Erica recently invested in gold that is growing in value 4% annually. She invested $4000 initially. Find the value of her investment after 6 years.

Answer:

The answer is option 1.

Step-by-step explanation:

You have to apply Indices Law :

[tex] \frac{ {a}^{m} }{ {a}^{n} } ⇒ {a}^{m - n} [/tex]

So for this question,

[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = {7}^{ - 3 - ( - 5)} = {7}^{ - 3 + 5} = {7}^{2} [/tex]

Answer :

7²

[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = \\ {7}^{ - 3 - ( - 5)} = \\ {7}^{ - 3 + 5} = {?}^{2} [/tex]

Answer:

[tex]36 + 35 = 71[/tex]

Step-by-step explanation:

[tex]3 + 5 + 4 = 12 \\ \\ 3 \times 3 = 9 \\ 5 \times 3 = 15 \\ 4 \times 3 = 12 \\ 9 + 15 + 12 = 36[/tex]

Answer:71 is correct

Step-by-step explanation:

3+5+4=12

3*3=9

5*3=15

4*3=12

9+5+12=36

36+35=71

Answer:

540°

Step-by-step explanation:

90 revolutions = 360°×90 = 32400°

32400° in 60 sec or 1 min

so, in 1 sec 32400/60 = 540°

Answer:

540°

Step-by-step explanation:  

90 revolutions = 360°×90 = 32400°  

=> 32400° in 60 sec or 1 min  

=> In 1 sec,

=> 32400/60 = 540°

Answer:

Step-by-step explanation:

I'll use x  instead of theta.

So we have:

sin x / ( 1 + cos x) + (1 +cos x) / sinx

The LCM is sin x(1 + cos x) so we have

sin^2 x + (1 + cos x)^2 /  sin x(1 + cos x)

= sin^2 x + cos^2x + 2 cos x + 1 /  sin x(1 + cos x)

Now sin^2x + cos^2x = 1 so:

= 2 + 2 cos x /  sin x(1 + cos x)

= 2(1+ cos x) /  sin x(1 + cos x)

The 1 + cos x is common so we have:

2 / sin x

= 2 cosec x.

Hi, I'm happy to help!

for a box an whisker plot, maximum and minimum values on the edge of the lines. The maximum shown here is 8, because the line ends there. The minimum is -8 because the line ends there.

The median value is shown by the middle line, which is 4.

To sum it up: Maximum: 8, Minimum: -8, Median: 4\

I hope this was helpful, keep learning! :D

THIS MIGHT NOT BE RIGHT CAUSE I'M SICK

Answer:

1. Please refer to attached diagram.

2. 135

3. 135

Step-by-step explanation:

Given that

80%examines passed in English, n(E) = 80%

70%In mathematics, n(M) = 70%

and 60% in both subjects, n(E [tex]\cap[/tex] M)  = 60%

45 examines failed in both subject.

1. Venn Diagram is attached in the answer area.

One circle represents the pass examines in Maths and

Other circle represents the pass examines in English.

Rectangle represents the total number of examines that appeared for the exam.

Rectangle minus the area of union of circles represent the number of students who failed in both subjects.

2. To find the number of examines who passed in only one subject.

i.e. n(E) - n(E [tex]\cap[/tex] M) + n(M) - n(E [tex]\cap[/tex] M) = (80 - 60 + 70 - 60)% = 30%

Let us find the number of students who passed in atleast one subject:

[tex]n(E\cup M) = n(E) +n(M)-n(E \cap M)\\\Rightarrow n(E\cup M) = (80 +70-60)\% = \bold{90\%}[/tex]

So, number of students who failed in both subjects = 100 - 90% = 10% of total students = 45

So, total number of students appeared = 450

So, number of examines who passed in only one subject = 450 [tex]\times[/tex] 30% = 135

3. Number of students who failed in mathematics.

100% - Passed in Mathematics = 100% - 70% = 30% of 450 = 135

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

Step-by-step explanation:

y = 8 - x

12 = 8 - 4

12 = 4 (impossible)

Based on the triangle midsegment theorem, the length of QT is calculated as: B. 44 cm.

