Which ordered pair IS IN the solution region of this graph?

Answer:

X+49+28=180

Step-by-step explanation:

Answer:

siny=xz/yz

sin45=y/15√2

15√2×1/√2=y

y=15

Answer:

16.5

Step-by-step explanation:

It takes 0.05 years account to reach $66,100

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned. The interest rate on a loan is typically noted on an annual basis known as the annual percentage rate (APR).

According to the question, we have

Principal = 39000

Interest rate = 3.2%

The investment compounds daily.

So we can get F = [tex]39000(1+0.032)^{x}[/tex]

When F = 66100

[tex]66100=39000(1+0.032)^{x}[/tex]

⇒ [tex]\frac{66100}{39000}=(1+0.032)^{x}[/tex]

⇒ [tex]1.69=(1.032)^{x}[/tex]

⇒ [tex]x = log 1.69_{1.032}[/tex]

⇒ [tex]x = \frac{log1.69}{log1.032}[/tex]

⇒ x = 17 days

It takes 17 days account to reach $66,100

Converting days into years

= [tex]\frac{17}{365}[/tex]

= 0.045

= 0.05 (nearest tenth of a year)

Hence, It takes 0.05 years account to reach $66,100.

Find out more information about interest rate here

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Answer:

I know that many people have helped u and I appreciate that you are thanking them.

Step-by-step explanation: Happy early Valentine’s Day!

Answer:

yw

Step-by-step explanation:

Answer:

33% is 55% of 0.6

Step-by-step explanation:

yUH

Answer:

Answer:

125

Step-by-step explanation:

multiply the three numbers

Answer:

7.5

Step-by-step explanation:

Percent Error =  

Vobserved - Vtrue

Vtrue

=  

5.7 - 5.3

5.3

=  

0.4

5.3

=  7.5471698113208%

Answer:7.5

Step-by-step explanation:

Answer:

1) x = 5

2) y = 5·√2

Step-by-step explanation:

1) The given parameter of the right triangle are;

The legs of the right triangle = 'x', and 5

One interior angle of the right triangle = 45°

Therefore, buy the interior angle summation property of a right triangle, we have;

The measure of the other angle, θ = 180° - 90° - 45° = 45°

From which we have;

A right triangle with an interior angle of 45° is an isosceles triangle with both legs equal

∴ The length of the other leg, x = 5

x = 5

2) By Pythagoras's theorem, we have that the square of the length of the hypotenuse, 'y', is given as follows;

y² = x² + 5²

∴ y² = 5² + 5²

y = √(5² + 5²) = √(25 + 25) = √50 = √(25 ×2) = 5·√2

y = 5·√2 in the simplest radical form.

Sorry for tje late answer but it is 150 * 0.08^x

The exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].

Depreciation is the rate by which the value of an object reduces with respect to time. it is given by the formula,

[tex]A = P(1-\dfrac{r}{100})^t[/tex]

where A is the value of object after t period of time, P is the principal amount, r is the rate of depreciation, and t is the time period.

We know the formula of the depreciation, Also, the initial value of the car is $15,000, and the rate of depreciation r that is 8% per year. Therefore, the function of the depreciation of the car can be written as,

[tex]A = P(1-\dfrac{r}{100})^t\\\\A = 15000(1-\dfrac{8}{100})^t\\\\A = 15000(1.08)^t[/tex]

Hence,  the exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].

Learn more about Depreciation:

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Answer:

x = 0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x+7)=−4x+14

(2)(x)+(2)(7)=−4x+14(Distribute)

2x+14=−4x+14

Step 2: Add 4x to both sides.

2x+14+4x=−4x+14+4x

6x+14=14

Step 3: Subtract 14 from both sides.

6x+14−14=14−14

6x=0

Step 4: Divide both sides by 6.

6x  0

6  = 6

x=0

Answer:

Henry can write 13 pages in 8 hours.

Step-by-step explanation:

Rate: 5 pages in 3 hours (5/3 pages per hour)

To obtain the quantity of pages in 8 hours, we have to multiply the rate per hour by 8.

5/3 x 8 = 40/3= 13.34

Rounded to the nearest number, Henry can write 13 pages in 8 hours.

Answer:

10 and 2/3 a page

Step-by-step explanation:

Answer:

1/2

0.5

50%

Step-by-step explanation:

The square  is spilt into 2 equal pieces, one out of the 2 is shaded therefore 1/2 is shaded. The decimal to represent the shaded area would be 0.5, as 1 times 1/2 = 0.5. As a percent the shaded area represents 50% as 1/2 times 100 (per cent = per hundred) is equivalent to 50.

I hope this helps :0).

Answer:

C: Cubic Expression!

Step-by-step explanation:

In this equation/expression, you can look at the highest exponent which is 3, and you can also look at how many terms it has, which is 3. This makes it a 3rd degree trinomial, which makes it C, Cubic Expression!

Answer:

Cubic Expression

Step-by-step explanation:

See answer above

Answer:

13/20 Hours

Step-by-step explanation:

you have to find a common denominator. (20) You do 4x5 and 5x4 both equal 20. Then you do 1x5=5 and 2x4=8 then 8+5=13  then you make your fraction which is 13/20.

Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

Answer:

96 loaves of bread

Step-by-step explanation:

Total baking powder = 24 ounces

Baking powder used per loaf of bread = 1/4 of an ounce

loaves of bread will Jorge be able to bake = Total baking powder / Baking powder used per loaf of bread

= 24 ÷ 1/4

= 24 × 4/1

= 96 loaves of bread

loaves of bread will Jorge be able to bake = 96 loaves of bread

Answer:

True

Step-by-step explanation:

In geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle.

Answer:

y =7 x = 6000

Step-by-step explanation:

Answer: x = 20

Step-by-step explanation:

3x + 20 = 4x

20 = x

Answer:

Step-by-step explanation:

2320mi(5cm/120mi)=96.66cm

So the length is rounded to 97cm

Answer:Initial number of trees (t)=204

Step-by-step explanation:

t = initial number of trees

Subtract 5 trees from the initial number of trees

we have,

t-5

each remaining tree made 210 oranges for a total of 41,790 oranges

We have,

(t-5) * 210=41790

Solve the equation

(t-5) * 210=41790

Open the bracket

210t-1050=41790

210t=41790+1050

210t=42840

Divide both sides by 210

210t/210=42840/210

t=204

The initial number of trees on MacDonald farm orange trees (t)=204

If 5 is removed from the initial trees

t-5=204-5

=199 trees

199 trees produce 210 oranges

We have,

199*210=41790 oranges

Answer:

Is it x = 85

196 +2x+(3x-6)

subtract 196 on both sides

simplify

add 6 on both sides

divide by 2

Answer:

y = 3x + 11

Step-by-step explanation:

obviously since y is 11 when x is zero the constant term is 11.

Then use the other coordinates to find the cooefficent of x.

-4= c × -5 + 11

-4= -5c + 11

5c=15, c=3

Therefore the equation should be:

y= 3x + 11

Answer:

x = 6 and y = -4 or (6,-4)

Step-by-step explanation: