Answer:
A. $1389.69
Step-by-step explanation:
To calculate the new monthly mortgage payment that Carissa will start paying going forward, we use the formula for calculating monthly mortgage payments.
The formula is:- M = P { [r ( 1+ r)^n] ÷ [ ( (1+r)^n) -1] }
Here, M is the monthly mortgage payment.
P is the principal
r is the monthly interest rate calculated by dividing your annual interest rate by 12
n is the number of payments(the number of months you will be paying the loan).
Hence, the new principal that Carissa must payback is $231,905.47¢.
The annual interest rate has been reduced to 5.25% from 5.75%.
Therefore, the new monthly interest rate will be obtained by dividing the new annual interest rate by 12
= 5.25%/2
= 0.438%
This is the new monthly interest rate.
Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.
300 is, therefore "n" that is required for the calculation.
All the terms needed for the calculation of her new monthly mortgage are now complete.
P = $231,905.47¢
r = 0.4375%
n = 300
M = 231,905.47 { [0.004375 (1+0.004375) ^300] ÷ [ ( (1+0.004375) ^ 300 ) - 1] }
= 231,905.47 { [ 0.004375 (3.7048) ] ÷ (2.7048) }
= 231,905.47 × 0.005992
M = $1,389.69
Therefore her new monthly mortgage payment will become $1,389.69
Answer: $1389.69
Step-by-step explanation:
How is Pythagorean theorem and geometric mean related?
Answer:
The two triangles formed are also similar to each other. The measure of the altitude drawn from the vertex of the right angle to the hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
Step-by-step explanation:
PLS HELP ASAP GIVING BRAINLIEST
PLZPLZPLZPLZPLZPL
1.5 im sorrry again if im wrong:(
Step-by-step explanation:
im sorry if i am wrong
Answer:
178.64 square cm
Step-by-step explanation:
5.8 x 8.8 x 2 = 102.08
8.8 x 8.7 = 76.56
76.56 + 102.08 =
178.64
Hope that helps!
50 points! Correct answer will get brainliest. Random answers will be reported
Answer:
4, -8
Step-by-step explanation:
Answer: The answer is <-4, -8>
Step-by-step explanation:
Solve the inequality
-5x > 35
Answer:
x is greater than or equal to -8
Step-by-step explanation:
35/-5 is 7 and since the sign is greater than that means that -5x will be greater than 35
determine whether the ordered pair (3,-5) is a solution to the system -2x+y=-11 & -2x-2y=-4
Answer:
No.
Step-by-step explanation:
-2(3)-5=-6-5=-11
-2(3)-2(-5)=-6+10=4, not -4.
Expand each expression and collect like terms. a. -3(2p - 3q)
Answer:
-6p+9q
Step-by-step explanation:
Multiply -3 with 2p and multiply -3 with 3q.
Can someone explain how to solve this?
9514 1404 393
Answer:
(2/3)(e^t +1)^(3/2)
Step-by-step explanation:
Use the substitution ...
u = e^t +1
Then du = e^t and you are finding the integral of ...
∫u^(1/2)·du
which you know by the power rule is ...
(2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)
Identify at least one confounding variable that undermines the conclusion drawn in the following fictional study:
Prof. Acosta was interested in which of two popular statistics textbooks (Statistics: It Will Change Your Life and Statistics: Bigger, Better, Stronger) was better for students. Prof. Acosta compared the two texts by assigning one text to a section of statistics taught by Prof. Agnew from 10 to 11 a.m. on Monday, Wednesday, and Friday, and the other text to a section of statistics taught by Prof. Alvarez from 7 to 10 p.m. on Wednesday evenings. At the end of the term, all students took the same comprehensive test. Students to whom Statistics: Bigger, Better, Stronger was assigned performed better on the test than did students to whom Statistics: It Will Change Your Life was assigned. Therefore, Prof. Acosta concluded that the former textbook was the better one.
Answer:
Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:
All students took the same comprehensive test.
Step-by-step explanation:
In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable. If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.
what is the range of 53, 63, 65, 66, 74, 81, 87?
Answer:
The range is 34!
Step-by-step explanation:
87-53=34
Answer:
34
Step-by-step explanation:
Hope this helps.
Hi can someone help me out. This is due by the end of the day.
Plz, help me I will give you a brainlist and Extra points. If you help me.
Select the expression that matches “subtract 3 from 4/9 of 20.”
A. 20−(4/9×3)
B. (4/9×20)−3
C. 4/9×(20−3)
D. 3−(4/9×20)
Answer:
B) (4/9 x 20)-3
Twelve less than the cube of the sum of six times a number and three.
Answer:
[tex](6 * n + 3)^{3}[/tex] - 12
Step-by-step explanation:
Twelve less than the cube of the sum of six times a number and three.
1. Change the words into numbers and math symbols.
Twelve = 12
Less than = subtract -
sum of six times a number and three = (6 * n + 3)
cube = exponent 3
2. Write the problem.
[tex](6 * n + 3)^{3}[/tex] - 12
Amber bought 3 kg of walnuts for $6.75 per kg and 4 kg of almonds for $8.69 per kg. She gave the cashier a $100 bill. What should Amber get back in change?
find the slope of the line that passes through the points (1,-4) and (3,-1)
Answer:
The slope is 3/2 or 1.5
Step-by-step explanation:
The slope is Rise/Run.
The difference in y-values, –1 -(-4) =3 is the rise.
the difference in x-values, 3 –1 = 2 is the run.
