Answer:
By opting for the second option, Alice would save $ 15,740.00 in total mortgage cost
Step-by-step explanation:
In order to determine the better of the two options available, we need to determine the total cost under each option as follows:
Option 1:
cost of house=$625,000
loan amount=$625,000-(20%*$625,000)=$500,000
loan amount=monthly payment*(1-(1+r)^-n/r
monthly payment is the unknown
r=monthly interest rate=4%/12=0.33333333%
n=number of monthly payments in 30 years=30*12=360
500,000=monthly payment*(1-(1+0.33333333% )^-360/0.33333333%
500,000=monthly payment*(1-0.301795869 )/0.003333333
500,000=monthly payment*0.698204131 /0.003333333
monthly payment=500,000*0.003333333 /0.698204131
monthly payment=$ 2,387.08
total monthly payments=$ 2,387.08*360=$859,348.80
Option 2:
upfront fee=$10,000
loan amount=monthly payment*(1-(1+r)^-n/r
monthly payment is the unknown
r=monthly interest rate=3.75%/12=0.3125%
n=number of monthly payments in 30 years=30*12=360
500,000=monthly payment*(1-(1+0.3125% )^-360/0.3125%
500,000=monthly payment*(1-0.325222459 )/0.003125
500,000=monthly payment*0.674777541 /0.003125
monthly payment=500,000*0.003125 /0.674777541=$2,315.58
Total cost=total monthly payments+upfromt fee
total cost=($2,315.58 *360)+$10,000=$843,608.80
savings by opting for the second option=$859,348.80-$843,608.80
platelets are responsible for
Answer:
The principal function of platelets is to prevent bleeding. Red blood cells are the most numerous blood cell, about 5,000,000 per microliter. Red blood cells make up about 40% of our total blood volume, a measure called the hematocrit
2
Add. Write the expression below in simplest form.
(-3x + 15) + (-3x + 2)
Answer:
-6x+17
Step-by-step explanation:
Combine like terms
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour. His income per job can be modeled using a linear function. The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Answer:
The range of values from one job is between $50 and $650.
Step-by-step explanation:
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.
This means that his earnings in a job can be modeled by the following function:
[tex]y = 30x + 50[/tex]
The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Minimum, he works 0 hours, and earns:
[tex]y(0) = 30(0) + 50 = 50[/tex]
Maximum, he works 20 hours, and earns:
[tex]y(20) = 30(20) + 50 = 650[/tex]
The range of values from one job is between $50 and $650.
Find the IQR of the data set in the dot plot
Dot plot below
.
. .
. . . . . .
0 1 2 3 4 5 6 7
Answer:
5.5 - 1.5 = 4
Brainliest pls
What percentage is 0.00042 ?
Answer:
0.042%
How much is the decimal number 0.00042 written as (converted to) a percent value? Answer: 0.042%
Step-by-step explanation:
hope it helps please give me a heart
Answer:
0.042%
Step-by-step explanation:
0.00042 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 0.00042 * 100 = 0.042% and then you get your answer!
Pls help ASAP !! I’m struggling so hard in math class pls help I need it .
Answer:
b = 27 degrees
Step-by-step explanation:
90 - 63 = 27
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
9514 1404 393
Answer:
a) $8.73
b) $608.73
Step-by-step explanation:
a) The interest charged is ...
I = Prt
where P is the amount borrowed, r is the daily rate, and t is the number of days.
I = $600×0.04848×30 = $8.73 . . . interest
__
b) The amount repaid is the borrowed amount plus interest.
$600 +8.73 = $608.73 . . . repaid
Which methods could you use to calculate the x-coordinate of the midpoint of a horizontal line segment with endpoints at (0,0) and (20,0)
Check all that apply.
A. Count by hand.
B. Divide 20 by 2.
C. Divide 0 by 20.
D. Divide 20 by 0.
Answer:
A. Count by hand.
B. Divide 20 by 2.
Step-by-step explanation:
The midpoint between two points is found by the mean of their coordinates.
Endpoints at (0,0) and (20,0)
So we have x coordinates of 0 and 20. Their mean is:
[tex]\frac{20 - 0}{2} = 10[/tex]
So we can find both counting by hand, or dividing 20 by 2.
