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neonofarm [45]
2 years ago
13

You want to purchase a house in 10 years. You estimate the cost will be $184,500.00. You want to make a 20% down payment and pay

closing costs, which are 8.5%. How much do you need to save each month to reach your goal?
Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
5 0
Use the formula of the future value of annuity ordinary and solve for pmt
First deducted the amount of down payment
184,500−184,500×0.20=147,600

Pmt=147,600÷(((1+0.085
÷12)^(12×10)−1)÷(0.085÷12))
=784.53 per month
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After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third
irinina [24]

Answer:

The 3rd term is

ar^2

Step-by-step explanation:

From the given information, the first term of the sequence is

a_1=a

The common ratio of the sequence is

r

The explicit formula for a geometric sequence is :

a_n=a_1(r^{n-1})

To find the third term, we put n=3 to get:

a_n=a(r^{3-1})

This simplifies to:

a_3=ar^2

7 0
3 years ago
A hoop, a uniform solid cylinder, a spherical shell, and a uniform solid sphere are released from rest at the top of an incline.
Serjik [45]

Answer:

Step-by-step explanation:

Given

Hoop, Uniform Solid Cylinder, Spherical shell and a uniform Solid sphere released from Rest from same height

Suppose they have same mass and radius

time Period is given by

t=\sqrt{\frac{2h}{a}} ,where h=height of release

a=acceleration

a=\frac{g\sin \theta }{1+\frac{I}{mr^2}}

Where I=moment of inertia

a for hoop

a=\frac{g\sin \theta }{1+\frac{mr^2}{mr^2}}

a=\frac{g\sin \theta }{2}

a for Uniform solid cylinder

a=\frac{g\sin \theta }{1+\frac{mr^2}{2mr^2}}

a=\frac{2g\sin \theta }{3}

a for spherical shell

a=\frac{g\sin \theta }{1+\frac{2mr^2}{3mr^2}}

a=\frac{3g\sin \theta }{5}

a for Uniform Solid

a=\frac{g\sin \theta }{1+\frac{2mr^2}{5mr^2}}

a=\frac{5g\sin \theta }{7}

time taken will be inversely proportional to the square root of acceleration

t_1=k\sqrt{2}=1.414k

t_2=k\sqrt{\frac{3}{2}}=1.224k

t_3=k\sqrt{\frac{5}{3}}=1.2909k

t_4=k\sqrt{\frac{7}{5}}=1.183k

thus first one to reach is Solid Sphere

second is Uniform solid cylinder

third is Spherical Shell

Fourth is hoop

3 0
3 years ago
I really need help with #15
Amiraneli [1.4K]
It is a 25% increase.
3 0
2 years ago
Read 2 more answers
What graph represents a function?
vredina [299]

Answer:

Bottom answer

Step-by-step explanation:

Although I cannot see the answer labels, the answer is the very bottom graph.  The way you can find a functional graph is if you add vertical lines going down and that there is only one point that crosses it, not two.  It is kind of difficult for me to explain, so if you need help, I suggest you look up how to know when a graph is a function or not.

4 0
2 years ago
Identify the slope that goes through the two given coordinate points, -3,0 and 3,2. A. -3
nirvana33 [79]

1)  with the the following equation you can find the slope having two points

m = Y2-Y1/X2-X1 ,  A(-3,0) B(3,2)

m= 2-(0) / 3-(-3) m = 2/6 = 1/3, the correct option is C

5 0
3 years ago
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