Need help finding the missing angle measure

Answer:

a) Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually is $5849.5

Step-by-step explanation:

Principal Amount P = 5000

Time t = 10 years

Annual interest i = 8% = 0.08

We need to find amount saved if interest is compounded a) annually b) semi-annually

a) Amount saved if the interest is compounded annually

If interest compounded annually, n= 1

Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values:

[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{1})^{1*2}\\A=5000(1+0.08)^2\\A=5000(1.08)^2\\A=5000(1.1664)\\A=5832[/tex]

So, Amount saved if the interest is compounded annually is $5832

b) Amount saved if the interest is compounded semi-annually

If interest compounded semi-annually, n= 2

Using Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values:

[tex]A=P(1+\frac{r}{n})^{nt} \\A=5000(1+\frac{0.08}{2})^{2*2}\\A=5000(1+0.04)^4\\A=5000(1.04)^4\\A=5000(1.1699)\\A=5849.5[/tex]

So, Amount saved if the interest is compounded semi-annually is $5849.5

(a). When compounded annually, the amount will be [tex]\$ 10,794.6[/tex]

(b). When compounded semi-annually, the amount will be [tex]\$ 10,955.6[/tex]

It is given that, an individual saves $5000 in a bank account at the beginning of each year for 10 years.

[tex]Principal(P)=5,000, t=10 years, rate(r)=8\%[/tex]

As we know that,

               [tex]Amount=P(1+\frac{r}{100} )^{t} \\\\Amount=5,000(1+\frac{8}{100})^{10} \\\\Amount=5,000*(\frac{108}{100})^{10}\\\\Amount=\$ 10,794.6[/tex]

When interest is compounded semi-annually;

[tex]r=8/2=4\%, t=10*2=20[/tex]

             [tex]Amount=5,000(1+\frac{4}{100})^{20} \\\\Amount=5,000*(\frac{104}{100})^{20}\\\\Amount=\$ 10,955.6[/tex]

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Answer: She has walked 9/20 miles in total

Step-by-step explanation:

1/5*4=4/20

1/4*5=5/20

4/20+5/20=9/20 miles

Answer:

y=5/2x+8

Step-by-step explanation:

slope: (y2-y1)/(x2-x1); (8-3)/(0-(-2))= 5/2

y-intercept is 8

10 - 6v = -104

-6v = -104 - 10

-6v = -114

6v = 114

v = 114/6

v = 57/3

v = 19

[tex]slope\; is\; unknown~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]

Answer:

2/4 or 1/2

Step-by-step explanation:

slope is rise/run, so count how many points are between your x-values and how many are between your y-values. there are 4 points between the x's and 2 between the y's.

y-axis is the rise because it goes up and down

x-axis is the run because it's horizontal

rise/run= 2/4= 1/2 because you always simplify.

Answer:187 questions answered correctly

Step-by-step explanation:

4*48=192

192-5=187

Answer:

(0, -6) (-7, 9)

Step-by-step explanation:

I recommend watching a khan academy video, its how I learned, cause I don't really know how to explain it on here  

Divide amount saved by percentage:

9/0.15 = 60

The original price was $60

Answer:$60

Step-by-step explanation:

9/15=0.6

0.6=1%

0.6*10=$60

Answer:

3[tex]\frac{3}{4}[/tex] or number 3

Step-by-step explanation:

Answer:

7 FLowers

Step-by-step explanation:

If you take away 3 from 12, you end up with 9, then you take 2 more away, leaving you with 7 flowers.

Answer:

B must travel at the rate of 10 miles per hour.

The speed at which B should travel is 10 mph

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the distance between A and B be D = 150 miles

Now , the equation will be

The speed of A = 20 mph

Let the speed of B be = B

The time required T = 5 hours

From the equation , Distance = Speed x Time

Substituting the values in the equation , we get

150 = ( A x T ) + ( B x T )

20 x 5 + ( B x 5 ) = 150

On simplifying the equation , we get

100 + 5B = 150

Subtracting 50 on both sides of the equation , we get

5B = 50

Divide by 5 on both sides of the equation , we get

B = 10 mph

Therefore , the value of B is 10 mph

Hence , the speed of B is 10 mph

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Answer:

I believe that the paper should be around 8 1/2 x 11.

You can find 8 1/2 by going to the mark shown between 8 and 9 on the side with inches.

