Mitch opened a retirement account that has an annual yield of 4.2% compounding annually. He is planning on retiring in 13 years. How much must he deposit into that account each year so that he can have a total of $1,000,000 by the time he retires?

Answer: 72 feet

Step-by-step explanation: 24 x 3 = 72

24 PER minute.  Theirs 3 minutes so multiply that x 3 and you get 72 ft.  

Answer:

3 ft

Step-by-step explanation:

l = 5 ft

p = 16 ft

Using the formula

P=2(l+w)

solving for w

w = p/2 - l = 16/2-5=3ft

Answer:

I think it's simple sentence

Answer: 52-9 = 43 units

Step-by-step explanation:

Answer:An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

Step-by-step explanation:

Answer:

The answer is 890 . ...... :D

Answer:

15 is the middle number

Step-by-step explanation:

BECAUSE IF YOU COUNT FROM THE LEFT AND RIGHT AND WHICH NUMBER APPEARS IN THE MIDDLE IS YOUR MEDIAN

Answer:

15

Step-by-step explanation:

this asks for the median, and not the mean value.

please notice that these 2 values are often if not mostly different from each other.

the median just defines the middle of the value interval, so that half of the different values are left, and half are right of that median value.

here we have 7 values. do we find one, so that 3 other values are smaller, and 3 other values are bigger than that ?

that is 15.

10, 12, 13 are smaller.

16, 19 and 25 are bigger.

so, 15 is the median.

When translating into mathematical equations, "is" uses the equal sign and "difference" means that the operation to be used is subtraction.

So, "43 is the difference of Chrissy's age and 14" is written as:

43 = C - 14

Answer:

Slope = 1/5

Step-by-step explanation:

Given equation,

→ -x + 5y = 10

The slope-intercept form,

→ y = mx + b

→ slope = m

Now the slope-intercept form is,

→ -x + 5y = 10

→ 5y = x + 10

→ y = (x + 10)/5

→ [ y = (1/5)x + 2 ]

Then the required slope will be,

→ y = (1/5)x + 2

→ Slope = m = 1/5

Hence, the required slope is 1/5.

Answer:

\(\textsf{Slope}=\dfrac{1}{5}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given equation:

\(-x+5y=10\)

To find the slope of the given equation, use algebraic operations to isolate y.

Add x to both sides of the equation:

\(\implies -x+5y+x=10+x\)

\(\implies 5y=x+10\)

Divide both sides of the equation by 5:

\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)

\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)

\(\implies y=\dfrac{1}{5}x+2\)

The coefficient of x is the slope of the equation.

Therefore, the slope of the given equation is ¹/₅.

Answer:

ougylbhj,

Step-by-step explanation:

ulygkuyHold on, our servers are swamped. Wait for your answer to fully load

Answer:

1.  A) Swap sides  4= -2/3x-4 to -2/3x-4=4

B)  Group all constants on the right side of the equation

-2/3 times x=4+4

c) Add 4 to both sides:

-2/3x--4+4=4+4

D) Simplify the arithmetic:

-2/3 times x = 4+4

E ) Simplify the arithmetic:

-2/3 timws x =8

F) Isolate the x: -2/3 times x =8

G) Multiply both sides by inverse fraction 3/-2

-2/3x times 3/-2=8 times 3/-2

H) Simplify the signs:

-2/3 times x times -3/2=8 times 3/-2

I) Group like terms:

-2/3 times -3/2 x=8 times 3/-2

J) Simplify the arithmetic:

1x=8 times 3/-2

K) Simplify the left side:

x=8 times -3/2

L) simplify the signs

x=8 times 3/-2

N) Multiply the fractions:

x= 8(-3)/2

Answer to number one is X=-12

Number 2:

1) Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -6/7*x-(-4)-(-2)=0

2)

Simplify 6/7

3)          

 ((0 -  (6/7 • x)) -  -4) -  -2  = 0

4) Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

-4= -4/1 = -4 times 7/ 7

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

5)    Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-6x- (-4 times 7) / 7 = 28-6x/ 7

6) (28 -6x) / 7 - -2 =0

7) Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

-2= -2/1= -2 times 7/ 7

8)  Pull out like factors :

  28 - 6x  =   -2 • (3x - 14)

9)  Adding up the two equivalent fractions

-2 times ( 3x-14) - (-2 times 7) / 7 = 42-6x /7

10)

Pull out like factors :

  42 - 6x  =   -6 • (x - 7)

11) -6 times ( x-7) / 7 =0

12) When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator multiplys both sides of the equation by the denominator.

Here's how:

 -6•(x-7)/7 • 7 = 0 • 7

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -6  •  (x-7)  = 0

13) Solve :    -6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

14) Solve  :    x-7 = 0

Add  7  to both sides of the equation :

                     x = 7

Answer:

You can't simplify 9/2, but 9/2 as a mixed number is 4 1/2

hope this helped

Step-by-step explanation:

Answer:

You can't simplify 9/2, but 9/2 as a mixed number is 4 1/2

Step-by-step explanation:

answer is 30 jfjhfghgkf

its 30!!! this was so ez. Also thanks for the fr.ee points

Using the normal distribution, it is found that there is a 0.4038 = 40.38% probability that the person has an IQ score between 92 and 108.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 100, \sigma = 15\).

The probability that the person has an IQ score between 92 and 108 is the p-value of Z when X = 108 subtracted by the p-value of Z when X = 92, hence:

X = 108:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{108 - 100}{15}\)

Z = 0.53

Z = 0.53 has a p-value of 0.7019.

