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jok3333 [9.3K]
3 years ago
6

A loan company will provide a loan to Bill and Hillary for 75% of the appraised value of their home. The interest rate is 10.5%.

The first monthly interest payment is $820. The bank requires 4 discount points (hint: a discount point is 1% of the loan amount) to obtain this interest rate. How much will the discount points cost?
Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

The discount points will cost 3749.

Step-by-step explanation:

The first monthly interest payment is $820.

So, annual interest paid = 820\times12 = $9,840

Now, converting the annual interest to decimal = \frac{9840}{0.105} = $93,714.28

As given, the bank requires 4 discount points, this becomes 0.04.

So, total loan amount = 93714.28\times0.04 = $3748.57 ≈ $3749

Hence, the discount points will cost 3749.

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A watch company is developing packaging for its new watch. The designer uses octagons with a base area of 30 in2 and rectangles
bezimeni [28]

Answer:

It's (C) 240in3

Step-by-step explanation:

Volume of the prototype is 250 in.³

5 0
3 years ago
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Find the equation for the circle with a diameter whose endpoints are (-5, -3) and (3,2).
densk [106]

Answer:

  (x +1)^2 +(y +0.5)^2 = 22.25

Step-by-step explanation:

The center of the circle is the midpoint of the diameter, so is ...

  (h, k) = ((-5, -3) +(3, 2))/2 = (-5+3, -3+2)/2 = (-1, -1/2)

The circle formula is then ...

  (x -h)^2 +(y -k)^2 = r^2

  (x -(-1))^2 +(y -(-1/2))^2 = r^2

We can find r^2 by substituting one of the points for (x, y).

  (3 +1)^2 +(2 +1/2)^2 = r^2 = 16 +6.25 = 22.25

Then the circle equation is ...

  (x +1)^2 +(y +0.5)^2 = 22.25

3 0
3 years ago
The branch manager of an outlet (Store 1) of a nationwide
monitta

Answer:

1. ( 19.1416, 23.5384,)

2. (0.276348, 0.46651)

3. the sample size = 170.73 approximately 171

4. sample size = 334.07 approximately 334

5. sample of 334 should be taken by manager

Step-by-step explanation:

mean = bar x = 21.34 dollars

size of sample n = 70

standard deviation of sample = 9.22

we use t distribution as the population standard deviation is not known.

95% Confidence interval

1-α = 0.95

α = 0.05

degree of freedom = 70-1 = 69

α/2 = 0.025

using the t distribution tsble,

= 1.9949

confidence interval = 21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\

= 21.34 +- (1.9949*1.10200)

= 21.34 + 2.1984, 21.34 - 2.1984

= (23.5384, 19.1416)

the confidence interval of the mean amount spent at the supply store can be written as 19.1416<u<23.5384

2. sixe of those who only have a cat

p = 26/70 = 0.371429

at 90 % confidence interval,

1-α = 0.90

α = 0.10

we use the z table here

z(0.10/2) = Z(0.05)

= 1.645

0.371429+-1.645\sqrt} \frac{0.371429(1-0.371429)}{70}

= 0.371429 +-( 1.645 x 0.0578)

= 0.371429 + 0.095081, 0.371429 - 0.095081

= (0.276348, 0.46651)

3. sd = 10$

margin of erro,r e = 1.50$

α = 0.05

using z table

α/2 = Z0.025

= 1.96

sample size = 1.96² * 10² / 1.50²

= 3.8416 * 100/ 2.25

= 170.73

the sample size is approximately 171

d. we have 0.5 as sample proportion now

margin of error = 0.045

α = 0.10

Zα/2 = 0.05

= 1.645

sample size = 1.645²x0.5(1-0.5) / 0.045²

= 0.676506/0.002025

= 334. 07

sample size = 334

5.  sample of 334 should be taken by manager

3 0
3 years ago
A pound of fertilizer covers 42 square feet of lawn. Vivian Bulgakov’s lawn measures 8720.1 square feet. How much fertilizer, to
vazorg [7]
Answer: 8,762.1 . The nearest tenth of a pound should be 2, the decimal throwing me off
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3 years ago
Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of a function
ArbitrLikvidat [17]

Explanation:

A function is a relationship where any one x-value/input only has <u>one </u>corresponding y-value/output. (note: a y-value can have multiple x-values).

> This can be called "assigning one y-value to every x element".

The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).

So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.

hope this helps!!

4 0
1 year ago
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