Using the image above as a reference, the triangle midsegment theorem states the length of the midsegment US, of triangle QRT is parallel to the third side, segment QT, and therefore has a length that is half of the length of segment QT.

Given that US is a midsegment in triangle QRT, and it is equal to 22 cm, therefore, we can find the length of the third side it is parallel to, side QT by  applying the triangle midsegment theorem as explained below:

The length of US = 1/2(the length of QT)

Substitute

22 = 1/2(QT)

Multiply both sides by 2

2(22) = QT

44 = QT

QT = 44 cm

Therefore, the answer is: B. 44 cm.

Learn more about the triangle midsegment theorem on:

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Answer:

B. 44 cm.

Step-by-step explanation:

Answer:

The correct option is (B).

Step-by-step explanation:

In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.

Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.

So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.

The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.

Compare the two averages to see whether the difference is 2 inches or not.

The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.

Thus, the correct option is (B).

Answer:

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

Step-by-step explanation:

The answer to C is 1.5 or 3/2

Since we know that 2x is equal to 3 because the solution is three and 3+3=6 then we divide 3 by 2 to get 3/2

Answer:

see below

Step-by-step explanation:

The formula for a geometric sequence is

an = a1 * r^ (n-1)  where a1 is the first term and r is the common ratio

The common ratio is  found by taking the second term and dividing it by the first term

a) 1, 2,4.........

a1 = 1

r = 2/1 = 2

an = 1 * ( 2) ^ (n-1)

Let n = 4

a4 = 1 * 2^ (4-1) = 1 * 2^3 = 8

b)50, 20, 8.........

a1 = 50

r = 50/20= 5/2

an = 50 * ( 5/2) ^ (n-1)

Let n = 4

a4 = 50 * (5/2)^ (4-1) = 50 * (5/2)^3 = 3125/4

Answer:

question 11: A

question 12: B

Step-by-step explanation:

Thanks calculator :)

Answer:

11. less than

12.less than

hope this helps

Step-by-step explanation:

Answer:

$26.25

Step-by-step explanation:

We know that I = Prt where I = Interest, P = Principal, r = rate (as a decimal) and t = time (in years). Therefore:

I = 750 * 0.035 * 1 = $26.25

Answer:

g(x) = –log2(x + 2)

Step-by-step explanation:

got it right on the assignment

The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = log 2x

The function is reflected over the x-axis, then the function will be

h(x) = - log 2x

And shifting left by 2 units, then replace x with (x + 2). Then the equation will be

g(x) = - log 2(x + 2)

g(x) = - log 2x + 4

The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.

The graph is given below.

More about the function link is given below.

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Answer:

Step-by-step explanation:

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer:

[tex]\boxed{y < -13}[/tex]

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)

Answer:

Step-by-step explanation:

The lateral surface area is:

[tex]\\ \tt\longmapsto SA=2\pi rh[[/te]

[tex]\\ \tt\longmapsto SA=2\times 22}{7}\times (2.5)(9.25)[/tex]

[tex]\\ \tt\longmapsto SA=145.23in^2[/tex]

Answer:

[tex] \boxed{\sf Time \ taken = 15 \ minutes} [/tex]

Given:

Initial speed (u) = 65 km/h

Final speed (v) = 85 km/h

Acceleration (a) = 80 km/h²

To Find:

Time taken for car to achieve a speed of 85 km/h in minutes

Step-by-step explanation:

[tex]\sf From \ equation \ of \ motion:[/tex]

[tex] \boxed{ \bold{v = u + at}}[/tex]

By substituting value of v, u & a we get:

[tex] \sf \implies 85 = 65 + 80t[/tex]

Substract 65 from both sides:

[tex] \sf \implies 85 - 65 = 65 - 65 + 80t[/tex]

[tex] \sf \implies 20 = 80t[/tex]

[tex] \sf \implies 80t = 20[/tex]

Dividing both sides by 80:

[tex] \sf \implies \frac{ \cancel{80}t}{ \cancel{80}} = \frac{20}{80} [/tex]

[tex] \sf \implies t = \frac{2 \cancel{0}}{8 \cancel{0}} [/tex]

