Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the information given,
We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:
[tex]PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}][/tex]
where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).
PMT.
[tex]= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1][/tex]
= $338.48
To pay off the balance in 9 months, Sarah needs to increase her monthly payment.
Let's call this additional payment x.
Then, we have:
[tex]9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\[/tex]
Solving for x, we get:
x = $1125.77
Therefore,
Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.
Learn more about expressions here:
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50% original price with discount 15% what price now
Answer:
$42.50
Step-by-step explanation:
If you buy an item at $50 with 15% discount, you will pay
$50 - $7.50 = $42.50
Can some one help me with all of these if not can you help me with 3-4
Help me please 10 points no links or I report
Answer:
B. 5
Hope it helps!
Step-by-step explanation:
It lists green 5 times.
Two angles are supplementary. One angle is 25°. What is the measure of the other angle?
Answer:
The other angle is 155°.
Step-by-step explanation:
Supplementary angles are two angles that have a sum of 180°.
I found my answer my subtracting 25 from 180 (180-25) and my difference was 155.
And, 155 + 25 = 180°.
Therefore, the other angle is 155°.
Which statements about opposites are true?
Select each correct answer.
The opposite of zero is zero.
A number and its opposite are located the same distance from zero on a number line.
The product of a number and its opposite is always 1.
The opposite of a negative number is always a positive number.
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The "opposite" of a number is that number with its sign changed.
__
The opposite of zero is zero.A number and its opposite are located the same distance from zero on a number line.The opposite of a negative number is always a positive number.Answer:
The "opposite" of a number is that number with its sign changed.
Mr. Dieter wants to tile the family room in his basement. He has selected a pattern of square tiles that measure 9 inches by 9 inches each. The shape of the floor to be tiled is shown below. a. What is the area of the family room in square feet? b. How many of the 9 inch by 9 inch tiles will it take to cover the floor? (NOTE: You will need to convert the area in Part a from square feet to square inches.) c. If the tile is sold only in boxes of 12 tiles per box, how many boxes will Mr. Dieter have to buy to tile the family room?
Answer:
146 ft²
21.6 tiles
1.8 boxes
Step-by-step explanation:
Please find attached an image of the family room used in answering this question
the family room has the following shapes : 2 triangles and one rectangle
the area of the family room can be determined by calculating the area of each of the shape and adding the 3 areas together
area of a rectangle = length x breadth
16 x 7 = 112 ft²
Area of a triangle = 1/2 x base x height
Area of the smaller triangle = (1/2) x 4 x 3 = 6 ft²
Area of the bigger triangle = (1/2) x 8 x 7 = 28 ft²
Sum of the areas = 112 + 6 + 28 = 146 ft²
b.
1. First convert the area of the room to inches
1 ft = 12 in
146 x 12 = 1752 in²
2. the next step is to determine the area of the tile
area of a square = length²
9² = 81 in²
3. Divide the area of the room by the area of the tile
1752 / 81 = 21.6 tiles
c. total number of boxes that would be bought = 21.6 /12 = 1.8 boxes
What is the solution to the system of equations graphed below???
Answer:
The solution is (-2,-2)
Step-by-step explanation:
This is the point where the two graphs intersect.
How many solutions does the system have? 2x+3y=-6 3x-4y=-12. A) exactly one solution b) no solution c) infinity many solutions
Answer:
a.
Step-by-step explanation:
by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17
PLEASE HURRY: On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% of
the length it was on Monday.
Which of the following expressions could represent how many centimeters long Florencia's hair was after the
haircut?
Chose 2 answers:
h(1 - 0.75)
(1 - 75/100)h
3/4h
0.75h
1/4h
Answer:
It seems that you are trying to find the length of hair of Florencia on Tuesday.
Given that length of the hair of Florencia on Monday = h centimeters
On Tuesday, she got hair cut.
So new length of the hair of Florencia on Tuesday = 75% of Monday value
= 75% of (h)
= 0.75* (h)
= 0.75h
Hence final answer is the length of the hair of Florencia on Tuesday is ( 0.75h ) centimeters.
Answer:
3/4h and 0.75h
Step-by-step explanation:
khan
what is the value of x??
−3(x+9)=33
Answer:
x= −20
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(x+9)=33
Step 1: Simplify both sides of the equation.
−3(x+9)=33
(−3)(x)+(−3)(9)=33(Distribute)
−3x+−27=33
−3x−27=33
Step 2: Add 27 to both sides.
−3x−27+27=33+27
−3x=60
Step 3: Divide both sides by -3.
−3x −3 = 60 −3 x=−20
Answer:
x=−20
Hope this helps! :)
Answer:
x=-20
Step-by-step explanation:
−3(x+9)=33
Divide both sides by -3
-3(x+9)/-3=33/-3
simplify;
-3(x+9)/-3
Divide the numbers:3/3=1
=x+9
Simplify 33/-3
=-33/3
Divide the numbers 33/3
=-11
x+9=-11
Subtract 9 from both sides
x+9-9=-11-9
Simplify;
x=-20
Helped by none other than the ONE and ONLY #QUEEN aka #DRIPPQUEENMO!
