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morpeh [17]
3 years ago
14

Work out the surface area of this sphere. Give your answer to 1 decimal place.

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

452.4

Step-by-step equation:

surface area of a sphere formula= 4πr²

plug 6 in for r

4π(6)² =452.389 rounded  to 452.4

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Mandy obtains a $155,000 20/6 balloon mortgage with a rate of 4.25%. What will her monthly payments be?
elena55 [62]

Answer:

The answer to the question is

Her monthly payments will be $279.98

Step-by-step explanation:

To solve the question we apply the equation for  monthly payments as follows

Fixed monthly mortgage repayment formula is

A = P*r*\frac{r(1+r)^n}{(1+r)^n -1}

Where

A = Payment amount per month

r = interest rate = 4.25 %

n = number of months = 20×12 months or 240 months

P = Mortgage value = $155,000

Therefore A = (0.0425)(155000)\frac{0.0425(1+0.0425)^{240}}{(1+0.0425)^{240} -1} = $279.98

For balloon mortgage the loan balance is paid off or refinanced at the end of the loan term

4 0
3 years ago
Heyyy could someone please help me out?? Would appreciate it. Thanks in advance!!^^
vitfil [10]

Answer:

Below,...

Step-by-step explanation:

They are saying that if you add a odd number + a odd number than you'd get a even number,... odd + even = odd,... odd x even = even,... and so on,...

Hope it helps,... Chow!

5 0
3 years ago
Apply the distributive property to create an equivalent expression. 1/5(15+10k)
lara [203]
3 + 2k

This is because multiplying by 1/5 is like dividing each term by 5 
7 0
3 years ago
Read 2 more answers
Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o
ehidna [41]

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

6 0
3 years ago
Each set of ordered pairs represents a function. Write a rule that represents the function.
malfutka [58]
My answer to the question is as follows:

First one looks like you are squaring the number, then multiplying the result by 4, i.e.

<span>y=4<span>x2

</span></span><span>second one is similar, but instead of squaring and multiplying by 4, you are squaring and then dividing by 2
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
4 0
3 years ago
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