Carson invested $3,900 in an account paying an interest rate of 2.1% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 14 years?

Answer:

For angle of 210°, coterminal angles are; 570° and -150°.

For angle of -120°, coterminal angles are; 240° and -480°

Step-by-step explanation:

Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;

For angle of 210°, coterminal angles are;

>> 210° + 360° = 570°

>> 210° - 360° = - 150°

For angle of -120°, coterminal angles are;

>> - 120° + 360° = 240°

>> - 120° - 360° = - 480°

Answer:

3.2%

Step-by-step explanation:

0.032*100 = 3.2

Answer:

0.032÷100

Step-by-step explanation:

example if you are given a 100 apples and you need to give 50 people. so to get percentage of Apple's you divide 100 by 50 then multiples by 100

Hi there!  

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I believe your answer is:  

Two units left, 7 units up.

»»————-　★　————-««  

Here’s why:

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

to left and above

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

if the triangles are similar then

16/24 = x/21 cross multiply expressions

336 = 24x divide both sides by 24

14 = x

Answer:

1.) x=-7

2.) x= -8

3.) x=13

4.) x=2

Step-by-step explanation:

ur lucky idc

1. 4x = -28

By dividing both sides of this equation by 4, we see that x = -7.

2. x - (-6) = -2

Note that x - (-6) is equal to x + 6. To solve the equation x + 6 = -2, subtract 6 from both sides to see that x = -8.

3. -x + 4 = -9

First, subtract 4 from both sides to get that -x = -13. Then, multiply both sides by -1 to see that x = 13.

4. -3x + 7 = 1

First, subtract 7 from both sides to get that -3x = -6. Then, divide both sides by -3 to see that x = 2.

Answer:

45 meals.

Step-by-step explanation:

Answer:

45 meals

Explanation:

Given :

Alonzo has bought 30pounds of dog food

He feed his dog 2/3 ponds for each meal,

To Find :

How meals will the food last

Solution :

Total pounds he bought => 30

He feeds 2/3 pounds in each meals

Therefore, consumed in each meal  =>

Therefore, food will last for 45 meals

Answer:

45 Meals

Step-by-step explanation:

It's pretty simple, just divide 30 by 2/3. Doing so will get 45.

Answer: its a

Step-by-step explanation: look at the bar graph you have to really look at it and be the graph

Answer:

None of the following are true. I don't know what you are supposed to answer.

Hope that this helps!

Answer:

the interquartile is 4

Step-by-step explanation:

Answer:

range:7 inter. range: 4

Step-by-step explanation:

Answer:

a. x=7  b. x= 4.5   c. c= 3

Step-by-step explanation:

a. 5x=35

   5x/5=35/5

     x = 7

b. 4x=18

    4x/4=18/4

     x=4.5

c. 6c-2c=12

   4c = 12

   4c/4 = 12/4

     c=3

Answer:

The measure of angle a is of 140º.

Step-by-step explanation:

Supplementary angles:

If two angles are supplementary, their measures add to 180º.

Angle a and angle b are supplemetary angles.

This means that

<a + <b = 180º.

m angle a = (5x+25) and m angle b = (x+17)

So

[tex]5x + 25 + x + 17 = 180[/tex]

[tex]6x + 42 = 180[/tex]

[tex]6x = 138[/tex]

[tex]x = \frac{138}{6}[/tex]

[tex]x = 23[/tex]

Measure of angle a:

[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]

The measure of angle a is of 140º.

Answer:

z≥-10

Step-by-step explanation

it just is, trust.

Answer:

B. Approximately 0.3159

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon.

This means that [tex]\mu = 1, \sigma = 0.1[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{0.1}{\sqrt{9}}[/tex]

If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?

This is the pvalue of Z when X = 0.97. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.97 - 1}{\frac{0.1}{\sqrt{9}}}[/tex]

[tex]Z = -0.9[/tex]

[tex]Z = -0.9[/tex] has a pvalue of 0.1841.

The correct answer is given by option B.

Answer:

Option C

Step-by-step explanation:

Given  

Probability of Mean value less than 0.97  

= Mean value -1/(0.1/sqrt (9))

Substituting the given values, we get -

Probability of Mean value less than 0.97  

= 0.97 -1/(0.1/sqrt (9))

= 0.97-1/(0.1/3)

= 0.1841

Hence, option C is correct

THE CORRECT ANSWER is 25 Cm³

Explanation:

Let's consider the vertical block first, having height 8cm, length 1 cm, width 2cm.

Hence the volume of that block = l.w.h = 8×2×1 = 16 cm³

Coming to the horizontal block, having height 3cm, width 3cm, & length 1 cm.

Hence the volume of that block will be = 3×3×1 = 9 cm²

The total volume of irregular figure = Volume of vertical block + horizontal block = 16+9 = 25 cm³

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Answer:

Infinite solutions

Step-by-step explanation:

Equation 1:

4x-6y=4

3(4x-6y=4)

12x-18y=12

Equation 2

(12x-18y=12)/3

4x-6y=4

They are the same equation, therefore, there are infinite solutions

Answer:

B) 3

Step-by-step explanation:

The (-) represents a flip over the X-Axis.

The |X-5| represents a Horizontal shift right because it's in between the parenthesis.

The 3 represents a positive vertical shift upwards.

Answer:

B.) 40°

Step-by-step explanation:

because the sum of all the interior angles should be 180°, so 50°+90°+y=180°

y must equal 40°

Answer:

Step-by-step explanation:

slope-intercept  form:   y = mx + b

by inspection ( just looking at the graph)  we can see that the line goes thur the +2 on the y axis.    so b=2   and we can also see that the line runs up hill so a positive slope and it's going up one for ever one over. So it has a positive 1 slope.

y = 1x + 2

y = x + 2

Answer:

8.1 inches

Step-by-step explanation:

5.4/2 = 2.7

2.7 + 5.4 = 8.1

Answer:

72 yd^3

Step-by-step explanation:

Answer:

Volume of this pyramid is 72.

Answer:

-2 and 4

Step-by-step explanation:

The zeros of a function are when the function equals 0.

To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero.  Because any number multiplied by 0 is 0.

So, set x+2=0 solve for x=-2

Set x-4=0 solve for x=4

Answer:

144 i think

Step-by-step explanation:

9514 1404 393

Answer:

  35%

Step-by-step explanation:

Of those 28+52 = 80 who would recommend their game, 28 tested game A. The probability is ...

  28/80 = 0.35 = 35%

The probability that a recommending customer tested game A is 35%.

Answer:

G

Step-by-step explanation:

I did this assignment yesterday

Answer:

x = 91

y = 98

Your answer is F.

Step-by-step explanation:

Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.

180 - 89 = 91

180 - 82 = 98

Hope this helps, and have a wonderful day! :)