Answer:

15

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

205 divided by 5=41

Answer:

The Answer is 41 oranges in each box

Answer:

it is 16 + 10 ÷ 2

Step-by-step explanation:

Answer:

-19+n

OR

n-19

Step-by-step explanation:

Answer:

It’s b

Step-by-step explanation:

Which is point g

Answer:

Z

Step-by-step explanation:

Answer:

$49,216.78

Step-by-step explanation:

A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k

A = Present value of deferred annuity

R = Payment at the end of period

R = 30,000

i = 0.06 / 2

n = (4)*2 = 8

k = deferred period, (18)*(2) = 36

A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36

A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36

A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185

A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185

A(n,k) = 30,000*6.732744875*0.24366872185

A(n,k) = 49216.78014700164

A(n,k) = $49,216.78

So the lump sum payment that the university accept now is $49,216.78

Answer:

Step-by-step explanation:

Given is the quadratic equation

It has the maximum height at its vertex, x-coordinate of which is calculated by the formula:

Calculating the highest point:

Answer:

no

Step-by-step explanation:

1. to make up the equations of lines PQ and RS:

(PQ)  [tex]\frac{x-0}{2} =\frac{y+9}{1}; \ \frac{x}{2}=\frac{y+9}{1};[/tex]

(RS)  [tex]\frac{x-1}{-2}=\frac{y-4}{1}; \ \frac{x-1}{-2}=\frac{y-4}{1};[/tex]

2. to write the pointed verctors of PQ and RS:

for PQ it is p=(2;1); for RS it is r=(-2;1).

3. according to the pointed vectors it is clear, the given lines are not perpendicular [2*(-2)+1*1≠0].

Answer:

6 hotdogs and 4 drinks

Step-by-step explanation:

4x + 1.50y = 30

For questions like this, you can do the equation that represents the price of the products first.

x + y  [tex]\geq[/tex] 9

After that, you can write the equation that represents the quantities.

Now, you just have to graph it to find the solution. When you're graphing, make sure that y is alone on one side. Here's how you rearrange the equations:

The first equation:

4x + 1.50y =30

*Subtract 4x from both sides, which leads to:

1.50 y = -4x + 30

*Divide by 1.50 on both sides, which leads to:

y = -2.66x + 20

The second equation:

x + y  [tex]\geq[/tex] 9

*Subtract x from both sides, which leads to:

y  [tex]\geq[/tex] -1x + 9

Now, use any graphing calculator (I prefer Desmos) to graph these two equations. In fact, you can just graph it on paper, too.

Here is the graph: (it is attached as a file)

You can look for any points that are on the red line but are also shaded blue. Make sure you look only in Quadrant 1- don't go into the negatives! One good point to choose would be (6,4)- this means that you buy 6 hotdogs and 4 drinks.

Answer:

[tex]y\geq 9-x[/tex] shaded up

[tex]y\leq 20-\frac{8}{3} x\\[/tex] shaded down

4 hotdogs, 8 drinks

Step-by-step explanation:

Answer:

Mick can run farther in less time if that's the question

Step-by-step explanation:

Mick's speed is faster.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Carlos can run 5 miles in 45 minutes.

45 minutes = 45/60 = 0.75 hours

Speed.

= 5/0.75

= 6.66 miles per hour.

Kelly can run 10 miles in 80 minutes.

80 minutes = 1.33 hours

Speed.

= 10/1.33

= 7.5 miles per hour.

Mick can run 30 miles in 170 minutes

170 minutes = 2.8 hours

Speed.

= 30/2.8

= 10.7 miles per hour

Thus,

Mick's speed is faster.

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Answer:

i just kno that D is 0

Step-by-step explanation:

-7 +7=0

Answer:C

Step-by-step explanation:

Answer:

$7.98 per hour

Step-by-step explanation:

Answer:

$31.5

Step-by-step explanation:

-$45

-30 percent off of $45

30 times 45 divided by 100

1350/100

13.5

45-13.5

$31.5

Answer:

4.32ft^2

Step-by-step explanation:

A of a rhombus = l x w

=2.4x1.8

=4.32

∴ the area of the solar panel is 4.32ft^2

Complete question is;

When high-density groups are separated by areas of low abundance, this distribution is termed: Group of answer choices

A) random distribution pattern

B) uniform distribution pattern

C) logistic distribution pattern

D) clumped distribution pattern

Answer:

D: Clumped Distribution Pattern

Step-by-step explanation:

Looking at the options, the correct option is Clumped distribution pattern.

This is because in density and dispersion phenomenon, Clumped patterns will normally occur when resources get concentrated in small areas within a larger habitat or due to individuals that form social groups. However,on large spatial scales, majority of organisms will likely have clumped distributions mainly because their habitats are not distributed uniformly over wide areas.