What is the the value of x. Pleaseeeee help I’ll mark you brainlist
Answer:
11.75
Step-by-step explanation:
All angles of a right triangle equal 180°.
So you have to do a substitution method to find the value of x.
Which leaves us with: angle 'A' = 5 × 11.75, angle 'B' = ((3 × 11.75) -4), and angle 'C' = 90. If you add all of them together it is equivalent to 180°.
∴ x = 11.75
what is 4(11h +3g)?????
Answer:
[tex]12g+44h[/tex]
Step-by-step explanation:
Step 1: Rearrange terms
[tex]4(11h+3g)\to4(3g+11h)[/tex]
Step 2: Distribute
[tex]4(3g+11h)\to12g+44h[/tex]
Answer:
44h+12g
Step-by-step explanation:
Okay, so, this a standard algebraic expanding problem, so:
We take our 4(11h + 3g)
because we have parenthesis, we have to distribute the 4:
4 x 11h + 4 x 3g = 44h + 12g
So, 4(11h + 3g) expanded is 44h + 12g
hope this helps:)
. Your family ate 6 out of 8 pieces of a pizza. Tell
how to express the amount they ate and the
amount leftover as two fractions. Be sure to
write the fractions in simplest form.
Answer:
[tex] \frac{6}{8} \\ \\ \\ \frac{2}{8} [/tex]
Help help help help
Number 1 and 2 in the next q
Answer:
either 81 or 162
Step-by-step explanation:
I got 81 by 27×12
162=27×12×2
List the 3 things PLEASE ASAP
Answer:
it can be the altitude
median of ac
and the bisector of b
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
The answer is Door you can choose C because is likely to be the answer
Kieth has landscaping bricks that are 0.75 feet long. Kieth puts 19 bricks end to end along a sidewalk. What is the total length of all thee red bricks he uses. Enter your answer in the box
Answer: 14.25 ft
Step-by-step explanation:
Assuming all the bricks used are red:
Keith puts 19 bricks end to end along a sidewalk and each one of those bricks is 0.75 ft long.
When put end to end therefore, the total length will be that length multiplied by the number of bricks laid:
Total length = Number of bricks laid * Length of each brick
= 19 * 0.75
= 14.25 ft
What is ?
A.20º
B.70º
C.90º
D.180º
Answer:
i think it is 90
Step-by-step explanation:
remember the line is srait
write the following quotient in scientific notation:
Answer:
0.7
Step-by-step explanation:
What is the value of x?
Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.
Equation: 4x2+8x+7=4
Solution: Answer
and
Answer:
solution given:
: 4x2+8x+7=4
4x²+8x+7-4=0
4x³+8x+3=0
4x²+6x+2x+3=0
2x(2x+3)+1(2x+3)=0
(2x+3)(2x+1)=0
either
x=-3/2
or
x=-1/2
Winston earns $140.00 by selling 56 hotdogs at a concession stand at school Using the same rate for the cost of one hotdog, how many more hotdogs would Winston need to sell to earn a total of $175.00?
Answer:
175/2.5=70
Step-by-step explanation:
3 Simplity the following rotic's = 4:16
Answer:
1:4
Step-by-step explanation:
simply divided by 4 :)
The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.
(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2
−
8
x
+
16
)
+
(
2
y
2
−
12
y
+
36
)
=
−
16
+
36
(x−4)2+(y−9)2=5
(
x
−
4
)
2
+
(
y
−
9
)
2
=
5
(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2
−
4
x
+
4
)
+
(
y
2
−
6
y
+
9
)
=
−
8
+
13
x2+y2−4x−6y=−16
x
2
+
y
2
−
4
x
−
6
y
=
−
16
(x−2)2+(y−3)2=5
what do i choose? because all i see is a lot of numbers and words lol
What is 6/8+ 4/2-3/6?
Answer:
the answer is 2.25
Step-by-step explanation:
Answer:
2.25
Step-by-step explanation:
How to Divide $120in the ratio 3:5
120 ÷ ( 3 + 5 ) = 120 ÷ 8 = 15
15 × 3 = 45
15 × 5 = 75
_________________________________
Answer:
15:75
Step-by-step explanation:
120 = 3x plus 5x
120 = 8x
120/8 = x
x = 15
3*15 = 45 and 5*15 = 75
Suppose a city with population of 400,000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in years.
The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.
Using a t value of 10 years
Answer:
651558
Step-by-step explanation:
Given that:
Initial population, P0= 400,000
Growth rate, r = 5%
Using the relation :
P(t) = P0 * (1 + r)^t
t = number of years = 10
P(10) = 400000 * (1 + 0.05)^10
P(10) = 400000 * (1.05)^10
P(10) = 400000 * 1.628894626777
P(10) = 651557.8507
= 651558 nearest whole number.
Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.
What is the median for the data set below?
A plumbing service costs $32.50 per hour of work. Let x represent the amount of time that a job takes and let y represent the total cost.
- Is it continuous or discrete?
Answer:
This would be discrete
Hope this helps
David's earnings recently changed from $5500 to $6325. By what percent did the earnings change?
Answer: In percentage, the answer is 115%
Step-by-step explanation: if you want to find the rise, just simply divide 5500 from 6325, or 6325/5500. You will get 1.15 but converted to percentage, that is 115%