An initial deposit of $5,000.00 is made into a savings account that compounds 7.1 % interest annually . How much is in the account at the end of five years ?

1350000 because 20x15 and 30x15

Answer:135000 ft^2

Step-by-step explanation:

Answer:

It's actually worth 15 points

Answer:

45

Step-by-step explanation:

when a = 6 , b =2

2a^2/ b^3 + b(2a+6)

=2(6)^2/ (2)^3 +(2)[2(6)+6)

=45

Answer:

[tex] - 4x > - 10 \\ x < 2.5[/tex]

Answer: 30

Step-by-step explanation:

3 times 2 is 6 and divided by 2 is 3 and 3 times 10 is 30

Answer:

triangle) 1/2

Step-by-step explanation:

let me know if this is incorrect

Given:

The function is:

[tex]y=-3(x+1)^2-1[/tex]

The parent function is:

[tex]y=x^2[/tex]

To find:

The transformation of the given function from the parent function.

Solution:

The transformation of a function is given by:

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph of f(x) is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given function can be written as is:

[tex]g(x)=-3(x+1)^2-1[/tex]

Let the parent function be [tex]f(x)=x^2[/tex], then

[tex]g(x)=-3f(x+1)-1[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]k=-3,a=1,b=-1[/tex]

Therefore, the graph of parent function is stretched vertically by by factor 3 and reflected across the x-axis because [tex]k=-3[/tex], after that the graph of the function shifts 1 unit left and 1 unit down to get the graph of given function.

Answer:

I think a but I'm not sure

Answer:

y = 32.5

x = 13

Step-by-step explanation:

opposite angles of the parallelogram are equal to each other.

parallelograms form 360° in total

so 60+ 55 = 115 * 2 (because two angles) = 230

360 - 230 = 130 (divide this by two to get one angle of the parallelogram) so 65°

2y = 65 °. and 5x = 65 °

y = 32.5

x = 13

Answer:

100 = 4×25

= 1×2×2×5×5

.......

Answer:

22.2 years

Step-by-step explanation:

Doubling formula is given as:

P(t) = Po × (2)^t/k

Where

Po = Initial amount invested = $5600

P(t) = Amount after time t = $72500

k = Time it takes to double = 6 years

t = Time in years = ??

Hence:

72500 = 5600 × (2)^t/6

Divide both sides by 5600

72500/5600 =( 5600 × (2)^t/6)5600

12.946428571 = (2)^t/6

Take the In of both sides

In 12.946428571 = In (2)^t/6

In 12.946428571 = t/6 In (2)

Divide both sides by In 2

In 12.946428571/In 2 = t/6

3.6944822628 = t/6

Cross Multiply

t = 6 × 3.6944822628

t = 22.166893577 years

Approximately

t = 22.2 years

Therefore, it would take 22.2 years

Answer:

A) 6

Step-by-step explanation:

in a 30-60-90° Δ the ratio of side lengths is 1 : [tex]\sqrt{3}[/tex] : 2

so we can set up this proportion and cross-multiply:

[tex]\sqrt{3}[/tex] / 1 = y / 2[tex]\sqrt{3}[/tex]

y = 2[tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex] which is 2x3 or 6

Answer:

Step-by-step explanation:

Let the missing side be x.

Use Pythagorean:

Answer:

Half of 40 is 20(new radius)

20^2 = 400

400 x 3.14 = 1256 meters^2

Formula of area of a circle:

πr2

pi(3.14 or 22/7 whatever they tell you to use for pi) x radius(half of your diameter or your given radius) being squared(^2 to the power of 2)

Answer:

<2 and <8 is alt interior angles, 3 and 5 are also alt interior angles, 1 and 7 are alt exterior angles, 1 and 5 are corresponding angles, 6 and 8 are vertical angles and 3 and 7 are corresponding angles

Step-by-step explanation:

Answer: The MAD of the data in the table is 10. If the additional drawings are Amy’s the MAD is the data set still decrease. If the are Emily’s, the MAD will increase. The MAD of the new data set does depend on whether it was Amy or Emily who turned in the additional drawings. So, Greg is incorrect.

