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3 years ago

Find the solution set for -2 y - 1 ≤ 7.

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

$\bf \colorbox{red}{hello}$

Our answer is attached.

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GEOMETRY PLEASE HELP ME

castortr0y [4]

I'll go by boxes (top statement box is #1, top reason box is #2, etc.)

If you don't have enough boxes, you can omit (remove) the first 2 I wrote, which is the given

1. 8y = 9x - 14; y = 5
2. Given

3. 8(5) = 9x - 14
4. Substitution

5. 40 = 9x - 14
6. Simplification (or multiplication)

7. 54 = 9x
8. Additive property of equality

9. 6 = x
10. Division property of equality

11. x = 6
12. Symmetrical property of equality

Hope this helps (:

7 0

3 years ago

So you want to finance a car for $4840 let's say we offer a 4.5% interest rate on a two year loan at 6% on a five year loan?

Virty [35]

Answer:

Interest Rate on 2-Year Loan...$435.6

Interest Rate on 5-Year Loan...$1,452

Step-by-step explanation:

The formula for calculating simple interest is as follows.

I = P x R x T,

where I = interest

P= Principal

R= interest rate

T= time

For the loan at 4.5 percent for 2 years, the interest will be

= $4,840 x 4.5/100 x 2

= $4,840 x 0.045 x 2

= $435.6

Total cost of the loan will principal plus interest

=$435.6 + $4,840

=$5,275.6

Monthly loan cost

= $5,275.6/24

=$219.81

Total loan cost..$5,275.6

Monthly loan cost ...$219.81

For the Loan at 6 percent for 5 years, the interest will be

= $4,840 x 6/100 x 5

= $4,840 x 0.06 x 5

=$1,452

Total cost of the loan will be principal plus interest

=$ 4,840 + $1,45

=$6,292

Monthly costs will be

=$6,292/60

=$104.87

Total loan cost... $6,292

Monthly loan costs... $104.87

5 0

3 years ago

Explain how to solve 2^x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution

elena55 [62]

Answer:

$x=2.170$

Step-by-step explanation:

The given equation is $2^{x+1}=9$ .

We take logarithm of both sides to base 2 to get:

$\log_2(2^{x+1})=\log_29$

Apply the power rule of logarithms to get:

$x+1=\log_29$

We now apply the change of base formula:

$x+1=\frac{\log_{10}9}{\log_{10}2}$

$x+1=\frac{0.9542}{0.3010}$

$x+1=3.1701$

$x=3.1701-1$

$x=2.1701$

To the nearest thousandth, $x=2.170$

7 0

3 years ago

A swimming pool has a diameter of 32 feet. What is the area of the swimming pool that needs to be covered by a tarp?

anzhelika [568]

To get the area of a circle, use this formula: A = $\pi$ * radius^2

We can use 3.14 for $\pi$ .
And because this formula uses the radius and not the diameter, we will need to convert the diameter into a radius. The radius is half of a diameter.

32 / 2 = 16

Now we have our radius.

A = 3.14 * 16^2
A = 3.14 * 256
A = <span>803.84

So, you will need to have a tarp that is at least 803.84 feet squared to cover the pool.</span>

4 0

3 years ago

What is the area of a sector<br> when r = 3 and 0 = 2.75 radians?

Ivahew [28]

Area of circle: A=pi×r². This area coresponds to 360degrees, or 2×pi radians.

2×pi ....... pi×r²

t radians....x

where t=2.75rads

Area of t: x=pi×r²×t/2/pi=r²×t/2

Area of t: 3²×2.75/2=9×2.75/2=12.375

Answer: the area of 2.75 radians is 12.375

6 0

3 years ago