Desmond opened a savings account and deposited $600.00 as principal. The account earns
6% interest, compounded annually. What is the balance after 6 years?
Use the formula A = P(1+r/n)^nt
where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.

1/2b+2≤8

1/2b≤6

b≤12

Any number less than or equal to 12 can solve the equation.

Answer

[tex]b\leq 12[/tex]

Step-by-step explanation

You would subtract two from the eight and that would get you six, and the reciprocal of 1/2 is two so technically you would multiply the 6 by two and that gets you 12.

Hope this helps any!

Step-by-step explanation:

4x-4x=-32-4

X=28

Is the answer

Answer:

No solution

Step-by-step explanation:

As the slopes are same and y-intercepts are different, we can conclude this system of equations has no solution.

The appropriate inference procedure is the t test for μdiff.

The t test is used to compare the means of two groups. It is a very important tool that can be used in inferential statistics.

Since it shows whether the means of two groups are significantly different, we can say that, the appropriate inference procedure is the t test for μdiff.

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Answer:

C. 1/3

Step-by-step explanation:

there are 48 possible outcomes, and out of those 16 of them have a sum of 3.

16/48

simplify

1/3

Answer:

D

Step-by-step explanation:

the number of days for 80 - 82 is 7 and the number of days for 82-84 is 9. Those are the only temperatures below 84 degrees, so you add them and get 16 :)

The length of BC= 7√2 and BD = 7.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given:

AD= 7, AC= 14

In Δ BDC

cos 45 = B/ H

1/√2 = 7/ BC

BC= 7√2

In Δ BDC

sin 45 = P/H

1/√2= BD / 7√2

BD = 7

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Answer:

See below ~

Step-by-step explanation:

The difference between a temperate coniferous forest and a taiga forest is a  temperate coniferous forest receive a good amount of rainfall.

Temperate coniferous forest is a terrestrial biome that is found in coastal regions that have warm summers and cool winters. They are also found in montane areas.

A taiga forest is characterised by cold, harsh climate with a low rate of rainfall and snow. They are characterized by coniferous forests.

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Answer:

3520

Step-by-step explanation:

Because 3 feet are  equal to a yard and 1760 yards are in one mile

So.. just add 1760+1760 and thats the equivalent of 2 miles

Answer:

50m^2

Step-by-step explanation:

cut the shape into half. Now you should have a rectangle and a right triangle. Then do 5•7=35 so 35m for the rectangle. Now do the triangle! 10-7=3 so the base is 3 so do 3•5=15m so add them together 15m+35m=50m^2

ALSO IF YOU NEED TO KNOW THE ANGLE X IS: 60*
Hope this helps! ;-)

Answer:

A

Step-by-step explanation:

You have to simplify the brackets in turn.

3 times x^3- 7x+1 = 3x^3- 21x+ 3

then do 3 times x + 4= 3x + 12

you then add them all together, if they have a power add them, if they just have an x add them, and if they are just a number add them.

So it goes to 3x^3- 24x - 9,

this is because 3x^3 cant be added/ subtracted by anything, -24x is made from -21x- 3x, and -9 is made from 3 - + 12, so this means 3 - 12 = -9.

I hope this helps, have a lovely day.

The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

From the graph, we have the following observations:

This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5

So, we have:

f(x) = a(x + 5)³(x - 2)²

The curve is inverted,

This means that a < 0

Assume a = -1.

Then, we have:

f(x) = -(x + 5)³(x - 2)²

Hence, the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

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Answer:

1/1000, 0.001

1/1000

Convert the negative exponent of base 10 into decimal: move to the left thrice

=0.001

Answer:

[tex]\huge\boxed{\bf\: 3:4:2}[/tex]

Step-by-step explanation:

In the given ratio, [tex]12:16:8[/tex], we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.

Now, let's divide the 3 numbers by 4.

[tex]12:16:8\\= \frac{12}{4}:\frac{16}{4}:\frac{8}{4}\\=\boxed{\bf\: 3:4:2}[/tex]

This ratio cannot be further simplified as they don't have any common multiples except for 1.

So, the simplified ratio = [tex]\boxed{\bf\: 3:4:2}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

If the measure of the angle ∠RQT is 125°. Then the measure of the angles ∠RQS and ∠SQT will be 44° and 81°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

If the measure of the angle ∠RQT is 125°. Then the measure of the angles ∠RQS and ∠SQT will be

Then we have

      ∠RQS + ∠SQT = 125°

(3x - 10)° + (4x + 9)° = 125°

                      7x - 1 = 125°

                          7x = 126°

                            x = 18°

Then the measure of the angle ∠RQS will be

∠RQS = 3 × 18 - 10

∠RQS = 44°

Then the measure of the angle ∠SQT will be

∠SQT = 4 × 18 + 9

∠SQT = 81°

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Answer:

One, since the lines are not parallel (you can tell by either the graph, or the coefficient of the x term, called "slope", and it's (3;4)

Answer:

S = (-6, -1)

T = (-7, 4)

U = (-6, 9)

V = (-4, 4)

Builder can build 7 one bedroom houses and 5 two bedroom houses.

What is consistent Equation?

A linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

Let x represents the number of one-bedroom houses and y represents the number of two bedroom houses.

According to Question,

Total number of houses is 12 i.e. x + y = 12..........(i)

Total we have 88 windows in which 6 windows can be use in one bedroom house and 9 windows can be used in two bedroom house so,

6x + 9y = 88 ..................(ii)

From Equation (i) and (ii), we get

x = 7 and y = 5

Thus, Builder can build 7 one bedroom houses and 5 two bedroom houses.

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Answer:

Step-by-step explanation:

The problem statement gives expressions and relations for revenue, cost, and profit. Substitute and simplify or solve, as appropriate.

__

Given: r(x) = 20x; c(x) = 3600+4x; p(x) = r(x) -c(x)

The formula for p(x) is ...

  p(x) = (20x) -(3600 +4x) . . . . substitute for r(x) and c(x)

  p(x) = 16x -3600 . . . . . . . . simplify

__

  r(x) = 2·c(x) . . . . given relation for revenue and cost

  20x = 2(3600 +4x) . . . . substitute for each

  12x = 7200 . . . . . . . simplify and subtract 8x

  x = 600 . . . . . . . divide by 12

Revenue is twice the cost when x = 600 units.

__

  p(x) = 292 +1/3r(x) . . . . given relation for profit and revenue

  16x -3600 = 292 +1/3(20x) . . . . . substitute for each

  28/3x = 3892 . . . . . . . . add 3600 -20/3x

  x = 417 . . . . . . . . multiply by 3/28

Profit is $292 more than 1/3 the revenue earned for 417 units.

Answer:48V/10

Step-by-step explanation:

I got it right from Khan Academy

Answer:

opens upwards

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

given

y = 5x² - 17x - 12

with a = 5 > 0

then parabola opens upward

Answer:

a=3 d=1 b and c cant be solved

Step-by-step explanation:

because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent

a=3 d=1

We know AB=CO b+2=8-C

we can only find ad, but we could not get b,c

The amount of money I would have after 45 years with an exponential increase is  $64,060.18.

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value

$2000 x (1.26)^15 = $64,060.18

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Answer:

The answer is  greater than or equal to 15 which is the third answer.

The approximate value of log b to the nearest hundredth is 1.23

Given the following logarithmic expressions

loog(5)b and log(9)48

Determine the value of log(9) 48

log(9)48 = 1.762

Equate log(5) b to 1.762 to log(5)b to determine the value of b

log(5)b = 1.762

b = 5^1.762

b = 17.044

log b = log 17.044 = 1.232

Hence the approximate value of log b to the nearest hundredth is 1.23

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Answer:

B =  1.232

Step-by-step explanation:

Just did it

Answer:

(a) C = $9250

(b) n = 21 tons

Step-by-step explanation:

(a)   11 tons being transported, so n = 11.

                ∴ C = 250 (11) + 650

                        C = $9250

(b)   C = $11,750

       ∴ 11750 = 250n + 6500

                250n = 5250

                   n = 21 tons

Hope this helps!