Answer:
1. $56,000
2. $3,695
3. $1,644.48
Step-by-step explanation:
1. Equity = valuation - mortgage
= $250,000 - $180,000
= $70,000
80% = 80/100 = 0.8
Therefore, 80% of the equity = 0.8 × $70,000
= $56,000
2. Total charges = jewelry charge + electronics charge
= $2,450 + $1,245
= $3,695
3.
First credit card:
Total payment = two years × monthly payments
= 2 × 12 × $252.04
= $6,048.96
Interest = total payment - balance
= $6,048.96 - $5,000
= $1,048.96
Second credit card:
Total payment = two years × monthly payments
= 2 × 12 × $381.72
= $9,161.28
Interest = total payment - balance
= $9,161.28 - $7,500
= $1,661.28
Home equity loan:
Total payment = two years × monthly payments
= 2 × 12 × $565.24
= $13,565.76
Interest = total payment - balance
= $13,565.76 - $12,500
= $1,065.76
Money saved = (total of interest from credit cards) - home equity loan interest
= ($1,048.96 + $1,661.28) - $1,065.76
= $1,644.48
The number of students in each class is shown on the line plot.
Find the median number of students.
Answer:
Your answer is 24.
Step-by-step explanation:
The data set is 22,23,23,23,24,24,25,26,26,26,28
The median of this set is 24
The mean is 24.54
The mode is 23,26
The range is 6
help me rn pleasee i dont understand
Answer:
Step-by-step explanation:
if 1l = 100cl
1l×1/100cl×4=1l /400cl
Describe the term to term rule in this sequence:
10.8.6.4.2...
Midpoint problem. Given two endpoints P1 (8, -4) and P2 (-3, 9), find the midpoint. Enter just the x-coordinate in this problem.
Given parameters:
The coordinates are:
P1 (8, -4) and P2 (-3, 9)
Unknown:
The midpoint of the endpoints = ?
Solution:
x₁ = 8
y₁ = -4
x₂ = -3
y₂ = 9
midpoints; x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2} ,[/tex] [tex]\frac{y_{1} + y_{2} }{2}[/tex]
= [tex]\frac{8 +(-3)}{2}[/tex] , [tex]\frac{-4 + 9}{2}[/tex]
= [tex]\frac{5}{2}[/tex] , [tex]\frac{5}{2}[/tex]
The coordinate of the x-axis is [tex]\frac{5}{2}[/tex]
If 14x + 5 = 12, what is the value of x?
Step-by-step explanation:
14x + 5 = 12
14x = 12 - 5
14x = 7
x = 7/14
x = 1/2
Hope it helps you!!(C) 2a+a²b-2b-ab. send me fast
Answer:
what do you want me to do with that
factor?
Solve the quadratic equation in standard form: f(x)=3x^2-6x-4
Answer: Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
1
,
−
1
)
Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
1
,
−
1
)
Step-by-step explanation:
Write each number in scientific notation. Show your work/explain.
A. 14,700
B. 0.00083
C. 760,000,000
D. 0.038
E. 0.38
F. 3.8
G. 3,800,000,000,000
H. 0.0000000009
Answer: [tex]1.47*10^4[/tex]
[tex]8.3*10^{-4}[/tex]
[tex]7.6*10^8[/tex]
[tex]3.8*10^{-2}[/tex]
[tex]3.8*10^{-1}[/tex]
[tex]3.8*10^0[/tex]
[tex]3.8*10^{12}[/tex]
[tex]9.0*10^{-10}[/tex]
Step-by-step explanation:
Scientific notation is a way of expressing numbers that are too large or too small.
To figure out the power of 10, think "how many places do I move the decimal point?"
1. When the number is 10 or greater, the decimal point has to move to the left, and the power of 10 is positive.
2. When the number is smaller than 1, the decimal point has to move to the right, so the power of 10 is negative.
David bought a poster for an art project. The poster is 2. 7 feet wide and 3. 9 feet tall. What is the area of the poster? Enter your answer as a decimal in the box. Ft2.
Answer:
10.53 ft.²
Step-by-step explanation:
Area of a rectangle: length x width
length: 3.9
width: 2.7
3.9 x 2.7 = 10.53
A tennis racket and a tennis ball cost $2.10. The tennis racket costs two dollars more than the tennis ball.
How much does the tennis ball cost?
Sn: I think it’s .10 but I wanna double check.
Answer:
4 dollars
Step-by-step explanation:
Answer:
4.10$
Step-by-step explanation:
c Sections
Help Resources
Find the vertex and focus of the
parabola:
y2 +12y - 4x + 48 = 0
Vertex = ([?], [?])
Focus = ([?], [?])
Enter
Suppose you send about 12 text messages a day, and your older sister sends more text messages than you do. Together, you send a total of about 26 messages per day. About how many text messages does she send a day? Write an equation and solve for the unknown value, show your work
Answer:
she sends 14 texts
Step-by-step explanation:
12 + x = 26
------------------
-12 -12
x = 26 - 12
x = 14
Please help me which shape is it.?
Answer:
Equilateral
Step-by-step explanation:
It is Equilateral because all sides have the same number of lines(1) telling us that all sides are the same :)
Have a wonderful day!!
Please rate and mark brainliest!!
Please help I will give brainliest.
Answer: B. (2,0) and ([tex]-\frac{1}{2}[/tex], 0)
Step-by-step explanation: Try drawing a graph of it to see where the curve intersects the x-axis, or simplify it to [tex]x^2-3x-2=0[/tex], and solve for the x values.
what is the area of y°
Answer: Below
Step-by-step explanation:
First, we start with x. We see the x is opposite of 30, so x is 30.
x + y + y = 180, since they lay on a straight angle.