Step-by-step explanation:

Answer:

sin w = 15/17

Step-by-step explanation:

sin w = opp/hyp

opp of W is VX = 15

hyp is the longest = 17

sin w = 15/17

=========================================================

Explanation:

A drawing may help. See the image below.

Angle X is the 90 degree angle, so angles W and W are the acute angles of right triangle VWX.

The reference angle here is W. Since this is the reference angle, the side opposite angle W is VX = 15. We simply call this "opposite".

The hypotenuse is always opposite the 90 degree angle. This is true no matter what acute reference angle you pick. Since X = 90, this makes WV = 17 the opposite side. Also, the hypotenuse is always the longest side.

The sine of an angle is the ratio of the opposite and hypotenuse

sin(angle) = opposite/hypotenuse

sin(W) = VX/WV

sin(W) = 15/17

Side note: The side XW = 8 isn't used at all. If you wanted to compute cos(W) or tan(W), then you would use side XW.

Answer:

9) C: x=4, y=2rt3

10) A: XY/YZ

11) A: XY/XZ

Step-by-step explanation:

9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a

10 - tan = opposite / adjacent

11 - cos = adjacent/hypotenuse

Answer:

9. (c)

10. (a)

11. (a)

................

Answer:

Pretty sure is 90 degrees

Step-by-step explanation:

Answer:

[tex] {a}^{2} = {100}^{2} - {80}^{2} \\ {a}^{2} = 10000 - 6400 \\ {a}^{2} = 3600 \\ a = \sqrt{3600} = 60mi[/tex]

Answer:

What shape? i don't see no shape

Answer:

What shape? Can you add in a picture or something? That would be very helpful in trying to figure out what shape we're dealing with.

Answer:

your answer is B uwu have good day

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The angle formed by the intersection of a tangent to a circle and an intersecting secant is 1/2 (Arc PS - arc PR)

PS = 208

PR = 74

Solution

x = 1/2 (208 - 74)

x = 1/2 (134)

x = 67

Answer:

Step-by-step explanation:

Answer:

B, 6

Step-by-step explanation:

As there are 2 service options and 3 regular options All you do is multiply them:

2×3=6

Heres a different way to show it:

FS = Full service

SS = self service

R = regular

M = Midgrade

P = Premium

FS,R FS,M FS,P

SS,R SS,M SS,P

So it's 6

Answer:

B. 6

Step-by-step explanation:

Full/self service = 2 options

regular/mid/premium = 3 options

2 x 3 = 6

Answer:

y = 3

Step-by-step explanation:

-7 = -4y + 5

Subtract 5 from both sides to isolate variable y:

-7 - 5 = -4y + 5 - 5

-12 = -4y + 0

-12 = -4y

Divide both sides by -4 to isolate variable y:

-12 ÷ -4 = -4y ÷ -4

(Negative ÷ Negative = Positive)

3 = 1y

3 = y

Check your work:

-7 = -4(3) + 5

Use PEMDAS:

-7 = -12 + 5

-7 = -7

Correct!

Answer:

the picture is messed up

Step-by-step explanation:

Answer:

34?

Step-by-step explanation:

P=a+b+c=10+12+12=34

Answer:

5.3 years or 17.2 years

Step-by-step explanation:

Answer:

The bottle that costs R59,99 for 375 g is cheaper

Step-by-step explanation:

The given costs of the bottles of honey are given as follows;

The cost of one of the bottles of honey = R89,99 for 530 g

The cost of the other bottle of honey = R59,99 for 357 g

Let 'x' represents the bottle of honey that costs R89,99 and let 'y' represent the bottle of honey that costs R59,99, we have;

The unit cost (cost per gram) for the bottle of honey, 'x', C/gₓ = R89,99/(530 g) ≈ R 0.16979/g

The unit cost (cost per gram) for the bottle of honey, 'y', [tex]C/g_y[/tex] = R59,99/(357 g) ≈ R 0.168/g

Given that the unit cost of a bottle 'y' ≈ R 0.168/g is less than the unit cost of a bottle of 'x' ≈ R 016979/g, a bottle 'y' is cheaper than the bottle 'x'

Therefore;

The bottle that costs R59,99 for 375 g is cheaper than the bottle that costs R89,99 for 530 g.