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Deffense [45]
2 years ago
4

Emma is considering buying her first home. The house she is interested in buying is priced at $141,000. Emma qualifies for a 30-

year mortgage at 5.15%. What will her monthly mortgage payment be?
Mathematics
1 answer:
Ede4ka [16]2 years ago
7 0
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 141000
PMT monthly payment?
R interest rate 0.0515
K compounded monthly 12 because the payment is monthly
N time 30 years
We need to solve for pmt
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
PMT=141,000÷((1−(1+0.0515÷12)^(
−12×30))÷(0.0515÷12))
=769.90...Answer
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A list has 10 numbers. Each number is a 1, 2, or 3. The average is 2 and the SD is 0. What is the list?
OLga [1]

Answer:

1, 1, 1, 2, 2, 2, 2, 3, 3, 3

Step-by-step explanation:

Since the standard deviation = 0

And the mean of the number = 2

If X is the sum of all the numbers, then

X/10 = 2

Cross multiply and make X the subject of formula

X = 2 × 10 = 20

The sum of the numbers will be 20

The number will be

1, 1, 1, 2, 2, 2, 2, 3, 3, 3

The sum of the above numbers is equal to 20 and the average value of the numbers is equal to 2.

7 0
2 years ago
The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to t
Serggg [28]
ANSWER


The correct option is,
k(x - 2)(x - 7) = 0

EXPLANATION

We were given that the solutions of the quadratic equation are
x = 2
and
x = 7.

This tells us that,

x - 2

and
x - 7

are factors of the quadratic equation.



This implies that the quadratic equation is of the form,

(x - 2)(x - 7) = 0

We were also told that

k


is a non zero constant.



This means that we can use k to multiply the whole equation and the solution will not be affected.


Our equation now becomes,

k(x - 2)(x - 7) = 0


Hence the correct answer is A.
5 0
2 years ago
Read 2 more answers
each morning papa notes the birds feeding on his birdfeeder. so far this month he has seen 59 blue jays, 68 black crows, 12 red
Vitek1552 [10]
It think it's 59/81.
6 0
2 years ago
The radius of a circular pond is increasing at a constant rate, which can be modeled by the function , where t is time in months
horrorfan [7]

Answer:

B. A(r(t)) = 25πt²

Step-by-step explanation:

Find the completed question below

The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.

Given

A(t) = πr²

r(t) = 5t

We are to evaluate the composite expression A(r(t))

A(r(t)) = A(5t)

To get A(5t), we will replace r in A(t) with 5t and simplify as shown

A(5t) = π(5t)²

A(5t) = π(25t²)

A(5t) = 25πt²

A(r(t)) = 25πt²

Hence the composite expression A(r(t)) is 25πt²

Option B is correct.

5 0
2 years ago
The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

6 0
2 years ago
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