What is the perimeter of each figure?
2x
2x
X-8
x + 2
1
Answer:
triangle: 5x-8
square: 4x+8
Step-by-step explanation:
triangle: 2x + 2x + x -8
combine like terms
= 5x-8
square: x + 2 + x + 2 + x + 2 + x +2
combine like terms
= 4x + 8
All the answers you need is at the top
Answer:
I don't know if you need help, but the answer to the question in the picture is indeed A. :)
A 10-pound bag of wildflower seed covers 25 square feet. How many pounds of seed does it take to cover 1 square foot?
Answer:
0.4 pounds
Step-by-step explanation:
10 pounds / 25 square feet
to get the number of pounds per feet
10 / 25 = 0.4
so, your answer is 0.4 pounds per 1 square foot
Which expression is equal to 0?
A) 2 + 0 + 3
B) 2x0x3
C) 1 + (0 x 2)
D) (1 x 2) + 0
Answer:
c
Step-by-step explanation:
Need help! (5 3/4 1 5/6) - 6 7/12
Answer:
Step-by-step explanation:
7/12 / 3/10 = 35/
18
= 1 17/
18
≅ 1.9444444
Given the statement ΔQRS ≅ ΔXYZ, list all congruent parts you can conclude about the two triangles. Explain.
Answer:
Side QR is congruent to Side XY.
Side RS is congruent to Side YZ.
Side SQ is congruent to Side ZX.
Angle Q is congruent to Angle X.
Angle R is congruent to Angle Y.
Angle S is congruent to Angle Z.
Step-by-step explanation:
Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.
A and B are complementary angles. If m_A= (2x + 10)° and m
ZB = (3x + 15)°, then find the measure of ZB
Step-by-step explanation:
<A + < B = 90° { being complementary angles)
2x + 10° + 3x + 15° = 90°
5x = 90° - 15° - 10°
5x = 65°
x = 13°
Now
<B = 3x + 15° = 3 *13° + 15° = 54°
Hope it will help :)
3)
Ten students from a class participated in a math quiz. The scores obtained by
them were recorded as follows.
11, 6, 7, 13, 1, 13, 16, 7, 13, 16
Mean :
Median :
Mode :
Range :
Answer:
Mean: 10.3
Median: 12
Mode: 13
Range: 15
Step-by-step explanation:
First, let's define what all these terms mean.
Mean is the average of all the numbers in a set of data. Median is the number in the middle of a range whenever the numbers are put in ascending order. If there are two numbers in the middle instead of one, then take the average of those two numbers. Mode is the number that occurs the most in the set of data. Range is the difference between the largest and the smallest number in a set of data.
To make things a little easier overall, let's just go ahead and put all our numbers in ascending order, which will be as follows: 1, 6, 7, 7, 11, 13, 13, 13, 16, 16.
To find the mean, just add up all the numbers and divide by how many there are. So we'll add 1 + 6 + 7 + 7... and so on to get a total of 103. Next, we'll divide that number by 10 since there are 10 students. This gives us a mean of 10.3.
Next, we'll find the median. To find this, just figure out which number(s) is in the center of your data. Since we have an even number of terms (10), we'll have two numbers in the middle, being 11 and 13. To find our median from here, just add 11 and 13 and then divide by 2. 11 + 13 = 24 and then 24 / 2 = 12. This means that our median is 12.
Next, we'll find the mode. The mode is the number that is seen the most in a set of numbers. In our set, we see that there are three 13s. Since 13 is the most frequently used number in our set, this makes it the mode.
Finally, we'll find the range. The range is just the largest number in the set minus the smallest number in the set. In our set, 16 is our largest number and 1 is our smallest. Just do 16 - 1 = 15 and we'll see that 15 is the range of the set. Hope this helps!
In a class where there are a total of 80 pupils, 20 are girls and the remaining
are boys. What percent of the class are boys?
Answer:
75%
Step-by-step explanation:
First find the number of boys.
80 - 20 = 60
Now find the percentage my taking the number of boys upon the total, times that by 100 which gives the percentage.
[tex]\frac{60}{80}[/tex] × 100 = 75%
For f(x) = -4x + 2, find f(1).
9514 1404 393
Answer:
f(1) = -2
Step-by-step explanation:
Put 1 where x is and do the arithmetic.
f(1) = -4·1 +2
f(1) = -4 +2
f(1) = -2
- 2x – 117 = = 10x + 59
Answer:
[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]
What the expression is?
Answer:
29
Step-by-step explanation:
Answer:
The answer is 29
Use elimination to solve the system
2x-y=10
8x+y=20
Please someone help I need help so bad I’m so scared I’m gonna fail this test I may get held back if I fail this test please help me
The trapezoids below are similar. Find the two missing side lengths.
Answer:
y = 15, x = 4
Step-by-step explanation:
Hope this helped!
Answer:
y+15x=4
Step-by-step explanation:
Given y - 2 = 4(x + 1), the equation in slope-intercept form is
Do not include spaces in your answer
Answer:
Write in slope-intercept form,
y =mx+bxy=4x+6
Step-by-step explanation:
Answer:
y=2x+5
Step-by-step explanation
Replied to your comment lol
28 is 50% of what number?
Answer:
its 56
Step-by-step explanation
50% × x = 28 or, 50 100
× x = 28
Multiplying both sides by 100 and dividing both sides by 50,
we have x = 28 ×
100
50
x = 56
If you are using a calculator, simply enter 28×100÷50, which will give you the answer.