X = 92:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{92 - 100}{15}\)

Z = -0.53

Z = -0.53 has a p-value of 0.2981.

0.7019 - 0.2981 = 0.4038.

0.4038 = 40.38% probability that the person has an IQ score between 92 and 108.

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If an equilateral triangle has a perimeter of 24 feet. the area of the circle is approximately 50.27 square feet.

Since the perimeter of the equilateral triangle is 24 feet, each side has a length of 8 feet (since all three sides are equal).

The diameter of the circle is equal to the length of one side of the equilateral triangle, which is 8 feet. Therefore, the radius of the circle is half the diameter, which is 4 feet.

The area of a circle is given by the formula:

A = πr^2

where A is the area and r is the radius.

Plugging in the value of the radius, we get:

A = π(4 feet)^2

A = 16π square feet

A ≈ 50.27 square feet (rounded to two decimal places)

Therefore, the area of the circle is approximately 50.27 square feet.

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Answer:

ik that problem gimmie a sec

Step-by-step explanation:

Step-by-step explanation:

since 1 and 2 are same the lines which create 1(g and p) and 2(h and r)

the lines g h and p r shoul be parallel. we also know that g h is parallel which proves that p and r should be parallel as well

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

The correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.033%, or 33%).

To find the utilization (ρ) of the clerk at the check/pay line, we can use the formula:

ρ = λ / μ

where:

ρ = Utilization

λ = Arrival rate (rate at which customers arrive at the line)

μ = Service rate (rate at which the clerk can handle customers)

Given in the problem:

Arrival rate (λ) = 30 customers per hour

Service rate (μ) = 35 customers per hour

Now, let's calculate the utilization (ρ):

ρ = 30 / 35 ≈ 0.8571

To convert this to a percentage, we multiply by 100:

ρ ≈ 0.8571 * 100 ≈ 85.71%

Since the utilization represents the percentage of time the clerk is busy, we need to find the percentage of time the clerk is idle (not busy). This can be calculated by subtracting the utilization from 100%:

Idle time = 100% - Utilization

Idle time ≈ 100% - 85.71% ≈ 14.29%

Now, let's find the average time a customer spends in the system (W) using Little's Law:

W = L / λ

where:

W = Average time a customer spends in the system

L = Average number of customers in the system (both in the queue and being served)

λ = Arrival rate (rate at which customers arrive at the line)

Given in the problem:

Arrival rate (λ) = 30 customers per hour

Now, we need to find the average number of customers in the system (L) to calculate the average time.

L = Ls + λ

where:

Ls = Average number of customers in the queue

Ls = λ / (μ - λ)

Given in the problem:

Service rate (μ) = 35 customers per hour

Ls = 30 / (35 - 30) = 30 / 5 = 6 customers

Now, calculate the average number of customers in the system (L):

L = Ls + λ

L = 6 + 30 = 36 customers

Now, calculate the average time a customer spends in the system (W):

W = L / λ

W = 36 / 30 = 1.2 hours per customer

Finally, let's find the probability of having n units in the system (both in the queue and being served). In this case, n would be the number of customers in the system (L):

Probability of having n units in the system = (ρ^n) * (1 - ρ)

Probability of having 36 units in the system (L):

Probability of L customers in the system = (0.8571^36) * (1 - 0.8571) ≈ 0.0000183

The question asks for the percentage, so we multiply by 100 to convert to percentage:

Probability ≈ 0.0000183 * 100 ≈ 0.00183%

Thus, the correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.00183% * 18 ≈ 0.033%, or 33%).

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Answer:

56.5 cu.in

Step-by-step explanation:

Diameter is 6 inches,then radius(r)=3 inches

volume of hemisphere=2/3πr^3

=2/3×3.14×3×3×3

=2×3.14×3×3

=2×3.14×9

=56.52 cu.in

The expression will be;

⇒ (x- 4)² - 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² - 8x + 5

Now,

Solve the expression as;

⇒ x² - 8x + 5

⇒ x² - 8x + 16 - 16 + 5

⇒ (x- 4)² - 11

Thus, The value of the expression = (x- 4)² - 11

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Answer:

3600 and 9600

Step-by-step explanation:

let both accounts be rep by and A and B. We then add the two accounts

a + b = 9600 .......... eqn 1

payment on he first account = 14%  14/100 =  0.14

payment on the second account = 6% , 6/100 = 0.06

0.14a + 0.06b = 1056 ...... eqn 2

from equation 1  a+ b = 9600

a = 9600 - b ( we then put that into eqn 2

0.14(9600 - b) + 0.06b = 1056

1344 - 0.14b + 0.06b = 1056

-0.08b = -288    ( divide both sides by 0.08b

b = 3600

since a =  9600 -b  

a = 9600 - 3600

a = 6000

Answer:

f(x) = 2/5x^2.

Step-by-step explanation

Take the quadratic function x^2.

A vertical compression of 2/5  would transform it to:

f(x) = 2/5 x^2.

Answer:

24 days

Step-by-step explanation:

Let the permissible time be Ro

Let the initial activity be R= 8Ro

From;

0.693/t1/2 × t= 2.303 log R/Ro

Half life of the radionuclide= t1/2 = 8 days.

Hence;

0.693/8 × t = 2.303 log 8

t= 2.1/0.087

t= 24 days

The domain of the graph of the exponential function is (d) all real numbers

From the question, we have the following parameters that can be used in our computation:

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Answer:

Step 3 because they didn't add correctly

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total