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maks197457 [2]
3 years ago
5

In order to accumulate enough money for a down payment on a​ house, a couple deposits $608 per month into an account paying 6% c

ompounded monthly. If payments are made at the end of each​ period, how much money will be in the account in 6 ​years? Type the amount in the account=$ (round to the nearest dollar)
Mathematics
1 answer:
____ [38]3 years ago
8 0
Hi there
The formula of the future value of annuity ordinary is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT monthly payment 608
R interest rate 0.06
K compounded monthly 12
N time 6years
So
Fv=608×(((1+0.06÷12)^(12×6)
−1)÷(0.06÷12))
=52,536.58...answer

Good luck!
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Answer:

Step-by-step explanation:

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The ratios in a 30-60-90 triangle are 1 : \sqrt[2]{3}: 2. Therefore, since the hypotenuse is the longest and it is 10, 10 / 2 is 5 meaning 5 is the smallest side.

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Firdavs [7]

The length 2.3 and 7.8 units

We have given that ΔABC, c = 5. 4, a = 3. 3, and measure of angle A = 20 degrees.

<h3>What is the formula for low of cosine?</h3>

The Law of Cosines, which tells us

a^{2}=b^{2} +c^{2} -2bccosA

giving us a quadratic equation for b we can solve.  But let's do it with the Law of Sines as asked.

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

We have c,a,A so the Law of Sines gives us sin C

sinC=\frac{csina}{a} =\frac{5.4sin20}{3.3} =0.5597

There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse

C_{a}=arcsin(0.5597)=34.033^{0}

C_{0}=180-C_{a}  =145.96^0

Both of these make a valid triangle with A=20°.   They give respective B's:

B_{a}=180-A-C_{a}  =125.96^0

B_{0}=180-C_{0}  =14.033^0

So we get two possibilities for b:

b=\frac{asinB}{sinA} \\\\b_{a} =\frac{3.3sin125.96}{sin 20} \\\\b_{a}=7.8\\\\ b_0=2.3

2.3 units and 7.8 units

Therefore we get the length 2.3 and 7.8 units

To learn more about the low of sine and cosine visit:

brainly.com/question/4372174

Answer: 2.3 units and 7.8 units

Let's check it with the Law of Cosines:

There's a shortcut for the quadratic formula when the middle term is 'even.'

Looks good.

4 0
2 years ago
this table shows input and output values for a linear function f(x). What is the difference of outputs for any two inputs that a
Solnce55 [7]
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5 0
3 years ago
Read 2 more answers
100 Points! What are the classifications of each system?
alexdok [17]

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

x+5y=-2\\x+5y=4

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

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The system has no solution

therefore

Is a inconsistent system

Part 2) we have

y=3x+4\\-2x+y=4

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

so

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

3x+y=4 ----> equation A

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Multiply equation A by -2 both sides

-2(3x+y)=-2(4)

-6x-2y=-8 ----> equation C

Compare equation B and equation C

Are identical lines

so

The system has infinity solutions

therefore

Is a consistent dependent system

4 0
3 years ago
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