Find a. Round your answer to the nearest hundredth
a=9units
Answer:
solution given:
c=40° exterior corresponding angle
In right angled triangle
<c°+B°+90°=180° [Sum of interior angle of a triangle is 180°
B°=180°-40°-90°=50°
Relationship between base and hypotenuse is given by cos angle
Cos c°=base/hypotenuse
Cos40°=a/12
a=Cos40°×12=9.19or 9 units
The student council is ordering T-shirts from a website. The T-shirts cost $9 each and there is a shipping fee of $8 for any
amount ordered. The student council wants to spend exactly $710 on the T-shirts. How many T-shirts, x, they can order?
an
Answer: They can order 78 shirts.
Step-by-step explanation:
9x + 8 = 710
9x = 702
x = 78
**Since the shipping fee is $8 for ANY amount ordered, the price of shipping doesn’t change with the number of shirts — the shipping price is a constant.
Help please
Will give brainlyest
Answer:
Step-by-step explanation:
e = D/(3f^2)
which ratio is equivalent to 5/9 9/45 25/81 27/15 30/54
Answer:
30/54 is the answer
Step-by-step explanation:
5x6=30
9x6=54
Steve and Andy are playing pool. After the break, Andy is solids which is numbers 1 through 7 (the number 8 ball is the last one to hit into a pocket). How many different combinations can he have for sinking his solids into the six pockets?
Steve ends up winning the game as he hit in all his striped pool balls (9 through 15) and the 8 ball. How many different combinations did he have in his victory?
______________________________
Andy's Combinations:= 7 Balls × 6 Pockets= 42 Different CombinationsSteve's Combinations:= 8 Balls × 6 Pockets= 48 Different Combinations______________________________
if x ≠ 0 which is k • 1/x
Answer:
k/x
Step-by-step explanation:
k*1/x=k/x
Need today right nowvery easy
(x + 2y – 2z) – (2x – 5y – 6z) is equivalent to...?
The Expression (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
(x + 2y – 2z) – (2x – 5y – 6z)
so, (x + 2y – 2z) – 2x + 5y + 6z
= ( x- 2x) + (2y+ y)+ ( 6z- z)
= -x + 3y + 5z
Hence, (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ6
HELPPPPPP HELPPPPP PLZZZZZZZZZZZZZZZZ
Answer:
Its A. Just had this question
Step-by-step explanation:
Which of the following values for x is true for 4x > 10
Answer:
Anything 3 or more
Step-by-step explanation:
3 x 4 = 12.
12 > 10.
If you follow through with the next multiple of 4, 4, we get 16.
16 > 10.
This is true for any other multiple of 4, making any value 3 or me greater than 10.
Four runners start at the same point; Lin, Elena, Diego, Andre. For each runner write a multiplication equation that describes their journey.
Lin runs for 29 seconds at 7.2 meters per second. What is her finish point?
7.2*?=29
29*7.2=?
?*29=7.2
Elena runs for 26 seconds and finishes at 240 meters. What is her velocity?
240*26=?
26*?=240
?*240=26
Diego runs for 33 seconds at -6.1 meters per second. What is his finish point?
-6.1 • ? = 33
33*?=-6.1
-6.1*33=?
Andre runs for 38 seconds and finishes at -295 meters. What is his velocity?
-295*38=?
38*?==-295
?*-295=38
Answer:
See the answers in the explanation
Step-by-step explanation:
Lin runs for 29 seconds at 7.2 meters per second. What is her finish point?
time= 29 seconds
speed= 7.2 m/s
distance= speed*time
distance= 7.2*29
distance=208.8 m
Elena runs for 26 seconds and finishes at 240 meters. What is her velocity?
time= 26 seconds
distance= 240meters
velocity= distance/time
velocity= 240/26
velocity=9.23 m/s
Diego runs for 33 seconds at -6.1 meters per second. What is his finish point?
time= 33 seconds
velocity
distance=velocity*time
distance=33*6.1
distance= 33*6.1
distance=201.3 m
Andre runs for 38 seconds and finishes at -295 meters. What is his velocity?
time= 38 seconds
distance= 295m
velocity= distance/tim
velocity= 295/38
velocity= 7.76m/s
Translate (in terms of x) then solve the algebraic equation: Five times the sum of 6 and some number is 20.
Answer:
x=-2
Step-by-step explanation:
5 times (6 plus x) = 20
6 plus x = 4
x = 4 - 6
x = -2
Answer:
-2
Step-by-step explanation:
Let the number be x
5 × (6 + x) = 20
6 + x = 20/5
6 + x = 4
x = 4 - 6
x = -2
a.
Q46. The average of five shirts price is Rs. 750, if the price of three shirts is
Rs. 2400, then what will be the price of other two shirts?
