Answer:
A. $37,395
Step-by-step explanation:
correct on edge! hope it helps :)
The savings from the difference between the 30–year loan at 11%, which
is 6% gives an interest when the mortgage is paid of approximately;
a. $37,395.18
How can the amount interest accumulated be calculated?
The amount paid is given as follows;
[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Which gives;
[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]
Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8
At the lower interest rate the person could have received (11 - 6 = 5)%, we have;
[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]
Payment in 10 years = $805.23 × 120 ≈ $92,227.6
Savings = $171,418.8 - $96,627.6 = $74,791.2
The time duration the savings is invested in the account = 30 years - 10 years = 20 years
Which gives;
Simple interest after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6
Therefore;
The option that best gives the amount of money that would have accumulated in interest is the option a.
a. $37,395.18
Learn more about compound and simple interest here:
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In a survey of 100 people, 10 preferred onions on their hot dogs. What percent preferred onions?
Which is a better deal on a $10 item:
50% off or 10% off and then another 40% off? Explain your answer.
a pack of 6 cans cost $12 how much will 15 cans of coffee cost
Answer:
30$ for 15 cans of coffee.
Step-by-step explanation:
$12 for 6 cans of coffee
12 divided by 6 = 2
$2 per can of coffee
15 cans of coffee times $2 = 30$
Hope this helps
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?
Answer:
4
Step-by-step explanation:
combine like terms 15r-6r=9
9=36
divide both sides by 9
=4
Solve the system of functions below:
-9x = (-2x^2)-4-y
x = (-y+6)/3
Point Form:
(1,3) (5,-9)
Equation Form:
x=1 y=3
x=5 y=-9
solve for the first variable in one of the equations, then substitute the result into the other equation.
Is it - or + 60 plz help me
Write the expression 17 4/3 using radicals :)
The expression can be expressed as radicals in terms of [tex]\mathbf{\sqrt[3]{17^4} }[/tex]
A radical expression is an expression that can be written in square root form. It is an opposite form of an exponent and its power determines the root in which it is been evaluated.
Here, we are given:
[tex]\mathbf{\implies 17^{^\dfrac{4}{3}}}[/tex]
The denominator in the power will be the root of the expression given, since it is 3 it will be the cube root raised to the power of 4.
[tex]\mathbf{\implies \sqrt[3]{17^4} }[/tex]
Learn more about radical expressions here:
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There were 22,180 seats in a stadium. There are 85 sections with an equal number of seats in each and the remaining seats are floor level. How many seats are on the floor?
Answer:
Step-by-step explanation:
There are multiple solutions.
If each section has n seats, the floor has 22,180-85n seats.
22,180/85 ≅ 260.9, so each section has at most 260 seats.
If each section has 260 seats, the floor has 22,180-85×260 = 80.
Complete the table for y=1/5x+1 and graph the resulting line
Answer:
x=-5 y=0
x=0 y=1
x=5 y=2
x=10 y=3
The chandlers are moving across the country. Mr.Chandler leaves 3.5 before Mrs. Chandler. If he averages 80 mph and she averages 90 mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?
Answer:
ghehejdskjkdskjdkjfsd
Step-by-step explanation:
Answer:
Step-by-step explanation:
90t=80(t+3.5) expand right side
90t=80t+280 subtract 80t from both sides
10t=280 divide both sides by 10
t=28 hours
Sarah has just received a box of chocolates from a dear friend. Her friend tells her that inside the box there are two kinds of chocolate: milk and dark. There are more milk chocolates than dark chocolates. Subtracting the number of dark chocolates from the number of milk chocolates gives 5 as an answer. The number of milk chocolates is twice that of dark chocolates. How many dark chocolates are there?
Glen needs to select the shortest length nail available to build a small bird house. Of the following for sizes available which one should he select: A) 1 3/5 inches B) 1 5/8 inches C) 1 2/3 inches D) 1 3/4 inches
Answer:
B) 1 7/8
Step-by-step explanation:
1. first, if you have 16/8 then it would be 2, but since it is 15/8 you need to minus 15 and 8
2. 15-8=7, now you only have 7
3. last, since you only have 7 then it is 1 whole and 7 8ths
4. 1 7/8 is your answer.
what is 1'000+686+754
Answer:
2440
Step-by-step explanation:
1,000+686 =
1,686
1686+ 754
= 2440
A recipe for sparkling apple juice calls for 3 quarts of sparkling water and 2 quarts of apple juice. How much sparkling water would you need to mix with 8 quarts of apple juice? (NC.7.RP.1) *
Answer:
Step-by-step explanation:
12
Find the value of x.
