Rebecca Wright earned $115 in simple interest for 8 months at an annual interest rate of 5%. How much money did she invest?

Based on the percentages given on those who visited the Great Wall, the relative frequencies will show the following?

The number of people who went to Great Wall was:

= 200 x 85%

= 170 people

= Number of people who went to Great Wall x 30%

= 170 x 30%

= 51 people

= (1 - 85%) x Number of people surveyed x 80%

= 0.15 x 200 x 80%

= 24 people

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In the debit column, She records the $35 withdrawal. Debit is balanced in basic accounting by credits,

On a balance sheet of a company, a debit is an accounting entry that results in an increase in assets or a decrease in penalties.

Debits are balanced in basic accounting by credits, which function in the reverse manner.

If anyone withdraws the money from the account. The withdrawal will record in the debit column.

Hence In the debit column should record the $35 withdrawal.

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Answer: Debit

Step-by-step explanation: took the test (:

Answer:

angle-angle similarity theorem

Answer:

Nyana and Nelmaire ate 2/4, or 1/2 of the apple in all.

Step-by-step explanation:

1/4 + 1/4 equals 2/4
2/4 is equivalent to 1/2

Answer:

x=3

Step-by-step explanation:

4(6x-7) = 44

6x - 7 = 11

6x = 18

x= 3

Answer:

exist:12703

Step-by-step explanation:

does not exist :8913

Answer:

average speed  3.67mph

Step-by-step explanation:

Answer:

287

Step-by-step explanation:

Sum of A Finite Arithmetic Sequnece is

[tex] \frac{a _{1} + a _{n} }{2} n[/tex]

Where a1 is first term

an is final term

N is the number of terms.

We know a1 is 1

An is 40 but we don't know n.

To find n, we use the definition of a Arithmetic Sequence

[tex]a _{n} = a + (n - 1)d[/tex]

where d is the common difference. Let use the final term, 40 as a example.

Here the common difference is 3 so we have

[tex]40= 1 + (n - 1)3[/tex]

[tex]39 = 3(n - 1)[/tex]

[tex]13 = n - 1[/tex]

[tex]14 = n[/tex]

So we have 14 terms in this finite series.

Now we compute

[tex] \frac{1 + 40 }{2}(14) = \frac{41}{2} (14) = 41 \times 7 = 287[/tex]

So the answer is 287

Answer:

Every month, the number of tigers decays by a factor of 0.97

Step-by-step explanation:

khan academy!

Every month, the number of tigers decays by a factor of 0.97.

We have given that,

Simone is an ecologist who studies the change in the tiger population of Siberia over time.

An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = b^x, where b > 0 and b ≠ 1.

The relationship between the elapsed time t, in years, since Simone started studying the population, and the number of tigers, N(t) year ​ right parenthesis, is modeled by the following function: N year(t)=612⋅(2/3)^t

We have to determine to Complete the following sentence about the monthly rate of change in the tiger population.

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Answer:

X = 12

Step-by-step explanation:

Input 12 for X

[tex]3*(12)+6 = 42[/tex]

Answer:

x = 12

Step-by-step explanation:

The value of x is 12. (Refer attachment)

Answer:

18/6=108

Step-by-step explanation:

cause it adds up to 3 and not to 108

the growth factor is simply the same amount, but in decimal format, so what is 5.1% of anything?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.1\% of anything}}{\left( \cfrac{5.1}{100} \right)anything}\implies 0.051(anything)[/tex]

so the growth factor is simply the decimal format of 0.051.

Answer:

The correct option is G.Hope this help!!

Just factor out

[tex]\\ \rm\hookrightarrow \dfrac{x^2-6x+9}{6x-18}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x^2-3x-3x+9}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x(x-3)-3(x-3)}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{(x-3)(x-3)}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x-3}{6}[/tex]

(3,0)

Step-by-step explanation:

Different - add

2x - y = 6

+

x + y. = 3

3x = 9

÷3

x = 3

Substitute x = 3 into one of the equation:

x + y = 3

3 + y = 3

-3

y = 0

Solution is (3,0)

Hope this helps!

Answer:

[tex]\frac{68285}{44}[/tex] or [tex]1551.93181818...[/tex]

Step-by-step explanation:

[tex]\frac{9755}{2(\frac{22}{7})}\\\\[/tex]

Answer:I think it would be 28

Step-by-step explanation:

I think you mean 1+x=24+5, so that's what i'm answering

1 + x = 24 + 5

1 + x = 29

-1.        -1

x= 28

Answer:

A. 7950 sq. ft

Step-by-step explanation:

Volume of trailer = volume of a cuboid

Volume =  l × w × h

Volume = 53 × 15 × 10 = 7950

Answer=70

Total number of jeanette's grade =90

Number of students enrolled in health =63

Therefore. 63/90×100

=0.7×100

=70%

Answer:

see image

Step-by-step explanation:

Answer:

1) 8x - 24 = 24

2) 8x - 24 + 24 = 24 + 24

3) 8x = 48

4) x = 6

Step-by-step explanation:

Bolded are the answer choices:

4(2x - 6) = 24

First, distribute 4 to all terms within the parenthesis:

4(2x - 6) = 24

(4 * 2x) - (4 * 6)

(8x) - (24) = 24

8x - 24 = 24.

Next, add 24 to both sides of the equations:

8x - 24 (+24) = 24 (+24)

8x = 24 + 24

8x = 48

8x - 24 + 24 = 24 + 24

Then, divide 8 from both sides of the equation:

(8x)/8 = (48)/8

x = 48/8 = 6

8x = 48

x = 6

~

Answer:

m<U=70

Step-by-step explanation:

we know that the measure of the out side angle is equal to the measure of the 2 inside angles, so 120-50=70

Answer:

∠ U = 70°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ RVU is an exterior angle of the triangle , then

∠ U + 50° = 120° ( subtract 50° from both sides )

∠ U = 70°

Answer:

The answer is 2.Divide each side by 2

Simplify : y = 2x + 3

Replace x = 1 -> y = 5

We will draw a line that goes through the point 1 on the x axis, and point 5 on the y axis (cant draw right now, sorry xd)

(Now, you can find the gradient by simply forming a right triangle with the hypotenuse being the line itself, but i will use the slope to save time)

We will select 2 points : (1;0) and (0;5)

Replace it into m = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{5-0}{0-1} = -5[/tex]

Answer:

The reciprocal of an undefined slope is 0.

5x + 2y = 2120

x + y = 574

2y = 2120 - 5x

2y = 1148 - 2x

1148 - 2x = 2120 - 5x

-972 = -3x

x = 324

574 - 324 = y

y = 250

324 adult tickets sold, 250 student tickets sold

Answer:

y=-3+5

Step-by-step explanation:

Setting y=Ax+B we find that the slope A=-3 and -1=-3(2)+B which means that B=5. Thus, the equation of the line is y=-3x+5.

We calculate the volume of the cuboid :

60 x 100 x 40 = 240000 cm^3

If every bag has 8000 cm^3 of grit, he will need 240000 : 8000 = 30 bags

Every bag cost £2.50, so he will need £2.50 x 30 = £75

Since he only has £70, he doesn't have enough money to buy the grit.