Answer:
Rs 1350
Step-by-step explanation:
An average of 5 shirts is Rs 750
The total amount of the 5 shirts is 750×5
= 3,750
The price of 3 shirts is Rs 2400
Therefore the price of the other two shirts can be calculated as follows
= 3750-2400
= 1350
Hence the price of the other two shirts is Rs 1350
The nth term of 50, 80, 110 is...
Answer:
[tex]a_n=50+(n-1)30[/tex]
Step-by-step explanation:
Given series is,
50,80,110....
First term, a = 50
Common difference, d = 80-50 = 30
We need to find the nth term of the given sequence.
The nth term of an AP is given by :
[tex]a_n=a+(n-1)d[/tex]
Put a = 50 and d = 30 in the above formula
[tex]a_n=50+(n-1)30[/tex]
Hence, the nth term of the sequence is [tex]a_n=50+(n-1)30[/tex].
y=3x-7 make x the subject
Answer: x= y+7 / all over 3
Step-by-step explanation:
y= 3x-7
+7. +7
y+7 =3x
÷3. ÷3
y+7/ 3 = x
If $3,000 is invested at an interest rate of 1.8%, compounded hourly for two years, what is the ending balance?
Answer:
$3109.97.
Step-by-step explanation:
Number of hours in a year = 365*24 = 8760 hours
Balance = 3000(1 + 0.018/8760)^(2*8760)
= 3109.967.
Determine the value of y, if x is –12.
y= |x| - 5
pls quickly
Answer:
y = -17
Step-by-step explanation:
-12 - 5 = -17
Please answer this correctly without making mistakes
Divide. Write your answer using the smallest numbers possible.
33 pounds 12 ounces divided by 30
= pounds ounces
Answer:
1 pound 3 ounces
Step-by-step explanation:
Lemme know if it's correct
Cindy, Mary, and Reese will share the cost to rent a vacation home for a week.
Cindy's share represents 40% of the cost.
Mary's share represents 35% of the cost.
Reese's share represents the remainder of the cost.
The cost to rent a vacation home for a week is $850. How much will Reese pay to rent this vacation home for a week?
A) $200.00
B) $297.50
C) $212.50
D) $637.50
If you can plz show your work thank you and this is a 7th grade question have fun
Answer: $212.50
Step-by-step explanation:
Cindy's share = 40% of the cost.
Mary's share = 35% of the cost.
Reese's share = 100% - (40% + 35%) = 100% - 75% = 25%
If the cost to rent a vacation home for a week is $850, the amount that Reese will pay to rent this vacation home for a week will be:
= 25% × $850
= 0.25 × $850.
= $212.50
Jasmine invests 2658 in a retirement account for with a fixed annual interest rate of 9% compounded continuously what will the account balayage be after 15 years
Answer:
$10,253.04
Step-by-step explanation:
A store buys a shirt from the vendor for $15. The store makes a 55% profit when the shirt is sold to a customer. What is the retail price of the shirt?
Answer:
$23.25
Step-by-step explanation:
Step one:
given data
A store buys a shirt from the vendor for $15
The store makes a 55% profit
Required
The sale price of the shirt
Step two:
Percent profit= sale-cost price/cost price *100
subtitute
55= sale-15/15 *100
0.55= sale-15/15
cross multiply
sale-15= 0.55*15
sale-15=8.25
sale= 8.25+15
sale=$23.25
9. AC ATis an isosceles triangle with base angles Cand Teach represented by (3 x +11)
degrees, while angle A is represented by (9 x+8) degrees. Find the measure of angle
C.
Answer:
41°
Step-by-step explanation:
A triangle is a shape with three angles and three sides. There are different types of triangles such as equilateral triangle, scalene triangle, isosceles triangle, right angled triangle and so on.
An isosceles triangle is a triangle in which two sides and two angles are equal to each other.
In triangle CAT, ∠C = ∠T (base angles of an isosceles triangle are equal):
∠A + ∠C + ∠T = 180° (sum of angles in a triangle).
Hence substituting gives::
(9x + 8) + (3x + 11) + (3x + 11) = 180
9x + 3x + 3x + 8 + 11 + 11 = 180
15x + 30 = 180
15x = 180 - 30
15x = 150
x = 150 / 15
x = 10°
Hence ∠A = 9x + 8 = 9(10) + 8 = 98°, ∠C = ∠T = 3x + 11 = 3(10) + 11 = 30 + 11 = 41°