[tex] \sf \implies t = \frac{ \cancel{2}}{ \cancel{2} \times 4} [/tex]

[tex] \sf \implies t = \frac{1}{4} \: h[/tex]

[tex] \sf \implies t = \frac{1}{4} \times 60 \: minutes[/tex]

[tex] \sf \implies t = 15 \: minutes[/tex]

So,

Time taken for car to achieve a speed of 85 km/h in minutes = 15 minutes

Answer:

227.7 hours

Step-by-step explanation:

of means multiply and is means equals

230% * 99 = what

Change the percent to decimal form

2.30 * 99 = what

227.7= what

[tex]\\ \sf\longmapsto 230\%\:of\:99[/tex]

[tex]\\ \sf\longmapsto \dfrac{230}{100}\times 99[/tex]

[tex]\\ \sf\longmapsto \dfrac{230(99)}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{22777}{100}[/tex]

[tex]\\ \sf\longmapsto 227.7hours[/tex]

The two liquids will have the same temperature at 10 units of time after the start of both processes.

Given: Graph showing changes of temperature of liquid A when it is heated and liquid B when it is cooled

To find: The time when the two liquids have the same temperature

The given graph is plotted such that 'P' representing the temperature of the liquid is taken on y-axis and 'x' representing the time is taken on x-axis.

The graphs of temperature change with respect to time, of both liquids A and B are plotted in the same answer space and it is implied that both processes (heating of liquid A and cooling of liquid B) occurs simultaneously.

The time when both liquids have the same temperature is represented by graphs of both liquids having the same 'P' value at the same 'x' value. In other words, it is represented by a point in the answer space at which the graphs of temperature of both liquids intersect.

As can be seen from the given figure, the graphs of temperature change of liquid A and B intersect at the point (10, 30), that is at 'x = 10'.

Since 'x' represents the time, this implies that the two liquids will have the same temperature at 10 units of time after the start of the experiment (x = 0).

Learn more about graphical analysis here:

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Answer:

B = 15.1°, C = 34.9°, c = 39.6

Step-by-step explanation:

law of sines

53/sin 130 = 18/sin B

sin B = .26;   B = 15.1°

C = 180 - 15.1 - 130 = 34.9°

c/sin 34.9 = 53/sin 130

c = 39.6

Answer:

Step-by-step explanation:

3) G

Step-by-step explanation:

Q(-1,-1) R(3,1) S(2,-4)

x+2 y+3 translation then rotation 180 (x,y) be (-x,-y)

Q -1+2 -1+3 (1,2) (-1,-2)

R 3+2 1+3 (5,4) (-5,-4)

S 2+2 -4+3 (4,-1)

Answer:

The answer is 4

Answer:

The value of k is 16, the angle of OLN and MNL is 72° .

Step-by-step explanation:

Given that alternate interior angles are the same. So we can assume that ∠OLN and ∠MNL have the same angle. In order to find k, we have to let ∠OLN = ∠MNL :

[tex]4k + 8 = 5k - 8[/tex]

[tex]5k - 4k = 8 + 8[/tex]

[tex]k = 16[/tex]

Next, we have to find the angle of OLN and MNL :

[tex]OLN = 4k + 8 = 4(16) + 8 = 72[/tex]

[tex]MNL = 5k - 8 = 5(16) - 8 = 72[/tex]

Answer:

B. First quartile

Step-by-step explanation:

The first quartile is the first 25% of a line graph, and the median of the lower half of a data set would be the median of the median, which means it would split the graph at 25%

Answer:

4+2x = 12

Step-by-step explanation:

sum means add an is means equal

4+2x = 12

Step-by-step explanation:

the sum of 4 and twice a number is 12:

Answer:

positive

Step-by-step explanation:

To solve this, we can look at the unit circle (see attached photo), We know:

(0,1) = π/2

(-1, 0) = π

(0, -1) = 3π/2

(1, 0) = 0

Across the circle, we know that π/3 is between 0 and π/2. Therefore, as the unit circle line between that is positive in the x direction (cos), we can say that cos(π/3) is positive