180 - 30 = 150
since we still have 2 y's left:
2y = 150
y = 75
Mary has been hired as a receptionist. She is paid a flat rate of $150 each week and earns an additional
$12.50 for every hour that she works. If her goal is to make $575 in one week, how many hours must Mary
work?
Answer:
34
Step-by-step explanation:
$575-$150= $425
So $425 is how much she needs bc she already gets $150 each week so subtract it from the $575. then do
$425/$12.50=(hours)34) so she needs to work 34 hours this week to get 575$
Rena is building a 1 : 180 scale model of a real castle. Her model has a rectangular base that is 3 feet wide and 4 feet long.
The width of the actual castle is ___feet.
Pleeeeassseee someone help me with this. I'm really struggling, and I'm in the middle of a test. Not to mention I'm being homeschooled, so that doesn't help at all. Any please if you can help, do it.
Which number line shows the solution to the inequality
-3x - 5 < -2?
Answer:
xStep-by-step explanation:
-3x-5<-2-3x<-2+5 -3x<3 divide by -3 both sidex<-1 answer.Five friends ordered pizza for dinner. The pizza cost $30.There was also tax of $5.75. How much would each person pay if they split the total cost equally?
Answer:
They would each pay $7.15
please answer fast it will be very helpfull please it is a humble requst A samosa costs Rs 5 and a cold drink costs Rs 10. You take a samosa and cold drink every day for 6 days. The total money spent in 6 days is Rs
6x5+10
6x10+5
10x5+6
6x(5+10)
Explain how to solve the equation. 49= x/7
Part 1
Select the correct choice below and fill in the answer box within your choice.
(Type a whole number.)
A . Subtract _from both sides.
B . Multiply both sides by _
C . Add_ to both sides.
D . Divide both sides by _
[tex]49 = \frac{x}{7} [/tex]
Multiply both sides of the equation by 7
[tex]49 \times 7 = \frac{x}{ \cancel7} \times \cancel7[/tex]
[tex]343 = x[/tex]
[tex]x = 343[/tex]
[tex]\green{ \rule{300pt}{3pt}}[/tex]
Option B is the correct choice and the number that comes in the blank is 7...~Find the Area of the trapezoids
Hey there!
A = ½ (a + b) h,
a =8b = 16h =14⇒ A = ½(8+16)14
⇒ A = ½(24)14
⇒ A = (12)(14)
⇒ A = 168
Therefore, Area of trapezoid is 168 sq. un
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=14\\ a=16\\ b=8 \end{cases}\implies \begin{array}{llll} A=\cfrac{14(16+8)}{2}\implies A=\cfrac{14(24)}{2} \\\\\\ A=7(24)\implies A=168 \end{array}[/tex]
Estimate the answer to:
Answer:
a. 3.76b. 13,102.974Step-by-step explanation:
a. (1.7 + 4.2)² = 34.81 = 3.76
2.1³ 9.261
b. (672 - 134)² = 289,444 = 13,102.94
4.7² 22.090
Answer this, please!
Help!!!
Answer:
25
Step-by-step explanation:
complementary angles is when their sum = 90 so
30 + 2x + 10 = 90
2x = 90 - 40
2x = 50
X = 25
Answer:
x = 25
Step-by-step explanation:
1. Due to the fact that Angle F and angle G are complementary, 2x + 10 + 30 = 90.
2. Solve this equation: 2x + 10 + 30 = 90
Add 10 and 30
2x + 10 + 30 = 90
2x + 40 = 90
3. Subtract 40 from 90
2x + 40 = 90
2x = 90 - 40
2x = 50
4. Divide 2 from 50
x = 50/2
x = 25
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Given: a and b are first-quadrant angles, sin a = 5/13 , and cos b = 3/5 , evaluate cos(a + b).
16/65
33/65
56/65
Step-by-step explanation:
please mark me as brainlest
Alejandro started the 10-kilometer race at 8:22 am. He finished the race
at 9:09 am. How long did it take him to run the race?
Answer: 47 minutes
Step-by-step explanation:
First substract 22 from 60 to see how much it took to get till 9 and then add the remaining 9 minutes
Answer:
47 min
Step-by-step explanation:
22 from 8:22 + 47 min = 8:69
69 simplified = 1 hr 9 mins
9:09
pls mark brainliest if I'm correct
Evaluate the following logarithms. log12144 = log151 = log3 ( 1 81 ) = log 0.00001 =
Answer:
Answer(s): (2,0,-4,-5)
log12 144 = 2
log15 1 = 0
log3 ( 1/ 81 ) = -4
log 0.00001 = -5
The values of the expression are,
1. 2
2. 0
3. -4
4. -5
What is Logarithm?How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).
For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).
Given that;
We have to use the property as;
aᵇ = x then
b = logₐx
So, we get;
log₁₂ 144 = a
12ᵃ = 144
12ᵃ = 12²
On comparing the base
= 2
Now, second is,
log₁₅ 1 = a
15ᵃ = 1
a = 0
Now, log₃ (1/81)
3ᵃ = 1/81
3ᵃ = 3⁻⁴
a = - 4
And, log 0.00001
= log (10)⁻⁵
= -5 log 10
= -5
Learn more about Logarithm here:
brainly.com/question/30085872
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Belvedere has a swimming pool that needs to be drained. His pool holds 10,567.2 gallons of water and will need to drain completely in 11.8 hours. What is the change in the water level per hour for Belvedere's swimming pool? Round your answer to the nearest hundredth TIE
Answer:
895.53 gallons per hour
Step-by-step explanation:
rate of change in water level (r) = totals gallons divided by number of hours to drain
r = 10567.2/11.8
r = 895.53 gallons per hour
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear equation with the correct description.
This is the Answer to this question