An initial investment of $1,000 at 12% interest is compounded weekly (use 52
weeks in a year), What will the investment be worth in 30 years?
Round your answer to the nearest cent.

Answer:

84$

Step-by-step explanation:

1. 20% of 70  

0.20x70 = 14

2. Markup then add

70 + 14 = 84$

Hi there!

[tex]\large\boxed{\frac{\pi}{3} \text{ and } \frac{2\pi}{3}}[/tex]

From the unit circle, we can locate the two values of sine Ф (y-value of the coordinate)  at which sin Ф = √3/2.

The two values are Ф = π/3 and 2π/3.

Answer:

the area would be 935cm

Step-by-step explanation:

ty for reading :P

603.2246 square centimeters.

Answer:

B.

Step-by-step explanation:

Answer: 13 1/3

Step-by-step explanation:

Answer:

n-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

w=64

Step-by-step explanation:

you just have to multiply 4 on both sides to cancel the 1/4, and 16x4=64

Answer:

Step-by-step explanation:

We will undo the operations that obscure the value of W to find its value.

1/4W = 16

Since we divided W by 4 (1/4W is the same a W/4), we will multiply both sides by 4.

16 x 4 = 64.

The value of W is 64.

Answer:

a:c=2.5:1.25

Step-by-step explanation:

2a:3b=5:6

2(2.5):3(2)=5:6

3(2):2(1.25)=6:2.5=36:15

Answer:

In an equilateral triangle, all the sides and angles are of equal length. In an isosceles triangle, 2 of the sides are equal

Step-by-step explanation:

Answer:

use photo math lol

Step-by-step explanation:

Answer:

[tex]3\frac{1}{3} = \frac{10}{3} = 3.333333333[/tex]

Step-by-step explanation:

Hope this helps.

Answer:

D-y=-3x+5

Step-by-step explanation:

Slope is -3x and y intercept is positive 5

Answer:

Step-by-step explanation:

y - 2 = -3(x - 1)

y - 2 = -3x + 3

y = -3x + 5

answer is D

Answer:

it is c

Step-by-step explanation:

Based on the information given regarding the function, the correct option is C. g (x) = negative StartRoot x + 3 EndRoot + 8.

It should be noted that a function simply means the relation from a set of inputs to a set of possible outputs.

In this case, the function that has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8 will be g (x) = negative StartRoot x + 3 EndRoot + 8.

Learn more about functions on:

https://brainly.com/question/10439235

Answer:

top left choice

Step-by-step explanation:

the slope is negative, so its flipped

the y int is -6, below the x axis

Answer:

Graph A (the top left)

Step-by-step explanation:

The correct graph has to have a negative slope. So this narrows the options down to either A (top left) or B (top right). The y-intercept has to be negative, and out of A and B, only Graph A meets this requirement.

Hope it helps!

Answer:

38.71°C

Step-by-step explanation:

Given :

Initial temp, T0 = 20°C

Final temperature, T = 20 + 10 = 30°C

Time, t = 9 seconds

Surrounding temperature, Ts = 100°C

Newton's Law of cooling :

T = Ts + (T0 - Ts) * e^-kt

Obtain the value of k

30 = 100 + (20 - 100) * e^-9k

30 - 100 = - 80e^-9k

-70 = - 80e^-9k

-70 / - 80 = e^-9k

0.875 = e^-9k

Take the In of both sides

In(0.875) = - 9k

−0.133531 = - 9k

k = 0.133531 / 9

k = 0.0148

Hence,

t = 18

T = Ts + (T0 - Ts) * e^-kt

T = 100 + (20 - 100) * e^-0.0148(18)

T = 100 - 80 * e^-0.0148(18)

T = 100 - 80 * 0.7661326

T = 38.709392

T = 38.71°C

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean [tex]\mu _{\hat p} = p = 0.39[/tex]

The standard deviation;

[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }[/tex]

[tex]\sigma = 0.048[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]

[tex]Z = \dfrac{0.3 - 0.39 }{0.0488}[/tex]

[tex]Z = -1. 8 4[/tex]

From the z - tables;

[tex]P (\hat p \le 0.3 ) = P(z \le -1.84)[/tex]

[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0329}[/tex]

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean [tex]\mu_{\hat p} = p = 0.39[/tex]

the standard deviation [tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }[/tex]

[tex]\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }[/tex]

[tex]\sigma_{\hat p} =0.0244[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]

[tex]Z = \dfrac{0.3 - 0.39 }{0.0244}[/tex]

[tex]Z = -3.69[/tex]

From the z - tables;

[tex]P (\hat p \le 0.3 ) = P(z \le -3.69)[/tex]

[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0001}[/tex]

(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion  that is less than 30% also decreases.

Hey there!

They are both correct, and their expressions are equivalent.'

9(S + T) + 45 = 9S + 9T + 45

Have a terrificly amazing day!

Answer:

First i always use khan academy

Step-by-step explanation:

Answer:

P4200

Step-by-step explanation:

SI=PRT/100

P=Principal which is P10500

R=Rate which is 20%

T=Time which is 2 years

So SI= 10500×20×2/100

=P4200

Answer:

4-3-2

-1

Step-by-step explanation:

Answer:

first box is 60

second box is 103

third box is 50

last box is 103

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

Each side would be 60. 60/3 would be 20. So x = 20

Answer:

x = 20

Step-by-step explanation:

Looking at the image you've posted here. We can see this triangle is equilateral. That also means 3x is 60°, as are the other two angles. All you really have to do is dividing both sides of the equation by 3 to get x to equal 20.

Answer:

183.41

Step-by-step explanation:

pay 251.57

16% 40.25

3.64 9.16

6.2 15.60

1.45 3.65

I hope this is right

Answer:

C

Step-by-step explanation:

so the first one ends at 4.7107

the second- 3.3568

the third- 5.1401

and multiplying the first by 5000 we get- 23,553.5

for the second we get -6,713.6

for the third we get 41,120

adding them all together we get 71,387.1

and so C is the closest

The  value of the index at the end of the day should be considered as the $70,400.

Since

Stock X opens the day with 5000 shares at $4.30 per share.

Stock Y opens the day with 2000 shares at $3.20 per share.

Stock Z opens the day with 8000 shares at $4.90 per share.

This simple index rises 4.9% over the course of the day.  

So ,

[tex]= (5,000 \times \$3.4) + (2,000 \times \$3.20) + (8,000 \times $4.90) * 1.0.49[/tex]

= $70,400

hence, The  value of the index at the end of the day should be considered as the $70,400.

Learn more about stock here: https://brainly.com/question/24636535

Answer:

She had 14 prescriptions for tranquilizers.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of prescriptions she had for antibiotics.

y is the number of prescriptions she had for tranquilizers.

A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.

This means that:

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

[tex]x = \frac{3y}{2}[/tex]

She had 35 prescriptions altogether.

This means that:

[tex]x + y = 35[/tex]

How many did she have for tranquilizers?

We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.

[tex]x + y = 35[/tex]

[tex]\frac{3y}{2} + y = 35[/tex]

Multiplying everything by 2

[tex]3y + 2y = 70[/tex]

[tex]5y = 70[/tex]

[tex]y = \frac{70}{5}[/tex]

[tex]y = 14[/tex]

She had 14 prescriptions for tranquilizers.

Answer:

Let x be the number of 3-point questions.

Let y be the number of 5 point questions.