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Dominik [7]
3 years ago
6

Which of these expressions will give the unpaid balance after 6 years on a $90,000 loan with an APR of 7.2%, compounded monthly,

if the monthly payment is $708.61?
A. 90,000(1+0.072)^72+708.61[1-(1+0.072)^72/0.072]
B. 90,000(1+0.006)^6+708.61[1-(1+0.006)^6/0.006]
C. 90,000(1+0.006)^72+708.61[1-(1+0.006)^72/0.006]
D. 90,000(1+0.072)^6+708.61[1-(1+0.072)^6/0.072]
Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

  <em>none of the expressions shown is correct</em>

  The appropriate expression is ...

     90,000(1+0.006)^72+708.61[(1-(1+0.006)^72)/0.006] . . . best matches C

Step-by-step explanation:

The formula used to calculate the remaining balance is ...

  A = P(1 +r)^n +p((1 -(1 +r)^n)/r) . . . . . note the parentheses on the fraction numerator

In this formula, r is the monthly interest rate: 7.2%/12 = 0.006, and n is the number of monthly payments: 6×12 = 72. Putting these values into the formula along with the loan amount (P=90,000) and the payment amount (p=708.61) gives ...

  A = 90,000(1.006)^72 +708.61((1 -(1.006)^72)/0.006)

  A = 74,871.52

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PLEASE HELP!!
ElenaW [278]

Answer:

-1 and -3

(n+7)(n-8)

Step-by-step explanation:

1. Find the Zeros

f(x)=x^{2} +4x+3

f(x)=\left(x+1\right)\left(x+3\right)

x+1=0\\x=-1\\x+3=0\\x=-3

2. Factoring Trinomials

f(x)=n^{2} -n-56

f(x)=\left(n+7\right)\left(n-8\right)

n+7=0\\n=-7\\n-8=0\\n=8

4 0
3 years ago
For a certain​ drug, the rate of reaction in appropriate units is given by Upper R prime (t )equalsStartFraction 2 Over t plus 1
Tems11 [23]

Answer:

a) 8.13

b) 4.10

Step-by-step explanation:

Given the rate of reaction R'(t) = 2/t+1 + 1/√t+1

In order to get the total reaction R(t) to the drugs at this times, we need to first integrate the given function to get R(t)

On integrating R'(t)

∫ (2/t+1 + 1/√t+1)dt

In integration, k∫f'(x)/f(x) dx = 1/k ln(fx)+C where k is any constant.

∫ (2/t+1 + 1/√t+1)dt

= ∫ (2/t+1)dt+ ∫ (1/√t+1)dt

= 2∫ 1/t+1 dt +∫1/+(t+1)^1/2 dt

= 2ln(t+1) + 2(t+1)^1/2 + C

= 2ln(t+1) + 2√(t+1) + C

a) For total reactions from t = 1 to t = 12

When t = 1

R(1) = 2ln2 + 2√2

≈ 4.21

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

R(12) - R(1) ≈ 12.34-4.21

≈ 8.13

Total reactions to the drugs over the period from t = 1 to t= 12 is approx 8.13.

b) For total reactions from t = 12 to t = 24

When t = 12

R(12) = 2ln13 + 2√13

≈ 12.34

When t = 24

R(24) = 2ln25 + 2√25

≈ 16.44

R(12) - R(1) ≈ 16.44-12.34

≈ 4.10

Total reactions to the drugs over the period from t = 12 to t= 24 is approx 4.10

3 0
2 years ago
If points S, O, and N are collinear, how many lines do they determine?
Gekata [30.6K]
It is only one line because a<span> set of points is collinear if they lie on a single straight line. This is very common to be applied in mathematics</span>
6 0
3 years ago
HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))​
Yakvenalex [24]

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

7 0
2 years ago
Need math help please!!
dem82 [27]

Answer:

my best guess is A

Step-by-step explanation:

5 0
3 years ago
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