
7 Hours of work to earn $119
Step-by-step explanation:
You would divide $289 by 17 hours to find your hourly wage. You would find the hourly wage to be $17 an hour. Then you would take $119 and divide it by $17, and you'll find the number 7, this is your hours of work you have to work to earn $119.
Write an equation in slope intercept form that passes through the point (-4,2) and is perpendicular to y=2x+2.
Answer:
Step-by-step explanation
Perpendicular lines have slopes that are negative reciprocals of one another.
so, in this case, the given slope is 2.
The negative reciprocal of that would be -1/2.
so far, our equation looks like: y=-1/2x+b
now, take the point given to us, (-4,2) and plug it into the y and x values.
2= -1/2(-4) +b
2= b+2
b=0
Our y intercept is zero, so our final answer will be:
[tex]y=-\frac{1}{2} x[/tex]
Admission to a football game was $1 for students and $2 for adults. There were 80 more student tickets sold than adult tickets. If the total money collected was $980, how many of each type of ticket were sold?
Answer:
225 adult tickets 530 student tickets
PLEASE HELP!!!
A student decreases the temperature of a 397 cm3 balloon from 515 K to
220 K.
Assuming constant pressure, what should the new volume of the balloon be?
Round your answer to one decimal place.
Answer:
P V = N R T ideal gas equation
V2 / V1 = T2 / T1 dividing equations
V2 = 397 cm^3 * (220 / 515) = 170 cm^3
Divide.
5/6÷ (−2/3)
−5/4
−5/9
5/9
5/4
5/6÷(-2/3) is -1 1/4. Decimal form would be -1.25
1. Find the difference.
982.2 - 95.32
Answer: 886.88
Explanation: 982.2-95.32=886.88 you take one from the hundreds place and add it to the tens, then you take from the tens place then add it to the ones. Then you take the ones place and add one to the tenths place
Heidi wants to buy a bike.She has already saved $57 and plans to save $12 per week.Consider the following information: y=12x+57 x= the number of weeks y= the total money saved .Which of the following statements is TRUE
Answer:
It will increase by 12 every week, 57 is just what she already had, or in slope-intercept form, 57 is b
Step-by-step explanation:
I need help with this
Answer:
Step-by-step explanation:
1- angle JZF
supplementary angle or straight angle =180 degree
HZJ+JZF=HZF straight angle
2- JZA
complementary angle or right angle =90 degree
HZJ+JZA=HZA ( right angle)
if angle HZJ=38 degrees
HZJ+FZJ=180
FZJ=180-38
FZJ=142 degreesHZG+HZJ=180
HZG=180-38=142 degrees ( which is vertical angle to FZJ and equal to it)
HZG=142 degrees
AZJ+HZJ=90 degrees
AZJ=90-38
AZJ=52 degrees
Monica has $20. she needs to buy a gallon of milk that costs $2.50. she also wants to buy yogurt, which costs $1.20 a cup. which inequality can you use to find the number of cups of yogurt monica can buy? 1.20x 2.5 greater-than-or-equal-to 20 1.20x 2.5 less-than-or-equal-to 20 1.20x 2.5 < 20 1.20x 2.5 > 20
The inequality which is used to find the number of cups of yogurt Monica can buy is,
[tex]1.20x+2.5\leq20[/tex]
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
Monica needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Let suppose the number of cups of yogurt bought by Monica is x.
As she has only $20. Thus, the inequality expression which can be used for this condition is,
[tex]1.20x+2.5\leq20[/tex]
Solve the above equation and find the value of x,
[tex]1.20x\leq20-2.5\\1.20x\leq17.5[/tex]
Divide both side with 1.20,
[tex]x\leq\dfrac{17.5}{1.20}\\x\leq14.58\overline3[/tex]
Hence, the number of cups she can Monica is 14.
Thus, the inequality which is used to find the number of cups of yogurt Monica can buy is,
[tex]1.20x+2.5\leq20[/tex]
Learn more about the inequality equation here:
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Answer:
b
Step-by-step explanation:
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
[tex](x + 5)(a + 3b) \\ \\ = a(x + 5) + 3b(x + 5) \\ \\ = ax + 5a + 3bx + 15b[/tex]
# Jerry Don is here#
Given line m is parallel to line n. What theorem or postulate justifies the statement? ∠1 ≅ ∠4 Corresponding angles postulate Alternate interior angle theorem Linear Pair postulate Vertica
Answer:
corresponding angles postulate
Step-by-step explanation:
just took the test ;)
Answer: Corresponding angles postulate
can some one help
pleassse
Answer:
For the first one, it is
1. C: 3
2.B, 7
3. D, 2
4. A, 0.5
Step-by-step explanation:
HELPPPP
find value of x and y