х
28
45
x=
[?]
Answer:
x=53
Step-by-step explanation:
One way to solve this problem is by using the Pythagorean Theorem.
This states that the square of one "leg" of the triangle plus the square of the other "leg" of the triangle would equal the square of the hypotenuse, or the longest side of a triangle. Keep in mind that this only works for right triangles, where one angle is exactly 90 degrees.
This formula can be written as: a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
So, for this problem, let a=28, and b=45.
This gives us: 28^2 + 45^2 = x^2
And we can simplify this to: 2809 = x^2
Taking the square root of both sides gives us the answer, that x=53 units.
Hope this helps!
Can isosceles triangles be an equilateral triangle?
Answer:
IT CAN BE
Step-by-step explanation:
BECAUSE ISOSCELES TRIANGLE IS A TRIANGLE WITH 2 SIDES EQUAL....
EQUILATERAL TRIANGLE HAS ALL SIDES AND ANGLES EQUAL, so equilateral triangle also has 2 sides equal
Answer:
no it is not can you look at your coments
If segment AB is 28, then segment AD is___?
Answer:
C. 14
Step-by-step explanation:
The whole side is 28 (AB), so AD must be half of AB. 28/2=14
For this exponential function what is the output value (y) when the input value (c) is 3?
Answer:
y = 40
Step-by-step explanation:
Given, y = 5 * 2^x
If x = 3, y would be:
Substitute the value of x into the given function.
Thus,
y = 5*2³
y = 5*8
y = 40
Turn this improper fraction in mixed numbers.23/7
Answer:
3 2 /7
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
The length of a rectangle is 15 centimeters and the width is 8 centimeters. Which is the perimeter of the rectangle?
An equation is shown.
30
+
100
o
Use the Add Point tool to show
the value of b on the number
line.
Answer:
130
Step-by-step explanation:
add 30 to 100 by removing the zeros in 100 and put 30 next to the 1
your welcome
what is the definition of PEMDAS as it applies to 56(56^4)4+6
Answer:
pemdas
Step-by-step explanation: pemdas means please excuse my dear aunt sally meaning paranthesiss multiplication division addition and subtraction ^^ tell me if you want more definiton
How many bottles are needed to hold 3.5 liters of juice?
System of inequalities
ASAP I ONLY HAVE 15 MINS WILLING TO GIVE 20 POINTS
Answer:
y > x - 4
x > 3
Step-by-step explanation:
The system of inequalities need to represent the overlapped, black area, so you need to write an inequality for each of the two lines shown.
To find out whether you should be using a >, <, ≤, or ≥, identify on the graph first:
The vertical line is shaded to the right of the line. The line is also dashed, so it should be a >.
The sloped line is shaded above the line. The line is also dashed, so it should be a >.
Then, find the slopes of the lines.
Refer to the sloped line as Line 1 and the vertical line as Line 2.
The slope of Line 1 is 1. It's y-intercept (where the line crosses the y-axis) is -4.
So: y = x - 4
Replace the = with >.
y > x - 4
Line 2 is unidentified, so you can see that it's x = 3. Replace the = with >.
x > 3
You can always check by plugging in a point from the overlapped area, like (4, 1).
(4, 1)
y > x - 4
1 > 4 - 4
1 > 0
x > 3
4 > 3
These statements are true.
Is it similar to BAK??
Answer:
No
Step-by-step explanation:
If we add up numbers in one line segment like 15+25 and 10+6 we do not get multiples so the triangle GYK is not similar to BAK
Mark Me As A Brainliest
Answer: I believe it isn’t I used the Pythagorean theorem
:((((((((((((( i need help
Answer:
5d
Step-by-step explanation:
Every member pays 5 dollars. So the number will multiply by 5 everytime a member pays.
A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?
9/2+ 3(4 – 1) – 7 + 23
Step 1: = 9/2+ 3(3) — 7 + 23
Step 2: = 9/2 + 3(3) - 7 + 8
Step 3: =15/2 (3) — 7+8
Step 4: =45/2 - 7+8
Step 5: =31/2 +8
Step 6: =47/2
Answer: step 3 maybe?
Step-by-step explanation:
2.4= -5y + 14.9. Solve for y
Which is Q=200p/L solved for p
Answer:
P = QL/200
Step-by-step explanation:
Help with this one also
Answer:
7(2c + 15) = 14c + 7.15 = 14c + 105
Answer: 14c + 105
Step-by-step explanation: