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scoundrel [369]
3 years ago
5

Circle A has a radius of 6 inches. Circle b has a radius 20% greater than circle A. What is the radius of circle B?

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Answer:

7.2inches.

Step-by-step explanation:

Given parameters:

Radius of Circle A  = 6inches

Unknown:

Radius of circle B  = ?

Solution:

We are to find the radius of circle B.

  The relationship between circle A and B is such that;

    Radius of Circle B  = 20% greater than that of A

   Radius of Circle B  = 1.2 x 6  = 7.2inches.

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Carmella is purchasing a $105,000 home and her bank is offering her a 30-
GREYUIT [131]

Answer:

$132.93

Step-by-step explanation:

We will use annuity formula, which is:

P=C[\frac{1-(1+r)^{-n}}{r}]

Where P is the loan amount

C is the monthly payment

r is the rate of interest [monthly]

n is the time period [in months]

Firstly, let's calculate her normal monthly payment (without purchasing points):

P is 105,000

C is what we need to find

r is the 0.045/12 = 0.00375

n is 12*30 = 360

Now, we have:

P=C[\frac{1-(1+r)^{-n}}{r}]\\105,000=C[\frac{1-(1+0.00375)^{-360}}{0.00375}]\\105,000=C[197.3612]\\C=532.02

So <u>monthly payment would be around $532.02</u>

<u />

Now,

With each point purchase, the interest rate goes down by 0.25%, so for 2 points it will be 4.5% - 2(0.25) = 4%

Also, since 20% downpayment, the loan amount would be (0.8)(105,000) = 84,000.

Now, putting these values into the annuity formula we have:

84,000=C[\frac{1-(1+0.0033)^{-360}}{0.0033}]\\84,000=C(210.4766)\\C=399.09

The <u>monthly payment would be around $399.09</u>

<u />

The amount that is lower is  532.02 - 399.09 = $132.93

4 0
3 years ago
Question 2 (5 points)
Agata [3.3K]

Answer:

b

Step-by-step explanation:

the + 1 would be where it intercepts the y axis

6 0
3 years ago
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