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Answer:

30189.155

Step-by-step explanation:

Recall the compound interest formula :

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

P = principal = 10000

r = rate = 3.7% = 0.037

n = quarterly = 4

t = 30

A = 10000(1 + 0.037/4)^30*4

A = 10000(1 + 0.00925) ^120

A = 10000(1.00925)^120

A = 10000 * 3.0189155

A = 30189.155

Answer:

6

Step-by-step explanation:

change up the formula so:

sqrt (10^2-8^2)= 6

Answer:

8

-4x+6(6-2x) = -7x - 36

-4x+36-12x = -7x-36

-16x+36 = -7x-36

-16x +7x = -36-36

-9x = -72

x = 72/9

x = 8

Answer:

1 batch

Step-by-step explanation:

Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.

4.8 + 5.6 = 10.5 pounds per soup

10.5*2 = 21 > 20 pounds

Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.

Answer:

1.66 pounds

Step-by-step explanation:

4.98 dollars divided by 3 pounds

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]

Answer:

Answer: z * 1 =

Step-by-step explanation:

So, add da numbers to get dat

Answer:

2z + 3 = 5

Step-by-step explanation:

2z + 3 = 5 Subtract 3 from both sides

2z = 2 Divide both sides by 2

z = 1

Answer:

D)

Step-by-step explanation:

4m+3

Answer:

90

Step-by-step explanation:

Change 5 hours to minutes. (5x60, and 300 minutes)

Divide 300 by 40. (7.5)

Then, multiply 7.5 by 12 (90)

Answer:

90 pizzas

Step-by-step explanation:

We know 5 hours = [tex]5\times60 = 300[/tex] minutes

If you consider 20 minutes as a period, 5 hours .as well as 300 minutes. contains [tex]\frac{300}{20} = 15[/tex] periods.

Emma can make 12 pizzas in 40 minutes.

So she can make 6 pizzas in 20 minutes (in half time)

In 1 period she makes 6 pizzas.

In 15 periods she makes [tex]15\times6 = 90[/tex] pizzas (Answer.)

Answer:

the common ratio is 3

Step-by-step explanation:

to solve for the common ratio, I like to take the second term and divide it by the first term

15/5 = 3

then I will check the rest of the terms

15*3 = 45

45*3 = 135

It looks like the common ratio is correct!

Answer:

1 is to 2

Ie

1/2

Step-by-step explanation:

hope it helps

Answer:

2 to 1

which equals 2

Step-by-step explanation:

if you look at point B (2,1) and B’ (4,2)

we can see that each value is multiplied by 2

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

Answer:

4 more hours

Step-by-step explanation:

First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.

Hope this helps

Answer:

105 degrees (x2) & 75 degrees

Step-by-step explanation:  

Consecutive Angle Formulas

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

i think the answer is

-4x+48

Answer:x>-3

Step-by-step explanation:

Step-by-step explanation:

la respuesta es -12 pero le puedes sacar la mitad osea -6

Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

Answer:

1. B

2. A

3. I

4. I

These should be correct

Answer:

-117/640

Step-by-step explanation:

ba + cd

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

Hence it can be calculated as follows

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

Answer: -2 11/20

Step-by-step explanation I did this and it is correct

Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

RQ=TV

QS=VU

RS=TU

While proving that 2 triangles are congruent you have to consider the same side for both triangles.

The mistake you made was that you presumed that since both have equal sides they are equal,

In a sense that is true but you have align it in the correct way, in option D) it shows RQ is equal to TU which is wrong, RQ is equal to VT, you have align it in a proper way.

B) ΔRQS ≅ ΔTVU here it is align perfectly to be matched

Happy to help :)

If you need any more help, you can ask me

Answer:

Step-by-step explanation:

We can find the longest side I.e. Hypotenuse using pythogorean theorem.

[tex] {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]

This is your answer hope it helps :)

Answer:

17?

Step-by-step explanation:

a squared + b squared = c squared (hypothenuse longest side)

square them, then add them and square root them.

Answer:

1 1/2

Step-by-step explanation:

Answer:

Here we can not see the options, so i will answer in a general way.

When we have a function y = f(x), we define:

x as the input

y as the output.

so f(x) is some kind of "machine", in wich we put an input x, and the "machine" does something and returns an output y.

In, this case, we have:

y = f(x) = 4*x - 3

then if we give this function different inputs, we will get different ouputs.

for example, if we use the input x = 0, then the output is:

y = f(0) = 4*0 - 3 = -3

Then if we made a table for inputs and outputs, we will have the data:

[tex]\left[\begin{array}{ccc}inp&out\\x&y\\0&-3\end{array}\right][/tex]

We can rewrite this table in a general way as:

[tex]\left[\begin{array}{ccc}inp&out\\x&4*x - 3\end{array}\right][/tex]

This means that for every input x, the output is always 4*x - 3.

To complete this type of tables, we usually use different values of x, for example here I will use some different ones:

y = f(3) = 4*3 - 3 = 12 - 3 = 9

y = f(10) = 4*10 - 3 = 40 - 3 = 37

y = f(-1) = 4*-1 - 3 = -4 - 3 = -7

Then we will have a table like:

[tex]\left[\begin{array}{ccc}inp&out\\3&9\\10&37\\-1&-7\end{array}\right][/tex]

Concluding, the thing that will always represent the output of our function is: 4*x - 3.

Answer:

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