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Alona [7]
3 years ago
13

If a borrower obtains an interest-only loan of $112,500 at an annual interest rate of 6%, what is the monthly interest payment (

rounded to the nearest $1)? $550 $563 $648 $675
Mathematics
1 answer:
olganol [36]3 years ago
6 0
$563

First you will need to find the annual interest amount. To do this you will need to find 6% of 112,500.

6% can be written in decimal form as .06, so we can multiply .06 to 112,500 to find the annual interest rate.

.06 • 112,500=6,750

6,750 is the annual interest amount.

The next part of the question asks the monthly interest rate. You know there are 12 months in a year so you can divide the annual interest amount by 12.

6,750÷12=562.5

$562.5 is the monthly interest payment and rounded to the nearest dollar would be

Choice 2: $563
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Step-by-step explanation:

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2 years ago
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A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6
katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is 49\ ft

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

h(t)=-16t^{2} +63t+4

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

h(3)=-16(3)^{2} +63(3)+4=49\ ft

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

so

Convert the function into a vertex form

h(t)=-16t^{2} +63t+4

Group terms that contain the same variable, and move the constant to the opposite side of the equation

h(t)-4=-16t^{2} +63t

Factor the leading coefficient

h(t)-4=-16(t^{2} -(63/16)t)

Complete the square. Remember to balance the equation by adding the same constants to each side

h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})

h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})

Rewrite as perfect squares

h(t)-(67,600/1,024)=-16(t-(63/32))^{2}

h(t)=-16(t-(63/32))^{2}+(67,600/1,024)

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

so

h(t)=-16t^{2} +63t+4

For h(t)=0

0=-16t^{2} +63t+4

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

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3 years ago
Find the volume of an construction cone if it has a radius of 4 inches and a height of 16 inches.
True [87]

Answer:

≈ 268 or 85.3π

Step-by-step explanation:

V = 1/3πr²h

V = 1/3 x 3.14 x 4² x 16

V ≈ 267.9467 or 268

also can be considered 85.3π

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An ice cream shop sold 12,789 chocolate and 9,324 cookie dough cones. They sold 1,078 more peanut butter cones than cookie dough
juin [17]
12,789 chocolate
9,324 Cookie Dough
10,402 Peanut Butter Cones
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46,303 in total

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2 years ago
What is the relationship between variance and standard deviation?
vovangra [49]
The relationship between variance and standard deviation is :
Standard deviation = sqrt (variance),
Variance = standard deviation^2.

hope this help
8 0
3 years ago
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