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Answer:

Y= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of Restaurants (PV)= 2,000

Growth rate (g)= 3%

To calculate the number of restaurants after t years, we need to use the following formula:

Y= PV*(1 + g)^t

For example, for 10 years:

Y= 2,000*(1.03^10)

Y= 2,688

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Answer:

12

Step-by-step explanation:

This is considered a geometric series.

a = 4

r = 2/3

[tex]Sum = \frac{a}{1-r}[/tex]

[tex]Sum = \frac{4}{1-\frac{2}{3} } =12[/tex]

Answer:

[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]

Step-by-step explanation:

[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]

Answer:

a

Step-by-step explanation:

a is the answer

Answer:

14/46

Step-by-step explanation:

Answer:

formula: A= a+b/2 times height

So 12+8=20/2=10x11=110

Step-by-step explanation:

Answer:

200/120 = 5/3

5/3 x 3 = 5 oz

you can also do it this way:

3/120 = x/200

x = 600/120 = 5

Answer:

961.327 square inches

hundreth = 961.328

Step-by-step explanation:

if u want I can show you the steps

Answer:

V = approx 2035.75

Answer:

12

Step-by-step explanation:

B to C looks like your diameter so half of 24 is 12.

Answer:

Step-by-step explanation:

First you need the third angle (C).

<C + 89  + 45 = 180       All triangles = 180 degrees. Combine the left terms.

<C + 134 = 180               Subtract 134 from both sides

<C = 180 - 134

<C = 46

Next, Let BA = x

x/Sin(46) = 15/Sin(89)

x = 15*sin(46) / Sin(89)

Sin(46) = 0.7193

Sin(89) = 0.9998

x = 0.7193 * 15 / 0.9998

x = 10.7911

Note

When you are studying this material, you should note 2 things.

Answer:

A, B, D

Step-by-step explanation:

Given that :

24 / 18 = 4 / 3 = 1.333

Comparing the options solutions for the options given :

3/9 ÷ 2/8 = 3/9 * 8/2 = 24 / 18 = 1.333

4/9 ÷ 2/6 = 4/9 * 6/2 = 24/18 = 1.333

5/6 ÷ 3/4 = 5/6 * 4/3 = 20 / 18

8/3 ÷ 6/3 = 8/3 * 3/6 = 24 / 18 = 1.333

Hence, expressions which are equal are :

A, B and D

Answer:

the closest I found was 79

Step-by-step explanation:

8×43=344

760-344=416

416÷11.5=36.173

36+43=79

Answer:

tangent 59° = Tree height / 45 feet

Tree Height = 1.6643 * 45

Tree Height = 74.8935 Feet

Step-by-step explanation:

Answer:2,097.80

Step-by-step explanation: If you multiply the 2,468.00 to 0.85% you will get the answer of 2,097.80.

Answer:

$2,097.80

Step-by-step explanation:

$2,468.00 - 15%

$2,468.00 * 0.15 = $370.20

$2,468.00 - $370.20 = $2,097.80

(Just another way to do it)

Answer:

0,8

Step-by-step explanation:

(-x-2)(x-4)=y

To find the x-intercept, substitute in 0 for y and solve for x. To find y-intercept, substitiue in 0 for x and solve for y.

(-0-2)(0-4)=y

(-2)(-4)=8

y=8

0,8

Answer:

y = 1/x-5 + 2

Step-by-step explanation:

Adding 2 will shift the graph up 2 units

Adding numbers to the x will shift the graph left, so subtract 5 to shift the graph to the right

Answer:

its just D or its D and E

Step-by-step explanation:

Answer:

you know that the coefficient of x is one so to find x the real equation is x+27= -12 so u cross over 27 to the right it will be -12-27=-39.

Answer: -13

How to: Simplify the expression.

Answer:

0 is less than 2 is equal to 2

0/

1

< 2/

1

= 2/

1

Answer:

The fourth one! (2,-8).

Answer:

He would be paid more if he took the hourly wage//option A

Step-by-step explanation: hope this helps<3

Answer:

x+ 4, -7/3

Step-by-step explanation:

Answer:

The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2.  The area of the unshaded square in Figure 1 can be represented by 4c. The combined area of the two unshaded squares in Figure 2 can be  4a+4b. The areas of the squares in Figure 1 and Figure 2 show that 4a+4b=4c.

Step-by-step explanation:

iReady math diagnostic.

Answer:

c sorry if im wrong

Step-by-step explanation:

soryy if im wrong please forgive me if i am

Answer:

D.the diagonal bisect each other.Since bisectors divide the diagonals equally in two parts.

Answer:

Total cost of the trip = 243 + 72x

Step-by-step explanation:

Cost of airfare = $243

Amount spent per day = $72

Which expression can he use to help him find the cost of the trip?

Let

x = number of days spent in Alaska

Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)

= 243 + (72 * x)

= 243 + 72x

Total cost of the trip = 243 + 72x

If he spent 4 days on the trip

Total cost of the trip = 243 + 72x

= 243 + 72(4)

= 243 + 288

= $531